Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 66 to 53 computations (19.7% saved)

sample3.2s (17.2%)

Results

3.2s

8256×

body

256

valid

preprocess61.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

578×	`times-frac_binary64`
564×	`cancel-sign-sub-inv_binary64`
389×	`fma-def_binary64`
376×	`distribute-rgt-in_binary64`
367×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	93
1	91	69
2	344	69
3	1058	69
4	4342	69
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

Outputs
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))))))) (exp.f64 (neg.f64 (*.f64 x x))))))
(-.f64 1 (/.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))

Compiler

Compiled 66 to 53 computations (19.7% saved)

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

578×	`times-frac_binary64`
564×	`cancel-sign-sub-inv_binary64`
389×	`fma-def_binary64`
376×	`distribute-rgt-in_binary64`
367×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	93
1	91	69
2	344	69
3	1058	69
4	4342	69

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

Outputs
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))))))) (exp.f64 (neg.f64 (*.f64 x x))))))
(-.f64 1 (/.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))

eval2.0ms (0%)

Compiler: Compiled 111 to 86 computations (22.5% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

11.5b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.5b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
▶	11.5b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))

Status

Error

Program

▶

11.5b

(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

▶

11.5b

(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))

Compiler

Compiled 112 to 88 computations (21.4% saved)

localize129.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
✓	0.4b	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
✓	0.7b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
✓	11.5b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))

Compiler

Compiled 311 to 225 computations (27.7% saved)

series119.0ms (0.6%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
64.0ms	x	@	inf	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
24.0ms	x	@	-inf	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
11.0ms	x	@	0	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
4.0ms	x	@	inf	(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
3.0ms	x	@	0	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))

rewrite167.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

285×	`add-sqr-sqrt_binary64`
270×	`add-log-exp_binary64`
270×	`pow1_binary64`
269×	`*-un-lft-identity_binary64`
269×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	117
1	565	99

Stop Event

1×	node limit

Counts

4 → 121

Calls

Call 1

Inputs
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) (/.f64 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 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simplify223.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-neg_binary64`
641×	`associate--l+_binary64`
530×	`associate-+r+_binary64`
455×	`fma-def_binary64`
444×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	2521
1	620	2384
2	1764	2078
3	7503	2078

Stop Event

1×	node limit

Counts

169 → 141

Calls

Call 1

Inputs
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(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))

Outputs
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 5)) (+.f64 (/.f64 31853699/125000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))
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(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
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(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
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(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
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(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
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(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
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(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
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(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
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(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
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(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
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(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))

localize304.0ms (1.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))
✓	0.5b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	0.7b	(+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))
✓	11.5b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 447 to 340 computations (23.9% saved)

series22.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
6.0ms	x	@	inf	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
6.0ms	x	@	0	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
1.0ms	x	@	inf	(+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))
1.0ms	x	@	-inf	(+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))

rewrite153.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

321×	`add-sqr-sqrt_binary64`
305×	`*-un-lft-identity_binary64`
305×	`pow1_binary64`
302×	`add-log-exp_binary64`
301×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	131
1	642	95

Stop Event

1×	node limit

Counts

4 → 104

Calls

Call 1

Inputs
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))
(*.f64 3275911/10000000 (fabs.f64 x))
(+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))

Outputs
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simplify152.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

611×	`div-sub_binary64`
568×	`fma-def_binary64`
463×	`distribute-rgt-in_binary64`
449×	`distribute-lft-in_binary64`
347×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	1476
1	242	1452
2	440	1428
3	1382	1428
4	7234	1428

Stop Event

1×	node limit

Counts

140 → 114

Calls

Call 1

Inputs
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
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(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
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(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))

Outputs
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))))
(-.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))))
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(-.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
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(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
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(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))))
(-.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))))
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(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))

eval811.0ms (4.4%)

Compiler: Compiled 20567 to 15805 computations (23.2% saved)

prune94.0ms (0.5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	289	18	307
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	290	19	309

Error

11.5b

Counts

309 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	12.5b	(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
	12.5b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (fma.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (/.f64 1 (fma.f64 3275911/10000000 x 1)) 1421413741/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
▶	48.7b	(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
	11.5b	(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
	12.8b	(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2) 1) (-.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1))
	13.4b	(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) 1)
▶	11.5b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
	48.7b	(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3))
	12.5b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
	12.8b	(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
✓	11.5b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	12.7b	(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2) (-.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
▶	12.5b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (cbrt.f64 (pow.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 3))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
▶	12.8b	(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
	12.8b	(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
	48.8b	(+.f64 1 (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 4)) (-.f64 (fma.f64 (+.f64 (/.f64 31853699/125000000 (fma.f64 3275911/10000000 x 1)) (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 5)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))) (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 4)) (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))))) (*.f64 x x) (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 5)) (+.f64 (/.f64 31853699/125000000 (fma.f64 3275911/10000000 x 1)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)))))))
	48.7b	(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3) 1/3)
▶	11.5b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	13.7b	(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))

Compiler

Compiled 2205 to 1814 computations (17.7% saved)

localize118.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
	0.5b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	0.7b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
✓	11.5b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))

Compiler

Compiled 332 to 242 computations (27.1% saved)

series23.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	x	@	0	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
6.0ms	x	@	0	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
2.0ms	x	@	inf	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
2.0ms	x	@	-inf	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
1.0ms	x	@	0	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))

rewrite84.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

302×	`add-sqr-sqrt_binary64`
287×	`pow1_binary64`
286×	`*-un-lft-identity_binary64`
286×	`add-log-exp_binary64`
285×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	107
1	615	91

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

Inputs

(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))

(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))

(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))

Outputs

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simplify93.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

796×	`fma-neg_binary64`
531×	`associate-+r+_binary64`
494×	`associate--l+_binary64`
433×	`fma-def_binary64`
426×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	2401
1	631	2281
2	1765	1982
3	7352	1982

Stop Event

1×	node limit

Counts

129 → 111

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 5))) (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (.f64 1421413741/1000000000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (pow.f64 x 2)) (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 5))) (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
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(-.f64 (+.f64 (.f64 8890523/31250000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (exp.f64 (pow.f64 x 2))))) (+.f64 1 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4) (exp.f64 (pow.f64 x 2))))))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 5) (exp.f64 (pow.f64 x 2))))) (+.f64 (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) (exp.f64 (pow.f64 x 2))))) (.f64 31853699/125000000 (/.f64 1 (.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))))))
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(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
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(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
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(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))

Outputs
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(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
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(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
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(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
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(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
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(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
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(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
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(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))

localize161.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))
✓	0.4b	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))
✓	0.7b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓	11.5b	(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))

Compiler

Compiled 280 to 225 computations (19.6% saved)

series8.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
1.0ms	x	@	-inf	(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
1.0ms	x	@	0	(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
1.0ms	x	@	inf	(/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))
1.0ms	x	@	0	(/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))

rewrite148.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`prod-diff_binary64`
279×	`add-sqr-sqrt_binary64`
264×	`add-log-exp_binary64`
263×	`pow1_binary64`
263×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	131
1	558	127
2	7811	127

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

Inputs
(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))
(/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))

Outputs
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simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

645×	`associate-*l/_binary64`
447×	`fma-def_binary64`
380×	`fma-neg_binary64`
346×	`associate-/l/_binary64`
286×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	732
1	371	700
2	1108	667
3	3917	629

Stop Event

1×	node limit

Counts

182 → 191

Calls

Call 1

Inputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (+.f64 (.f64 -40002364818879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (+.f64 (.f64 -40002364818879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 1881321463217960143956490654523/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 1 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (.f64 -1 (/.f64 (-.f64 (.f64 1705910477000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))) (.f64 10000000/3275911 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (pow.f64 x 3))))))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 1 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (.f64 -1705910477000000000000/35155743162854883031 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) (.f64 -10000000/3275911 (/.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 3))))
-195873299/500000000
(-.f64 (*.f64 -3477069720320819/10000000000000000 x) 195873299/500000000)
(-.f64 (+.f64 (.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (.f64 -3477069720320819/10000000000000000 x)) 195873299/500000000)
(-.f64 (+.f64 (.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -3477069720320819/10000000000000000 x) (*.f64 -37314496653583803988263375299/1000000000000000000000000000000 (pow.f64 x 3)))) 195873299/500000000)
-1453152027/1000000000
(-.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) 1453152027/1000000000)
(-.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (+.f64 (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
(-.f64 (+.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
-1453152027/1000000000
(-.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) 1453152027/1000000000)
(-.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (+.f64 (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
(-.f64 (+.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
1029667143/1000000000
(+.f64 1029667143/1000000000 (*.f64 -2193742730720041/10000000000000000 x))
(+.f64 1029667143/1000000000 (+.f64 (.f64 -2193742730720041/10000000000000000 x) (.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2))))
(+.f64 (.f64 -98171347176541251569707947359/1000000000000000000000000000000 (pow.f64 x 3)) (+.f64 1029667143/1000000000 (+.f64 (.f64 -2193742730720041/10000000000000000 x) (*.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2)))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 3575962885000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1453152027/327591100 (/.f64 1 x))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 3575962885000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1453152027/327591100 (/.f64 1 x))))
745170407/1000000000
(+.f64 745170407/1000000000 (*.f64 -8007952583978091/10000000000000000 x))
(+.f64 (.f64 12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 745170407/1000000000 (.f64 -8007952583978091/10000000000000000 x)))
(+.f64 (.f64 12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 745170407/1000000000 (+.f64 (.f64 -8007952583978091/10000000000000000 x) (*.f64 -212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))))
(/.f64 -71124184/81897775 x)
(-.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 71124184/81897775 (/.f64 1 x)))
(-.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 71124184/81897775 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 99695994690000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))))
(/.f64 -71124184/81897775 x)
(-.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 71124184/81897775 (/.f64 1 x)))
(-.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 71124184/81897775 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 99695994690000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))))

Outputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (+.f64 (.f64 -40002364818879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (fma.f64 -40002364818879768868679/20000000000000000000000 (.f64 x x) (.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (fma.f64 564193179035109/500000000000000 x (.f64 x (.f64 x -40002364818879768868679/20000000000000000000000))))
(fma.f64 564193179035109/500000000000000 x (fma.f64 x (*.f64 x -40002364818879768868679/20000000000000000000000) 1/1000000000))
(+.f64 1/1000000000 (+.f64 (.f64 -40002364818879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 1881321463217960143956490654523/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (fma.f64 -40002364818879768868679/20000000000000000000000 (.f64 x x) (fma.f64 1881321463217960143956490654523/1000000000000000000000000000000 (pow.f64 x 3) (.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (fma.f64 -40002364818879768868679/20000000000000000000000 (.f64 x x) (fma.f64 564193179035109/500000000000000 x (.f64 1881321463217960143956490654523/1000000000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) (.f64 (.f64 x x) (+.f64 -40002364818879768868679/20000000000000000000000 (*.f64 x 1881321463217960143956490654523/1000000000000000000000000000000))))
(+.f64 1/1000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x (+.f64 -40002364818879768868679/20000000000000000000000 (*.f64 x 1881321463217960143956490654523/1000000000000000000000000000000))))))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 1 (.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 x x)) x)))
(fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1)
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 1 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))))
(fma.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) (.f64 x x)) (+.f64 1 (.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x x)) x))))
(-.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 -53932632800000/10731592879921 x)))
(fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) (-.f64 1 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (/.f64 -53932632800000/10731592879921 x)))))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (-.f64 -63707398/81897775 (/.f64 -53932632800000/10731592879921 x))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (.f64 -1 (/.f64 (-.f64 (.f64 1705910477000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))) (.f64 10000000/3275911 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (pow.f64 x 3))))))
(fma.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) (.f64 x x)) (+.f64 1 (fma.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (/.f64 (-.f64 (.f64 (exp.f64 (.f64 x x)) 1705910477000000000000/35155743162854883031) (.f64 (.f64 (exp.f64 (*.f64 x x)) -53932632800000/10731592879921) 10000000/3275911)) (pow.f64 x 3))))))
(-.f64 (-.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1) (/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) x) 1705910477000000000000/35155743162854883031) (.f64 (pow.f64 (exp.f64 x) x) -539326328000000000000/35155743162854883031)) (pow.f64 x 3))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 -53932632800000/10731592879921 x)))
(-.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1) (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) 2245236805000000000000/35155743162854883031) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (/.f64 -53932632800000/10731592879921 x)))))
(+.f64 1 (+.f64 (/.f64 (.f64 (pow.f64 (exp.f64 x) x) -2245236805000000000000/35155743162854883031) (pow.f64 x 3)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (-.f64 -63707398/81897775 (/.f64 -53932632800000/10731592879921 x)))))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 1 (.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 x x)) x)))
(fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1)
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 1 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))))
(fma.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) (.f64 x x)) (+.f64 1 (.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x x)) x))))
(-.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 -53932632800000/10731592879921 x)))
(fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) (-.f64 1 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (/.f64 -53932632800000/10731592879921 x)))))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (-.f64 -63707398/81897775 (/.f64 -53932632800000/10731592879921 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (.f64 -1705910477000000000000/35155743162854883031 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) (.f64 -10000000/3275911 (/.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 3))))
(fma.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) (.f64 x x)) (+.f64 1 (fma.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (/.f64 (-.f64 (.f64 (exp.f64 (.f64 x x)) 1705910477000000000000/35155743162854883031) (.f64 (.f64 (exp.f64 (*.f64 x x)) -53932632800000/10731592879921) 10000000/3275911)) (pow.f64 x 3))))))
(-.f64 (-.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1) (/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) x) 1705910477000000000000/35155743162854883031) (.f64 (pow.f64 (exp.f64 x) x) -539326328000000000000/35155743162854883031)) (pow.f64 x 3))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 -53932632800000/10731592879921 x)))
(-.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1) (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) 2245236805000000000000/35155743162854883031) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (/.f64 -53932632800000/10731592879921 x)))))
(+.f64 1 (+.f64 (/.f64 (.f64 (pow.f64 (exp.f64 x) x) -2245236805000000000000/35155743162854883031) (pow.f64 x 3)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (-.f64 -63707398/81897775 (/.f64 -53932632800000/10731592879921 x)))))
-195873299/500000000
(-.f64 (*.f64 -3477069720320819/10000000000000000 x) 195873299/500000000)
(fma.f64 -3477069720320819/10000000000000000 x -195873299/500000000)
(fma.f64 x -3477069720320819/10000000000000000 -195873299/500000000)
(-.f64 (+.f64 (.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (.f64 -3477069720320819/10000000000000000 x)) 195873299/500000000)
(+.f64 (.f64 (.f64 x x) 11390570944565894491109/100000000000000000000000) (fma.f64 -3477069720320819/10000000000000000 x -195873299/500000000))
(fma.f64 (*.f64 x x) 11390570944565894491109/100000000000000000000000 (fma.f64 x -3477069720320819/10000000000000000 -195873299/500000000))
(fma.f64 x (*.f64 x 11390570944565894491109/100000000000000000000000) (fma.f64 x -3477069720320819/10000000000000000 -195873299/500000000))
(fma.f64 x (+.f64 -3477069720320819/10000000000000000 (*.f64 x 11390570944565894491109/100000000000000000000000)) -195873299/500000000)
(-.f64 (+.f64 (.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -3477069720320819/10000000000000000 x) (*.f64 -37314496653583803988263375299/1000000000000000000000000000000 (pow.f64 x 3)))) 195873299/500000000)
(+.f64 (fma.f64 11390570944565894491109/100000000000000000000000 (.f64 x x) (fma.f64 -3477069720320819/10000000000000000 x (.f64 (pow.f64 x 3) -37314496653583803988263375299/1000000000000000000000000000000))) -195873299/500000000)
(+.f64 (fma.f64 (.f64 x x) 11390570944565894491109/100000000000000000000000 (fma.f64 x -3477069720320819/10000000000000000 (.f64 (pow.f64 x 3) -37314496653583803988263375299/1000000000000000000000000000000))) -195873299/500000000)
(fma.f64 x (*.f64 x 11390570944565894491109/100000000000000000000000) (fma.f64 (pow.f64 x 3) -37314496653583803988263375299/1000000000000000000000000000000 (fma.f64 x -3477069720320819/10000000000000000 -195873299/500000000)))
-1453152027/1000000000
(-.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/327591100 x) -1453152027/1000000000)
(-.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (+.f64 (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
(-.f64 (/.f64 1061405429/327591100 x) (+.f64 1453152027/1000000000 (/.f64 106140542900000/10731592879921 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1061405429/327591100 x) (/.f64 106140542900000/10731592879921 (*.f64 x x))) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/327591100 x) (+.f64 -1453152027/1000000000 (/.f64 -106140542900000/10731592879921 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
(-.f64 (+.f64 (/.f64 1061405429/327591100 x) (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3))) (+.f64 1453152027/1000000000 (/.f64 106140542900000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 1061405429/327591100 x) (-.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 1453152027/1000000000 (/.f64 106140542900000/10731592879921 (*.f64 x x)))))
(+.f64 (/.f64 1061405429/327591100 x) (+.f64 (+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -106140542900000/10731592879921 (*.f64 x x))) -1453152027/1000000000))
-1453152027/1000000000
(-.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/327591100 x) -1453152027/1000000000)
(-.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (+.f64 (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
(-.f64 (/.f64 1061405429/327591100 x) (+.f64 1453152027/1000000000 (/.f64 106140542900000/10731592879921 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1061405429/327591100 x) (/.f64 106140542900000/10731592879921 (*.f64 x x))) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/327591100 x) (+.f64 -1453152027/1000000000 (/.f64 -106140542900000/10731592879921 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
(-.f64 (+.f64 (/.f64 1061405429/327591100 x) (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3))) (+.f64 1453152027/1000000000 (/.f64 106140542900000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 1061405429/327591100 x) (-.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 1453152027/1000000000 (/.f64 106140542900000/10731592879921 (*.f64 x x)))))
(+.f64 (/.f64 1061405429/327591100 x) (+.f64 (+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -106140542900000/10731592879921 (*.f64 x x))) -1453152027/1000000000))
1029667143/1000000000
(+.f64 1029667143/1000000000 (*.f64 -2193742730720041/10000000000000000 x))
(+.f64 1029667143/1000000000 (*.f64 x -2193742730720041/10000000000000000))
(fma.f64 x -2193742730720041/10000000000000000 1029667143/1000000000)
(+.f64 1029667143/1000000000 (+.f64 (.f64 -2193742730720041/10000000000000000 x) (.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2))))
(+.f64 1029667143/1000000000 (fma.f64 -2193742730720041/10000000000000000 x (.f64 (.f64 x x) 928853844365085736173/5000000000000000000000)))
(+.f64 1029667143/1000000000 (fma.f64 x -2193742730720041/10000000000000000 (.f64 x (.f64 x 928853844365085736173/5000000000000000000000))))
(fma.f64 x (*.f64 x 928853844365085736173/5000000000000000000000) (fma.f64 x -2193742730720041/10000000000000000 1029667143/1000000000))
(fma.f64 x -2193742730720041/10000000000000000 (fma.f64 x (*.f64 x 928853844365085736173/5000000000000000000000) 1029667143/1000000000))
(+.f64 (.f64 -98171347176541251569707947359/1000000000000000000000000000000 (pow.f64 x 3)) (+.f64 1029667143/1000000000 (+.f64 (.f64 -2193742730720041/10000000000000000 x) (*.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2)))))
(fma.f64 -98171347176541251569707947359/1000000000000000000000000000000 (pow.f64 x 3) (+.f64 1029667143/1000000000 (fma.f64 -2193742730720041/10000000000000000 x (.f64 (.f64 x x) 928853844365085736173/5000000000000000000000))))
(+.f64 (fma.f64 x -2193742730720041/10000000000000000 (.f64 x (.f64 x 928853844365085736173/5000000000000000000000))) (fma.f64 (pow.f64 x 3) -98171347176541251569707947359/1000000000000000000000000000000 1029667143/1000000000))
(fma.f64 (pow.f64 x 3) -98171347176541251569707947359/1000000000000000000000000000000 (fma.f64 x (*.f64 x 928853844365085736173/5000000000000000000000) (fma.f64 x -2193742730720041/10000000000000000 1029667143/1000000000)))
(+.f64 1029667143/1000000000 (.f64 x (+.f64 -2193742730720041/10000000000000000 (.f64 x (+.f64 928853844365085736173/5000000000000000000000 (*.f64 x -98171347176541251569707947359/1000000000000000000000000000000))))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/327591100 x))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (.f64 1453152027/327591100 (/.f64 1 x)))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 1453152027/327591100 x)))
(+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (-.f64 1421413741/1000000000 (/.f64 1453152027/327591100 x)))
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(+.f64 (+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x)) (/.f64 251455745600000/10731592879921 (*.f64 x x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 3575962885000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1453152027/327591100 (/.f64 1 x))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 1453152027/327591100 x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 -1453152027/327591100 x) (/.f64 -3575962885000000000000/35155743162854883031 (pow.f64 x 3)))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/327591100 x))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (.f64 1453152027/327591100 (/.f64 1 x)))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 1453152027/327591100 x)))
(+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (-.f64 1421413741/1000000000 (/.f64 1453152027/327591100 x)))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 -1453152027/327591100 x)))
(+.f64 (+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x)) (/.f64 251455745600000/10731592879921 (*.f64 x x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 3575962885000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1453152027/327591100 (/.f64 1 x))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 1453152027/327591100 x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 -1453152027/327591100 x) (/.f64 -3575962885000000000000/35155743162854883031 (pow.f64 x 3)))))
745170407/1000000000
(+.f64 745170407/1000000000 (*.f64 -8007952583978091/10000000000000000 x))
(+.f64 745170407/1000000000 (*.f64 x -8007952583978091/10000000000000000))
(fma.f64 x -8007952583978091/10000000000000000 745170407/1000000000)
(+.f64 (.f64 12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 745170407/1000000000 (.f64 -8007952583978091/10000000000000000 x)))
(fma.f64 12609378273575437031483/20000000000000000000000 (.f64 x x) (+.f64 745170407/1000000000 (.f64 x -8007952583978091/10000000000000000)))
(fma.f64 (*.f64 x x) 12609378273575437031483/20000000000000000000000 (fma.f64 x -8007952583978091/10000000000000000 745170407/1000000000))
(fma.f64 x (*.f64 x 12609378273575437031483/20000000000000000000000) (fma.f64 x -8007952583978091/10000000000000000 745170407/1000000000))
(fma.f64 x -8007952583978091/10000000000000000 (fma.f64 (*.f64 x x) 12609378273575437031483/20000000000000000000000 745170407/1000000000))
(+.f64 (.f64 12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 745170407/1000000000 (+.f64 (.f64 -8007952583978091/10000000000000000 x) (*.f64 -212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))))
(fma.f64 12609378273575437031483/20000000000000000000000 (.f64 x x) (+.f64 745170407/1000000000 (fma.f64 -8007952583978091/10000000000000000 x (.f64 (pow.f64 x 3) -212652635069622415692337598339/500000000000000000000000000000))))
(+.f64 (fma.f64 (.f64 x x) 12609378273575437031483/20000000000000000000000 (fma.f64 x -8007952583978091/10000000000000000 745170407/1000000000)) (.f64 (pow.f64 x 3) -212652635069622415692337598339/500000000000000000000000000000))
(fma.f64 x (*.f64 x 12609378273575437031483/20000000000000000000000) (fma.f64 (pow.f64 x 3) -212652635069622415692337598339/500000000000000000000000000000 (fma.f64 x -8007952583978091/10000000000000000 745170407/1000000000)))
(fma.f64 x (*.f64 x 12609378273575437031483/20000000000000000000000) (fma.f64 x -8007952583978091/10000000000000000 (fma.f64 (pow.f64 x 3) -212652635069622415692337598339/500000000000000000000000000000 745170407/1000000000)))
(/.f64 -71124184/81897775 x)
(-.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 71124184/81897775 (/.f64 1 x)))
(-.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (/.f64 71124184/81897775 x))
(+.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (/.f64 -71124184/81897775 x))
(+.f64 (/.f64 (/.f64 170591047700000/10731592879921 x) x) (/.f64 -71124184/81897775 x))
(-.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 71124184/81897775 (/.f64 1 x))))
(-.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 71124184/81897775 x) (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 170591047700000/10731592879921 x) x) (+.f64 (/.f64 -71124184/81897775 x) (/.f64 -4580476245000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 -71124184/81897775 x) (/.f64 -4580476245000000000000/35155743162854883031 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 99695994690000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))))
(+.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (-.f64 (/.f64 99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (+.f64 (/.f64 71124184/81897775 x) (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 170591047700000/10731592879921 x) x) (+.f64 (/.f64 99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (+.f64 (/.f64 -71124184/81897775 x) (/.f64 -4580476245000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (/.f64 99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4))) (+.f64 (/.f64 -71124184/81897775 x) (/.f64 -4580476245000000000000/35155743162854883031 (pow.f64 x 3))))
(/.f64 -71124184/81897775 x)
(-.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 71124184/81897775 (/.f64 1 x)))
(-.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (/.f64 71124184/81897775 x))
(+.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (/.f64 -71124184/81897775 x))
(+.f64 (/.f64 (/.f64 170591047700000/10731592879921 x) x) (/.f64 -71124184/81897775 x))
(-.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 71124184/81897775 (/.f64 1 x))))
(-.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 71124184/81897775 x) (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 170591047700000/10731592879921 x) x) (+.f64 (/.f64 -71124184/81897775 x) (/.f64 -4580476245000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 -71124184/81897775 x) (/.f64 -4580476245000000000000/35155743162854883031 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 99695994690000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))))
(+.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (-.f64 (/.f64 99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (+.f64 (/.f64 71124184/81897775 x) (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 170591047700000/10731592879921 x) x) (+.f64 (/.f64 99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (+.f64 (/.f64 -71124184/81897775 x) (/.f64 -4580476245000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (/.f64 99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4))) (+.f64 (/.f64 -71124184/81897775 x) (/.f64 -4580476245000000000000/35155743162854883031 (pow.f64 x 3))))

localize131.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))
	0.7b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓	0.8b	(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
✓	9.5b	(log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))

Compiler

Compiled 288 to 230 computations (20.1% saved)

series9.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
2.0ms	x	@	-inf	(log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
1.0ms	x	@	inf	(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
1.0ms	x	@	-inf	(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
1.0ms	x	@	0	(log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))

rewrite114.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

734×	`prod-diff_binary64`
272×	`add-sqr-sqrt_binary64`
259×	`add-log-exp_binary64`
258×	`pow1_binary64`
258×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	118
1	545	117
2	7503	117

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs

(log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))

(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) 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1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) (sqrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))))))

simplify112.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

468×	`fma-def_binary64`
441×	`cancel-sign-sub-inv_binary64`
398×	`associate-/r*_binary64`
391×	`fma-neg_binary64`
387×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1197
1	385	1170
2	1288	1155
3	5189	1152

Stop Event

1×	node limit

Counts

66 → 75

Calls

Call 1

Inputs
(log.f64 1/1000000000)
(+.f64 (*.f64 564193179035109/500000 x) (log.f64 1/1000000000))
(+.f64 (.f64 -12732557730792067164649954543919/20000000000000 (pow.f64 x 2)) (+.f64 (.f64 564193179035109/500000 x) (log.f64 1/1000000000)))
(+.f64 (.f64 -12732557730792067164649954543919/20000000000000 (pow.f64 x 2)) (+.f64 (.f64 564193179035109/500000 x) (+.f64 (log.f64 1/1000000000) (*.f64 478908148225619802931243818060235820987102499623/1000000000000000000000 (pow.f64 x 3)))))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(-.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (-.f64 (.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (+.f64 (.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2)))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (-.f64 (+.f64 (.f64 8405481197754258143525806080/115167085740371102724966241 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (.f64 1638171132000000000000000000000/115167085740371102724966241 (/.f64 1 (exp.f64 (pow.f64 x 2))))) (+.f64 (.f64 98834989539163346500279941619296/44987142867332462001939937890625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 4))) (.f64 172221413519643684480000000000/115167085740371102724966241 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))))) (pow.f64 x 4))) (+.f64 (.f64 1/6 (/.f64 (-.f64 (.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (+.f64 (.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(-.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2)))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (-.f64 (+.f64 (.f64 8405481197754258143525806080/115167085740371102724966241 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (.f64 1638171132000000000000000000000/115167085740371102724966241 (/.f64 1 (exp.f64 (pow.f64 x 2))))) (+.f64 (.f64 98834989539163346500279941619296/44987142867332462001939937890625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 4))) (.f64 172221413519643684480000000000/115167085740371102724966241 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))))) (pow.f64 x 4))) (+.f64 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
1
(-.f64 1 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (.f64 2029316279965202/6707245549950625 (/.f64 1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2)))))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/6 (/.f64 (-.f64 (.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (+.f64 (.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))))) (pow.f64 x 3))) (+.f64 (.f64 -31853699/81897775 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (.f64 2029316279965202/6707245549950625 (/.f64 1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2)))))))) (+.f64 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))) (.f64 129282459915622549964396/1647925460758822642078125 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 3))))))
1
(-.f64 1 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (.f64 2029316279965202/6707245549950625 (/.f64 1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2)))))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 129282459915622549964396/1647925460758822642078125 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (+.f64 (.f64 1/6 (-.f64 (+.f64 (.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))))) (.f64 31853699/81897775 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (exp.f64 (pow.f64 x 2)))))) (pow.f64 x 3))) (.f64 2029316279965202/6707245549950625 (/.f64 1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))

Outputs
(log.f64 1/1000000000)
(+.f64 (*.f64 564193179035109/500000 x) (log.f64 1/1000000000))
(fma.f64 564193179035109/500000 x (log.f64 1/1000000000))
(+.f64 (.f64 -12732557730792067164649954543919/20000000000000 (pow.f64 x 2)) (+.f64 (.f64 564193179035109/500000 x) (log.f64 1/1000000000)))
(fma.f64 -12732557730792067164649954543919/20000000000000 (*.f64 x x) (fma.f64 564193179035109/500000 x (log.f64 1/1000000000)))
(fma.f64 564193179035109/500000 x (fma.f64 x (*.f64 x -12732557730792067164649954543919/20000000000000) (log.f64 1/1000000000)))
(fma.f64 x (*.f64 x -12732557730792067164649954543919/20000000000000) (fma.f64 564193179035109/500000 x (log.f64 1/1000000000)))
(+.f64 (.f64 -12732557730792067164649954543919/20000000000000 (pow.f64 x 2)) (+.f64 (.f64 564193179035109/500000 x) (+.f64 (log.f64 1/1000000000) (*.f64 478908148225619802931243818060235820987102499623/1000000000000000000000 (pow.f64 x 3)))))
(fma.f64 -12732557730792067164649954543919/20000000000000 (.f64 x x) (+.f64 (fma.f64 564193179035109/500000 x (log.f64 1/1000000000)) (.f64 478908148225619802931243818060235820987102499623/1000000000000000000000 (pow.f64 x 3))))
(fma.f64 -12732557730792067164649954543919/20000000000000 (*.f64 x x) (fma.f64 564193179035109/500000 x (fma.f64 478908148225619802931243818060235820987102499623/1000000000000000000000 (pow.f64 x 3) (log.f64 1/1000000000))))
(fma.f64 564193179035109/500000 x (fma.f64 -12732557730792067164649954543919/20000000000000 (*.f64 x x) (fma.f64 478908148225619802931243818060235820987102499623/1000000000000000000000 (pow.f64 x 3) (log.f64 1/1000000000))))
(fma.f64 564193179035109/500000 x (fma.f64 x (*.f64 x -12732557730792067164649954543919/20000000000000) (fma.f64 478908148225619802931243818060235820987102499623/1000000000000000000000 (pow.f64 x 3) (log.f64 1/1000000000))))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(/.f64 (/.f64 -63707398/81897775 (exp.f64 (*.f64 x x))) x)
(/.f64 -63707398/81897775 (.f64 x (exp.f64 (.f64 x x))))
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(+.f64 1 (-.f64 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (.f64 x x)) (fma.f64 -1 (/.f64 (+.f64 (/.f64 129282459915622549964396/1647925460758822642078125 (pow.f64 (exp.f64 (.f64 x x)) 3)) (fma.f64 1/6 (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (exp.f64 (.f64 x x))) (-.f64 (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (.f64 x x)) 3)) (/.f64 824617848714589056000/35155743162854883031 (pow.f64 (exp.f64 (.f64 x x)) 2)))) (.f64 31853699/81897775 (/.f64 (-.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (exp.f64 (.f64 x x)))))) (pow.f64 x 3)) (/.f64 2029316279965202/6707245549950625 (.f64 (.f64 x x) (pow.f64 (exp.f64 (.f64 x x)) 2))))) (/.f64 63707398/81897775 (.f64 x (exp.f64 (.f64 x x))))))
(+.f64 1 (+.f64 (-.f64 (/.f64 2029316279965202/6707245549950625 (.f64 x (.f64 x (pow.f64 (exp.f64 (.f64 x x)) 2)))) (/.f64 (+.f64 (/.f64 129282459915622549964396/1647925460758822642078125 (pow.f64 (exp.f64 (.f64 x x)) 3)) (fma.f64 1/6 (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (exp.f64 (.f64 x x))) (+.f64 (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (.f64 x x)) 3)) (/.f64 -824617848714589056000/35155743162854883031 (pow.f64 (exp.f64 (.f64 x x)) 2)))) (.f64 31853699/81897775 (-.f64 (/.f64 107865265600000/10731592879921 (pow.f64 (exp.f64 (.f64 x x)) 2)) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 3)))))) (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (.f64 x x)) (/.f64 -63707398/81897775 (.f64 x (exp.f64 (*.f64 x x)))))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (pow.f64 (exp.f64 x) (.f64 2 x)))) (.f64 x x)) (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x)))) (-.f64 (+.f64 1 (/.f64 (/.f64 2029316279965202/6707245549950625 (.f64 x x)) (pow.f64 (exp.f64 x) (.f64 2 x)))) (/.f64 (+.f64 (/.f64 129282459915622549964396/1647925460758822642078125 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (fma.f64 31853699/81897775 (-.f64 (/.f64 107865265600000/10731592879921 (pow.f64 (exp.f64 x) (.f64 2 x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (fma.f64 1/6 (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (/.f64 -137436308119098176000/35155743162854883031 (pow.f64 (exp.f64 x) (*.f64 2 x)))))) (pow.f64 x 3))))
(+.f64 (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (pow.f64 (exp.f64 2) (.f64 x x)))) (.f64 x x)) (+.f64 (-.f64 (/.f64 2029316279965202/6707245549950625 (.f64 x (.f64 x (pow.f64 (exp.f64 2) (.f64 x x))))) (/.f64 (+.f64 (fma.f64 1/6 (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (/.f64 -137436308119098176000/35155743162854883031 (pow.f64 (exp.f64 2) (.f64 x x)))) (fma.f64 31853699/81897775 (-.f64 (/.f64 107865265600000/10731592879921 (pow.f64 (exp.f64 2) (.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (/.f64 129282459915622549964396/1647925460758822642078125 (pow.f64 (pow.f64 (exp.f64 x) x) 3)))) (pow.f64 x 3))) (+.f64 1 (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x))))))

localize176.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))
	0.5b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	0.7b	(+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)
✓	11.5b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 419 to 310 computations (26% saved)

series38.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	x	@	-inf	(+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))
3.0ms	x	@	0	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
2.0ms	x	@	-inf	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
2.0ms	x	@	inf	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
1.0ms	x	@	inf	(+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))

rewrite87.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

324×	`add-sqr-sqrt_binary64`
307×	`*-un-lft-identity_binary64`
307×	`pow1_binary64`
305×	`add-log-exp_binary64`
304×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	109
1	674	91

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

Inputs

(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

(+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)

(+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 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3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 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simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

890×	`fma-neg_binary64`
888×	`fma-def_binary64`
348×	`times-frac_binary64`
329×	`associate-/r*_binary64`
238×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	80	1584
1	262	1452
2	594	1428
3	1824	1428
4	7173	1404

Stop Event

1×	node limit

Counts

126 → 100

Calls

Call 1

Inputs
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 31853699/125000000 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 31853699/125000000 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 31853699/125000000 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 31853699/125000000 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))

Outputs
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 31853699/125000000 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (+.f64 (/.f64 1061405429/1000000000 (*.f64 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (-.f64 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))))
(-.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (-.f64 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))))
(-.f64 1 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (+.f64 31853699/125000000 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 31853699/125000000 (+.f64 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 31853699/125000000 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (+.f64 (/.f64 1061405429/1000000000 (*.f64 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (-.f64 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))))
(-.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (-.f64 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))))
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(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))

localize221.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(pow.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 3)
✓	0.7b	(+.f64 -1453152027/1000000000 (cbrt.f64 (pow.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 3)))
✓	11.5b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (cbrt.f64 (pow.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 3))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
✓	23.8b	(cbrt.f64 (pow.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 3))

Compiler

Compiled 352 to 274 computations (22.2% saved)

series16.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (cbrt.f64 (pow.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 3))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
3.0ms	x	@	0	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (cbrt.f64 (pow.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 3))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
2.0ms	x	@	-inf	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (cbrt.f64 (pow.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 3))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
1.0ms	x	@	0	(cbrt.f64 (pow.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 3))
1.0ms	x	@	inf	(cbrt.f64 (pow.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 3))

rewrite89.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

317×	`add-sqr-sqrt_binary64`
301×	`add-log-exp_binary64`
300×	`pow1_binary64`
300×	`log1p-expm1-u_binary64`
300×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	97
1	657	89

Stop Event

1×	node limit

Counts

4 → 115

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 3))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (cbrt.f64 (pow.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 3))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 -1453152027/1000000000 (cbrt.f64 (pow.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 3)))
(pow.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 3)

Outputs
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((x fma.f64 1 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 2) (cbrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) -1453152027/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (sqrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) -1453152027/1000000000)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1195759704082789921366768589/1000000000000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1195759704082789921366768589/1000000000000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) (/.f64 1126581484710674041/1000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1195759704082789921366768589/1000000000000000000000000000 (pow.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1195759704082789921366768589/1000000000000000000000000000 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1126581484710674041/1000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 3/2) (pow.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 2) 3) (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 3) (pow.f64 (sqrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (.f64 (fma.f64 3275911/10000000 x 1) 1000000000/1061405429) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) 3) 1195759704082789921366768589/1000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1195759704082789921366768589/1000000000000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1126581484710674041/1000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (.f64 (fma.f64 3275911/10000000 x 1) 1000000000/1061405429))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1195759704082789921366768589/1000000000000000000000000000 (pow.f64 (neg.f64 (fma.f64 3275911/10000000 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1195759704082789921366768589/1000000000000000000000000000 (neg.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1195759704082789921366768589/1000000000000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1195759704082789921366768589/1000000000000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1195759704082789921366768589/1000000000000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1195759704082789921366768589/1000000000000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1195759704082789921366768589/1000000000000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 3 (log.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))) 1))))))

simplify107.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

886×	`fma-def_binary64`
834×	`associate--l+_binary64`
499×	`+-commutative_binary64`
481×	`associate-/r*_binary64`
309×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	2459
1	786	2402
2	2304	2110

Stop Event

1×	node limit

Counts

163 → 180

Calls

Call 1

Inputs
(cbrt.f64 1195759704082789921366768589/1000000000000000000000000000)
(+.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (.f64 -3275911/10000000 (.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) x)))
(+.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (+.f64 (.f64 10731592879921/100000000000000 (.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 x 2))) (.f64 -3275911/10000000 (.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) x))))
(+.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (+.f64 (.f64 10731592879921/100000000000000 (.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 x 2))) (+.f64 (.f64 -3275911/10000000 (.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) x)) (.f64 -35155743162854883031/1000000000000000000000 (.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 x 3))))))
(*.f64 10000000/3275911 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) x))
(+.f64 (.f64 -100000000000000/10731592879921 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 x 2))) (.f64 10000000/3275911 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) x)))
(+.f64 (.f64 -100000000000000/10731592879921 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 x 2))) (+.f64 (.f64 1000000000000000000000/35155743162854883031 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 x 3))) (*.f64 10000000/3275911 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) x))))
(+.f64 (.f64 -100000000000000/10731592879921 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 x 2))) (+.f64 (.f64 1000000000000000000000/35155743162854883031 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 x 3))) (+.f64 (.f64 -10000000000000000000000000000/115167085740371102724966241 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 x 4))) (.f64 10000000/3275911 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) x)))))
(*.f64 10000000/3275911 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) x))
(+.f64 (.f64 -100000000000000/10731592879921 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 x 2))) (.f64 10000000/3275911 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) x)))
(+.f64 (.f64 -100000000000000/10731592879921 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 x 2))) (+.f64 (.f64 1000000000000000000000/35155743162854883031 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 x 3))) (*.f64 10000000/3275911 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) x))))
(+.f64 (.f64 -100000000000000/10731592879921 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 x 2))) (+.f64 (.f64 1000000000000000000000/35155743162854883031 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 x 3))) (+.f64 (.f64 -10000000000000000000000000000/115167085740371102724966241 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 x 4))) (.f64 10000000/3275911 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4)) (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (+.f64 (.f64 3275911/10000000 (/.f64 (.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) x) (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4)) (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (+.f64 (.f64 3275911/10000000 (/.f64 (.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) x) (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (.f64 1421413741/1000000000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4)) (.f64 -10731592879921/100000000000000 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4)))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (pow.f64 x 2)) (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))))) (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4)) (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(-.f64 (+.f64 1 (+.f64 (.f64 (+.f64 (.f64 3275911/10000000 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (+.f64 (.f64 -3275911/10000000 (+.f64 (.f64 -10731592879921/100000000000000 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4)))) (.f64 -3275911/10000000 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))))) (pow.f64 x 3)) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (.f64 1421413741/1000000000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4)) (.f64 -10731592879921/100000000000000 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4)))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (pow.f64 x 2)) (+.f64 (.f64 3275911/10000000 (/.f64 (.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) x) (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))))) (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (/.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4)) (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4) (exp.f64 (pow.f64 x 2))))) (.f64 8890523/31250000 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2) (exp.f64 (pow.f64 x 2))))))) (+.f64 (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3) (exp.f64 (pow.f64 x 2))))) (.f64 31853699/125000000 (/.f64 1 (.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) (exp.f64 (pow.f64 x 2)))))))
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-1453152027/1000000000
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-1453152027/1000000000
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1195759704082789921366768589/1000000000000000000000000000
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(/.f64 1195759704082789921366768589/35155743162854883031000000 (pow.f64 x 3))
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Outputs
(cbrt.f64 1195759704082789921366768589/1000000000000000000000000000)
(+.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) (.f64 -3275911/10000000 (.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) x)))
(fma.f64 -3275911/10000000 (*.f64 (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000) x) (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000))
(.f64 (+.f64 (.f64 -3275911/10000000 x) 1) (cbrt.f64 1195759704082789921366768589/1000000000000000000000000000))
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(-.f64 (/.f64 1195759704082789921366768589/35155743162854883031000000 (pow.f64 x 3)) (/.f64 35872791122483697641003057670/115167085740371102724966241 (pow.f64 x 4)))
(+.f64 (/.f64 1195759704082789921366768589/35155743162854883031000000 (pow.f64 x 3)) (/.f64 -35872791122483697641003057670/115167085740371102724966241 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 717455822449673952820061153400000000/377277123014824839498846883520551 (/.f64 1 (pow.f64 x 5))) (.f64 1195759704082789921366768589/35155743162854883031000000 (/.f64 1 (pow.f64 x 3)))) (*.f64 35872791122483697641003057670/115167085740371102724966241 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 717455822449673952820061153400000000/377277123014824839498846883520551 (pow.f64 x 5)) (-.f64 (/.f64 1195759704082789921366768589/35155743162854883031000000 (pow.f64 x 3)) (/.f64 35872791122483697641003057670/115167085740371102724966241 (pow.f64 x 4))))
(+.f64 (/.f64 1195759704082789921366768589/35155743162854883031000000 (pow.f64 x 3)) (+.f64 (/.f64 717455822449673952820061153400000000/377277123014824839498846883520551 (pow.f64 x 5)) (/.f64 -35872791122483697641003057670/115167085740371102724966241 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 717455822449673952820061153400000000/377277123014824839498846883520551 (/.f64 1 (pow.f64 x 5))) (.f64 1195759704082789921366768589/35155743162854883031000000 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 35872791122483697641003057670/115167085740371102724966241 (/.f64 1 (pow.f64 x 4))) (.f64 11957597040827899213667685890000000000000000/1235926277332617854787506993040691746961 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 (/.f64 717455822449673952820061153400000000/377277123014824839498846883520551 (pow.f64 x 5)) (-.f64 (/.f64 1195759704082789921366768589/35155743162854883031000000 (pow.f64 x 3)) (/.f64 35872791122483697641003057670/115167085740371102724966241 (pow.f64 x 4)))) (/.f64 11957597040827899213667685890000000000000000/1235926277332617854787506993040691746961 (pow.f64 x 6)))
(+.f64 (/.f64 717455822449673952820061153400000000/377277123014824839498846883520551 (pow.f64 x 5)) (-.f64 (/.f64 1195759704082789921366768589/35155743162854883031000000 (pow.f64 x 3)) (+.f64 (/.f64 35872791122483697641003057670/115167085740371102724966241 (pow.f64 x 4)) (/.f64 11957597040827899213667685890000000000000000/1235926277332617854787506993040691746961 (pow.f64 x 6)))))
(+.f64 (/.f64 1195759704082789921366768589/35155743162854883031000000 (pow.f64 x 3)) (-.f64 (/.f64 717455822449673952820061153400000000/377277123014824839498846883520551 (pow.f64 x 5)) (+.f64 (/.f64 35872791122483697641003057670/115167085740371102724966241 (pow.f64 x 4)) (/.f64 11957597040827899213667685890000000000000000/1235926277332617854787506993040691746961 (pow.f64 x 6)))))

eval1.5s (8.3%)

Compiler: Compiled 47555 to 36714 computations (22.8% saved)

prune333.0ms (1.8%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	805	11	816
Fresh	11	2	13
Picked	1	0	1
Done	2	3	5
Total	819	16	835

Error

0.5b

Counts

835 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	12.5b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
	12.5b	(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
✓	11.5b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	34.0b	1/1000000000
▶	11.5b	(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
▶	12.8b	(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
	25.1b	1
▶	37.2b	(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
▶	37.2b	(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
	12.8b	(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
	37.4b	(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
✓	11.5b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
▶	36.6b	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
	34.8b	(exp.f64 (log.f64 1/1000000000))
✓	11.5b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	13.7b	(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))

Compiler

Compiled 959 to 786 computations (18% saved)

localize342.0ms (1.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))
✓	0.3b	(/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))
	0.7b	(+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)
✓	11.5b	(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))

Compiler

Compiled 289 to 211 computations (27% saved)

series110.0ms (0.6%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
75.0ms	x	@	inf	(/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))
13.0ms	x	@	0	(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
8.0ms	x	@	-inf	(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
8.0ms	x	@	inf	(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
1.0ms	x	@	0	(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))

rewrite774.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

315×	`add-sqr-sqrt_binary64`
300×	`add-log-exp_binary64`
299×	`log1p-expm1-u_binary64`
299×	`expm1-log1p-u_binary64`
297×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	96
1	650	80

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

Inputs

(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))

(/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))

(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (+.f64 (neg.f64 (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (fma.f64 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 x 3275911/10000000 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1))))) -31853699/125000000) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (fma.f64 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 x 3275911/10000000 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1))))) -31853699/125000000) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (fma.f64 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 x 3275911/10000000 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1))))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (fma.f64 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 x 3275911/10000000 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1))))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (fma.f64 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (+.f64 (/.f64 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simplify714.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

515×	`associate--l+_binary64`
462×	`fma-def_binary64`
443×	`associate-+r+_binary64`
362×	`associate-/r*_binary64`
347×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	185	2567
1	695	2259
2	2100	1949

Stop Event

1×	node limit

Counts

106 → 87

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (+.f64 (.f64 8890523/31250000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 1453152027/1000000000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4)))) (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(-.f64 (+.f64 1 (+.f64 (.f64 8890523/31250000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (.f64 1421413741/1000000000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1061405429/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (pow.f64 x 2)) (.f64 1453152027/1000000000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))))))) (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4)))) (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
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(/.f64 1421413741/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))

Outputs
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(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1421413741/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
✓	0.2b	(*.f64 564193179035109/500000000000000 x)

Compiler

Compiled 12 to 9 computations (25% saved)

series5.0ms (0%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 564193179035109/500000000000000 x)
1.0ms	x	@	inf	(*.f64 564193179035109/500000000000000 x)
1.0ms	x	@	0	(*.f64 564193179035109/500000000000000 x)
1.0ms	x	@	inf	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
0.0ms	x	@	0	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
618×	`add-log-exp_binary64`
618×	`log1p-expm1-u_binary64`
618×	`expm1-log1p-u_binary64`
609×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	132	9
2	1606	9

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 564193179035109/500000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 564193179035109/500000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 564193179035109/500000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 564193179035109/500000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 564193179035109/500000000000000 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/1000000000000000000 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))) (/.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2) (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2) (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) (sqrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2) (*.f64 564193179035109/500000000000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/1000000000000000000 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)) (/.f64 1 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2) (*.f64 564193179035109/500000000000000000000000 x))) (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x)) (-.f64 1/1000000000000000000 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2) (*.f64 564193179035109/500000000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/1000000000000000000 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)) (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000))) (neg.f64 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2) (*.f64 564193179035109/500000000000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/1000000000000000000 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))) (neg.f64 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2) 1/1000000000000000000) (-.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 564193179035109/500000000000000 x 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 564193179035109/500000000000000 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 564193179035109/500000000000000 x) 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 564193179035109/500000000000000 x)) 2) (cbrt.f64 (*.f64 564193179035109/500000000000000 x)) 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 564193179035109/500000000000000 x)) (sqrt.f64 (*.f64 564193179035109/500000000000000 x)) 1/1000000000)))))

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	6	9

Stop Event

1×

saturated

Counts

46 → 45

Calls

Call 1

Inputs
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)

Outputs
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)

localize97.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))
✓	0.1b	(fma.f64 x 564193179035109/500000000000000 1/1000000000)
✓	0.1b	(.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))
✓	0.4b	(*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)

Compiler

Compiled 44 to 29 computations (34.1% saved)

series10.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))
1.0ms	x	@	0	(.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))
1.0ms	x	@	-inf	(.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))
1.0ms	x	@	inf	(*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)
1.0ms	x	@	-inf	(*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)

rewrite160.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

498×	`log-prod_binary64`
379×	`exp-prod_binary64`
315×	`pow-prod-down_binary64`
293×	`prod-diff_binary64`
291×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	243	25
2	2981	25

Stop Event

1×	node limit

Counts

4 → 169

Calls

Call 1

Inputs
(*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)
(.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))

Outputs
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simplify230.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
501×	`*-commutative_binary64`
490×	`fma-def_binary64`
489×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	321
1	40	303
2	74	276
3	161	276
4	399	276
5	1639	276
6	3408	276
7	3764	276
8	4014	276
9	4301	276
10	4680	276
11	5234	276
12	5856	276
13	6564	276
14	7035	276
15	7354	276
16	7624	276
17	7792	276
18	7884	276

Stop Event

1×	node limit

Counts

217 → 182

Calls

Call 1

Inputs
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
-2364858879768868679/20000000000000000000000
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)

Outputs
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2))
(.f64 -2364858879768868679/20000000000000000000000 (.f64 x x))
(.f64 x (.f64 x -2364858879768868679/20000000000000000000000))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x (.f64 x -2364858879768868679/20000000000000000000000)))
(.f64 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x (.f64 x -2364858879768868679/20000000000000000000000)))
(.f64 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x (.f64 x -2364858879768868679/20000000000000000000000)))
(.f64 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000))
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x (.f64 x -2364858879768868679/20000000000000000000000)))
(.f64 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x (.f64 x -2364858879768868679/20000000000000000000000)))
(.f64 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x (.f64 x -2364858879768868679/20000000000000000000000)))
(.f64 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000))
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x (.f64 x -2364858879768868679/20000000000000000000000)))
(.f64 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x (.f64 x -2364858879768868679/20000000000000000000000)))
(.f64 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x (.f64 x -2364858879768868679/20000000000000000000000)))
(.f64 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000))
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(*.f64 564193179035109/500000000000000 x)
(*.f64 x 564193179035109/500000000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(*.f64 564193179035109/500000000000000 x)
(*.f64 x 564193179035109/500000000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
-2364858879768868679/20000000000000000000000
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))
✓	0.2b	(*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2))
	0.2b	(*.f64 564193179035109/500000000000000 x)
✓	8.4b	(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x)))

Compiler

Compiled 68 to 54 computations (20.6% saved)

series7.0ms (0%)

Counts

3 → 6

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))
1.0ms	x	@	inf	(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x)))
1.0ms	x	@	inf	(*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2))
1.0ms	x	@	0	(*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2))
1.0ms	x	@	0	(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x)))

rewrite168.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`fma-def_binary64`
619×	`log-prod_binary64`
360×	`pow2_binary64`
326×	`fma-neg_binary64`
249×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	318	32
2	3908	32

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

Inputs

(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x)))

(*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2))

(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (*.f64 x 564193179035109/500000000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) 5592557521221668486227460727547205041/400000000000000000000000000000000000000000000) (-.f64 (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x)) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (*.f64 x 564193179035109/500000000000000)))) (/.f64 (pow.f64 (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (*.f64 x 564193179035109/500000000000000)) 2) (-.f64 (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x)) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (*.f64 x 564193179035109/500000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (*.f64 x 564193179035109/500000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (*.f64 x 564193179035109/500000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (*.f64 x 564193179035109/500000000000000)))) (pow.f64 (cbrt.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (*.f64 x 564193179035109/500000000000000)))) 2))))) (#(struct:change #<rule 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simplify174.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

649×	`sqr-pow_binary64`
620×	`fma-def_binary64`
536×	`unswap-sqr_binary64`
535×	`*-commutative_binary64`
466×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	57
1	33	57
2	68	54
3	173	48
4	472	48
5	1753	48
6	3678	48
7	4054	48
8	4305	48
9	4592	48
10	4971	48
11	5531	48
12	6162	48
13	6872	48
14	7345	48
15	7666	48
16	7936	48

Stop Event

1×	node limit

Counts

130 → 130

Calls

Call 1

Inputs
(*.f64 564193179035109/500000000000000 x)
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x))
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))

Outputs
(*.f64 564193179035109/500000000000000 x)
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x))
(fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x (.f64 -2364858879768868679/20000000000000000000000 (.f64 x x)))
(.f64 x (+.f64 564193179035109/500000000000000 (.f64 x -2364858879768868679/20000000000000000000000)))
(*.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000))
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000) -2364858879768868679/20000000000000000000000))
(.f64 (.f64 x x) (fma.f64 x -375451252922475856043509345477/1000000000000000000000000000000 -2364858879768868679/20000000000000000000000))
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000) -2364858879768868679/20000000000000000000000))
(.f64 (.f64 x x) (fma.f64 x -375451252922475856043509345477/1000000000000000000000000000000 -2364858879768868679/20000000000000000000000))

localize125.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))
✓	0.4b	(+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1)))
✓	0.7b	(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000)
✓	11.5b	(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)

Compiler

Compiled 237 to 194 computations (18.1% saved)

series6.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
1.0ms	x	@	0	(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
1.0ms	x	@	-inf	(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
1.0ms	x	@	inf	(/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))
0.0ms	x	@	0	(/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))

rewrite193.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

514×	`prod-diff_binary64`
267×	`add-sqr-sqrt_binary64`
253×	`add-log-exp_binary64`
252×	`log1p-expm1-u_binary64`
252×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	129
1	533	127
2	7385	127

Stop Event

1×	node limit

Counts

4 → 183

Calls

Call 1

Inputs
(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000)
(+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1)))
(/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 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(+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x) 1)) 2) (cbrt.f64 (fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) 3) 1) (+.f64 (.f64 (.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) (.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 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simplify84.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

890×	`fma-neg_binary64`
427×	`associate-/r*_binary64`
384×	`fma-def_binary64`
373×	`associate-l_binary64`
288×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	122	710
1	312	698
2	804	643
3	2296	624
4	6435	616

Stop Event

1×	node limit

Counts

231 → 239

Calls

Call 1

Inputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
1
(+.f64 1 (.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) x)))
(+.f64 1 (+.f64 (.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) x))))
(+.f64 1 (+.f64 (.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) x)) (.f64 -2245236805000000000000/35155743162854883031 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) (pow.f64 x 3))))))
1
(+.f64 1 (.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) x)))
(+.f64 1 (+.f64 (.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) x))))
(+.f64 1 (+.f64 (.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) x)) (.f64 -2245236805000000000000/35155743162854883031 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) (pow.f64 x 3))))))
-195873299/500000000
(-.f64 (*.f64 -3477069720320819/10000000000000000 x) 195873299/500000000)
(-.f64 (+.f64 (.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (.f64 -3477069720320819/10000000000000000 x)) 195873299/500000000)
(-.f64 (+.f64 (.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -3477069720320819/10000000000000000 x) (*.f64 -37314496653583803988263375299/1000000000000000000000000000000 (pow.f64 x 3)))) 195873299/500000000)
-1453152027/1000000000
(-.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) 1453152027/1000000000)
(-.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (+.f64 (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
(-.f64 (+.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
-1453152027/1000000000
(-.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) 1453152027/1000000000)
(-.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (+.f64 (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
(-.f64 (+.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
1029667143/1000000000
(+.f64 1029667143/1000000000 (*.f64 -2193742730720041/10000000000000000 x))
(+.f64 1029667143/1000000000 (+.f64 (.f64 -2193742730720041/10000000000000000 x) (.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2))))
(+.f64 (.f64 -98171347176541251569707947359/1000000000000000000000000000000 (pow.f64 x 3)) (+.f64 1029667143/1000000000 (+.f64 (.f64 -2193742730720041/10000000000000000 x) (*.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2)))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 3575962885000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1453152027/327591100 (/.f64 1 x))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 3575962885000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1453152027/327591100 (/.f64 1 x))))
-745170407/1000000000
(-.f64 (*.f64 8007952583978091/10000000000000000 x) 745170407/1000000000)
(-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000)
(-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 8007952583978091/10000000000000000 x) (*.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) 745170407/1000000000)
(/.f64 71124184/81897775 x)
(-.f64 (.f64 71124184/81897775 (/.f64 1 x)) (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (*.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (+.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 99695994690000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
(/.f64 71124184/81897775 x)
(-.f64 (.f64 71124184/81897775 (/.f64 1 x)) (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (*.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (+.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 99695994690000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))

Outputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (fma.f64 564193179035109/500000000000000 x (.f64 -2364858879768868679/20000000000000000000000 (.f64 x x))))
(fma.f64 564193179035109/500000000000000 x (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) 1/1000000000))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 564193179035109/500000000000000 x (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(+.f64 1/1000000000 (.f64 x (+.f64 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) 564193179035109/500000000000000)))
1
(+.f64 1 (.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) x)))
(+.f64 1 (.f64 -63707398/81897775 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) x)))
(fma.f64 -63707398/81897775 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) x) 1)
(fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) 1)
(+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (+.f64 (.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) x))))
(+.f64 1 (fma.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (.f64 x x)) (.f64 -63707398/81897775 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) x))))
(+.f64 1 (fma.f64 -63707398/81897775 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) x) (.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (.f64 x x)))))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 -63707398/81897775 (/.f64 53932632800000/10731592879921 x))))
(+.f64 1 (/.f64 (+.f64 -63707398/81897775 (/.f64 53932632800000/10731592879921 x)) (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1 (+.f64 (.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) x)) (.f64 -2245236805000000000000/35155743162854883031 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) (pow.f64 x 3))))))
(+.f64 1 (fma.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (.f64 x x)) (fma.f64 -63707398/81897775 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) x) (/.f64 (.f64 -2245236805000000000000/35155743162854883031 (exp.f64 (neg.f64 (*.f64 x x)))) (pow.f64 x 3)))))
(+.f64 1 (fma.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (.f64 x x)) (fma.f64 -63707398/81897775 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) x) (/.f64 (.f64 (exp.f64 (neg.f64 (*.f64 x x))) -2245236805000000000000/35155743162854883031) (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 (/.f64 -63707398/81897775 (pow.f64 (exp.f64 x) x)) x) (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (.f64 x x)) (+.f64 53932632800000/10731592879921 (/.f64 -2245236805000000000000/35155743162854883031 x)))))
(+.f64 1 (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 -63707398/81897775 (+.f64 (/.f64 53932632800000/10731592879921 x) (/.f64 -2245236805000000000000/35155743162854883031 (.f64 x x))))))
1
(+.f64 1 (.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) x)))
(+.f64 1 (.f64 -63707398/81897775 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) x)))
(fma.f64 -63707398/81897775 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) x) 1)
(fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) 1)
(+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (+.f64 (.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) x))))
(+.f64 1 (fma.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (.f64 x x)) (.f64 -63707398/81897775 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) x))))
(+.f64 1 (fma.f64 -63707398/81897775 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) x) (.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (.f64 x x)))))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 -63707398/81897775 (/.f64 53932632800000/10731592879921 x))))
(+.f64 1 (/.f64 (+.f64 -63707398/81897775 (/.f64 53932632800000/10731592879921 x)) (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1 (+.f64 (.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) x)) (.f64 -2245236805000000000000/35155743162854883031 (/.f64 (exp.f64 (.f64 -1 (pow.f64 x 2))) (pow.f64 x 3))))))
(+.f64 1 (fma.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (.f64 x x)) (fma.f64 -63707398/81897775 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) x) (/.f64 (.f64 -2245236805000000000000/35155743162854883031 (exp.f64 (neg.f64 (*.f64 x x)))) (pow.f64 x 3)))))
(+.f64 1 (fma.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (.f64 x x)) (fma.f64 -63707398/81897775 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) x) (/.f64 (.f64 (exp.f64 (neg.f64 (*.f64 x x))) -2245236805000000000000/35155743162854883031) (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 (/.f64 -63707398/81897775 (pow.f64 (exp.f64 x) x)) x) (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (.f64 x x)) (+.f64 53932632800000/10731592879921 (/.f64 -2245236805000000000000/35155743162854883031 x)))))
(+.f64 1 (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 -63707398/81897775 (+.f64 (/.f64 53932632800000/10731592879921 x) (/.f64 -2245236805000000000000/35155743162854883031 (.f64 x x))))))
-195873299/500000000
(-.f64 (*.f64 -3477069720320819/10000000000000000 x) 195873299/500000000)
(fma.f64 -3477069720320819/10000000000000000 x -195873299/500000000)
(fma.f64 x -3477069720320819/10000000000000000 -195873299/500000000)
(-.f64 (+.f64 (.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (.f64 -3477069720320819/10000000000000000 x)) 195873299/500000000)
(+.f64 (.f64 (.f64 x x) 11390570944565894491109/100000000000000000000000) (fma.f64 -3477069720320819/10000000000000000 x -195873299/500000000))
(fma.f64 (*.f64 x x) 11390570944565894491109/100000000000000000000000 (fma.f64 x -3477069720320819/10000000000000000 -195873299/500000000))
(fma.f64 x -3477069720320819/10000000000000000 (fma.f64 x (*.f64 x 11390570944565894491109/100000000000000000000000) -195873299/500000000))
(fma.f64 x (+.f64 -3477069720320819/10000000000000000 (*.f64 x 11390570944565894491109/100000000000000000000000)) -195873299/500000000)
(-.f64 (+.f64 (.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -3477069720320819/10000000000000000 x) (*.f64 -37314496653583803988263375299/1000000000000000000000000000000 (pow.f64 x 3)))) 195873299/500000000)
(+.f64 (fma.f64 11390570944565894491109/100000000000000000000000 (.f64 x x) (fma.f64 -3477069720320819/10000000000000000 x (.f64 (pow.f64 x 3) -37314496653583803988263375299/1000000000000000000000000000000))) -195873299/500000000)
(+.f64 (fma.f64 (.f64 x x) 11390570944565894491109/100000000000000000000000 (fma.f64 x -3477069720320819/10000000000000000 (.f64 (pow.f64 x 3) -37314496653583803988263375299/1000000000000000000000000000000))) -195873299/500000000)
(fma.f64 x (*.f64 x 11390570944565894491109/100000000000000000000000) (fma.f64 x -3477069720320819/10000000000000000 (fma.f64 (pow.f64 x 3) -37314496653583803988263375299/1000000000000000000000000000000 -195873299/500000000)))
(+.f64 (.f64 x (+.f64 -3477069720320819/10000000000000000 (.f64 x (+.f64 11390570944565894491109/100000000000000000000000 (*.f64 x -37314496653583803988263375299/1000000000000000000000000000000))))) -195873299/500000000)
(fma.f64 x (+.f64 -3477069720320819/10000000000000000 (.f64 x (+.f64 11390570944565894491109/100000000000000000000000 (.f64 x -37314496653583803988263375299/1000000000000000000000000000000)))) -195873299/500000000)
-1453152027/1000000000
(-.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/327591100 x) -1453152027/1000000000)
(-.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (+.f64 (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
(-.f64 (/.f64 1061405429/327591100 x) (+.f64 1453152027/1000000000 (/.f64 106140542900000/10731592879921 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1061405429/327591100 x) (/.f64 106140542900000/10731592879921 (*.f64 x x))) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/327591100 x) (+.f64 -1453152027/1000000000 (/.f64 -106140542900000/10731592879921 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
(+.f64 (/.f64 1061405429/327591100 x) (-.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 1453152027/1000000000 (/.f64 106140542900000/10731592879921 (*.f64 x x)))))
(+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 1061405429/327591100 x) (/.f64 106140542900000/10731592879921 (*.f64 x x))) -1453152027/1000000000))
(+.f64 (+.f64 (/.f64 1061405429/327591100 x) (+.f64 -1453152027/1000000000 (/.f64 -106140542900000/10731592879921 (*.f64 x x)))) (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1061405429/327591100 x) -1453152027/1000000000) (+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -106140542900000/10731592879921 (*.f64 x x))))
-1453152027/1000000000
(-.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/327591100 x) -1453152027/1000000000)
(-.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (+.f64 (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
(-.f64 (/.f64 1061405429/327591100 x) (+.f64 1453152027/1000000000 (/.f64 106140542900000/10731592879921 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1061405429/327591100 x) (/.f64 106140542900000/10731592879921 (*.f64 x x))) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/327591100 x) (+.f64 -1453152027/1000000000 (/.f64 -106140542900000/10731592879921 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
(+.f64 (/.f64 1061405429/327591100 x) (-.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 1453152027/1000000000 (/.f64 106140542900000/10731592879921 (*.f64 x x)))))
(+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 1061405429/327591100 x) (/.f64 106140542900000/10731592879921 (*.f64 x x))) -1453152027/1000000000))
(+.f64 (+.f64 (/.f64 1061405429/327591100 x) (+.f64 -1453152027/1000000000 (/.f64 -106140542900000/10731592879921 (*.f64 x x)))) (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1061405429/327591100 x) -1453152027/1000000000) (+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -106140542900000/10731592879921 (*.f64 x x))))
1029667143/1000000000
(+.f64 1029667143/1000000000 (*.f64 -2193742730720041/10000000000000000 x))
(+.f64 1029667143/1000000000 (*.f64 x -2193742730720041/10000000000000000))
(fma.f64 x -2193742730720041/10000000000000000 1029667143/1000000000)
(+.f64 1029667143/1000000000 (+.f64 (.f64 -2193742730720041/10000000000000000 x) (.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2))))
(+.f64 1029667143/1000000000 (fma.f64 -2193742730720041/10000000000000000 x (.f64 (.f64 x x) 928853844365085736173/5000000000000000000000)))
(+.f64 1029667143/1000000000 (fma.f64 x -2193742730720041/10000000000000000 (.f64 (.f64 928853844365085736173/5000000000000000000000 x) x)))
(fma.f64 x -2193742730720041/10000000000000000 (fma.f64 x (*.f64 x 928853844365085736173/5000000000000000000000) 1029667143/1000000000))
(+.f64 (.f64 -98171347176541251569707947359/1000000000000000000000000000000 (pow.f64 x 3)) (+.f64 1029667143/1000000000 (+.f64 (.f64 -2193742730720041/10000000000000000 x) (*.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2)))))
(fma.f64 -98171347176541251569707947359/1000000000000000000000000000000 (pow.f64 x 3) (+.f64 1029667143/1000000000 (fma.f64 -2193742730720041/10000000000000000 x (.f64 (.f64 x x) 928853844365085736173/5000000000000000000000))))
(+.f64 (fma.f64 x -2193742730720041/10000000000000000 (.f64 (.f64 928853844365085736173/5000000000000000000000 x) x)) (fma.f64 (pow.f64 x 3) -98171347176541251569707947359/1000000000000000000000000000000 1029667143/1000000000))
(fma.f64 (pow.f64 x 3) -98171347176541251569707947359/1000000000000000000000000000000 (fma.f64 x -2193742730720041/10000000000000000 (fma.f64 x (*.f64 x 928853844365085736173/5000000000000000000000) 1029667143/1000000000)))
(+.f64 1029667143/1000000000 (.f64 x (+.f64 -2193742730720041/10000000000000000 (.f64 x (+.f64 928853844365085736173/5000000000000000000000 (*.f64 x -98171347176541251569707947359/1000000000000000000000000000000))))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/327591100 x))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (.f64 1453152027/327591100 (/.f64 1 x)))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 1453152027/327591100 x)))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 -1453152027/327591100 x)))
(-.f64 1421413741/1000000000 (-.f64 (/.f64 1453152027/327591100 x) (/.f64 251455745600000/10731592879921 (*.f64 x x))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 3575962885000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1453152027/327591100 (/.f64 1 x))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 1453152027/327591100 x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 (-.f64 (+.f64 1421413741/1000000000 (/.f64 251455745600000/10731592879921 (*.f64 x x))) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 -1453152027/327591100 x))
(+.f64 (+.f64 1421413741/1000000000 (/.f64 251455745600000/10731592879921 (*.f64 x x))) (+.f64 (/.f64 -1453152027/327591100 x) (/.f64 -3575962885000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 -3575962885000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 1453152027/327591100 x) (/.f64 251455745600000/10731592879921 (*.f64 x x)))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/327591100 x))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (.f64 1453152027/327591100 (/.f64 1 x)))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 1453152027/327591100 x)))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 -1453152027/327591100 x)))
(-.f64 1421413741/1000000000 (-.f64 (/.f64 1453152027/327591100 x) (/.f64 251455745600000/10731592879921 (*.f64 x x))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 3575962885000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1453152027/327591100 (/.f64 1 x))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 1453152027/327591100 x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 (-.f64 (+.f64 1421413741/1000000000 (/.f64 251455745600000/10731592879921 (*.f64 x x))) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 -1453152027/327591100 x))
(+.f64 (+.f64 1421413741/1000000000 (/.f64 251455745600000/10731592879921 (*.f64 x x))) (+.f64 (/.f64 -1453152027/327591100 x) (/.f64 -3575962885000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 -3575962885000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 1453152027/327591100 x) (/.f64 251455745600000/10731592879921 (*.f64 x x)))))
-745170407/1000000000
(-.f64 (*.f64 8007952583978091/10000000000000000 x) 745170407/1000000000)
(fma.f64 8007952583978091/10000000000000000 x -745170407/1000000000)
(fma.f64 x 8007952583978091/10000000000000000 -745170407/1000000000)
(-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000)
(+.f64 (.f64 (.f64 x x) -12609378273575437031483/20000000000000000000000) (fma.f64 8007952583978091/10000000000000000 x -745170407/1000000000))
(fma.f64 (*.f64 x x) -12609378273575437031483/20000000000000000000000 (fma.f64 x 8007952583978091/10000000000000000 -745170407/1000000000))
(fma.f64 x 8007952583978091/10000000000000000 (fma.f64 (*.f64 x x) -12609378273575437031483/20000000000000000000000 -745170407/1000000000))
(fma.f64 x (+.f64 8007952583978091/10000000000000000 (*.f64 x -12609378273575437031483/20000000000000000000000)) -745170407/1000000000)
(-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 8007952583978091/10000000000000000 x) (*.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) 745170407/1000000000)
(+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (fma.f64 8007952583978091/10000000000000000 x (.f64 (pow.f64 x 3) 212652635069622415692337598339/500000000000000000000000000000))) -745170407/1000000000)
(+.f64 (fma.f64 (.f64 x x) -12609378273575437031483/20000000000000000000000 (fma.f64 x 8007952583978091/10000000000000000 (.f64 (pow.f64 x 3) 212652635069622415692337598339/500000000000000000000000000000))) -745170407/1000000000)
(fma.f64 x (*.f64 x -12609378273575437031483/20000000000000000000000) (fma.f64 x 8007952583978091/10000000000000000 (fma.f64 (pow.f64 x 3) 212652635069622415692337598339/500000000000000000000000000000 -745170407/1000000000)))
(+.f64 (.f64 x (+.f64 8007952583978091/10000000000000000 (.f64 x (+.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x 212652635069622415692337598339/500000000000000000000000000000))))) -745170407/1000000000)
(fma.f64 x (+.f64 8007952583978091/10000000000000000 (.f64 x (+.f64 -12609378273575437031483/20000000000000000000000 (.f64 x 212652635069622415692337598339/500000000000000000000000000000)))) -745170407/1000000000)
(/.f64 71124184/81897775 x)
(-.f64 (.f64 71124184/81897775 (/.f64 1 x)) (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 71124184/81897775 x) (/.f64 170591047700000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 71124184/81897775 x) (/.f64 -170591047700000/10731592879921 (*.f64 x x)))
(-.f64 (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (*.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 71124184/81897775 x) (/.f64 170591047700000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 71124184/81897775 x) (-.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 170591047700000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -170591047700000/10731592879921 (*.f64 x x))))
(-.f64 (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (+.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 99695994690000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (/.f64 99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 71124184/81897775 x) (/.f64 -170591047700000/10731592879921 (*.f64 x x))) (/.f64 -99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4))))
(+.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 -170591047700000/10731592879921 (*.f64 x x)) (/.f64 99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(/.f64 71124184/81897775 x)
(-.f64 (.f64 71124184/81897775 (/.f64 1 x)) (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 71124184/81897775 x) (/.f64 170591047700000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 71124184/81897775 x) (/.f64 -170591047700000/10731592879921 (*.f64 x x)))
(-.f64 (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (*.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 71124184/81897775 x) (/.f64 170591047700000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 71124184/81897775 x) (-.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 170591047700000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -170591047700000/10731592879921 (*.f64 x x))))
(-.f64 (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (+.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 99695994690000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (/.f64 99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 71124184/81897775 x) (/.f64 -170591047700000/10731592879921 (*.f64 x x))) (/.f64 -99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4))))
(+.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 -170591047700000/10731592879921 (*.f64 x x)) (/.f64 99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))

eval934.0ms (5%)

Compiler: Compiled 33532 to 26401 computations (21.3% saved)

prune192.0ms (1%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	717	11	728
Fresh	4	4	8
Picked	0	1	1
Done	4	3	7
Total	725	19	744

Error

0.0b

Counts

744 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	49.2b	(+.f64 (log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))) (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
	25.1b	1
	35.5b	(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
	37.7b	(+.f64 1/1000000000 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
	37.2b	(+.f64 1/1000000000 (.f64 x (+.f64 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) 564193179035109/500000000000000)))
✓	11.5b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
▶	11.5b	(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1061405429/1000000000 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
▶	36.1b	(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x 564193179035109/500000000000000))) 2)))
✓	36.6b	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
▶	36.2b	(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
✓	11.5b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
▶	61.7b	(*.f64 564193179035109/500000000000000 x)
▶	34.8b	(exp.f64 (log.f64 1/1000000000))
	34.0b	1/1000000000
	37.5b	(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))))
	12.5b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
	12.8b	(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
✓	12.8b	(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
	36.1b	(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))))

Compiler

Compiled 729 to 597 computations (18.1% saved)

localize110.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
	0.5b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	0.7b	(+.f64 (/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)) -1453152027/1000000000)
✓	11.5b	(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1061405429/1000000000 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))

Compiler

Compiled 306 to 224 computations (26.8% saved)

series32.0ms (0.2%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1061405429/1000000000 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
1.0ms	x	@	-inf	(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1061405429/1000000000 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
1.0ms	x	@	inf	(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1061405429/1000000000 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
1.0ms	x	@	0	(/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
0.0ms	x	@	-inf	(/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

332×	`add-sqr-sqrt_binary64`
316×	`add-log-exp_binary64`
315×	`log1p-expm1-u_binary64`
315×	`expm1-log1p-u_binary64`
313×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	96
1	707	80

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs

(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))

(+.f64 (/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)) -1453152027/1000000000)

(/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (+.f64 (neg.f64 (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (fma.f64 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 x 3275911/10000000 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1))))) -31853699/125000000) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (fma.f64 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 x 3275911/10000000 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1))))) -31853699/125000000) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 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simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

612×	`associate--l+_binary64`
488×	`fma-def_binary64`
472×	`associate-+r+_binary64`
337×	`associate-l_binary64`
337×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	2475
1	687	2273
2	2069	1865

Stop Event

1×	node limit

Counts

105 → 93

Calls

Call 1

Inputs
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(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))

Outputs
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(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000)
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(*.f64 564193179035109/500000000000000 x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.0b	(exp.f64 (log.f64 1/1000000000))

Compiler

Compiled 7 to 7 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`fma-def_binary64`
380×	`log-pow_binary64`
363×	`expm1-udef_binary64`
362×	`log1p-udef_binary64`
278×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	1
1	65	1
2	600	1
3	5901	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(exp.f64 (log.f64 1/1000000000))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1/1000000000)))))

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs

Outputs

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.1b

(fma.f64 564193179035109/500000000000000 x 1/1000000000)

✓

0.2b

(pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2)

✓

17.7b

(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))

Compiler

Compiled 22 to 18 computations (18.2% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2)
0.0ms	x	@	-inf	(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
0.0ms	x	@	0	(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
0.0ms	x	@	inf	(pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2)
0.0ms	x	@	-inf	(pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2)

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`pow1_binary64`
545×	`add-log-exp_binary64`
545×	`log1p-expm1-u_binary64`
545×	`expm1-log1p-u_binary64`
535×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	166	18
2	1505	18

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

Inputs

(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))

(pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2)

(fma.f64 564193179035109/500000000000000 x 1/1000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 564193179035109/500000000000000 x) 1) 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2) (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) (sqrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (fma.f64 564193179035109/500000000000000 x 1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 3) 1/1000000000000000000000000000) (+.f64 (*.f64 (*.f64 564193179035109/500000000000000 x) (*.f64 564193179035109/500000000000000 x)) (-.f64 1/1000000000000000000 (*.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 564193179035109/500000000000000 x) (*.f64 564193179035109/500000000000000 x)) 1/1000000000000000000) (-.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 564193179035109/500000000000000 x 1/1000000000)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 564193179035109/500000000000000 x) (fma.f64 564193179035109/500000000000000 x 1/1000000000)) (*.f64 1/1000000000 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) (*.f64 564193179035109/500000000000000 x)) (*.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) (fma.f64 564193179035109/500000000000000 x 1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2) (cbrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 4)) (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) (*.f64 (sqrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) (sqrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000))) (sqrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2)) (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 564193179035109/500000000000000 x) 1) 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2) (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) (sqrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (fma.f64 564193179035109/500000000000000 x 1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 3) 1/1000000000000000000000000000) (+.f64 (*.f64 (*.f64 564193179035109/500000000000000 x) (*.f64 564193179035109/500000000000000 x)) (-.f64 1/1000000000000000000 (*.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 564193179035109/500000000000000 x) (*.f64 564193179035109/500000000000000 x)) 1/1000000000000000000) (-.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))))

simplify183.0ms (1%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
605×	`associate-l_binary64`
531×	`fma-def_binary64`
490×	`cube-prod_binary64`
480×	`fabs-mul_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	270
1	34	222
2	57	220
3	105	198
4	228	198
5	610	198
6	2046	198
7	3409	198
8	3615	198
9	3828	198
10	4048	198
11	4362	198
12	4766	198
13	5277	198
14	5846	198
15	6534	198
16	7369	198
17	7761	198

Stop Event

1×	node limit

Counts

106 → 56

Calls

Call 1

Inputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
1/1000000000000000000
(+.f64 (*.f64 564193179035109/250000000000000000000000 x) 1/1000000000000000000)
(+.f64 (.f64 564193179035109/250000000000000000000000 x) (+.f64 1/1000000000000000000 (.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))))
(+.f64 (.f64 564193179035109/250000000000000000000000 x) (+.f64 1/1000000000000000000 (.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(+.f64 (.f64 564193179035109/250000000000000000000000 x) (.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2)))
(+.f64 (.f64 564193179035109/250000000000000000000000 x) (+.f64 1/1000000000000000000 (.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))))
(+.f64 (.f64 564193179035109/250000000000000000000000 x) (+.f64 1/1000000000000000000 (.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(+.f64 (.f64 564193179035109/250000000000000000000000 x) (.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2)))
(+.f64 (.f64 564193179035109/250000000000000000000000 x) (+.f64 1/1000000000000000000 (.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))))
(+.f64 (.f64 564193179035109/250000000000000000000000 x) (+.f64 1/1000000000000000000 (.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))))
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))

Outputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
1/1000000000000000000
(+.f64 (*.f64 564193179035109/250000000000000000000000 x) 1/1000000000000000000)
(fma.f64 564193179035109/250000000000000000000000 x 1/1000000000000000000)
(fma.f64 x 564193179035109/250000000000000000000000 1/1000000000000000000)
(+.f64 (.f64 564193179035109/250000000000000000000000 x) (+.f64 1/1000000000000000000 (.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 564193179035109/250000000000000000000000 x 1/1000000000000000000) (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)))
(fma.f64 x 564193179035109/250000000000000000000000 (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) 1/1000000000000000000))
(fma.f64 x 564193179035109/250000000000000000000000 (fma.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000) 1/1000000000000000000))
(fma.f64 x (fma.f64 x 318313943269742557644254641881/250000000000000000000000000000 564193179035109/250000000000000000000000) 1/1000000000000000000)
(+.f64 (.f64 564193179035109/250000000000000000000000 x) (+.f64 1/1000000000000000000 (.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 564193179035109/250000000000000000000000 x 1/1000000000000000000) (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)))
(fma.f64 x 564193179035109/250000000000000000000000 (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) 1/1000000000000000000))
(fma.f64 x 564193179035109/250000000000000000000000 (fma.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000) 1/1000000000000000000))
(fma.f64 x (fma.f64 x 318313943269742557644254641881/250000000000000000000000000000 564193179035109/250000000000000000000000) 1/1000000000000000000)
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(+.f64 (.f64 564193179035109/250000000000000000000000 x) (.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2)))
(fma.f64 564193179035109/250000000000000000000000 x (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)))
(fma.f64 x 564193179035109/250000000000000000000000 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))
(.f64 x (+.f64 (.f64 x 318313943269742557644254641881/250000000000000000000000000000) 564193179035109/250000000000000000000000))
(*.f64 x (fma.f64 x 318313943269742557644254641881/250000000000000000000000000000 564193179035109/250000000000000000000000))
(+.f64 (.f64 564193179035109/250000000000000000000000 x) (+.f64 1/1000000000000000000 (.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 564193179035109/250000000000000000000000 x 1/1000000000000000000) (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)))
(fma.f64 x 564193179035109/250000000000000000000000 (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) 1/1000000000000000000))
(fma.f64 x 564193179035109/250000000000000000000000 (fma.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000) 1/1000000000000000000))
(fma.f64 x (fma.f64 x 318313943269742557644254641881/250000000000000000000000000000 564193179035109/250000000000000000000000) 1/1000000000000000000)
(+.f64 (.f64 564193179035109/250000000000000000000000 x) (+.f64 1/1000000000000000000 (.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 564193179035109/250000000000000000000000 x 1/1000000000000000000) (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)))
(fma.f64 x 564193179035109/250000000000000000000000 (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) 1/1000000000000000000))
(fma.f64 x 564193179035109/250000000000000000000000 (fma.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000) 1/1000000000000000000))
(fma.f64 x (fma.f64 x 318313943269742557644254641881/250000000000000000000000000000 564193179035109/250000000000000000000000) 1/1000000000000000000)
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(+.f64 (.f64 564193179035109/250000000000000000000000 x) (.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2)))
(fma.f64 564193179035109/250000000000000000000000 x (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)))
(fma.f64 x 564193179035109/250000000000000000000000 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))
(.f64 x (+.f64 (.f64 x 318313943269742557644254641881/250000000000000000000000000000) 564193179035109/250000000000000000000000))
(*.f64 x (fma.f64 x 318313943269742557644254641881/250000000000000000000000000000 564193179035109/250000000000000000000000))
(+.f64 (.f64 564193179035109/250000000000000000000000 x) (+.f64 1/1000000000000000000 (.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 564193179035109/250000000000000000000000 x 1/1000000000000000000) (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)))
(fma.f64 x 564193179035109/250000000000000000000000 (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) 1/1000000000000000000))
(fma.f64 x 564193179035109/250000000000000000000000 (fma.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000) 1/1000000000000000000))
(fma.f64 x (fma.f64 x 318313943269742557644254641881/250000000000000000000000000000 564193179035109/250000000000000000000000) 1/1000000000000000000)
(+.f64 (.f64 564193179035109/250000000000000000000000 x) (+.f64 1/1000000000000000000 (.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 564193179035109/250000000000000000000000 x 1/1000000000000000000) (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)))
(fma.f64 x 564193179035109/250000000000000000000000 (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) 1/1000000000000000000))
(fma.f64 x 564193179035109/250000000000000000000000 (fma.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000) 1/1000000000000000000))
(fma.f64 x (fma.f64 x 318313943269742557644254641881/250000000000000000000000000000 564193179035109/250000000000000000000000) 1/1000000000000000000)
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x 564193179035109/500000000000000))) 2)
✓	0.2b	(*.f64 x 564193179035109/500000000000000)
✓	8.4b	(fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x 564193179035109/500000000000000)))
✓	18.4b	(sqrt.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x 564193179035109/500000000000000))) 2))

Compiler

Compiled 87 to 60 computations (31% saved)

series5.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x 564193179035109/500000000000000))) 2)
1.0ms	x	@	inf	(sqrt.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x 564193179035109/500000000000000))) 2))
1.0ms	x	@	-inf	(sqrt.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x 564193179035109/500000000000000))) 2))
1.0ms	x	@	-inf	(pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x 564193179035109/500000000000000))) 2)
0.0ms	x	@	0	(sqrt.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x 564193179035109/500000000000000))) 2))

rewrite116.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

459×	`log-prod_binary64`
358×	`exp-prod_binary64`
342×	`prod-exp_binary64`
288×	`pow2_binary64`
267×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	61
1	295	61
2	2835	61

Stop Event

1×	node limit

Counts

4 → 164

Calls

Call 1

Inputs
(sqrt.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x 564193179035109/500000000000000))) 2))
(fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x 564193179035109/500000000000000)))
(*.f64 x 564193179035109/500000000000000)
(pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x 564193179035109/500000000000000))) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))) (.f64 (.f64 -2364858879768868679/20000000000000000000000 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 -2364858879768868679/20000000000000000000000 x) x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 -2364858879768868679/20000000000000000000000 x) x) 1) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))) (.f64 x 564193179035109/500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 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(fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))) 5) (cbrt.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 4 (log.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))) 2)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))) 2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))) 1) (log.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))) 2)) 1/2) (log.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))) (.f64 (log.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 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-375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))) (.f64 (log.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))) 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))) 1) (.f64 (log.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))) 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 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3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 -2364858879768868679/20000000000000000000000 x) x) (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))) (.f64 (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))) (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))))))))

simplify123.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

676×	`fma-def_binary64`
662×	`distribute-rgt-out_binary64`
492×	`unswap-sqr_binary64`
488×	`distribute-lft-out_binary64`
482×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	588
1	103	588
2	253	567
3	810	511
4	3110	507
5	5568	507
6	5905	507
7	6399	507
8	7317	507

Stop Event

1×	node limit

Counts

212 → 143

Calls

Call 1

Inputs
(*.f64 564193179035109/500000000000000 x)
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x)))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x)))
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x)))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x)))
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x)))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x)))
(*.f64 564193179035109/500000000000000 x)
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x)))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x)))
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x)))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x)))
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x)))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x)))
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(+.f64 (.f64 -1334237249346204635648345751451011/5000000000000000000000000000000000000 (pow.f64 x 3)) (.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2)))
(+.f64 (.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4)) (+.f64 (.f64 -1334237249346204635648345751451011/5000000000000000000000000000000000000 (pow.f64 x 3)) (*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))))
(+.f64 (.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (+.f64 (.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4)) (+.f64 (.f64 -1334237249346204635648345751451011/5000000000000000000000000000000000000 (pow.f64 x 3)) (.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2)))))
(*.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))
(+.f64 (.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(+.f64 (.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (+.f64 (.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4)) (*.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))
(+.f64 (.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (+.f64 (.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4)) (+.f64 (.f64 -1334237249346204635648345751451011/5000000000000000000000000000000000000 (pow.f64 x 3)) (.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))
(*.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))
(+.f64 (.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(+.f64 (.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (+.f64 (.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4)) (*.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))
(+.f64 (.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (+.f64 (.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4)) (+.f64 (.f64 -1334237249346204635648345751451011/5000000000000000000000000000000000000 (pow.f64 x 3)) (.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))

Outputs
(*.f64 564193179035109/500000000000000 x)
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x))
(fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x (.f64 -2364858879768868679/20000000000000000000000 (.f64 x x)))
(.f64 x (+.f64 564193179035109/500000000000000 (.f64 x -2364858879768868679/20000000000000000000000)))
(*.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000))
(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x)))
(fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 564193179035109/500000000000000 x)))
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(+.f64 (.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(fma.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5) (*.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(.f64 (pow.f64 x 5) (+.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (.f64 x 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000)))
(+.f64 (.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (+.f64 (.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4)) (*.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))
(fma.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5) (fma.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4) (*.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))
(fma.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4) (fma.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5) (*.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))
(fma.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4) (.f64 (pow.f64 x 5) (+.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (.f64 x 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000))))
(+.f64 (.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (+.f64 (.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4)) (+.f64 (.f64 -1334237249346204635648345751451011/5000000000000000000000000000000000000 (pow.f64 x 3)) (.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))
(fma.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5) (fma.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4) (fma.f64 -1334237249346204635648345751451011/5000000000000000000000000000000000000 (pow.f64 x 3) (*.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))
(fma.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5) (fma.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4) (fma.f64 (pow.f64 x 3) -1334237249346204635648345751451011/5000000000000000000000000000000000000 (*.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))
(fma.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4) (fma.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1334237249346204635648345751451011/5000000000000000000000000000000000000 (*.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))
(fma.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6) (fma.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5) (.f64 (pow.f64 x 3) (+.f64 (.f64 x -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000) -1334237249346204635648345751451011/5000000000000000000000000000000000000))))
(fma.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4) (fma.f64 (pow.f64 x 3) -1334237249346204635648345751451011/5000000000000000000000000000000000000 (.f64 (pow.f64 x 5) (+.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (.f64 x 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000)))))
(*.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))
(+.f64 (.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(fma.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5) (*.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(.f64 (pow.f64 x 5) (+.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (.f64 x 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000)))
(+.f64 (.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (+.f64 (.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4)) (*.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))
(fma.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5) (fma.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4) (*.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))
(fma.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4) (fma.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5) (*.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))
(fma.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4) (.f64 (pow.f64 x 5) (+.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (.f64 x 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000))))
(+.f64 (.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (+.f64 (.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4)) (+.f64 (.f64 -1334237249346204635648345751451011/5000000000000000000000000000000000000 (pow.f64 x 3)) (.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))
(fma.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5) (fma.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4) (fma.f64 -1334237249346204635648345751451011/5000000000000000000000000000000000000 (pow.f64 x 3) (*.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))
(fma.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5) (fma.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4) (fma.f64 (pow.f64 x 3) -1334237249346204635648345751451011/5000000000000000000000000000000000000 (*.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))
(fma.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4) (fma.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1334237249346204635648345751451011/5000000000000000000000000000000000000 (*.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))
(fma.f64 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6) (fma.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (pow.f64 x 5) (.f64 (pow.f64 x 3) (+.f64 (.f64 x -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000) -1334237249346204635648345751451011/5000000000000000000000000000000000000))))
(fma.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4) (fma.f64 (pow.f64 x 3) -1334237249346204635648345751451011/5000000000000000000000000000000000000 (.f64 (pow.f64 x 5) (+.f64 887889229394064435691017786816329137264055614883/10000000000000000000000000000000000000000000000000000 (.f64 x 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000)))))

eval364.0ms (2%)

Compiler: Compiled 12026 to 9378 computations (22% saved)

prune120.0ms (0.6%)

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	306	11	317
Fresh	2	8	10
Picked	1	0	1
Done	2	6	8
Total	311	25	336

Error

0.0b

Counts

336 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	49.2b	(+.f64 (log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))) (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
	25.1b	1
	35.9b	(+.f64 1/1000000000 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))) 2) 3/2))
	37.2b	(+.f64 1/1000000000 (.f64 x (+.f64 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) 564193179035109/500000000000000)))
	36.0b	(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (sqrt.f64 (.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)))) 2)))
✓	11.5b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
	35.5b	(+.f64 1/1000000000 (sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))))
✓	11.5b	(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1061405429/1000000000 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
	35.5b	(+.f64 1/1000000000 (sqrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))))
✓	36.6b	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
✓	11.5b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	35.5b	(fabs.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000))
✓	61.7b	(*.f64 564193179035109/500000000000000 x)
	61.8b	(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
	34.0b	1/1000000000
	37.5b	(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))))
	35.9b	(+.f64 1/1000000000 (fabs.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))))
	61.0b	(sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))
	12.5b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
	36.5b	(+.f64 1/1000000000 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1334237249346204635648345751451011/5000000000000000000000000000000000000 318313943269742557644254641881/250000000000000000000000000000)) (.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4)))))
	12.8b	(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
	37.2b	(+.f64 1/1000000000 (sqrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))) 2))) 1)))
	61.4b	(sqrt.f64 (*.f64 x (fma.f64 x 318313943269742557644254641881/250000000000000000000000000000 564193179035109/250000000000000000000000)))
✓	12.8b	(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
	36.1b	(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))))

Compiler

Compiled 546 to 440 computations (19.4% saved)

regimes571.0ms (3.1%)

Counts

53 → 2

Calls

Call 1

Inputs
1/1000000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (.f64 x (+.f64 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) 564193179035109/500000000000000)))
(sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))
(+.f64 1/1000000000 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 1/1000000000 (sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(exp.f64 (log.f64 1/1000000000))
(fabs.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000))
(sqrt.f64 (*.f64 x (fma.f64 x 318313943269742557644254641881/250000000000000000000000000000 564193179035109/250000000000000000000000)))
(+.f64 1/1000000000 (sqrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))))
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(+.f64 (log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))) (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(+.f64 1/1000000000 (fabs.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))))
(+.f64 1/1000000000 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1334237249346204635648345751451011/5000000000000000000000000000000000000 318313943269742557644254641881/250000000000000000000000000000)) (.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4)))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x 564193179035109/500000000000000))) 2)))
(+.f64 1/1000000000 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))) 2) 3/2))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (sqrt.f64 (.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)))) 2)))
(+.f64 1/1000000000 (sqrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))) 2))) 1)))
(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) 1)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3) 1/3)
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (fma.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (/.f64 1 (fma.f64 3275911/10000000 x 1)) 1421413741/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (cbrt.f64 (pow.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 3))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1061405429/1000000000 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2) 1) (-.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1))
(+.f64 1 (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 4)) (-.f64 (fma.f64 (+.f64 (/.f64 31853699/125000000 (fma.f64 3275911/10000000 x 1)) (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 5)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))) (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 4)) (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))))) (*.f64 x x) (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 5)) (+.f64 (/.f64 31853699/125000000 (fma.f64 3275911/10000000 x 1)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2) (-.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))

Outputs

(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))))

(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))

Calls

7 calls:

207.0ms	x
103.0ms	(fabs.f64 x)
95.0ms	(fabs.f64 x)
20.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
18.0ms	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))

Results

Error	Segments	Branch
0.0b	3	`x`
0.0b	2	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
0.0b	2	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
0.0b	2	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))
0.0b	2	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))
0.0b	2	`(fabs.f64 x)`
0.0b	2	`(fabs.f64 x)`

Compiler

Compiled 1974 to 1535 computations (22.2% saved)

bsearch3.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1377281202560028e-7	0.007115602309660742

Compiler

Compiled 63 to 55 computations (12.7% saved)

regimes313.0ms (1.7%)

Counts

47 → 2

Calls

Call 1

Inputs
1/1000000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (.f64 x (+.f64 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) 564193179035109/500000000000000)))
(sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))
(+.f64 1/1000000000 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 1/1000000000 (sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(exp.f64 (log.f64 1/1000000000))
(fabs.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000))
(sqrt.f64 (*.f64 x (fma.f64 x 318313943269742557644254641881/250000000000000000000000000000 564193179035109/250000000000000000000000)))
(+.f64 1/1000000000 (sqrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))))
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(+.f64 (log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))) (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(+.f64 1/1000000000 (fabs.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))))
(+.f64 1/1000000000 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1334237249346204635648345751451011/5000000000000000000000000000000000000 318313943269742557644254641881/250000000000000000000000000000)) (.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4)))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x 564193179035109/500000000000000))) 2)))
(+.f64 1/1000000000 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))) 2) 3/2))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (sqrt.f64 (.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)))) 2)))
(+.f64 1/1000000000 (sqrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))) 2))) 1)))
(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) 1)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3) 1/3)
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (fma.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (/.f64 1 (fma.f64 3275911/10000000 x 1)) 1421413741/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (cbrt.f64 (pow.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 3))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))

Outputs

(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))))

(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

Calls

7 calls:

101.0ms	(fabs.f64 x)
63.0ms	x
45.0ms	(fabs.f64 x)
30.0ms	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))
12.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Results

Error	Segments	Branch
0.0b	3	`x`
0.0b	2	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
0.0b	2	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
0.0b	2	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))
0.0b	2	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))
0.0b	2	`(fabs.f64 x)`
0.0b	2	`(fabs.f64 x)`

Compiler

Compiled 1517 to 1178 computations (22.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1377281202560028e-7	0.007115602309660742

Compiler

Compiled 63 to 55 computations (12.7% saved)

regimes68.0ms (0.4%)

Counts

35 → 3

Calls

Call 1

Inputs
1/1000000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (.f64 x (+.f64 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) 564193179035109/500000000000000)))
(sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))
(+.f64 1/1000000000 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 1/1000000000 (sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(exp.f64 (log.f64 1/1000000000))
(fabs.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000))
(sqrt.f64 (*.f64 x (fma.f64 x 318313943269742557644254641881/250000000000000000000000000000 564193179035109/250000000000000000000000)))
(+.f64 1/1000000000 (sqrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))))
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(+.f64 (log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))) (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(+.f64 1/1000000000 (fabs.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))))
(+.f64 1/1000000000 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1334237249346204635648345751451011/5000000000000000000000000000000000000 318313943269742557644254641881/250000000000000000000000000000)) (.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4)))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x 564193179035109/500000000000000))) 2)))
(+.f64 1/1000000000 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))) 2) 3/2))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (sqrt.f64 (.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)))) 2)))
(+.f64 1/1000000000 (sqrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))) 2))) 1)))
(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

Outputs

(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))))

(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (*.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

Calls

1 calls:

49.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 631 to 493 computations (21.9% saved)

bsearch175.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
89.0ms	1.1377281202560028e-7	0.007115602309660742
84.0ms	-141.95970556005847	-0.5352218021411645

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes108.0ms (0.6%)

Counts

33 → 3

Calls

Call 1

Inputs
1/1000000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (.f64 x (+.f64 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) 564193179035109/500000000000000)))
(sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))
(+.f64 1/1000000000 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 1/1000000000 (sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(exp.f64 (log.f64 1/1000000000))
(fabs.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000))
(sqrt.f64 (*.f64 x (fma.f64 x 318313943269742557644254641881/250000000000000000000000000000 564193179035109/250000000000000000000000)))
(+.f64 1/1000000000 (sqrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))))
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(+.f64 (log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))) (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(+.f64 1/1000000000 (fabs.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))))
(+.f64 1/1000000000 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1334237249346204635648345751451011/5000000000000000000000000000000000000 318313943269742557644254641881/250000000000000000000000000000)) (.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4)))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x 564193179035109/500000000000000))) 2)))
(+.f64 1/1000000000 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))) 2) 3/2))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (sqrt.f64 (.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)))) 2)))
(+.f64 1/1000000000 (sqrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))) 2))) 1)))
(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)

Outputs

(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))))

(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)

Calls

1 calls:

78.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 515 to 403 computations (21.7% saved)

bsearch141.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
56.0ms	1.1377281202560028e-7	0.007115602309660742
84.0ms	-141.95970556005847	-0.5352218021411645

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes59.0ms (0.3%)

Counts

31 → 3

Calls

Call 1

Inputs
1/1000000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (.f64 x (+.f64 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) 564193179035109/500000000000000)))
(sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))
(+.f64 1/1000000000 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 1/1000000000 (sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(exp.f64 (log.f64 1/1000000000))
(fabs.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000))
(sqrt.f64 (*.f64 x (fma.f64 x 318313943269742557644254641881/250000000000000000000000000000 564193179035109/250000000000000000000000)))
(+.f64 1/1000000000 (sqrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))))
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(+.f64 (log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))) (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(+.f64 1/1000000000 (fabs.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))))
(+.f64 1/1000000000 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1334237249346204635648345751451011/5000000000000000000000000000000000000 318313943269742557644254641881/250000000000000000000000000000)) (.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4)))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x 564193179035109/500000000000000))) 2)))
(+.f64 1/1000000000 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))) 2) 3/2))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (sqrt.f64 (.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)))) 2)))
(+.f64 1/1000000000 (sqrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))) 2))) 1)))
(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)

Outputs

(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))))

(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)

Calls

1 calls:

45.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 433 to 339 computations (21.7% saved)

bsearch132.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	1.1377281202560028e-7	0.007115602309660742
71.0ms	-141.95970556005847	-0.5352218021411645

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes54.0ms (0.3%)

Counts

28 → 3

Calls

Call 1

Inputs
1/1000000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (.f64 x (+.f64 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) 564193179035109/500000000000000)))
(sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))
(+.f64 1/1000000000 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 1/1000000000 (sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(exp.f64 (log.f64 1/1000000000))
(fabs.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000))
(sqrt.f64 (*.f64 x (fma.f64 x 318313943269742557644254641881/250000000000000000000000000000 564193179035109/250000000000000000000000)))
(+.f64 1/1000000000 (sqrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))))
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(+.f64 (log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))) (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(+.f64 1/1000000000 (fabs.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))))
(+.f64 1/1000000000 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1334237249346204635648345751451011/5000000000000000000000000000000000000 318313943269742557644254641881/250000000000000000000000000000)) (.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4)))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 x 564193179035109/500000000000000))) 2)))
(+.f64 1/1000000000 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))) 2) 3/2))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (sqrt.f64 (.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)))) 2)))
(+.f64 1/1000000000 (sqrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))) 2))) 1)))

Outputs

(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))))

Calls

1 calls:

41.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 307 to 238 computations (22.5% saved)

bsearch108.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
52.0ms	0.007115602309660742	472.01743582695923
55.0ms	-141.95970556005847	-0.5352218021411645

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes41.0ms (0.2%)

Counts

23 → 3

Calls

Call 1

Inputs
1/1000000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (.f64 x (+.f64 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) 564193179035109/500000000000000)))
(sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))
(+.f64 1/1000000000 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 1/1000000000 (sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(exp.f64 (log.f64 1/1000000000))
(fabs.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000))
(sqrt.f64 (*.f64 x (fma.f64 x 318313943269742557644254641881/250000000000000000000000000000 564193179035109/250000000000000000000000)))
(+.f64 1/1000000000 (sqrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))))
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(+.f64 (log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))) (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(+.f64 1/1000000000 (fabs.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))))
(+.f64 1/1000000000 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1334237249346204635648345751451011/5000000000000000000000000000000000000 318313943269742557644254641881/250000000000000000000000000000)) (.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4)))))

Outputs

(+.f64 1/1000000000 (sqrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -1334237249346204635648345751451011/5000000000000000000000000000000000000 318313943269742557644254641881/250000000000000000000000000000)) (*.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4)))))

Calls

1 calls:

33.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 206 to 162 computations (21.4% saved)

bsearch109.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	0.007115602309660742	472.01743582695923
57.0ms	-141.95970556005847	-0.5352218021411645

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes42.0ms (0.2%)

Counts

22 → 3

Calls

Call 1

Inputs
1/1000000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (.f64 x (+.f64 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) 564193179035109/500000000000000)))
(sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))
(+.f64 1/1000000000 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 1/1000000000 (sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(exp.f64 (log.f64 1/1000000000))
(fabs.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000))
(sqrt.f64 (*.f64 x (fma.f64 x 318313943269742557644254641881/250000000000000000000000000000 564193179035109/250000000000000000000000)))
(+.f64 1/1000000000 (sqrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))))
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(+.f64 (log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))) (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(+.f64 1/1000000000 (fabs.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))))

Outputs

(+.f64 1/1000000000 (fabs.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (fma.f64 x 564193179035109/500000000000000 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))))))

Calls

1 calls:

34.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 190 to 150 computations (21.1% saved)

bsearch108.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	0.007115602309660742	472.01743582695923
56.0ms	-141.95970556005847	-0.5352218021411645

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes40.0ms (0.2%)

Counts

21 → 3

Calls

Call 1

Inputs
1/1000000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (.f64 x (+.f64 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) 564193179035109/500000000000000)))
(sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))
(+.f64 1/1000000000 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 1/1000000000 (sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(exp.f64 (log.f64 1/1000000000))
(fabs.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000))
(sqrt.f64 (*.f64 x (fma.f64 x 318313943269742557644254641881/250000000000000000000000000000 564193179035109/250000000000000000000000)))
(+.f64 1/1000000000 (sqrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))))
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(+.f64 (log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))) (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))

Outputs
1
(+.f64 1/1000000000 (sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))))
1

Calls

1 calls:

31.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 174 to 139 computations (20.1% saved)

bsearch107.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	0.007115602309660742	472.01743582695923
52.0ms	-141.95970556005847	-0.5352218021411645

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes20.0ms (0.1%)

Counts

9 → 3

Calls

Call 1

Inputs
1/1000000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (.f64 x (+.f64 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) 564193179035109/500000000000000)))
(sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))
(+.f64 1/1000000000 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))

Outputs

(+.f64 1/1000000000 (*.f64 x (+.f64 (*.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) 564193179035109/500000000000000)))

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
1.6b	3	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch108.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	0.007115602309660742	472.01743582695923
53.0ms	-1.3940988251050919e-9	-2.124465731643781e-11

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes17.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

Inputs
1/1000000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)

Outputs
1
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
1

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch108.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
53.0ms	0.007115602309660742	472.01743582695923
55.0ms	-1.3940988251050919e-9	-2.124465731643781e-11

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes15.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
1/1000000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)

Outputs
1
1/1000000000
1

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
2.2b	3	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch106.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
53.0ms	1.1377281202560028e-7	0.007115602309660742
53.0ms	-0.11719307555505581	-1.652849358800229e-8

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
1/1000000000
1/1000000000

Outputs
1/1000000000

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
34.0b	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify71.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

61×	`+-commutative_binary64`
54×	`*-commutative_binary64`
36×	`sub-neg_binary64`
31×	`neg-sub0_binary64`
31×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	793
1	233	793
2	282	793
3	330	793
4	376	793
5	415	793
6	450	793
7	466	793
8	479	793
9	487	793
10	497	793
11	500	793
12	501	793

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (fabs.f64 x) 944473296573929/4722366482869645213696) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))))) (-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1061405429/1000000000 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x)))))
(if (<=.f64 (fabs.f64 x) 944473296573929/4722366482869645213696) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))))) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))))))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 2149107656686093/18889465931478580854784) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))))) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 2149107656686093/18889465931478580854784) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))))) (fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 2149107656686093/18889465931478580854784) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))))) (+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 4101865460519009/576460752303423488) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))))) 1))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 4101865460519009/576460752303423488) (+.f64 1/1000000000 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1334237249346204635648345751451011/5000000000000000000000000000000000000 318313943269742557644254641881/250000000000000000000000000000)) (.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4))))) 1))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 4101865460519009/576460752303423488) (+.f64 1/1000000000 (fabs.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))))) 1))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 4101865460519009/576460752303423488) (+.f64 1/1000000000 (sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))) 1))
(if (<=.f64 x -6741448259055859/4835703278458516698824704) 1 (if (<=.f64 x 4101865460519009/576460752303423488) (+.f64 1/1000000000 (.f64 x (+.f64 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) 564193179035109/500000000000000))) 1))
(if (<=.f64 x -6741448259055859/4835703278458516698824704) 1 (if (<=.f64 x 4101865460519009/576460752303423488) (+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x)) 1))
(if (<=.f64 x -2111162765600607/18014398509481984) 1 (if (<=.f64 x 2149107656686093/18889465931478580854784) 1/1000000000 1))
1/1000000000

Outputs
(if (<=.f64 (fabs.f64 x) 944473296573929/4722366482869645213696) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))))) (-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1061405429/1000000000 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x)))))
(if (<=.f64 (fabs.f64 x) 944473296573929/4722366482869645213696) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))))) (-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x)))))
(if (<=.f64 (fabs.f64 x) 944473296573929/4722366482869645213696) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))))) (+.f64 1 (/.f64 (-.f64 -31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x)))))
(if (<=.f64 (fabs.f64 x) 944473296573929/4722366482869645213696) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))))) (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (-.f64 (/.f64 -1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) -1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x)))))
(if (<=.f64 (fabs.f64 x) 944473296573929/4722366482869645213696) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))))) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))))))
(if (<=.f64 (fabs.f64 x) 944473296573929/4722366482869645213696) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))))) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 -1453152027/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000)))))))))))) (exp.f64 (neg.f64 (*.f64 x x))))))
(if (<=.f64 (fabs.f64 x) 944473296573929/4722366482869645213696) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))))) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 -1453152027/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000)))))))))))) (exp.f64 (*.f64 x (neg.f64 x))))))
(if (<=.f64 (fabs.f64 x) 944473296573929/4722366482869645213696) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))))) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.f64 (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 -1453152027/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))))))))))) (/.f64 -1 (+.f64 1 (*.f64 (fabs.f64 x) 3275911/10000000)))))))
(if (<=.f64 (fabs.f64 x) 944473296573929/4722366482869645213696) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))))) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 -31853699/125000000 (.f64 (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 -1453152027/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))))))))) (/.f64 -1 (+.f64 1 (*.f64 (fabs.f64 x) 3275911/10000000)))))))))
(if (<=.f64 (fabs.f64 x) 944473296573929/4722366482869645213696) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))))) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 -31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 8890523/31250000 (.f64 (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 -1453152027/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))))))) (/.f64 -1 (+.f64 1 (*.f64 (fabs.f64 x) 3275911/10000000)))))))))))
(if (<=.f64 (fabs.f64 x) 944473296573929/4722366482869645213696) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))))) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 -31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 -1421413741/1000000000 (.f64 (+.f64 -1453152027/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))))) (/.f64 -1 (+.f64 1 (*.f64 (fabs.f64 x) 3275911/10000000)))))))))))))
(if (<=.f64 (fabs.f64 x) 944473296573929/4722366482869645213696) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))))) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 -31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 -1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 1453152027/1000000000 (.f64 1061405429/1000000000 (/.f64 -1 (+.f64 1 (*.f64 (fabs.f64 x) 3275911/10000000)))))))))))))))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 2149107656686093/18889465931478580854784) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))))) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 2149107656686093/18889465931478580854784) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))))) (-.f64 1 (.f64 (exp.f64 (neg.f64 (.f64 x x))) (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (*.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))))))))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 2149107656686093/18889465931478580854784) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))))) (-.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (*.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))))))))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 2149107656686093/18889465931478580854784) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))))) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.f64 (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))) (/.f64 -1 (+.f64 1 (*.f64 (fabs.f64 x) 3275911/10000000))))))))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 2149107656686093/18889465931478580854784) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))))) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 -31853699/125000000 (.f64 (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))) (/.f64 -1 (+.f64 1 (*.f64 (fabs.f64 x) 3275911/10000000))))))))))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 2149107656686093/18889465931478580854784) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))))) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 -31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 (fabs.f64 x) 3275911/10000000))) (-.f64 8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (*.f64 (fabs.f64 x) 3275911/10000000))) (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))))))))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 2149107656686093/18889465931478580854784) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))))) (fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 2149107656686093/18889465931478580854784) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (*.f64 x 564193179035109/500000000000000) 2))))) (fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 2149107656686093/18889465931478580854784) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (*.f64 x 564193179035109/500000000000000) 2))))) (fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 (-.f64 -1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 2149107656686093/18889465931478580854784) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (*.f64 x 564193179035109/500000000000000) 2))))) (fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 (+.f64 -1421413741/1000000000 (/.f64 (+.f64 1453152027/1000000000 (/.f64 -1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 2149107656686093/18889465931478580854784) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))))) (+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 2149107656686093/18889465931478580854784) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))))) (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 2149107656686093/18889465931478580854784) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))))) (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 (-.f64 -1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 2149107656686093/18889465931478580854784) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))))) (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 (+.f64 -1421413741/1000000000 (/.f64 (+.f64 1453152027/1000000000 (/.f64 -1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 4101865460519009/576460752303423488) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))))) 1))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 4101865460519009/576460752303423488) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (*.f64 x 564193179035109/500000000000000) 2))))) 1))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 4101865460519009/576460752303423488) (+.f64 1/1000000000 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1334237249346204635648345751451011/5000000000000000000000000000000000000 318313943269742557644254641881/250000000000000000000000000000)) (.f64 -1694616259709583688377970407028372130210790739/2000000000000000000000000000000000000000000000 (pow.f64 x 4))))) 1))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 4101865460519009/576460752303423488) (+.f64 1/1000000000 (fabs.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 x 564193179035109/500000000000000 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))))) 1))
(if (<=.f64 x -2497381551023065/17592186044416) 1 (if (<=.f64 x 4101865460519009/576460752303423488) (+.f64 1/1000000000 (sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))) 1))
(if (<=.f64 x -6741448259055859/4835703278458516698824704) 1 (if (<=.f64 x 4101865460519009/576460752303423488) (+.f64 1/1000000000 (.f64 x (+.f64 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) 564193179035109/500000000000000))) 1))
(if (<=.f64 x -6741448259055859/4835703278458516698824704) 1 (if (<=.f64 x 4101865460519009/576460752303423488) (+.f64 1/1000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))))) 1))
(if (<=.f64 x -6741448259055859/4835703278458516698824704) 1 (if (<=.f64 x 4101865460519009/576460752303423488) (+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x)) 1))
(if (<=.f64 x -6741448259055859/4835703278458516698824704) 1 (if (<=.f64 x 4101865460519009/576460752303423488) (+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000)) 1))
(if (<=.f64 x -2111162765600607/18014398509481984) 1 (if (<=.f64 x 2149107656686093/18889465931478580854784) 1/1000000000 1))
1/1000000000

Compiler

Compiled 550 to 449 computations (18.4% saved)

soundness466.0ms (2.5%)

Algorithm

3×	egg-herbie

Rules

890×	`fma-neg_binary64`
888×	`fma-def_binary64`
611×	`div-sub_binary64`
578×	`times-frac_binary64`
568×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	93
1	91	69
2	344	69
3	1058	69
4	4342	69
0	77	1476
1	242	1452
2	440	1428
3	1382	1428
4	7234	1428
0	80	1584
1	262	1452
2	594	1428
3	1824	1428
4	7173	1404

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 7569 to 6135 computations (18.9% saved)

end310.0ms (1.7%)

Compiler: Compiled 538 to 428 computations (20.4% saved)

Iter	Nodes	Cost
0	155	793
1	233	793
2	282	793
3	330	793
4	376	793
5	415	793
6	450	793
7	466	793
8	479	793
9	487	793
10	497	793
11	500	793
12	501	793

Iter	Nodes	Cost
0	155	793
1	233	793
2	282	793
3	330	793
4	376	793
5	415	793
6	450	793
7	466	793
8	479	793
9	487	793
10	497	793
11	500	793
12	501	793

Iter	Nodes	Cost
0	155	793
1	233	793
2	282	793
3	330	793
4	376	793
5	415	793
6	450	793
7	466	793
8	479	793
9	487	793
10	497	793
11	500	793
12	501	793