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)

sample2.6s (19.4%)

Results

2.6s

8256×

body

256

valid

preprocess100.0ms (0.7%)

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)

simplify46.0ms (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)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

13.6b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.6b	(-.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))))))

Status

Error

Program

▶

13.6b

(-.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 65 to 52 computations (20% saved)

localize283.0ms (2.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	0.5b	(+.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))))
✓	0.8b	(+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))
✓	13.6b	(-.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)

series30.0ms (0.2%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	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))))))
8.0ms	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))))))
8.0ms	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	@	0	(+.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))))

rewrite163.0ms (1.2%)

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 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))))
(*.f64 3275911/10000000 (fabs.f64 x))

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 -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))))))) (#(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 -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))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 3275911/10000000 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3275911/10000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3275911/10000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 3275911/10000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 35155743162854883031/1000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 10731592879921/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3275911/10000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3275911/10000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 35155743162854883031/1000000000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3275911/10000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3275911/10000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3275911/10000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 3275911/10000000 x)) 1))))))

simplify120.0ms (0.9%)

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

eval315.0ms (2.4%)

Compiler: Compiled 11309 to 8633 computations (23.7% saved)

prune54.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	158	8	166
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	158	9	167

Error

13.6b

Counts

167 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	13.6b	(-.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))))))
▶	45.3b	(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)
	46.1b	(log.f64 (exp.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)))))
▶	45.3b	(exp.f64 (log1p.f64 (*.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)))))
	13.8b	(-.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))))))
▶	45.3b	(/.f64 (-.f64 1 (pow.f64 (.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 1 (+.f64 (pow.f64 (.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)) 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))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))
	45.3b	(/.f64 (-.f64 1 (pow.f64 (.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)) 2)) (+.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))))
▶	45.3b	(+.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))))
▶	13.6b	(-.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 (+.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))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 1097 to 898 computations (18.1% saved)

localize163.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.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 (+.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)))))))
	0.4b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	0.6b	(/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
✓	13.6b	(-.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 (+.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))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 489 to 376 computations (23.1% saved)

series23.0ms (0.2%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	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 (+.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))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
2.0ms	x	@	0	(.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 (+.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)))))))
2.0ms	x	@	-inf	(.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 (+.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)))))))
2.0ms	x	@	inf	(.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 (+.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)))))))
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 (+.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))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

356×	`add-sqr-sqrt_binary64`
338×	`pow1_binary64`
337×	`*-un-lft-identity_binary64`
336×	`add-log-exp_binary64`
335×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	133
1	770	107

Stop Event

1×	node limit

Counts

3 → 76

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 (+.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))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(.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 (+.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)))))))

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 (+.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))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

(/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))

(*.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 (+.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)))))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (neg.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 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 1 (-.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 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 (cbrt.f64 (pow.f64 (-.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 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))) 2)) (cbrt.f64 (-.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 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 (sqrt.f64 (-.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 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 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 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 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 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)) (+.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 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)) 2) (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 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 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 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)) 2)) (+.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 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 (neg.f64 (-.f64 1 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 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 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Outputs

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simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

767×	`fma-def_binary64`
605×	`distribute-rgt-in_binary64`
579×	`distribute-lft-in_binary64`
455×	`associate-l_binary64`
372×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	1712
1	273	1688
2	531	1664
3	1625	1664

Stop Event

1×	node limit

Counts

108 → 86

Calls

Call 1

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

localize106.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
✓	0.5b	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))
✓	0.8b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓	13.6b	(+.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)

series10.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
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 (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))))
2.0ms	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 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))))
0.0ms	x	@	0	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))
0.0ms	x	@	inf	(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))

rewrite150.0ms (1.1%)

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	101
1	558	97
2	7811	97

Stop Event

1×	node limit

Counts

4 → 124

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 1061405429/1000000000 (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 -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)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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) x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 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) x) 1)) (/.f64 (pow.f64 (.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)) 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)) 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simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

618×	`associate-*l/_binary64`
496×	`associate-*r/_binary64`
396×	`fma-def_binary64`
380×	`fma-neg_binary64`
337×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	732
1	336	702
2	1014	668
3	3652	629

Stop Event

1×	node limit

Counts

172 → 181

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))))
1061405429/1000000000
(+.f64 1061405429/1000000000 (*.f64 -3477069720320819/10000000000000000 x))
(+.f64 1061405429/1000000000 (+.f64 (.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (.f64 -3477069720320819/10000000000000000 x)))
(+.f64 1061405429/1000000000 (+.f64 (.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -3477069720320819/10000000000000000 x) (*.f64 -37314496653583803988263375299/1000000000000000000000000000000 (pow.f64 x 3)))))
(/.f64 1061405429/327591100 x)
(-.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 1061405429/327591100 (/.f64 1 x))) (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 1061405429/327591100 (/.f64 1 x))) (+.f64 (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 10614054290000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
(/.f64 1061405429/327591100 x)
(-.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 1061405429/327591100 (/.f64 1 x))) (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 1061405429/327591100 (/.f64 1 x))) (+.f64 (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 10614054290000000000000000000/115167085740371102724966241 (/.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 -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 1/1000000000 (fma.f64 564193179035109/500000000000000 x (.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 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x -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 -10000000/3275911 (.f64 (exp.f64 (*.f64 x x)) -53932632800000/10731592879921))) (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) (-.f64 1 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x -53932632800000/10731592879921)) x))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) 2245236805000000000000/35155743162854883031) (pow.f64 x 3)))
(+.f64 (+.f64 1 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (-.f64 -63707398/81897775 (/.f64 -53932632800000/10731592879921 x)))) (/.f64 (.f64 (pow.f64 (exp.f64 x) x) -2245236805000000000000/35155743162854883031) (pow.f64 x 3)))
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 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x -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 -10000000/3275911 (.f64 (exp.f64 (*.f64 x x)) -53932632800000/10731592879921))) (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) (-.f64 1 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x -53932632800000/10731592879921)) x))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) 2245236805000000000000/35155743162854883031) (pow.f64 x 3)))
(+.f64 (+.f64 1 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (-.f64 -63707398/81897775 (/.f64 -53932632800000/10731592879921 x)))) (/.f64 (.f64 (pow.f64 (exp.f64 x) x) -2245236805000000000000/35155743162854883031) (pow.f64 x 3)))
-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 (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 1061405429/327591100 x) (+.f64 (/.f64 -106140542900000/10731592879921 (*.f64 x x)) -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))
(-.f64 (+.f64 (/.f64 1061405429/327591100 x) (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3))) (+.f64 1453152027/1000000000 (/.f64 106140542900000/10731592879921 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1061405429/327591100 x) (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3))) (+.f64 (/.f64 -106140542900000/10731592879921 (*.f64 x x)) -1453152027/1000000000))
(+.f64 (+.f64 (/.f64 1061405429/327591100 x) (+.f64 (/.f64 -106140542900000/10731592879921 (*.f64 x x)) -1453152027/1000000000)) (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)))
(+.f64 (/.f64 1061405429/327591100 x) (+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.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 1061405429/327591100 x) (+.f64 (/.f64 -106140542900000/10731592879921 (*.f64 x x)) -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))
(-.f64 (+.f64 (/.f64 1061405429/327591100 x) (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3))) (+.f64 1453152027/1000000000 (/.f64 106140542900000/10731592879921 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1061405429/327591100 x) (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3))) (+.f64 (/.f64 -106140542900000/10731592879921 (*.f64 x x)) -1453152027/1000000000))
(+.f64 (+.f64 (/.f64 1061405429/327591100 x) (+.f64 (/.f64 -106140542900000/10731592879921 (*.f64 x x)) -1453152027/1000000000)) (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)))
(+.f64 (/.f64 1061405429/327591100 x) (+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.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))
(+.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 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 -1453152027/327591100 x)))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 (/.f64 251455745600000/10731592879921 x) x) (/.f64 -1453152027/327591100 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 (/.f64 (/.f64 251455745600000/10731592879921 x) x) (/.f64 -1453152027/327591100 x)) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 1421413741/1000000000 (+.f64 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.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 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 -1453152027/327591100 x)))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 (/.f64 251455745600000/10731592879921 x) x) (/.f64 -1453152027/327591100 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 (/.f64 (/.f64 251455745600000/10731592879921 x) x) (/.f64 -1453152027/327591100 x)) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 1421413741/1000000000 (+.f64 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 -1453152027/327591100 x)) (/.f64 -3575962885000000000000/35155743162854883031 (pow.f64 x 3))))
1061405429/1000000000
(+.f64 1061405429/1000000000 (*.f64 -3477069720320819/10000000000000000 x))
(+.f64 (*.f64 x -3477069720320819/10000000000000000) 1061405429/1000000000)
(fma.f64 x -3477069720320819/10000000000000000 1061405429/1000000000)
(+.f64 1061405429/1000000000 (+.f64 (.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (.f64 -3477069720320819/10000000000000000 x)))
(+.f64 (fma.f64 11390570944565894491109/100000000000000000000000 (.f64 x x) (.f64 x -3477069720320819/10000000000000000)) 1061405429/1000000000)
(+.f64 (.f64 (.f64 x x) 11390570944565894491109/100000000000000000000000) (fma.f64 x -3477069720320819/10000000000000000 1061405429/1000000000))
(fma.f64 x -3477069720320819/10000000000000000 (fma.f64 x (*.f64 x 11390570944565894491109/100000000000000000000000) 1061405429/1000000000))
(+.f64 1061405429/1000000000 (+.f64 (.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -3477069720320819/10000000000000000 x) (*.f64 -37314496653583803988263375299/1000000000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 11390570944565894491109/100000000000000000000000 (.f64 x x) (fma.f64 -3477069720320819/10000000000000000 x (.f64 (pow.f64 x 3) -37314496653583803988263375299/1000000000000000000000000000000))) 1061405429/1000000000)
(+.f64 (fma.f64 (.f64 x x) 11390570944565894491109/100000000000000000000000 (fma.f64 x -3477069720320819/10000000000000000 (.f64 (pow.f64 x 3) -37314496653583803988263375299/1000000000000000000000000000000))) 1061405429/1000000000)
(+.f64 (.f64 x (+.f64 -3477069720320819/10000000000000000 (.f64 x 11390570944565894491109/100000000000000000000000))) (fma.f64 (pow.f64 x 3) -37314496653583803988263375299/1000000000000000000000000000000 1061405429/1000000000))
(+.f64 (.f64 x (+.f64 -3477069720320819/10000000000000000 (.f64 x (+.f64 11390570944565894491109/100000000000000000000000 (*.f64 x -37314496653583803988263375299/1000000000000000000000000000000))))) 1061405429/1000000000)
(/.f64 1061405429/327591100 x)
(-.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1061405429/327591100 x) (/.f64 106140542900000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 1061405429/327591100 x) (/.f64 -106140542900000/10731592879921 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 1061405429/327591100 (/.f64 1 x))) (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 1061405429/327591100 x) (/.f64 106140542900000/10731592879921 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1061405429/327591100 x) (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 -106140542900000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 1061405429/327591100 x) (+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -106140542900000/10731592879921 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 1061405429/327591100 (/.f64 1 x))) (+.f64 (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 10614054290000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 1061405429/327591100 x) (+.f64 (/.f64 106140542900000/10731592879921 (*.f64 x x)) (/.f64 10614054290000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(-.f64 (+.f64 (+.f64 (/.f64 1061405429/327591100 x) (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 -106140542900000/10731592879921 (*.f64 x x))) (/.f64 10614054290000000000000000000/115167085740371102724966241 (pow.f64 x 4)))
(+.f64 (/.f64 1061405429/327591100 x) (+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 -106140542900000/10731592879921 (*.f64 x x)) (/.f64 -10614054290000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1061405429/327591100 x) (+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -106140542900000/10731592879921 (*.f64 x x)))) (/.f64 -10614054290000000000000000000/115167085740371102724966241 (pow.f64 x 4)))
(/.f64 1061405429/327591100 x)
(-.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1061405429/327591100 x) (/.f64 106140542900000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 1061405429/327591100 x) (/.f64 -106140542900000/10731592879921 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 1061405429/327591100 (/.f64 1 x))) (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 1061405429/327591100 x) (/.f64 106140542900000/10731592879921 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1061405429/327591100 x) (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 -106140542900000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 1061405429/327591100 x) (+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -106140542900000/10731592879921 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 1061405429/327591100 (/.f64 1 x))) (+.f64 (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 10614054290000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 1061405429/327591100 x) (+.f64 (/.f64 106140542900000/10731592879921 (*.f64 x x)) (/.f64 10614054290000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(-.f64 (+.f64 (+.f64 (/.f64 1061405429/327591100 x) (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 -106140542900000/10731592879921 (*.f64 x x))) (/.f64 10614054290000000000000000000/115167085740371102724966241 (pow.f64 x 4)))
(+.f64 (/.f64 1061405429/327591100 x) (+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 -106140542900000/10731592879921 (*.f64 x x)) (/.f64 -10614054290000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1061405429/327591100 x) (+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -106140542900000/10731592879921 (*.f64 x x)))) (/.f64 -10614054290000000000000000000/115167085740371102724966241 (pow.f64 x 4)))

localize130.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))
	0.8b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓	1.0b	(exp.f64 (log1p.f64 (*.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	(log1p.f64 (*.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 321 to 256 computations (20.2% saved)

series24.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	x	@	inf	(log1p.f64 (*.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))))
3.0ms	x	@	-inf	(log1p.f64 (*.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))))
3.0ms	x	@	inf	(exp.f64 (log1p.f64 (*.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	(exp.f64 (log1p.f64 (*.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	(log1p.f64 (*.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))))

rewrite122.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	122
1	563	117
2	7651	117

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs

(log1p.f64 (*.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))))

(exp.f64 (log1p.f64 (*.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)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (*.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.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))))) (log.f64 (sqrt.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 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simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

882×	`fma-def_binary64`
506×	`associate-+l+_binary64`
472×	`associate-l_binary64`
457×	`associate-r_binary64`
430×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	1459
1	443	1308
2	1557	1164
3	7679	1164

Stop Event

1×	node limit

Counts

67 → 78

Calls

Call 1

Inputs
(log.f64 1/1000000000)
(+.f64 (*.f64 564193179035109/500000 x) (log.f64 1/1000000000))
(+.f64 (.f64 564193179035109/500000 x) (+.f64 (log.f64 1/1000000000) (.f64 -12732557770792067124649954543919/20000000000000 (pow.f64 x 2))))
(+.f64 (.f64 564193179035109/500000 x) (+.f64 (log.f64 1/1000000000) (+.f64 (.f64 -12732557770792067124649954543919/20000000000000 (pow.f64 x 2)) (*.f64 478908150482392519071679818060235820987102499623/1000000000000000000000 (pow.f64 x 3)))))
(*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)) (+.f64 (.f64 -382244388/81897775 (.f64 (exp.f64 (pow.f64 x 2)) (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (.f64 -6 (-.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))) (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)) (+.f64 (.f64 -382244388/81897775 (.f64 (exp.f64 (pow.f64 x 2)) (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (.f64 -6 (-.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))) (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (.f64 1/24 (/.f64 (+.f64 (.f64 -1528977552/81897775 (.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)))))) (exp.f64 (pow.f64 x 2)))) (+.f64 (.f64 -24 (-.f64 (.f64 -45804762450000000000000000000/115167085740371102724966241 (exp.f64 (pow.f64 x 2))) (.f64 10000000/3275911 (-.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))))))))) (+.f64 (.f64 -98834989539163346500279941619296/44987142867332462001939937890625 (pow.f64 (exp.f64 (pow.f64 x 2)) 4)) (+.f64 (.f64 -12 (pow.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) 2)) (.f64 -97407181438329696/6707245549950625 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))))))) (pow.f64 x 4))))))
(*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -6 (-.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))))))) (+.f64 (.f64 382244388/81897775 (.f64 (exp.f64 (pow.f64 x 2)) (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (pow.f64 x 3))) (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -6 (-.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))))))) (+.f64 (.f64 382244388/81897775 (.f64 (exp.f64 (pow.f64 x 2)) (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (pow.f64 x 3))) (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (.f64 1/24 (/.f64 (+.f64 (.f64 1528977552/81897775 (.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)))))) (exp.f64 (pow.f64 x 2)))) (+.f64 (.f64 -24 (-.f64 (.f64 -45804762450000000000000000000/115167085740371102724966241 (exp.f64 (pow.f64 x 2))) (.f64 -10000000/3275911 (-.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))))))))) (+.f64 (.f64 -98834989539163346500279941619296/44987142867332462001939937890625 (pow.f64 (exp.f64 (pow.f64 x 2)) 4)) (+.f64 (.f64 -12 (pow.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) 2)) (.f64 -97407181438329696/6707245549950625 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))))))) (pow.f64 x 4))))))
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 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))))
(+.f64 (.f64 -129282459915622549964396/1647925460758822642078125 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 3))) (+.f64 (.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)) (+.f64 (.f64 -382244388/81897775 (.f64 (exp.f64 (pow.f64 x 2)) (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (.f64 -6 (-.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))) (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (.f64 -31853699/81897775 (/.f64 (.f64 (+.f64 (.f64 -2 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (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 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))))
(+.f64 (.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 31853699/81897775 (.f64 (+.f64 (.f64 -2 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (exp.f64 (pow.f64 x 2)))) (+.f64 (.f64 129282459915622549964396/1647925460758822642078125 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)) (.f64 1/6 (+.f64 (.f64 -6 (-.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))))))) (+.f64 (.f64 382244388/81897775 (.f64 (exp.f64 (pow.f64 x 2)) (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))))))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (+.f64 1 (.f64 -63707398/81897775 (/.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 564193179035109/500000 x) (+.f64 (log.f64 1/1000000000) (.f64 -12732557770792067124649954543919/20000000000000 (pow.f64 x 2))))
(fma.f64 564193179035109/500000 x (+.f64 (log.f64 1/1000000000) (.f64 -12732557770792067124649954543919/20000000000000 (.f64 x x))))
(fma.f64 564193179035109/500000 x (fma.f64 -12732557770792067124649954543919/20000000000000 (*.f64 x x) (log.f64 1/1000000000)))
(fma.f64 564193179035109/500000 x (fma.f64 x (*.f64 x -12732557770792067124649954543919/20000000000000) (log.f64 1/1000000000)))
(+.f64 (.f64 564193179035109/500000 x) (+.f64 (log.f64 1/1000000000) (+.f64 (.f64 -12732557770792067124649954543919/20000000000000 (pow.f64 x 2)) (*.f64 478908150482392519071679818060235820987102499623/1000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 564193179035109/500000 x (log.f64 1/1000000000)) (fma.f64 -12732557770792067124649954543919/20000000000000 (.f64 x x) (.f64 478908150482392519071679818060235820987102499623/1000000000000000000000 (pow.f64 x 3))))
(fma.f64 564193179035109/500000 x (fma.f64 x (*.f64 x -12732557770792067124649954543919/20000000000000) (fma.f64 478908150482392519071679818060235820987102499623/1000000000000000000000 (pow.f64 x 3) (log.f64 1/1000000000))))
(*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))
(.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 x x)) x))
(*.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))
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(fma.f64 1/2 (/.f64 (fma.f64 -2 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (.f64 x x)) (.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x x)) x)))
(fma.f64 1/2 (/.f64 (fma.f64 -4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (.f64 (pow.f64 (exp.f64 x) x) 107865265600000/10731592879921)) (.f64 x x)) (*.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x)))
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(fma.f64 1/2 (/.f64 (fma.f64 -2 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (.f64 x x)) (fma.f64 1/6 (/.f64 (fma.f64 -517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (.f64 x x)) 3) (fma.f64 -382244388/81897775 (.f64 (exp.f64 (.f64 x x)) (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921)) (.f64 -6 (+.f64 (.f64 (exp.f64 (.f64 x x)) 1705910477000000000000/35155743162854883031) (.f64 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) -10000000/3275911))))) (pow.f64 x 3)) (fma.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 1/24 (/.f64 (fma.f64 -1528977552/81897775 (.f64 (exp.f64 (.f64 x x)) (+.f64 (.f64 (exp.f64 (.f64 x x)) 1705910477000000000000/35155743162854883031) (.f64 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) -10000000/3275911))) (fma.f64 -24 (+.f64 (.f64 (exp.f64 (.f64 x x)) -45804762450000000000000000000/115167085740371102724966241) (.f64 -10000000/3275911 (+.f64 (.f64 (exp.f64 (.f64 x x)) 1705910477000000000000/35155743162854883031) (.f64 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) -10000000/3275911)))) (fma.f64 -98834989539163346500279941619296/44987142867332462001939937890625 (pow.f64 (exp.f64 (.f64 x x)) 4) (fma.f64 -12 (pow.f64 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) 2) (.f64 -97407181438329696/6707245549950625 (.f64 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) (pow.f64 (exp.f64 (*.f64 x x)) 2))))))) (pow.f64 x 4))))))
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1/1000000000
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1
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(fma.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) (.f64 x x)) (fma.f64 1/2 (/.f64 (fma.f64 -2 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (.f64 x x)) (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x x)) x)) 1)))
(fma.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (.f64 x x)) (fma.f64 1/2 (/.f64 (fma.f64 -4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (.f64 (pow.f64 (exp.f64 x) x) 107865265600000/10731592879921)) (*.f64 x x)) (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1)))
(fma.f64 1/2 (/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 107865265600000/10731592879921 (.f64 (pow.f64 (exp.f64 x) x) -4058632559930404/6707245549950625))) (.f64 x x)) (fma.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 x) (.f64 2 x)) (*.f64 x x)) (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1)))
(+.f64 (.f64 -129282459915622549964396/1647925460758822642078125 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 3))) (+.f64 (.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)) (+.f64 (.f64 -382244388/81897775 (.f64 (exp.f64 (pow.f64 x 2)) (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (.f64 -6 (-.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))) (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (.f64 -31853699/81897775 (/.f64 (.f64 (+.f64 (.f64 -2 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (exp.f64 (pow.f64 x 2))) (pow.f64 x 3)))))))))
(fma.f64 -129282459915622549964396/1647925460758822642078125 (/.f64 (pow.f64 (exp.f64 (.f64 x x)) 3) (pow.f64 x 3)) (fma.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) (.f64 x x)) (fma.f64 1/2 (/.f64 (fma.f64 -2 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (.f64 x x)) (+.f64 1 (fma.f64 1/6 (/.f64 (fma.f64 -517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (.f64 x x)) 3) (fma.f64 -382244388/81897775 (.f64 (exp.f64 (.f64 x x)) (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921)) (.f64 -6 (+.f64 (.f64 (exp.f64 (.f64 x x)) 1705910477000000000000/35155743162854883031) (.f64 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) -10000000/3275911))))) (pow.f64 x 3)) (fma.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 -31853699/81897775 (/.f64 (fma.f64 -2 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (/.f64 (pow.f64 x 3) (exp.f64 (.f64 x x)))))))))))
(fma.f64 -129282459915622549964396/1647925460758822642078125 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (pow.f64 x 3)) (fma.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (.f64 x x)) (+.f64 (fma.f64 1/6 (/.f64 (fma.f64 -517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (fma.f64 -6 (fma.f64 (pow.f64 (exp.f64 x) x) 1705910477000000000000/35155743162854883031 (.f64 (pow.f64 (exp.f64 x) x) 539326328000000000000/35155743162854883031)) (.f64 -382244388/81897775 (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) -53932632800000/10731592879921)))) (pow.f64 x 3)) (fma.f64 -31853699/81897775 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 3) (fma.f64 -4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (.f64 (pow.f64 (exp.f64 x) x) 107865265600000/10731592879921)))) (.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x)))) (fma.f64 1/2 (/.f64 (fma.f64 -4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (.f64 (pow.f64 (exp.f64 x) x) 107865265600000/10731592879921)) (.f64 x x)) 1))))
(fma.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 x) (.f64 2 x)) (.f64 x x)) (fma.f64 -129282459915622549964396/1647925460758822642078125 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3) (+.f64 1 (fma.f64 1/2 (/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 107865265600000/10731592879921 (.f64 (pow.f64 (exp.f64 x) x) -4058632559930404/6707245549950625))) (.f64 x x)) (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 -31853699/81897775 (/.f64 (+.f64 (.f64 (pow.f64 (exp.f64 x) (.f64 2 x)) 107865265600000/10731592879921) (.f64 -4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (pow.f64 x 3)) (/.f64 (fma.f64 1/6 (fma.f64 -517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (.f64 (pow.f64 (exp.f64 x) (.f64 2 x)) 824617848714589056000/35155743162854883031)) (neg.f64 (*.f64 (pow.f64 (exp.f64 x) x) 2245236805000000000000/35155743162854883031))) (pow.f64 x 3))))))))
(fma.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 x) (.f64 2 x)) (.f64 x x)) (fma.f64 -129282459915622549964396/1647925460758822642078125 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3) (+.f64 1 (fma.f64 1/2 (/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 107865265600000/10731592879921 (.f64 (pow.f64 (exp.f64 x) x) -4058632559930404/6707245549950625))) (.f64 x x)) (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 -31853699/81897775 (/.f64 (+.f64 (.f64 (pow.f64 (exp.f64 x) (.f64 2 x)) 107865265600000/10731592879921) (.f64 -4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (pow.f64 x 3)) (/.f64 (-.f64 (.f64 1/6 (fma.f64 -517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (.f64 (pow.f64 (exp.f64 x) (.f64 2 x)) 824617848714589056000/35155743162854883031))) (.f64 (pow.f64 (exp.f64 x) x) 2245236805000000000000/35155743162854883031)) (pow.f64 x 3))))))))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 x x)) x)) 1)
(fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1)
(+.f64 (.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))))
(fma.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) (.f64 x x)) (fma.f64 1/2 (/.f64 (fma.f64 -2 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (.f64 x x)) (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x x)) x)) 1)))
(fma.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (.f64 x x)) (fma.f64 1/2 (/.f64 (fma.f64 -4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (.f64 (pow.f64 (exp.f64 x) x) 107865265600000/10731592879921)) (*.f64 x x)) (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1)))
(fma.f64 1/2 (/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 107865265600000/10731592879921 (.f64 (pow.f64 (exp.f64 x) x) -4058632559930404/6707245549950625))) (.f64 x x)) (fma.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 x) (.f64 2 x)) (*.f64 x x)) (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1)))
(+.f64 (.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 31853699/81897775 (.f64 (+.f64 (.f64 -2 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (exp.f64 (pow.f64 x 2)))) (+.f64 (.f64 129282459915622549964396/1647925460758822642078125 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)) (.f64 1/6 (+.f64 (.f64 -6 (-.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))))))) (+.f64 (.f64 382244388/81897775 (.f64 (exp.f64 (pow.f64 x 2)) (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))))))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (+.f64 1 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))))))
(fma.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) (.f64 x x)) (fma.f64 -1 (/.f64 (fma.f64 31853699/81897775 (.f64 (exp.f64 (.f64 x x)) (fma.f64 -2 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2)))) (fma.f64 129282459915622549964396/1647925460758822642078125 (pow.f64 (exp.f64 (.f64 x x)) 3) (.f64 1/6 (fma.f64 -6 (-.f64 (.f64 (exp.f64 (.f64 x x)) -1705910477000000000000/35155743162854883031) (.f64 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) -10000000/3275911)) (fma.f64 382244388/81897775 (.f64 (exp.f64 (.f64 x x)) (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921)) (.f64 (pow.f64 (exp.f64 (.f64 x x)) 3) 517129839662490199857584/549308486919607547359375)))))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (fma.f64 -2 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (.f64 x x)) (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 x x)) x)) 1))))
(fma.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (.f64 x x)) (-.f64 (fma.f64 1/2 (/.f64 (fma.f64 -4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (.f64 (pow.f64 (exp.f64 x) x) 107865265600000/10731592879921)) (.f64 x x)) (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1)) (/.f64 (fma.f64 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 -4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (.f64 (pow.f64 (exp.f64 x) x) 107865265600000/10731592879921))) 31853699/81897775 (fma.f64 1/6 (fma.f64 -6 (fma.f64 (pow.f64 (exp.f64 x) x) -1705910477000000000000/35155743162854883031 (.f64 (pow.f64 (exp.f64 x) x) -539326328000000000000/35155743162854883031)) (fma.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) 517129839662490199857584/549308486919607547359375 (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) -53932632800000/10731592879921) 382244388/81897775))) (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) 129282459915622549964396/1647925460758822642078125))) (pow.f64 x 3))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 107865265600000/10731592879921 (.f64 (pow.f64 (exp.f64 x) x) -4058632559930404/6707245549950625))) (.f64 x x)) (fma.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 x) (.f64 2 x)) (.f64 x x)) (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1))) (/.f64 (fma.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) 129282459915622549964396/1647925460758822642078125 (fma.f64 (+.f64 (.f64 (pow.f64 (exp.f64 x) (.f64 2 x)) 107865265600000/10731592879921) (.f64 -4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) 31853699/81897775 (fma.f64 1/6 (fma.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) 517129839662490199857584/549308486919607547359375 (.f64 (pow.f64 (exp.f64 x) (.f64 2 x)) -824617848714589056000/35155743162854883031)) (neg.f64 (*.f64 (pow.f64 (exp.f64 x) x) -2245236805000000000000/35155743162854883031))))) (pow.f64 x 3)))

localize141.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))
	0.8b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓	1.7b	(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)
✓	13.6b	(-.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)))

Compiler

Compiled 363 to 296 computations (18.5% saved)

series11.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(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)
3.0ms	x	@	-inf	(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)
2.0ms	x	@	0	(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)
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)) (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)) (pow.f64 (exp.f64 x) x)))

rewrite104.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

299×	`add-sqr-sqrt_binary64`
286×	`add-log-exp_binary64`
285×	`log1p-expm1-u_binary64`
285×	`expm1-log1p-u_binary64`
283×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	118
1	634	118

Stop Event

1×	node limit

Counts

2 → 65

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)) (pow.f64 (exp.f64 x) x)))

(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)

Outputs

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simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

692×	`distribute-rgt-in_binary64`
675×	`distribute-lft-in_binary64`
313×	`times-frac_binary64`
307×	`associate-/r*_binary64`
275×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	1409
1	608	1299
2	2405	1163

Stop Event

1×	node limit

Counts

89 → 72

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 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (.f64 25482959200000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (*.f64 -28449673600000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (+.f64 (.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))) (.f64 25482959200000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))))) (+.f64 (.f64 1705910477000000000000/35155743162854883031 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))) (*.f64 -28449673600000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
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(cbrt.f64 1/1000000000000000000000000000)
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1
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1
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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)))
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1
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1
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1
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(fma.f64 -1/3 (/.f64 (-.f64 (fma.f64 63707398/81897775 (.f64 (exp.f64 (.f64 x x)) (+.f64 (fma.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2) (.f64 (exp.f64 (.f64 x x)) 50965918400000/10731592879921)) (.f64 56899347200000/10731592879921 (exp.f64 (.f64 x x))))) (fma.f64 -10000000/3275911 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) (fma.f64 254829592/81897775 (.f64 (exp.f64 (.f64 x x)) (.f64 (exp.f64 (.f64 x x)) 53932632800000/10731592879921)) (.f64 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) -20000000/3275911)))) (fma.f64 -3411820954000000000000/35155743162854883031 (exp.f64 (.f64 x x)) (fma.f64 2/3 (.f64 (.f64 (exp.f64 (.f64 x x)) 191122194/81897775) (-.f64 (fma.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2) (fma.f64 25482959200000/10731592879921 (exp.f64 (.f64 x x)) (fma.f64 8117265119860808/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2) (.f64 (exp.f64 (.f64 x x)) 50965918400000/10731592879921)))) (fma.f64 -28449673600000/10731592879921 (exp.f64 (.f64 x x)) (fma.f64 1/3 (pow.f64 (.f64 (exp.f64 (.f64 x x)) 191122194/81897775) 2) (.f64 (exp.f64 (.f64 x x)) -56899347200000/10731592879921))))) (fma.f64 -1705910477000000000000/35155743162854883031 (exp.f64 (.f64 x x)) (.f64 1/27 (pow.f64 (.f64 (exp.f64 (.f64 x x)) 191122194/81897775) 3)))))) (pow.f64 x 3)) (+.f64 1 (fma.f64 1/3 (/.f64 (-.f64 (fma.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2) (fma.f64 25482959200000/10731592879921 (exp.f64 (.f64 x x)) (fma.f64 8117265119860808/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2) (.f64 (exp.f64 (.f64 x x)) 50965918400000/10731592879921)))) (fma.f64 -28449673600000/10731592879921 (exp.f64 (.f64 x x)) (fma.f64 1/3 (pow.f64 (.f64 (exp.f64 (.f64 x x)) 191122194/81897775) 2) (.f64 (exp.f64 (.f64 x x)) -56899347200000/10731592879921)))) (.f64 x x)) (.f64 -1/3 (/.f64 (.f64 (exp.f64 (.f64 x x)) 191122194/81897775) x)))))
(fma.f64 -1/3 (/.f64 (-.f64 (fma.f64 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (.f64 (pow.f64 (exp.f64 x) x) 107865265600000/10731592879921))) 63707398/81897775 (+.f64 (.f64 (pow.f64 (exp.f64 x) x) 539326328000000000000/35155743162854883031) (fma.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 53932632800000/10731592879921) 254829592/81897775 (.f64 (pow.f64 (exp.f64 x) x) 1078652656000000000000/35155743162854883031)))) (fma.f64 (pow.f64 (exp.f64 x) x) -3411820954000000000000/35155743162854883031 (fma.f64 (.f64 2/3 (-.f64 (fma.f64 4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (fma.f64 (pow.f64 (exp.f64 x) x) 25482959200000/10731592879921 (fma.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 8117265119860808/6707245549950625 (.f64 (pow.f64 (exp.f64 x) x) 50965918400000/10731592879921)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 36527693039373636/6707245549950625)) (.f64 (pow.f64 (exp.f64 x) x) -85349020800000/10731592879921)))) (.f64 (pow.f64 (exp.f64 x) x) 191122194/81897775) (fma.f64 (pow.f64 (exp.f64 x) x) -1705910477000000000000/35155743162854883031 (.f64 1/27 (pow.f64 (.f64 (pow.f64 (exp.f64 x) x) 191122194/81897775) 3)))))) (pow.f64 x 3)) (+.f64 1 (fma.f64 1/3 (/.f64 (-.f64 (fma.f64 4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (fma.f64 (pow.f64 (exp.f64 x) x) 25482959200000/10731592879921 (fma.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 8117265119860808/6707245549950625 (.f64 (pow.f64 (exp.f64 x) x) 50965918400000/10731592879921)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 36527693039373636/6707245549950625)) (.f64 (pow.f64 (exp.f64 x) x) -85349020800000/10731592879921))) (.f64 x x)) (*.f64 -1/3 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x 191122194/81897775))))))
(fma.f64 -1/3 (/.f64 (-.f64 (+.f64 (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 53932632800000/10731592879921) 254829592/81897775) (.f64 (pow.f64 (exp.f64 x) x) 1617978984000000000000/35155743162854883031)) (.f64 (pow.f64 (exp.f64 x) x) (-.f64 (.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (.f64 (pow.f64 (exp.f64 x) x) 4058632559930404/6707245549950625) 107865265600000/10731592879921)) 63707398/81897775) -3411820954000000000000/35155743162854883031))) (fma.f64 (.f64 2/3 (+.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 8117265119860808/6707245549950625) (.f64 (pow.f64 (exp.f64 x) x) 76448877600000/10731592879921)) (fma.f64 4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (+.f64 (.f64 (pow.f64 (exp.f64 x) x) 85349020800000/10731592879921) (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 36527693039373636/6707245549950625)))))) (.f64 (pow.f64 (exp.f64 x) x) 191122194/81897775) (fma.f64 1/27 (pow.f64 (.f64 (pow.f64 (exp.f64 x) x) 191122194/81897775) 3) (.f64 (pow.f64 (exp.f64 x) x) -1705910477000000000000/35155743162854883031)))) (pow.f64 x 3)) (+.f64 (.f64 (/.f64 (/.f64 1/3 x) x) (+.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 8117265119860808/6707245549950625) (.f64 (pow.f64 (exp.f64 x) x) 76448877600000/10731592879921)) (fma.f64 4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (+.f64 (.f64 (pow.f64 (exp.f64 x) x) 85349020800000/10731592879921) (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 36527693039373636/6707245549950625)))))) (fma.f64 -1/3 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 191122194/81897775) 1)))

localize339.0ms (2.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))
	0.8b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓	1.0b	(/.f64 (-.f64 1 (pow.f64 (.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 1 (+.f64 (pow.f64 (.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)) 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))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))
✓	13.1b	(-.f64 1 (pow.f64 (*.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))

Compiler

Compiled 650 to 520 computations (20% saved)

series53.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
44.0ms	x	@	0	(/.f64 (-.f64 1 (pow.f64 (.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 1 (+.f64 (pow.f64 (.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)) 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))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))
2.0ms	x	@	inf	(/.f64 (-.f64 1 (pow.f64 (.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 1 (+.f64 (pow.f64 (.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)) 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))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))
2.0ms	x	@	inf	(-.f64 1 (pow.f64 (*.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))
2.0ms	x	@	-inf	(-.f64 1 (pow.f64 (*.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))
2.0ms	x	@	-inf	(/.f64 (-.f64 1 (pow.f64 (.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 1 (+.f64 (pow.f64 (.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)) 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))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))

rewrite89.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

354×	`add-sqr-sqrt_binary64`
338×	`pow1_binary64`
337×	`add-log-exp_binary64`
336×	`log1p-expm1-u_binary64`
336×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	246
1	718	244

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs

(-.f64 1 (pow.f64 (*.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 (-.f64 1 (pow.f64 (*.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 1 (+.f64 (pow.f64 (*.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)) 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))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 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) x) (pow.f64 (*.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)) 2)))) (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 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simplify91.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

554×	`associate-l_binary64`
533×	`associate-r_binary64`
521×	`times-frac_binary64`
424×	`associate-/l*_binary64`
335×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	1297
1	520	1134
2	2077	891

Stop Event

1×	node limit

Counts

71 → 78

Calls

Call 1

Inputs
2999999997000000001/1000000000000000000000000000
(+.f64 2999999997000000001/1000000000000000000000000000 (*.f64 1692579533720167927481925537105327/500000000000000000000000000000000 x))
(+.f64 2999999997000000001/1000000000000000000000000000 (+.f64 (.f64 1692579533720167927481925537105327/500000000000000000000000000000000 x) (.f64 -196402440524967985262648381461384192554597/20000000000000000000000000000000000000000 (pow.f64 x 2))))
(+.f64 2999999997000000001/1000000000000000000000000000 (+.f64 (.f64 1692579533720167927481925537105327/500000000000000000000000000000000 x) (+.f64 (.f64 -196402440524967985262648381461384192554597/20000000000000000000000000000000000000000 (pow.f64 x 2)) (*.f64 20622125635152561397238142422553474631247001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 -258564919831245099928792/549308486919607547359375 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 3))))
(+.f64 1 (+.f64 (.f64 -258564919831245099928792/549308486919607547359375 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 3))) (.f64 -1 (/.f64 (+.f64 (.f64 8117265119860808/6707245549950625 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (.f64 4058632559930404/6707245549950625 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))))) (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 63707398/81897775 (.f64 (exp.f64 (pow.f64 x 2)) (+.f64 (.f64 127414796/81897775 (.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)))))) (exp.f64 (pow.f64 x 2)))) (pow.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) 2)))) (+.f64 (.f64 4058632559930404/6707245549950625 (.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 (exp.f64 (pow.f64 x 2)) 2))) (.f64 127414796/81897775 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) 2))))) (pow.f64 x 5))) (+.f64 (.f64 -258564919831245099928792/549308486919607547359375 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 3))) (.f64 -1 (/.f64 (+.f64 (.f64 8117265119860808/6707245549950625 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (.f64 4058632559930404/6707245549950625 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))))) (pow.f64 x 4))))))
1
(+.f64 1 (*.f64 -258564919831245099928792/549308486919607547359375 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 3))))
(+.f64 1 (+.f64 (.f64 -258564919831245099928792/549308486919607547359375 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 3))) (.f64 -1 (/.f64 (+.f64 (.f64 8117265119860808/6707245549950625 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (.f64 4058632559930404/6707245549950625 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))))) (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 4058632559930404/6707245549950625 (/.f64 (.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 (exp.f64 (pow.f64 x 2)) 2)) (pow.f64 x 5))) (+.f64 (.f64 -63707398/81897775 (/.f64 (.f64 (exp.f64 (pow.f64 x 2)) (+.f64 (pow.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) 2) (.f64 -127414796/81897775 (.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)))))) (exp.f64 (pow.f64 x 2)))))) (pow.f64 x 5))) (+.f64 (.f64 -258564919831245099928792/549308486919607547359375 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 8117265119860808/6707245549950625 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (.f64 4058632559930404/6707245549950625 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))))) (pow.f64 x 4))) (.f64 -127414796/81897775 (/.f64 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) 2)) (pow.f64 x 5))))))))
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)))
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Outputs
2999999997000000001/1000000000000000000000000000
(+.f64 2999999997000000001/1000000000000000000000000000 (*.f64 1692579533720167927481925537105327/500000000000000000000000000000000 x))
(fma.f64 1692579533720167927481925537105327/500000000000000000000000000000000 x 2999999997000000001/1000000000000000000000000000)
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1
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1
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(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 258564919831245099928792/549308486919607547359375 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)) (.f64 -10000000/3275911 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (+.f64 (.f64 -127414796/81897775 (.f64 (exp.f64 (pow.f64 x 2)) (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (+.f64 (.f64 -1705910477000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))) (+.f64 (.f64 -63707398/81897775 (.f64 (-.f64 (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))) (+.f64 (.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)) (+.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))))) (exp.f64 (pow.f64 x 2)))) (.f64 63707398/81897775 (.f64 (-.f64 (+.f64 (.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)) (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2)))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (exp.f64 (pow.f64 x 2)))))))) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (.f64 25482959200000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))))) (+.f64 (.f64 4058632559930404/6707245549950625 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 (.f64 -4058632559930404/6707245549950625 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))) (.f64 -28449673600000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (fma.f64 258564919831245099928792/549308486919607547359375 (pow.f64 (exp.f64 (.f64 x x)) 3) (.f64 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) -10000000/3275911)) (fma.f64 -127414796/81897775 (.f64 (exp.f64 (.f64 x x)) (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921)) (fma.f64 -1705910477000000000000/35155743162854883031 (exp.f64 (.f64 x x)) (fma.f64 -63707398/81897775 (.f64 (exp.f64 (.f64 x x)) (-.f64 (.f64 (exp.f64 (.f64 x x)) 25482959200000/10731592879921) (fma.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2) (fma.f64 -28449673600000/10731592879921 (exp.f64 (.f64 x x)) (.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) -4058632559930404/6707245549950625))))) (.f64 63707398/81897775 (.f64 (exp.f64 (.f64 x x)) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) 4058632559930404/6707245549950625) (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921)))))))) (pow.f64 x 3)) (+.f64 1 (fma.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 25482959200000/10731592879921 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)))))) (fma.f64 4058632559930404/6707245549950625 (/.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) (.f64 x x)) (fma.f64 -28449673600000/10731592879921 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (.f64 (/.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) (*.f64 x x)) -4058632559930404/6707245549950625))))
(-.f64 (-.f64 (+.f64 1 (fma.f64 25482959200000/10731592879921 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (/.f64 -63707398/81897775 (/.f64 x (exp.f64 (.f64 x x)))))) (/.f64 (-.f64 (fma.f64 (pow.f64 (exp.f64 (.f64 x x)) 3) 258564919831245099928792/549308486919607547359375 (.f64 (exp.f64 (.f64 x x)) 539326328000000000000/35155743162854883031)) (fma.f64 -127414796/81897775 (.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) -53932632800000/10731592879921) (fma.f64 (exp.f64 (.f64 x x)) -1705910477000000000000/35155743162854883031 (.f64 (exp.f64 (.f64 x x)) (+.f64 (.f64 -63707398/81897775 (-.f64 (.f64 (exp.f64 (.f64 x x)) 25482959200000/10731592879921) (fma.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) 4058632559930404/6707245549950625 (fma.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) -4058632559930404/6707245549950625 (.f64 (exp.f64 (.f64 x x)) -28449673600000/10731592879921))))) (.f64 63707398/81897775 (fma.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) 4058632559930404/6707245549950625 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921)))))))) (pow.f64 x 3))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) (/.f64 (.f64 x x) -28449673600000/10731592879921)) (.f64 (/.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) (*.f64 x x)) 0)))
(-.f64 (+.f64 1 (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 -63707398/81897775 (/.f64 25482959200000/10731592879921 x))) (/.f64 28449673600000/10731592879921 (/.f64 (.f64 x x) (pow.f64 (exp.f64 x) x))))) (/.f64 (fma.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) 258564919831245099928792/549308486919607547359375 (-.f64 (.f64 (pow.f64 (exp.f64 x) x) (-.f64 539326328000000000000/35155743162854883031 (.f64 (pow.f64 (exp.f64 x) x) 274872616238196352000/35155743162854883031))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1705910477000000000000/35155743162854883031 (+.f64 (+.f64 (.f64 -64938120958886464000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (.f64 63707398/81897775 (+.f64 (.f64 (pow.f64 (exp.f64 x) x) -28449673600000/10731592879921) (.f64 (pow.f64 (exp.f64 x) (.f64 2 x)) 0)))) (+.f64 (.f64 (pow.f64 (exp.f64 x) x) -137436308119098176000/35155743162854883031) (.f64 (pow.f64 (exp.f64 x) (*.f64 2 x)) 258564919831245099928792/549308486919607547359375))))))) (pow.f64 x 3)))

eval2.2s (16.4%)

Compiler: Compiled 85968 to 67572 computations (21.4% saved)

prune160.0ms (1.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	1023	7	1030
Fresh	2	1	3
Picked	1	0	1
Done	4	1	5
Total	1030	9	1039

Error

0.2b

Counts

1039 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	29.3b	1
▶	29.9b	(exp.f64 (log.f64 1/1000000000))
▶	13.7b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (/.f64 (-.f64 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
▶	30.3b	(pow.f64 (pow.f64 1/1000000000 3) 1/3)
▶	13.8b	(-.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))))))
▶	30.8b	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
✓	13.6b	(-.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))))))
	31.9b	(/.f64 (+.f64 2999999997000000001/1000000000000000000000000000 (.f64 1692579533720167927481925537105327/500000000000000000000000000000000 x)) (+.f64 1 (+.f64 (pow.f64 (.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)) 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))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))
	29.0b	1/1000000000

Compiler

Compiled 533 to 436 computations (18.2% saved)

localize159.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (-.f64 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
	0.4b	(*.f64 3275911/10000000 (fabs.f64 x))
	0.6b	(/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
✓	13.6b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (/.f64 (-.f64 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 486 to 373 computations (23.3% saved)

series15.0ms (0.1%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (/.f64 (-.f64 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
3.0ms	x	@	inf	(/.f64 (-.f64 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
2.0ms	x	@	0	(/.f64 (-.f64 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
2.0ms	x	@	inf	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (/.f64 (-.f64 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (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 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

386×	`add-sqr-sqrt_binary64`
367×	`pow1_binary64`
365×	`*-un-lft-identity_binary64`
365×	`add-log-exp_binary64`
364×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	125
1	842	121

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

Inputs

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

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

Outputs

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simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

760×	`div-sub_binary64`
563×	`fma-def_binary64`
465×	`distribute-rgt-in_binary64`
447×	`distribute-lft-in_binary64`
345×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	81	1400
1	262	1376
2	493	1352
3	1533	1352
4	7769	1316

Stop Event

1×	node limit

Counts

55 → 42

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

localize5.0ms (0%)

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)

series2.0ms (0%)

Counts

2 → 3

Calls

6 calls:

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

rewrite71.0ms (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)))))

simplify9.0ms (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)

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

rewrite77.0ms (0.6%)

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)))))

simplify6.0ms (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

localize43.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 1/1000000000 3)
✓	2.6b	(pow.f64 (pow.f64 1/1000000000 3) 1/3)

Compiler

Compiled 12 to 12 computations (0% saved)

series0.0ms (0%)

Counts: 2 → 0

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

388×	`add-sqr-sqrt_binary64`
379×	`pow1_binary64`
368×	`*-un-lft-identity_binary64`
367×	`add-log-exp_binary64`
367×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	2
1	129	2
2	981	2

Stop Event

1×	node limit

Counts

2 → 2

Calls

Call 1

Inputs
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(pow.f64 1/1000000000 3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1/1000000000)))))
((#(struct:change #<rule egg-rr> (2) ((x . 1/1000000000000000000000000000)))))

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

2 → 2

Calls

Call 1

Inputs

Outputs

localize174.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f64 3275911/10000000 (fabs.f64 x))
	0.5b	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))
	0.8b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓	13.6b	(-.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))))))

Compiler

Compiled 402 to 312 computations (22.4% saved)

series15.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

(-.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 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))))))

5.0ms

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 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))))))

2.0ms

-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 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))))))

rewrite69.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

333×	`add-sqr-sqrt_binary64`
316×	`pow1_binary64`
315×	`*-un-lft-identity_binary64`
313×	`add-log-exp_binary64`
312×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	73
1	686	59

Stop Event

1×	node limit

Counts

1 → 30

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 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

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(exp.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 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simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

413×	`distribute-rgt-neg-in_binary64`
303×	`sub-neg_binary64`
302×	`unswap-sqr_binary64`
283×	`associate-l_binary64`
274×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1470
1	440	1271
2	1174	962
3	5683	955

Stop Event

1×	node limit

Counts

42 → 50

Calls

Call 1

Inputs
(-.f64 1 (/.f64 (.f64 (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (.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))) 2))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 4760396709921597/10000000000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (.f64 3477069720320819/5000000000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x)) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) (/.f64 (.f64 (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (.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))) 2))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 4760396709921597/10000000000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (.f64 3477069720320819/5000000000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x)) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 11390570944565894491109/25000000000000000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (.f64 1686575430685116452561/6250000000000000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (/.f64 (.f64 (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (.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))) 2))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 25143126548992314471974460887/200000000000000000000000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (.f64 3275911/5000000 (-.f64 (.f64 11390570944565894491109/25000000000000000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (.f64 11390570944565894491109/100000000000000000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 3))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 4760396709921597/10000000000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (.f64 3477069720320819/5000000000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x)) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 11390570944565894491109/25000000000000000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (.f64 1686575430685116452561/6250000000000000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (/.f64 (.f64 (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (.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))) 2))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.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 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 (+.f64 1 (.f64 1453152027/327591100 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3) x)))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/327591100 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3) x))) (.f64 -251455745600000/10731592879921 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3) (pow.f64 x 2)))))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 (+.f64 1 (+.f64 (.f64 3575962885000000000000/35155743162854883031 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3) (pow.f64 x 3)))) (+.f64 (.f64 1453152027/327591100 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3) x))) (.f64 -251455745600000/10731592879921 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3) (pow.f64 x 2))))))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.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 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (.f64 1453152027/327591100 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) x)))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/327591100 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) x))) (.f64 -251455745600000/10731592879921 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) (pow.f64 x 2)))))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/327591100 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) x))) (+.f64 (.f64 -251455745600000/10731592879921 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) (pow.f64 x 2)))) (.f64 3575962885000000000000/35155743162854883031 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) (pow.f64 x 3))))))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))

Outputs
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(+.f64 1 (-.f64 (fma.f64 3575962885000000000000/35155743162854883031 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))) (fma.f64 1453152027/327591100 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 x (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))) (/.f64 (.f64 -251455745600000/10731592879921 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (.f64 (*.f64 x x) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))) (/.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 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))))))
(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 1453152027/327591100 (exp.f64 (.f64 x x))) (.f64 x (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))) (/.f64 (/.f64 -251455745600000/10731592879921 (exp.f64 (.f64 x x))) (.f64 x (.f64 x (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))) (/.f64 (/.f64 3575962885000000000000/35155743162854883031 (exp.f64 (.f64 x x))) (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)))) (-.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))))))
(+.f64 (/.f64 (/.f64 1453152027/327591100 (pow.f64 (exp.f64 x) x)) (.f64 x (pow.f64 (fma.f64 3275911/10000000 x 1) 3))) (-.f64 (+.f64 1 (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (pow.f64 (fma.f64 3275911/10000000 x 1) 3)) (+.f64 (/.f64 -251455745600000/10731592879921 (.f64 x x)) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3))))) (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 -8890523/31250000 (fma.f64 3275911/10000000 x 1)))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
(+.f64 (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (pow.f64 (fma.f64 3275911/10000000 x 1) 3)) (+.f64 (/.f64 1453152027/327591100 x) (/.f64 -251455745600000/10731592879921 (.f64 x x)))) (fma.f64 3575962885000000000000/35155743162854883031 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (pow.f64 (.f64 x (fma.f64 3275911/10000000 x 1)) 3)) 1)) (/.f64 (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))

eval415.0ms (3.1%)

Compiler: Compiled 21565 to 16393 computations (24% saved)

prune78.0ms (0.6%)

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	350	15	365
Fresh	2	1	3
Picked	0	1	1
Done	1	4	5
Total	353	21	374

Error

0.1b

Counts

374 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.2b	(-.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 1029667143/1000000000 (.f64 -2193742730720041/10000000000000000 x)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
✓	13.6b	(-.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))))))
	29.3b	1
	29.0b	1/1000000000
✓	13.7b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (/.f64 (-.f64 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
✓	30.3b	(pow.f64 (pow.f64 1/1000000000 3) 1/3)
	33.9b	(-.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 1029667143/1000000000 (.f64 x (+.f64 -2193742730720041/10000000000000000 (.f64 x (+.f64 928853844365085736173/5000000000000000000000 (.f64 x -98171347176541251569707947359/1000000000000000000000000000000)))))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
▶	32.4b	(+.f64 1 (/.f64 (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
	31.3b	(/.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))))
✓	13.8b	(-.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))))))
✓	30.8b	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
▶	30.6b	(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
	31.9b	(*.f64 (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2) (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))
	14.4b	(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) 1029667143/1000000000) (/.f64 -8890523/31250000 (fma.f64 3275911/10000000 x 1)))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
▶	61.4b	(*.f64 564193179035109/500000000000000 x)
	14.3b	(-.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 1029667143/1000000000)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
	30.2b	(pow.f64 1/1000000000000000000000000000 1/3)
▶	43.3b	(+.f64 1/1000000000 (exp.f64 (log.f64 (*.f64 564193179035109/500000000000000 x))))
	30.5b	(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
	31.6b	(.f64 (-.f64 1/1000000000000000000 (pow.f64 (.f64 564193179035109/500000000000000 x) 2)) (/.f64 1 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))
	31.7b	(pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 3)

Compiler

Compiled 815 to 671 computations (17.7% saved)

localize100.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 -2193742730720041/10000000000000000 x)
	0.4b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	0.5b	(+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1029667143/1000000000 (.f64 -2193742730720041/10000000000000000 x)))))
✓	13.6b	(-.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 1029667143/1000000000 (.f64 -2193742730720041/10000000000000000 x)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 283 to 206 computations (27.2% saved)

series12.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	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 1 (+.f64 1029667143/1000000000 (.f64 -2193742730720041/10000000000000000 x)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
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 1 (+.f64 1029667143/1000000000 (.f64 -2193742730720041/10000000000000000 x)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
3.0ms	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 1 (+.f64 1029667143/1000000000 (.f64 -2193742730720041/10000000000000000 x)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
1.0ms	x	@	-inf	(+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1029667143/1000000000 (.f64 -2193742730720041/10000000000000000 x)))))
1.0ms	x	@	inf	(+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1029667143/1000000000 (.f64 -2193742730720041/10000000000000000 x)))))

rewrite127.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

436×	`log1p-udef_binary64`
280×	`add-sqr-sqrt_binary64`
266×	`*-un-lft-identity_binary64`
266×	`pow1_binary64`
263×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	84
1	583	62
2	7967	62

Stop Event

1×	node limit

Counts

3 → 77

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 1 (+.f64 1029667143/1000000000 (*.f64 -2193742730720041/10000000000000000 x)))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

(+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (*.f64 1 (+.f64 1029667143/1000000000 (*.f64 -2193742730720041/10000000000000000 x)))))

(*.f64 -2193742730720041/10000000000000000 x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (fma.f64 x -2193742730720041/10000000000000000 1029667143/1000000000) (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 (fma.f64 x -2193742730720041/10000000000000000 1029667143/1000000000) (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 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (fma.f64 x -2193742730720041/10000000000000000 1029667143/1000000000) (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 (fma.f64 x -2193742730720041/10000000000000000 1029667143/1000000000) (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 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (fma.f64 x -2193742730720041/10000000000000000 1029667143/1000000000) (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 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (fma.f64 x -2193742730720041/10000000000000000 1029667143/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x -2193742730720041/10000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -2193742730720041/10000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -2193742730720041/10000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -2193742730720041/10000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -10557402617625867058002024150751393954221028921/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 4812507168587022318622319041681/100000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2193742730720041/10000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x -2193742730720041/10000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -10557402617625867058002024150751393954221028921/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -2193742730720041/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -2193742730720041/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -2193742730720041/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x -2193742730720041/10000000000000000)) 1))))))

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

864×	`times-frac_binary64`
377×	`associate-/l*_binary64`
346×	`associate-/r*_binary64`
283×	`fma-def_binary64`
254×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	1119
1	204	1059
2	401	981
3	1215	945
4	6248	945

Stop Event

1×	node limit

Counts

101 → 94

Calls

Call 1

Inputs
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.f64 1029667143/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (.f64 2193742730720041/10000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.f64 1029667143/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (.f64 2193742730720041/10000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.f64 1029667143/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (.f64 2193742730720041/10000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.f64 1029667143/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(.f64 2193742730720041/10000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))
(-.f64 (+.f64 1 (.f64 2193742730720041/10000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))) (/.f64 (.f64 (-.f64 (+.f64 31853699/125000000 (.f64 1029667143/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 (+.f64 1 (.f64 2193742730720041/10000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))) (/.f64 (.f64 (-.f64 (+.f64 31853699/125000000 (.f64 1029667143/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
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(.f64 2193742730720041/10000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3)))
(-.f64 (+.f64 1 (.f64 2193742730720041/10000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3)))) (/.f64 (.f64 (-.f64 (+.f64 31853699/125000000 (.f64 1029667143/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (.f64 2193742730720041/10000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3)))) (/.f64 (.f64 (-.f64 (+.f64 31853699/125000000 (.f64 1029667143/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (.f64 2193742730720041/10000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3)))) (/.f64 (.f64 (-.f64 (+.f64 31853699/125000000 (.f64 1029667143/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (.f64 1029667143/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 8890523/31250000)
(-.f64 (+.f64 (.f64 -2193742730720041/10000000000000000 (/.f64 x (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1029667143/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) 8890523/31250000)
(-.f64 (+.f64 (.f64 -2193742730720041/10000000000000000 (/.f64 x (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1029667143/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) 8890523/31250000)
(-.f64 (+.f64 (.f64 -2193742730720041/10000000000000000 (/.f64 x (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1029667143/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) 8890523/31250000)
(.f64 -2193742730720041/10000000000000000 (/.f64 x (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 (+.f64 (.f64 -2193742730720041/10000000000000000 (/.f64 x (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1029667143/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) 8890523/31250000)
(-.f64 (+.f64 (.f64 -2193742730720041/10000000000000000 (/.f64 x (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1029667143/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) 8890523/31250000)
(-.f64 (+.f64 (.f64 -2193742730720041/10000000000000000 (/.f64 x (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1029667143/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) 8890523/31250000)
(.f64 -2193742730720041/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 (.f64 1029667143/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 -2193742730720041/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) 8890523/31250000)
(-.f64 (+.f64 (.f64 1029667143/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 -2193742730720041/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) 8890523/31250000)
(-.f64 (+.f64 (.f64 1029667143/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 -2193742730720041/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) 8890523/31250000)

Outputs
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.f64 1029667143/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (-.f64 (/.f64 1029667143/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))))))
(-.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (+.f64 (/.f64 1029667143/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1029667143/1000000000 (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))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) x) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 -31853699/125000000 (/.f64 -1029667143/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)))) 1)
(fma.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) x) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (-.f64 -31853699/125000000 (/.f64 1029667143/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)))) 1)
(-.f64 (+.f64 1 (.f64 2193742730720041/10000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.f64 1029667143/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
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(fma.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) x) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 2193742730720041/10000000000000000 (/.f64 x (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 -31853699/125000000 (/.f64 -1029667143/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))))) 1)
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(-.f64 (+.f64 (.f64 -2193742730720041/10000000000000000 (/.f64 x (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1029667143/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) 8890523/31250000)
(+.f64 (fma.f64 -2193742730720041/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) -8890523/31250000)
(+.f64 (/.f64 1029667143/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 -2193742730720041/10000000000000000 (/.f64 x (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -8890523/31250000))
(+.f64 (/.f64 1029667143/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 (/.f64 -2193742730720041/10000000000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) x -8890523/31250000))
(.f64 -2193742730720041/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(/.f64 (*.f64 -2193742730720041/10000000000000000 x) (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 -2193742730720041/10000000000000000 (/.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) x))
(*.f64 -2193742730720041/10000000000000000 (/.f64 x (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(*.f64 x (/.f64 -2193742730720041/10000000000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 (+.f64 (.f64 1029667143/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 -2193742730720041/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) 8890523/31250000)
(+.f64 (fma.f64 -2193742730720041/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) -8890523/31250000)
(+.f64 (/.f64 1029667143/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 -2193742730720041/10000000000000000 (/.f64 x (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -8890523/31250000))
(+.f64 (/.f64 1029667143/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 (/.f64 -2193742730720041/10000000000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) x -8890523/31250000))
(-.f64 (+.f64 (.f64 1029667143/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 -2193742730720041/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) 8890523/31250000)
(+.f64 (fma.f64 -2193742730720041/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) -8890523/31250000)
(+.f64 (/.f64 1029667143/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 -2193742730720041/10000000000000000 (/.f64 x (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -8890523/31250000))
(+.f64 (/.f64 1029667143/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 (/.f64 -2193742730720041/10000000000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) x -8890523/31250000))
(-.f64 (+.f64 (.f64 1029667143/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 -2193742730720041/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) 8890523/31250000)
(+.f64 (fma.f64 -2193742730720041/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) -8890523/31250000)
(+.f64 (/.f64 1029667143/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 -2193742730720041/10000000000000000 (/.f64 x (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -8890523/31250000))
(+.f64 (/.f64 1029667143/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 (/.f64 -2193742730720041/10000000000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) x -8890523/31250000))

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)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (*.f64 564193179035109/500000000000000 x))
✓	0.0b	(+.f64 1/1000000000 (exp.f64 (log.f64 (*.f64 564193179035109/500000000000000 x))))
	0.2b	(*.f64 564193179035109/500000000000000 x)
✓	3.2b	(exp.f64 (log.f64 (*.f64 564193179035109/500000000000000 x)))

Compiler

Compiled 23 to 18 computations (21.7% saved)

series95.0ms (0.7%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
47.0ms	x	@	-inf	(log.f64 (*.f64 564193179035109/500000000000000 x))
39.0ms	x	@	0	(log.f64 (*.f64 564193179035109/500000000000000 x))
7.0ms	x	@	inf	(log.f64 (*.f64 564193179035109/500000000000000 x))
0.0ms	x	@	0	(exp.f64 (log.f64 (*.f64 564193179035109/500000000000000 x)))
0.0ms	x	@	inf	(exp.f64 (log.f64 (*.f64 564193179035109/500000000000000 x)))

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

739×	`pow1_binary64`
697×	`add-log-exp_binary64`
697×	`log1p-expm1-u_binary64`
697×	`expm1-log1p-u_binary64`
686×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	157	15
2	1816	15

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 564193179035109/500000000000000 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 564193179035109/500000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 564193179035109/500000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 564193179035109/500000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 564193179035109/500000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 564193179035109/500000000000000 x)) (cbrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (*.f64 564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 564193179035109/500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 564193179035109/500000000000000 x)) (sqrt.f64 (*.f64 564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 564193179035109/500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 564193179035109/500000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 564193179035109/500000000000000 (sqrt.f64 x)) (sqrt.f64 x))))) (#(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 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 564193179035109/500000000000000 x)))) (sqrt.f64 (log.f64 (*.f64 564193179035109/500000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 564193179035109/500000000000000 x))) 2)) (cbrt.f64 (log.f64 (*.f64 564193179035109/500000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)))))) (#(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 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3)))))) (#(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 -.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 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)) (+.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 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))) (/.f64 1 (+.f64 1/1000000000000000000 (-.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)) (*.f64 564193179035109/500000000000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/1000000000000000000 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))) (/.f64 1 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/1000000000000000000 (-.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)) (*.f64 564193179035109/500000000000000000000000 x))) (+.f64 1/1000000000000000000000000000 (*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x)) (-.f64 1/1000000000000000000 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/1000000000000000000000000000 (*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 1/1000000000000000000 (-.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)) (*.f64 564193179035109/500000000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/1000000000000000000000000000 (*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/1000000000000000000 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))) (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/1000000000000000000000000000 (*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3)))) (neg.f64 (+.f64 1/1000000000000000000 (-.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)) (*.f64 564193179035109/500000000000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/1000000000000000000 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)))) (neg.f64 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x 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) 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 (cbrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))) (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)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 564193179035109/500000000000000) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (log.f64 564193179035109/500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)))) (log.f64 (cbrt.f64 (*.f64 564193179035109/500000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (*.f64 564193179035109/500000000000000 x))) (log.f64 (sqrt.f64 (*.f64 564193179035109/500000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 564193179035109/500000000000000) 1) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (*.f64 564193179035109/500000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 564193179035109/500000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 564193179035109/500000000000000 x))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 564193179035109/500000000000000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 564193179035109/500000000000000 x))) 2) (cbrt.f64 (log.f64 (*.f64 564193179035109/500000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 564193179035109/500000000000000 x))) (sqrt.f64 (log.f64 (*.f64 564193179035109/500000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 564193179035109/500000000000000) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 564193179035109/500000000000000) (log.f64 564193179035109/500000000000000)) (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 564193179035109/500000000000000) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 564193179035109/500000000000000) (log.f64 564193179035109/500000000000000)) (*.f64 (log.f64 x) (log.f64 x))) (-.f64 (log.f64 564193179035109/500000000000000) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 564193179035109/500000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 564193179035109/500000000000000 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 564193179035109/500000000000000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 564193179035109/500000000000000 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 564193179035109/500000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 564193179035109/500000000000000 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 564193179035109/500000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 564193179035109/500000000000000 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 564193179035109/500000000000000 x))))))))

simplify44.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

172×	`fma-neg_binary64`
103×	`fma-def_binary64`
41×	`associate--r+_binary64`
41×	`cancel-sign-sub-inv_binary64`
41×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	232
1	39	210
2	52	210
3	102	210
4	190	210
5	319	210
6	477	210
7	654	210
8	773	210
9	795	210

Stop Event

1×

saturated

Counts

116 → 85

Calls

Call 1

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

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

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)

✓

13.8b

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite74.0ms (0.6%)

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)))))))

simplify155.0ms (1.2%)

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)

localize53.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 3275911/10000000 x 1)
✓	0.3b	(/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1))
✓	0.5b	(+.f64 1 (/.f64 (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
✓	0.6b	(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))

Compiler

Compiled 130 to 99 computations (23.8% saved)

series7.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite122.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`fma-def_binary64`
408×	`fma-neg_binary64`
370×	`log1p-udef_binary64`
369×	`expm1-udef_binary64`
217×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	66
1	438	64
2	6043	63

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))) (cbrt.f64 (/.f64 2020417023103615081/1000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 2020417023103615081/1000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 4))) (cbrt.f64 (.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 1421413741/1000000000) (fma.f64 3275911/10000000 x 1)) (/.f64 (sqrt.f64 1421413741/1000000000) (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1421413741/1000000000 (/.f64 1 (neg.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1421413741/1000000000) (fma.f64 3275911/10000000 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2871848519189792942908228021/1000000000000000000000000000 (pow.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) 2) 1000000000/1421413741) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 2020417023103615081/1000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1421413741/1000000000) (pow.f64 (fma.f64 3275911/10000000 x 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 2871848519189792942908228021/1000000000000000000000000000 (pow.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 8890523/31250000 (pow.f64 (exp.f64 x) x)) (pow.f64 (fma.f64 3275911/10000000 x 1) -2)) (-.f64 (/.f64 (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 31853699/125000000) (exp.f64 (fma.f64 x x (log1p.f64 (.f64 3275911/10000000 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 31853699/125000000)) (exp.f64 (fma.f64 x x (log1p.f64 (.f64 3275911/10000000 x)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 31853699/125000000)) (exp.f64 (fma.f64 x x (log1p.f64 (.f64 3275911/10000000 x))))))) (/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 8890523/31250000 (fma.f64 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simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

865×	`fma-def_binary64`
539×	`associate-/r*_binary64`
426×	`unswap-sqr_binary64`
322×	`associate-l_binary64`
297×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	697
1	263	667
2	696	663
3	2021	609
4	6637	609

Stop Event

1×	node limit

Counts

195 → 193

Calls

Call 1

Inputs
1421413741/1000000000
(+.f64 1421413741/1000000000 (*.f64 -4656424909693051/5000000000000000 x))
(+.f64 (.f64 45762100747012417183383/100000000000000000000000 (pow.f64 x 2)) (+.f64 1421413741/1000000000 (.f64 -4656424909693051/5000000000000000 x)))
(+.f64 (.f64 -49970856406748731529211128971/250000000000000000000000000000 (pow.f64 x 3)) (+.f64 (.f64 45762100747012417183383/100000000000000000000000 (pow.f64 x 2)) (+.f64 1421413741/1000000000 (*.f64 -4656424909693051/5000000000000000 x))))
(/.f64 142141374100000/10731592879921 (pow.f64 x 2))
(-.f64 (.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 2842827482000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 42642412230000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))) (*.f64 2842827482000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 42642412230000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 568565496400000000000000000000000000/377277123014824839498846883520551 (/.f64 1 (pow.f64 x 5))) (.f64 2842827482000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))))
(/.f64 142141374100000/10731592879921 (pow.f64 x 2))
(-.f64 (.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 2842827482000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 42642412230000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))) (*.f64 2842827482000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 42642412230000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 568565496400000000000000000000000000/377277123014824839498846883520551 (/.f64 1 (pow.f64 x 5))) (.f64 2842827482000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))))
-391746597/1000000000
(-.f64 (*.f64 12940101818784473/10000000000000000 x) 391746597/1000000000)
(-.f64 (+.f64 (.f64 12940101818784473/10000000000000000 x) (.f64 5407504021012988552457/10000000000000000000000 (pow.f64 x 2))) 391746597/1000000000)
(-.f64 (+.f64 (.f64 -412674835425129503982908202101/500000000000000000000000000000 (pow.f64 x 3)) (+.f64 (.f64 12940101818784473/10000000000000000 x) (*.f64 5407504021012988552457/10000000000000000000000 (pow.f64 x 2)))) 391746597/1000000000)
1
(-.f64 1 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (.f64 53932632800000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (.f64 53932632800000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (+.f64 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))) (.f64 2245236805000000000000/35155743162854883031 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
1
(-.f64 1 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (.f64 53932632800000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (.f64 53932632800000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (+.f64 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))) (.f64 2245236805000000000000/35155743162854883031 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
8890523/31250000
(+.f64 8890523/31250000 (*.f64 -29124562091453/312500000000000 x))
(+.f64 8890523/31250000 (+.f64 (.f64 95409473325573888683/3125000000000000000000 (pow.f64 x 2)) (.f64 -29124562091453/312500000000000 x)))
(+.f64 8890523/31250000 (+.f64 (.f64 -312552943171454083249415213/31250000000000000000000000000 (pow.f64 x 3)) (+.f64 (.f64 95409473325573888683/3125000000000000000000 (pow.f64 x 2)) (*.f64 -29124562091453/312500000000000 x))))
(/.f64 71124184/81897775 x)
(-.f64 (.f64 71124184/81897775 (/.f64 1 x)) (.f64 28449673600000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 284496736000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (*.f64 28449673600000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 284496736000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (+.f64 (.f64 2844967360000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4))) (.f64 28449673600000/10731592879921 (/.f64 1 (pow.f64 x 2)))))
(/.f64 71124184/81897775 x)
(-.f64 (.f64 71124184/81897775 (/.f64 1 x)) (.f64 28449673600000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 284496736000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (*.f64 28449673600000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 284496736000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (+.f64 (.f64 2844967360000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4))) (.f64 28449673600000/10731592879921 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 3275911/10000000 x))
(*.f64 3275911/10000000 x)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 3275911/10000000 x))
(*.f64 3275911/10000000 x)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 3275911/10000000 x))

Outputs
1421413741/1000000000
(+.f64 1421413741/1000000000 (*.f64 -4656424909693051/5000000000000000 x))
(fma.f64 -4656424909693051/5000000000000000 x 1421413741/1000000000)
(+.f64 (.f64 45762100747012417183383/100000000000000000000000 (pow.f64 x 2)) (+.f64 1421413741/1000000000 (.f64 -4656424909693051/5000000000000000 x)))
(fma.f64 45762100747012417183383/100000000000000000000000 (.f64 x x) (+.f64 1421413741/1000000000 (.f64 -4656424909693051/5000000000000000 x)))
(fma.f64 45762100747012417183383/100000000000000000000000 (*.f64 x x) (fma.f64 -4656424909693051/5000000000000000 x 1421413741/1000000000))
(fma.f64 x (fma.f64 x 45762100747012417183383/100000000000000000000000 -4656424909693051/5000000000000000) 1421413741/1000000000)
(+.f64 (.f64 -49970856406748731529211128971/250000000000000000000000000000 (pow.f64 x 3)) (+.f64 (.f64 45762100747012417183383/100000000000000000000000 (pow.f64 x 2)) (+.f64 1421413741/1000000000 (*.f64 -4656424909693051/5000000000000000 x))))
(fma.f64 -49970856406748731529211128971/250000000000000000000000000000 (pow.f64 x 3) (fma.f64 45762100747012417183383/100000000000000000000000 (.f64 x x) (+.f64 1421413741/1000000000 (.f64 -4656424909693051/5000000000000000 x))))
(fma.f64 -49970856406748731529211128971/250000000000000000000000000000 (pow.f64 x 3) (fma.f64 45762100747012417183383/100000000000000000000000 (*.f64 x x) (fma.f64 -4656424909693051/5000000000000000 x 1421413741/1000000000)))
(fma.f64 45762100747012417183383/100000000000000000000000 (*.f64 x x) (fma.f64 -49970856406748731529211128971/250000000000000000000000000000 (pow.f64 x 3) (fma.f64 -4656424909693051/5000000000000000 x 1421413741/1000000000)))
(fma.f64 (*.f64 x x) (fma.f64 x -49970856406748731529211128971/250000000000000000000000000000 45762100747012417183383/100000000000000000000000) (fma.f64 -4656424909693051/5000000000000000 x 1421413741/1000000000))
(/.f64 142141374100000/10731592879921 (pow.f64 x 2))
(/.f64 142141374100000/10731592879921 (*.f64 x x))
(-.f64 (.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 2842827482000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 142141374100000/10731592879921 (*.f64 x x)) (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3)))
(+.f64 (/.f64 142141374100000/10731592879921 (*.f64 x x)) (/.f64 -2842827482000000000000/35155743162854883031 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 42642412230000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))) (*.f64 2842827482000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 142141374100000/10731592879921 (*.f64 x x)) (-.f64 (/.f64 42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 (/.f64 42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (+.f64 (/.f64 142141374100000/10731592879921 (*.f64 x x)) (/.f64 -2842827482000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 (/.f64 142141374100000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (/.f64 -2842827482000000000000/35155743162854883031 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 42642412230000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 568565496400000000000000000000000000/377277123014824839498846883520551 (/.f64 1 (pow.f64 x 5))) (.f64 2842827482000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 142141374100000/10731592879921 (*.f64 x x)) (-.f64 (/.f64 42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (+.f64 (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 568565496400000000000000000000000000/377277123014824839498846883520551 (pow.f64 x 5)))))
(+.f64 (/.f64 42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (-.f64 (/.f64 142141374100000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 568565496400000000000000000000000000/377277123014824839498846883520551 (pow.f64 x 5)))))
(+.f64 (/.f64 142141374100000/10731592879921 (*.f64 x x)) (+.f64 (-.f64 (/.f64 42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 -568565496400000000000000000000000000/377277123014824839498846883520551 (pow.f64 x 5))))
(+.f64 (/.f64 142141374100000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (-.f64 (/.f64 -2842827482000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 568565496400000000000000000000000000/377277123014824839498846883520551 (pow.f64 x 5)))))
(/.f64 142141374100000/10731592879921 (pow.f64 x 2))
(/.f64 142141374100000/10731592879921 (*.f64 x x))
(-.f64 (.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 2842827482000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 142141374100000/10731592879921 (*.f64 x x)) (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3)))
(+.f64 (/.f64 142141374100000/10731592879921 (*.f64 x x)) (/.f64 -2842827482000000000000/35155743162854883031 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 42642412230000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))) (*.f64 2842827482000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 142141374100000/10731592879921 (*.f64 x x)) (-.f64 (/.f64 42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 (/.f64 42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (+.f64 (/.f64 142141374100000/10731592879921 (*.f64 x x)) (/.f64 -2842827482000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 (/.f64 142141374100000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (/.f64 -2842827482000000000000/35155743162854883031 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 42642412230000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 568565496400000000000000000000000000/377277123014824839498846883520551 (/.f64 1 (pow.f64 x 5))) (.f64 2842827482000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 142141374100000/10731592879921 (*.f64 x x)) (-.f64 (/.f64 42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (+.f64 (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 568565496400000000000000000000000000/377277123014824839498846883520551 (pow.f64 x 5)))))
(+.f64 (/.f64 42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (-.f64 (/.f64 142141374100000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 568565496400000000000000000000000000/377277123014824839498846883520551 (pow.f64 x 5)))))
(+.f64 (/.f64 142141374100000/10731592879921 (*.f64 x x)) (+.f64 (-.f64 (/.f64 42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 -568565496400000000000000000000000000/377277123014824839498846883520551 (pow.f64 x 5))))
(+.f64 (/.f64 142141374100000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (-.f64 (/.f64 -2842827482000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 568565496400000000000000000000000000/377277123014824839498846883520551 (pow.f64 x 5)))))
-391746597/1000000000
(-.f64 (*.f64 12940101818784473/10000000000000000 x) 391746597/1000000000)
(fma.f64 12940101818784473/10000000000000000 x -391746597/1000000000)
(fma.f64 x 12940101818784473/10000000000000000 -391746597/1000000000)
(-.f64 (+.f64 (.f64 12940101818784473/10000000000000000 x) (.f64 5407504021012988552457/10000000000000000000000 (pow.f64 x 2))) 391746597/1000000000)
(+.f64 (fma.f64 12940101818784473/10000000000000000 x (.f64 (.f64 x x) 5407504021012988552457/10000000000000000000000)) -391746597/1000000000)
(fma.f64 x 12940101818784473/10000000000000000 (fma.f64 (*.f64 x x) 5407504021012988552457/10000000000000000000000 -391746597/1000000000))
(fma.f64 x (fma.f64 x 5407504021012988552457/10000000000000000000000 12940101818784473/10000000000000000) -391746597/1000000000)
(-.f64 (+.f64 (.f64 -412674835425129503982908202101/500000000000000000000000000000 (pow.f64 x 3)) (+.f64 (.f64 12940101818784473/10000000000000000 x) (*.f64 5407504021012988552457/10000000000000000000000 (pow.f64 x 2)))) 391746597/1000000000)
(+.f64 (fma.f64 -412674835425129503982908202101/500000000000000000000000000000 (pow.f64 x 3) (fma.f64 12940101818784473/10000000000000000 x (.f64 (.f64 x x) 5407504021012988552457/10000000000000000000000))) -391746597/1000000000)
(fma.f64 (pow.f64 x 3) -412674835425129503982908202101/500000000000000000000000000000 (fma.f64 x 12940101818784473/10000000000000000 (fma.f64 (*.f64 x x) 5407504021012988552457/10000000000000000000000 -391746597/1000000000)))
(fma.f64 x 12940101818784473/10000000000000000 (fma.f64 x (*.f64 x (fma.f64 x -412674835425129503982908202101/500000000000000000000000000000 5407504021012988552457/10000000000000000000000)) -391746597/1000000000))
1
(-.f64 1 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 1 (/.f64 63707398/81897775 (.f64 x (exp.f64 (.f64 x x)))))
(-.f64 1 (/.f64 63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (/.f64 -63707398/81897775 (exp.f64 (*.f64 x x))) x))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(-.f64 (+.f64 1 (.f64 53932632800000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 1 (-.f64 (/.f64 53932632800000/10731592879921 (.f64 (.f64 x x) (exp.f64 (.f64 x x)))) (/.f64 63707398/81897775 (.f64 x (exp.f64 (*.f64 x x))))))
(+.f64 1 (+.f64 (/.f64 53932632800000/10731592879921 (.f64 x (.f64 x (pow.f64 (exp.f64 x) x)))) (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x)))))
(+.f64 1 (+.f64 (/.f64 53932632800000/10731592879921 (.f64 x (.f64 x (exp.f64 (.f64 x x))))) (/.f64 (/.f64 -63707398/81897775 (exp.f64 (.f64 x x))) x)))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 (/.f64 53932632800000/10731592879921 x) 63707398/81897775)))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 (/.f64 53932632800000/10731592879921 x) -63707398/81897775)))
(-.f64 (+.f64 1 (.f64 53932632800000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (+.f64 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))) (.f64 2245236805000000000000/35155743162854883031 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
(-.f64 (+.f64 1 (/.f64 53932632800000/10731592879921 (.f64 (.f64 x x) (exp.f64 (.f64 x x))))) (+.f64 (/.f64 63707398/81897775 (.f64 x (exp.f64 (.f64 x x)))) (/.f64 2245236805000000000000/35155743162854883031 (.f64 (pow.f64 x 3) (exp.f64 (*.f64 x x))))))
(+.f64 (+.f64 1 (/.f64 53932632800000/10731592879921 (.f64 x (.f64 x (pow.f64 (exp.f64 x) x))))) (-.f64 (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x))) (/.f64 2245236805000000000000/35155743162854883031 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) x)))))
(+.f64 1 (+.f64 (/.f64 53932632800000/10731592879921 (.f64 x (.f64 x (exp.f64 (.f64 x x))))) (+.f64 (/.f64 (/.f64 -63707398/81897775 (exp.f64 (.f64 x x))) x) (/.f64 -2245236805000000000000/35155743162854883031 (.f64 (pow.f64 x 3) (exp.f64 (.f64 x x)))))))
(+.f64 (+.f64 1 (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x)))) (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (*.f64 x x)) (-.f64 53932632800000/10731592879921 (/.f64 2245236805000000000000/35155743162854883031 x))))
1
(-.f64 1 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 1 (/.f64 63707398/81897775 (.f64 x (exp.f64 (.f64 x x)))))
(-.f64 1 (/.f64 63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (/.f64 -63707398/81897775 (exp.f64 (*.f64 x x))) x))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(-.f64 (+.f64 1 (.f64 53932632800000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 1 (-.f64 (/.f64 53932632800000/10731592879921 (.f64 (.f64 x x) (exp.f64 (.f64 x x)))) (/.f64 63707398/81897775 (.f64 x (exp.f64 (*.f64 x x))))))
(+.f64 1 (+.f64 (/.f64 53932632800000/10731592879921 (.f64 x (.f64 x (pow.f64 (exp.f64 x) x)))) (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x)))))
(+.f64 1 (+.f64 (/.f64 53932632800000/10731592879921 (.f64 x (.f64 x (exp.f64 (.f64 x x))))) (/.f64 (/.f64 -63707398/81897775 (exp.f64 (.f64 x x))) x)))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 (/.f64 53932632800000/10731592879921 x) 63707398/81897775)))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 (/.f64 53932632800000/10731592879921 x) -63707398/81897775)))
(-.f64 (+.f64 1 (.f64 53932632800000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (+.f64 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))) (.f64 2245236805000000000000/35155743162854883031 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
(-.f64 (+.f64 1 (/.f64 53932632800000/10731592879921 (.f64 (.f64 x x) (exp.f64 (.f64 x x))))) (+.f64 (/.f64 63707398/81897775 (.f64 x (exp.f64 (.f64 x x)))) (/.f64 2245236805000000000000/35155743162854883031 (.f64 (pow.f64 x 3) (exp.f64 (*.f64 x x))))))
(+.f64 (+.f64 1 (/.f64 53932632800000/10731592879921 (.f64 x (.f64 x (pow.f64 (exp.f64 x) x))))) (-.f64 (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x))) (/.f64 2245236805000000000000/35155743162854883031 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) x)))))
(+.f64 1 (+.f64 (/.f64 53932632800000/10731592879921 (.f64 x (.f64 x (exp.f64 (.f64 x x))))) (+.f64 (/.f64 (/.f64 -63707398/81897775 (exp.f64 (.f64 x x))) x) (/.f64 -2245236805000000000000/35155743162854883031 (.f64 (pow.f64 x 3) (exp.f64 (.f64 x x)))))))
(+.f64 (+.f64 1 (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x)))) (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (*.f64 x x)) (-.f64 53932632800000/10731592879921 (/.f64 2245236805000000000000/35155743162854883031 x))))
8890523/31250000
(+.f64 8890523/31250000 (*.f64 -29124562091453/312500000000000 x))
(+.f64 8890523/31250000 (*.f64 x -29124562091453/312500000000000))
(fma.f64 x -29124562091453/312500000000000 8890523/31250000)
(+.f64 8890523/31250000 (+.f64 (.f64 95409473325573888683/3125000000000000000000 (pow.f64 x 2)) (.f64 -29124562091453/312500000000000 x)))
(+.f64 8890523/31250000 (fma.f64 95409473325573888683/3125000000000000000000 (.f64 x x) (.f64 x -29124562091453/312500000000000)))
(+.f64 8890523/31250000 (fma.f64 x -29124562091453/312500000000000 (.f64 x (.f64 x 95409473325573888683/3125000000000000000000))))
(fma.f64 x -29124562091453/312500000000000 (fma.f64 (*.f64 x x) 95409473325573888683/3125000000000000000000 8890523/31250000))
(fma.f64 x (fma.f64 x 95409473325573888683/3125000000000000000000 -29124562091453/312500000000000) 8890523/31250000)
(+.f64 8890523/31250000 (+.f64 (.f64 -312552943171454083249415213/31250000000000000000000000000 (pow.f64 x 3)) (+.f64 (.f64 95409473325573888683/3125000000000000000000 (pow.f64 x 2)) (*.f64 -29124562091453/312500000000000 x))))
(+.f64 8890523/31250000 (fma.f64 -312552943171454083249415213/31250000000000000000000000000 (pow.f64 x 3) (fma.f64 95409473325573888683/3125000000000000000000 (.f64 x x) (.f64 x -29124562091453/312500000000000))))
(+.f64 8890523/31250000 (fma.f64 (pow.f64 x 3) -312552943171454083249415213/31250000000000000000000000000 (fma.f64 x -29124562091453/312500000000000 (.f64 x (.f64 x 95409473325573888683/3125000000000000000000)))))
(fma.f64 (pow.f64 x 3) -312552943171454083249415213/31250000000000000000000000000 (fma.f64 x -29124562091453/312500000000000 (fma.f64 (*.f64 x x) 95409473325573888683/3125000000000000000000 8890523/31250000)))
(fma.f64 x -29124562091453/312500000000000 (fma.f64 x (*.f64 x (fma.f64 x -312552943171454083249415213/31250000000000000000000000000 95409473325573888683/3125000000000000000000)) 8890523/31250000))
(/.f64 71124184/81897775 x)
(-.f64 (.f64 71124184/81897775 (/.f64 1 x)) (.f64 28449673600000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 71124184/81897775 x) (/.f64 28449673600000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 71124184/81897775 x) (/.f64 -28449673600000/10731592879921 (*.f64 x x)))
(-.f64 (+.f64 (.f64 284496736000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (*.f64 28449673600000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 284496736000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 71124184/81897775 x) (/.f64 28449673600000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 71124184/81897775 x) (-.f64 (/.f64 284496736000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 28449673600000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 284496736000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -28449673600000/10731592879921 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 71124184/81897775 x) (/.f64 -28449673600000/10731592879921 (*.f64 x x))) (/.f64 284496736000000000000/35155743162854883031 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 284496736000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (+.f64 (.f64 2844967360000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4))) (.f64 28449673600000/10731592879921 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 71124184/81897775 x) (/.f64 284496736000000000000/35155743162854883031 (pow.f64 x 3))) (+.f64 (/.f64 28449673600000/10731592879921 (*.f64 x x)) (/.f64 2844967360000000000000000000/115167085740371102724966241 (pow.f64 x 4))))
(+.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 284496736000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 -28449673600000/10731592879921 (*.f64 x x)) (/.f64 -2844967360000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (/.f64 71124184/81897775 x) (-.f64 (/.f64 284496736000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 28449673600000/10731592879921 (*.f64 x x)) (/.f64 2844967360000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(/.f64 71124184/81897775 x)
(-.f64 (.f64 71124184/81897775 (/.f64 1 x)) (.f64 28449673600000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 71124184/81897775 x) (/.f64 28449673600000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 71124184/81897775 x) (/.f64 -28449673600000/10731592879921 (*.f64 x x)))
(-.f64 (+.f64 (.f64 284496736000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (*.f64 28449673600000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 284496736000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 71124184/81897775 x) (/.f64 28449673600000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 71124184/81897775 x) (-.f64 (/.f64 284496736000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 28449673600000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 284496736000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -28449673600000/10731592879921 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 71124184/81897775 x) (/.f64 -28449673600000/10731592879921 (*.f64 x x))) (/.f64 284496736000000000000/35155743162854883031 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 284496736000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (+.f64 (.f64 2844967360000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4))) (.f64 28449673600000/10731592879921 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 71124184/81897775 x) (/.f64 284496736000000000000/35155743162854883031 (pow.f64 x 3))) (+.f64 (/.f64 28449673600000/10731592879921 (*.f64 x x)) (/.f64 2844967360000000000000000000/115167085740371102724966241 (pow.f64 x 4))))
(+.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 284496736000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 -28449673600000/10731592879921 (*.f64 x x)) (/.f64 -2844967360000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (/.f64 71124184/81897775 x) (-.f64 (/.f64 284496736000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 28449673600000/10731592879921 (*.f64 x x)) (/.f64 2844967360000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
1
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(*.f64 3275911/10000000 x)
(*.f64 x 3275911/10000000)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(*.f64 3275911/10000000 x)
(*.f64 x 3275911/10000000)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)

eval463.0ms (3.5%)

Compiler: Compiled 17305 to 13291 computations (23.2% saved)

prune83.0ms (0.6%)

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	534	13	547
Fresh	7	4	11
Picked	1	0	1
Done	3	6	9
Total	545	23	568

Error

0.1b

Counts

568 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	32.0b	(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
✓	13.6b	(-.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))))))
	29.0b	1/1000000000
	31.1b	(/.f64 (-.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)) 1/1000000000000000000) (-.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000))
	29.3b	1
✓	43.3b	(+.f64 1/1000000000 (exp.f64 (log.f64 (*.f64 564193179035109/500000000000000 x))))
✓	13.7b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (/.f64 (-.f64 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
	31.7b	(pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 3)
	62.5b	(fma.f64 x (fma.f64 x 5407504021012988552457/10000000000000000000000 12940101818784473/10000000000000000) -391746597/1000000000)
	33.9b	(-.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 1029667143/1000000000 (.f64 x (+.f64 -2193742730720041/10000000000000000 (.f64 x (+.f64 928853844365085736173/5000000000000000000000 (.f64 x -98171347176541251569707947359/1000000000000000000000000000000)))))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	30.5b	(+.f64 1/1000000000 (sqrt.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x))))
	62.5b	(-.f64 (+.f64 (.f64 12940101818784473/10000000000000000 x) (.f64 5407504021012988552457/10000000000000000000000 (pow.f64 x 2))) 391746597/1000000000)
	60.9b	(sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))
	31.1b	(/.f64 1 (/.f64 (+.f64 1/1000000000 (.f64 -564193179035109/500000000000000 x)) (-.f64 1/1000000000000000000 (.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)))))
✓	13.8b	(-.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))))))
✓	30.8b	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
	14.4b	(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) 1029667143/1000000000) (/.f64 -8890523/31250000 (fma.f64 3275911/10000000 x 1)))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
✓	61.4b	(*.f64 564193179035109/500000000000000 x)
	31.3b	(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
	60.9b	(sqrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2)))
	32.4b	(+.f64 1 (/.f64 (-.f64 8890523/31250000 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
	31.9b	(*.f64 (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2) (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))
	30.2b	(pow.f64 1/1000000000000000000000000000 1/3)

Compiler

Compiled 457 to 371 computations (18.8% saved)

regimes196.0ms (1.5%)

Counts

44 → 3

Calls

Call 1

Inputs
1/1000000000
1
1/1000000000
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(/.f64 (-.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)) 1/1000000000000000000) (-.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000))
(/.f64 1 (/.f64 (+.f64 1/1000000000 (.f64 -564193179035109/500000000000000 x)) (-.f64 1/1000000000000000000 (.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)))))
(pow.f64 1/1000000000000000000000000000 1/3)
(sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))
(+.f64 1/1000000000 (sqrt.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x))))
(-.f64 (+.f64 (.f64 12940101818784473/10000000000000000 x) (.f64 5407504021012988552457/10000000000000000000000 (pow.f64 x 2))) 391746597/1000000000)
(.f64 (-.f64 1/1000000000000000000 (pow.f64 (.f64 564193179035109/500000000000000 x) 2)) (/.f64 1 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(exp.f64 (log.f64 1/1000000000))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2)))
(fma.f64 x (fma.f64 x 5407504021012988552457/10000000000000000000000 12940101818784473/10000000000000000) -391746597/1000000000)
(+.f64 1/1000000000 (exp.f64 (log.f64 (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) 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))))
(pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 3)
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2) (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))
(+.f64 1 (/.f64 (-.f64 8890523/31250000 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) 1029667143/1000000000) (/.f64 -8890523/31250000 (fma.f64 3275911/10000000 x 1)))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) 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 1029667143/1000000000)))))) (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 1029667143/1000000000 (.f64 -2193742730720041/10000000000000000 x)))))))) (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 1029667143/1000000000 (.f64 x (+.f64 -2193742730720041/10000000000000000 (.f64 x (+.f64 928853844365085736173/5000000000000000000000 (.f64 x -98171347176541251569707947359/1000000000000000000000000000000)))))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 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 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 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 (+.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)))))
(log.f64 (exp.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)))))
(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 (+.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))))))))) (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 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(/.f64 (-.f64 1 (pow.f64 (.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)) 2)) (+.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))))
(/.f64 (+.f64 2999999997000000001/1000000000000000000000000000 (.f64 1692579533720167927481925537105327/500000000000000000000000000000000 x)) (+.f64 1 (+.f64 (pow.f64 (.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)) 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))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))
(/.f64 (-.f64 1 (pow.f64 (.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 1 (+.f64 (pow.f64 (.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)) 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))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))

Outputs

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

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

Calls

7 calls:

55.0ms	x
41.0ms	(fabs.f64 x)
39.0ms	(fabs.f64 x)
8.0ms	(.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)))))
7.0ms	(-.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
0.1b	3	`x`
0.1b	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))))))
0.1b	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))))))
0.1b	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)))))
0.1b	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)))))
0.1b	2	`(fabs.f64 x)`
0.1b	2	`(fabs.f64 x)`

Compiler

Compiled 1426 to 1106 computations (22.4% saved)

bsearch105.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	2.3179839018548173e-8	0.6180735205572689
53.0ms	-0.0013079059934821581	-8.683734244155602e-19

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes187.0ms (1.4%)

Counts

40 → 2

Calls

Call 1

Inputs
1/1000000000
1
1/1000000000
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(/.f64 (-.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)) 1/1000000000000000000) (-.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000))
(/.f64 1 (/.f64 (+.f64 1/1000000000 (.f64 -564193179035109/500000000000000 x)) (-.f64 1/1000000000000000000 (.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)))))
(pow.f64 1/1000000000000000000000000000 1/3)
(sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))
(+.f64 1/1000000000 (sqrt.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x))))
(-.f64 (+.f64 (.f64 12940101818784473/10000000000000000 x) (.f64 5407504021012988552457/10000000000000000000000 (pow.f64 x 2))) 391746597/1000000000)
(.f64 (-.f64 1/1000000000000000000 (pow.f64 (.f64 564193179035109/500000000000000 x) 2)) (/.f64 1 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(exp.f64 (log.f64 1/1000000000))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2)))
(fma.f64 x (fma.f64 x 5407504021012988552457/10000000000000000000000 12940101818784473/10000000000000000) -391746597/1000000000)
(+.f64 1/1000000000 (exp.f64 (log.f64 (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) 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))))
(pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 3)
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2) (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))
(+.f64 1 (/.f64 (-.f64 8890523/31250000 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) 1029667143/1000000000) (/.f64 -8890523/31250000 (fma.f64 3275911/10000000 x 1)))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) 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 1029667143/1000000000)))))) (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 1029667143/1000000000 (.f64 -2193742730720041/10000000000000000 x)))))))) (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 1029667143/1000000000 (.f64 x (+.f64 -2193742730720041/10000000000000000 (.f64 x (+.f64 928853844365085736173/5000000000000000000000 (.f64 x -98171347176541251569707947359/1000000000000000000000000000000)))))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 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 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 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 (+.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)))))
(log.f64 (exp.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)))))
(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 (+.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))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Outputs

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

Calls

7 calls:

61.0ms	x
37.0ms	(fabs.f64 x)
34.0ms	(fabs.f64 x)
8.0ms	(-.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))))))
7.0ms	(-.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
0.1b	3	`x`
0.1b	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))))))
0.1b	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))))))
0.1b	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)))))
0.1b	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)))))
0.1b	2	`(fabs.f64 x)`
0.1b	2	`(fabs.f64 x)`

Compiler

Compiled 1059 to 820 computations (22.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.3179839018548173e-8	0.0013079059934821581

Compiler

Compiled 63 to 55 computations (12.7% saved)

regimes123.0ms (0.9%)

Counts

35 → 2

Calls

Call 1

Inputs
1/1000000000
1
1/1000000000
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(/.f64 (-.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)) 1/1000000000000000000) (-.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000))
(/.f64 1 (/.f64 (+.f64 1/1000000000 (.f64 -564193179035109/500000000000000 x)) (-.f64 1/1000000000000000000 (.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)))))
(pow.f64 1/1000000000000000000000000000 1/3)
(sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))
(+.f64 1/1000000000 (sqrt.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x))))
(-.f64 (+.f64 (.f64 12940101818784473/10000000000000000 x) (.f64 5407504021012988552457/10000000000000000000000 (pow.f64 x 2))) 391746597/1000000000)
(.f64 (-.f64 1/1000000000000000000 (pow.f64 (.f64 564193179035109/500000000000000 x) 2)) (/.f64 1 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(exp.f64 (log.f64 1/1000000000))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2)))
(fma.f64 x (fma.f64 x 5407504021012988552457/10000000000000000000000 12940101818784473/10000000000000000) -391746597/1000000000)
(+.f64 1/1000000000 (exp.f64 (log.f64 (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) 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))))
(pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 3)
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2) (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))
(+.f64 1 (/.f64 (-.f64 8890523/31250000 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) 1029667143/1000000000) (/.f64 -8890523/31250000 (fma.f64 3275911/10000000 x 1)))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) 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 1029667143/1000000000)))))) (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 1029667143/1000000000 (.f64 -2193742730720041/10000000000000000 x)))))))) (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 1029667143/1000000000 (.f64 x (+.f64 -2193742730720041/10000000000000000 (.f64 x (+.f64 928853844365085736173/5000000000000000000000 (.f64 x -98171347176541251569707947359/1000000000000000000000000000000)))))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 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 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 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 (sqrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x 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))))))

Calls

3 calls:

43.0ms	x
33.0ms	(fabs.f64 x)
31.0ms	(fabs.f64 x)

Results

Error	Segments	Branch
0.2b	3	`x`
0.2b	2	`(fabs.f64 x)`
0.2b	2	`(fabs.f64 x)`

Compiler

Compiled 543 to 418 computations (23% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0013079059934821581	0.6180735205572689

Compiler

Compiled 63 to 55 computations (12.7% saved)

regimes121.0ms (0.9%)

Counts

34 → 2

Calls

Call 1

Inputs
1/1000000000
1
1/1000000000
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(/.f64 (-.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)) 1/1000000000000000000) (-.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000))
(/.f64 1 (/.f64 (+.f64 1/1000000000 (.f64 -564193179035109/500000000000000 x)) (-.f64 1/1000000000000000000 (.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)))))
(pow.f64 1/1000000000000000000000000000 1/3)
(sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))
(+.f64 1/1000000000 (sqrt.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x))))
(-.f64 (+.f64 (.f64 12940101818784473/10000000000000000 x) (.f64 5407504021012988552457/10000000000000000000000 (pow.f64 x 2))) 391746597/1000000000)
(.f64 (-.f64 1/1000000000000000000 (pow.f64 (.f64 564193179035109/500000000000000 x) 2)) (/.f64 1 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(exp.f64 (log.f64 1/1000000000))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2)))
(fma.f64 x (fma.f64 x 5407504021012988552457/10000000000000000000000 12940101818784473/10000000000000000) -391746597/1000000000)
(+.f64 1/1000000000 (exp.f64 (log.f64 (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) 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))))
(pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 3)
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2) (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))
(+.f64 1 (/.f64 (-.f64 8890523/31250000 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) 1029667143/1000000000) (/.f64 -8890523/31250000 (fma.f64 3275911/10000000 x 1)))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) 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 1029667143/1000000000)))))) (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 1029667143/1000000000 (.f64 -2193742730720041/10000000000000000 x)))))))) (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 1029667143/1000000000 (.f64 x (+.f64 -2193742730720041/10000000000000000 (.f64 x (+.f64 928853844365085736173/5000000000000000000000 (.f64 x -98171347176541251569707947359/1000000000000000000000000000000)))))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 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 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))))

Outputs

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

(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (*.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) 1029667143/1000000000) (/.f64 -8890523/31250000 (fma.f64 3275911/10000000 x 1)))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))

Calls

3 calls:

46.0ms	x
30.0ms	(fabs.f64 x)
30.0ms	(fabs.f64 x)

Results

Error	Segments	Branch
0.6b	3	`x`
0.6b	2	`(fabs.f64 x)`
0.6b	2	`(fabs.f64 x)`

Compiler

Compiled 485 to 375 computations (22.7% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0013079059934821581	0.6180735205572689

Compiler

Compiled 63 to 55 computations (12.7% saved)

regimes89.0ms (0.7%)

Counts

29 → 3

Calls

Call 1

Inputs
1/1000000000
1
1/1000000000
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(/.f64 (-.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)) 1/1000000000000000000) (-.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000))
(/.f64 1 (/.f64 (+.f64 1/1000000000 (.f64 -564193179035109/500000000000000 x)) (-.f64 1/1000000000000000000 (.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)))))
(pow.f64 1/1000000000000000000000000000 1/3)
(sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))
(+.f64 1/1000000000 (sqrt.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x))))
(-.f64 (+.f64 (.f64 12940101818784473/10000000000000000 x) (.f64 5407504021012988552457/10000000000000000000000 (pow.f64 x 2))) 391746597/1000000000)
(.f64 (-.f64 1/1000000000000000000 (pow.f64 (.f64 564193179035109/500000000000000 x) 2)) (/.f64 1 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(exp.f64 (log.f64 1/1000000000))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2)))
(fma.f64 x (fma.f64 x 5407504021012988552457/10000000000000000000000 12940101818784473/10000000000000000) -391746597/1000000000)
(+.f64 1/1000000000 (exp.f64 (log.f64 (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) 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))))
(pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 3)
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2) (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))
(+.f64 1 (/.f64 (-.f64 8890523/31250000 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))

Outputs

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

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

Calls

1 calls:

78.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 258 to 205 computations (20.5% saved)

bsearch162.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
53.0ms	0.6180735205572689	1.5419197210007654
108.0ms	-2825946.7282828824	-0.0013079059934821581

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes46.0ms (0.3%)

Counts

27 → 3

Calls

Call 1

Inputs
1/1000000000
1
1/1000000000
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(/.f64 (-.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)) 1/1000000000000000000) (-.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000))
(/.f64 1 (/.f64 (+.f64 1/1000000000 (.f64 -564193179035109/500000000000000 x)) (-.f64 1/1000000000000000000 (.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)))))
(pow.f64 1/1000000000000000000000000000 1/3)
(sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))
(+.f64 1/1000000000 (sqrt.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x))))
(-.f64 (+.f64 (.f64 12940101818784473/10000000000000000 x) (.f64 5407504021012988552457/10000000000000000000000 (pow.f64 x 2))) 391746597/1000000000)
(.f64 (-.f64 1/1000000000000000000 (pow.f64 (.f64 564193179035109/500000000000000 x) 2)) (/.f64 1 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(exp.f64 (log.f64 1/1000000000))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2)))
(fma.f64 x (fma.f64 x 5407504021012988552457/10000000000000000000000 12940101818784473/10000000000000000) -391746597/1000000000)
(+.f64 1/1000000000 (exp.f64 (log.f64 (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) 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))))
(pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 3)
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2) (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))

Outputs
1
(+.f64 1/1000000000 (sqrt.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x))))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))

Calls

1 calls:

38.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 205 to 165 computations (19.5% saved)

bsearch116.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
62.0ms	0.6180735205572689	1.5419197210007654
53.0ms	-2825946.7282828824	-0.0013079059934821581

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes59.0ms (0.4%)

Counts

21 → 3

Calls

Call 1

Inputs
1/1000000000
1
1/1000000000
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(/.f64 (-.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)) 1/1000000000000000000) (-.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000))
(/.f64 1 (/.f64 (+.f64 1/1000000000 (.f64 -564193179035109/500000000000000 x)) (-.f64 1/1000000000000000000 (.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)))))
(pow.f64 1/1000000000000000000000000000 1/3)
(sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))
(+.f64 1/1000000000 (sqrt.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x))))
(-.f64 (+.f64 (.f64 12940101818784473/10000000000000000 x) (.f64 5407504021012988552457/10000000000000000000000 (pow.f64 x 2))) 391746597/1000000000)
(.f64 (-.f64 1/1000000000000000000 (pow.f64 (.f64 564193179035109/500000000000000 x) 2)) (/.f64 1 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(exp.f64 (log.f64 1/1000000000))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2)))
(fma.f64 x (fma.f64 x 5407504021012988552457/10000000000000000000000 12940101818784473/10000000000000000) -391746597/1000000000)
(+.f64 1/1000000000 (exp.f64 (log.f64 (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))

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

Calls

1 calls:

54.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 142 to 113 computations (20.4% saved)

bsearch101.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	0.6180735205572689	1.5419197210007654
52.0ms	-2825946.7282828824	-0.0013079059934821581

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes23.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

Inputs
1/1000000000
1
1/1000000000
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(/.f64 (-.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)) 1/1000000000000000000) (-.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000))
(/.f64 1 (/.f64 (+.f64 1/1000000000 (.f64 -564193179035109/500000000000000 x)) (-.f64 1/1000000000000000000 (.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)))))
(pow.f64 1/1000000000000000000000000000 1/3)
(sqrt.f64 (.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000)))

Outputs
1
(/.f64 (-.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)) 1/1000000000000000000) (-.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000))
1

Calls

1 calls:

20.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 53 to 41 computations (22.6% saved)

bsearch104.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
52.0ms	0.6180735205572689	1.5419197210007654
52.0ms	-0.0013079059934821581	-8.683734244155602e-19

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes37.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

35.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch112.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	0.6180735205572689	1.5419197210007654
52.0ms	-0.0013079059934821581	-8.683734244155602e-19

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes17.0ms (0.1%)

Accuracy

Total -60.1b remaining (-4362.4%)

Threshold costs -60.1b (-4362.4%)

Counts

6 → 3

Calls

Call 1

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

Outputs
1
1/1000000000
1

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
1.4b	3	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch112.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
52.0ms	2.3179839018548173e-8	0.6180735205572689
59.0ms	-0.0013079059934821581	-8.683734244155602e-19

Compiler

Compiled 69 to 55 computations (20.3% saved)

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

72×	`+-commutative_binary64`
66×	`*-commutative_binary64`
53×	`sub-neg_binary64`
48×	`distribute-rgt-neg-in_binary64`
48×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	684
1	204	684
2	278	684
3	342	684
4	401	684
5	451	684
6	508	684
7	573	684
8	615	684
9	641	684
10	659	684
11	665	684
12	667	684

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -6031651783559051/4611686018427387904) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (/.f64 (-.f64 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))) (if (<=.f64 x 3502838235504189/151115727451828646838272) (+.f64 1/1000000000 (sqrt.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x 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))))))))
(if (<=.f64 (fabs.f64 x) 3022314549036573/75557863725914323419136) (+.f64 1/1000000000 (sqrt.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x 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)))))))
(if (<=.f64 (fabs.f64 x) 1152921504606847/576460752303423488) (+.f64 1/1000000000 (sqrt.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x 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)))))))
(if (<=.f64 (fabs.f64 x) 1152921504606847/576460752303423488) (+.f64 1/1000000000 (sqrt.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)))) (-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) 1029667143/1000000000) (/.f64 -8890523/31250000 (fma.f64 3275911/10000000 x 1)))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
(if (<=.f64 x -6068674389106589/2147483648) 1 (if (<=.f64 x 2783555676869287/4503599627370496) (+.f64 1/1000000000 (sqrt.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)))) (+.f64 1 (/.f64 (-.f64 8890523/31250000 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
(if (<=.f64 x -6068674389106589/2147483648) 1 (if (<=.f64 x 2783555676869287/4503599627370496) (+.f64 1/1000000000 (sqrt.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)))) (+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))))
(if (<=.f64 x -6068674389106589/2147483648) 1 (if (<=.f64 x 2783555676869287/4503599627370496) (+.f64 1/1000000000 (sqrt.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)))) 1))
(if (<=.f64 x -6031651783559051/4611686018427387904) 1 (if (<=.f64 x 2783555676869287/4503599627370496) (/.f64 (-.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)) 1/1000000000000000000) (-.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000)) 1))
(if (<=.f64 x -6031651783559051/4611686018427387904) 1 (if (<=.f64 x 2783555676869287/4503599627370496) (+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x)) 1))
(if (<=.f64 x -6031651783559051/4611686018427387904) 1 (if (<=.f64 x 3502838235504189/151115727451828646838272) 1/1000000000 1))
1/1000000000

Outputs
(if (<=.f64 x -6031651783559051/4611686018427387904) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (/.f64 (-.f64 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))) (if (<=.f64 x 3502838235504189/151115727451828646838272) (+.f64 1/1000000000 (sqrt.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x 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))))))))
(if (<=.f64 x -6031651783559051/4611686018427387904) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (/.f64 (-.f64 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1421413741/1000000000)) (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) (exp.f64 (neg.f64 (.f64 x x))))) (if (<=.f64 x 3502838235504189/151115727451828646838272) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (-.f64 1 (.f64 (exp.f64 (neg.f64 (.f64 x x))) (.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 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))))))))
(if (<=.f64 x -6031651783559051/4611686018427387904) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (/.f64 (-.f64 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1421413741/1000000000)) (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) (exp.f64 (.f64 x (neg.f64 x))))) (if (<=.f64 x 3502838235504189/151115727451828646838272) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (-.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.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 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))))))))
(if (<=.f64 x -6031651783559051/4611686018427387904) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1421413741/1000000000)) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)) -1453152027/1000000000))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (/.f64 -1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (if (<=.f64 x 3502838235504189/151115727451828646838272) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.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 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))) (/.f64 -1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))))
(if (<=.f64 x -6031651783559051/4611686018427387904) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 -31853699/125000000 (/.f64 (+.f64 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1421413741/1000000000)) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)) -1453152027/1000000000))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (if (<=.f64 x 3502838235504189/151115727451828646838272) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -31853699/125000000 (.f64 (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.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 3275911/10000000 (fabs.f64 x)))))))))))
(if (<=.f64 x -6031651783559051/4611686018427387904) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 -31853699/125000000 (/.f64 (+.f64 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1421413741/1000000000)) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)) -1453152027/1000000000))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (if (<=.f64 x 3502838235504189/151115727451828646838272) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.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 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 3275911/10000000 (fabs.f64 x)))))))))))))
(if (<=.f64 x -6031651783559051/4611686018427387904) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -31853699/125000000 (/.f64 (+.f64 (-.f64 8890523/31250000 (.f64 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)) -1453152027/1000000000)) (+.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3)) -1061405429/1000000000) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) -1421413741/1000000000))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (if (<=.f64 x 3502838235504189/151115727451828646838272) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.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 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 3275911/10000000 (fabs.f64 x)))))))))))))
(if (<=.f64 x -6031651783559051/4611686018427387904) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -31853699/125000000 (/.f64 (+.f64 (-.f64 8890523/31250000 (.f64 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)) -1453152027/1000000000)) (+.f64 (.f64 1061405429/1000000000 (/.f64 -1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) -1421413741/1000000000))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (if (<=.f64 x 3502838235504189/151115727451828646838272) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.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 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))))))))
(if (<=.f64 x -6031651783559051/4611686018427387904) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -31853699/125000000 (/.f64 (+.f64 (-.f64 8890523/31250000 (.f64 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)) -1453152027/1000000000)) (+.f64 (.f64 1061405429/1000000000 (/.f64 -1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) -1421413741/1000000000))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (if (<=.f64 x 3502838235504189/151115727451828646838272) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.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 1453152027/1000000000 (/.f64 -1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))))))))
(if (<=.f64 (fabs.f64 x) 3022314549036573/75557863725914323419136) (+.f64 1/1000000000 (sqrt.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x 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)))))))
(if (<=.f64 (fabs.f64 x) 3022314549036573/75557863725914323419136) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (-.f64 1 (.f64 (exp.f64 (neg.f64 (.f64 x x))) (.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))))))))))))
(if (<=.f64 (fabs.f64 x) 3022314549036573/75557863725914323419136) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (-.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.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))))))))))))
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(if (<=.f64 (fabs.f64 x) 1152921504606847/576460752303423488) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (-.f64 1 (.f64 (exp.f64 (neg.f64 (.f64 x x))) (.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 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))))))))))
(if (<=.f64 (fabs.f64 x) 1152921504606847/576460752303423488) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (-.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.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 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))))))))))
(if (<=.f64 (fabs.f64 x) 1152921504606847/576460752303423488) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.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 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))) (/.f64 -1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))))
(if (<=.f64 (fabs.f64 x) 1152921504606847/576460752303423488) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -31853699/125000000 (.f64 (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.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 3275911/10000000 (fabs.f64 x))))))))))
(if (<=.f64 (fabs.f64 x) 1152921504606847/576460752303423488) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.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 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 3275911/10000000 (fabs.f64 x))))))))))))
(if (<=.f64 (fabs.f64 x) 1152921504606847/576460752303423488) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.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 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))))))))))
(if (<=.f64 (fabs.f64 x) 1152921504606847/576460752303423488) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.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 1453152027/1000000000 (/.f64 -1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))))))))))
(if (<=.f64 (fabs.f64 x) 1152921504606847/576460752303423488) (+.f64 1/1000000000 (sqrt.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)))) (-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) 1029667143/1000000000) (/.f64 -8890523/31250000 (fma.f64 3275911/10000000 x 1)))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
(if (<=.f64 (fabs.f64 x) 1152921504606847/576460752303423488) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) 1029667143/1000000000) (/.f64 -8890523/31250000 (fma.f64 3275911/10000000 x 1)))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
(if (<=.f64 (fabs.f64 x) 1152921504606847/576460752303423488) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (/.f64 (-.f64 -31853699/125000000 (+.f64 (.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) 1029667143/1000000000) (/.f64 -8890523/31250000 (fma.f64 3275911/10000000 x 1)))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
(if (<=.f64 (fabs.f64 x) 1152921504606847/576460752303423488) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (+.f64 (.f64 1029667143/1000000000 (/.f64 -1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
(if (<=.f64 x -6068674389106589/2147483648) 1 (if (<=.f64 x 2783555676869287/4503599627370496) (+.f64 1/1000000000 (sqrt.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)))) (+.f64 1 (/.f64 (-.f64 8890523/31250000 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
(if (<=.f64 x -6068674389106589/2147483648) 1 (if (<=.f64 x 2783555676869287/4503599627370496) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (/.f64 (-.f64 8890523/31250000 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
(if (<=.f64 x -6068674389106589/2147483648) 1 (if (<=.f64 x 2783555676869287/4503599627370496) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (/.f64 (+.f64 8890523/31250000 (+.f64 -31853699/125000000 (/.f64 -1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
(if (<=.f64 x -6068674389106589/2147483648) 1 (if (<=.f64 x 2783555676869287/4503599627370496) (+.f64 1/1000000000 (sqrt.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)))) (+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))))
(if (<=.f64 x -6068674389106589/2147483648) 1 (if (<=.f64 x 2783555676869287/4503599627370496) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))))
(if (<=.f64 x -6068674389106589/2147483648) 1 (if (<=.f64 x 2783555676869287/4503599627370496) (+.f64 1/1000000000 (sqrt.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)))) 1))
(if (<=.f64 x -6068674389106589/2147483648) 1 (if (<=.f64 x 2783555676869287/4503599627370496) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) 1))
(if (<=.f64 x -6031651783559051/4611686018427387904) 1 (if (<=.f64 x 2783555676869287/4503599627370496) (/.f64 (-.f64 (.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x)) 1/1000000000000000000) (-.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000)) 1))
(if (<=.f64 x -6031651783559051/4611686018427387904) 1 (if (<=.f64 x 2783555676869287/4503599627370496) (/.f64 (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) -1/1000000000000000000) (+.f64 (*.f64 x 564193179035109/500000000000000) -1/1000000000)) 1))
(if (<=.f64 x -6031651783559051/4611686018427387904) 1 (if (<=.f64 x 2783555676869287/4503599627370496) (+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x)) 1))
(if (<=.f64 x -6031651783559051/4611686018427387904) 1 (if (<=.f64 x 2783555676869287/4503599627370496) (+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000)) 1))
(if (<=.f64 x -6031651783559051/4611686018427387904) 1 (if (<=.f64 x 3502838235504189/151115727451828646838272) 1/1000000000 1))
1/1000000000

Compiler

Compiled 467 to 374 computations (19.9% saved)

soundness0.0ms (0%)

end489.0ms (3.7%)

Compiler: Compiled 457 to 344 computations (24.7% saved)

Iter	Nodes	Cost
0	21	232
1	39	210
2	52	210
3	102	210
4	190	210
5	319	210
6	477	210
7	654	210
8	773	210
9	795	210

Iter	Nodes	Cost
0	125	684
1	204	684
2	278	684
3	342	684
4	401	684
5	451	684
6	508	684
7	573	684
8	615	684
9	641	684
10	659	684
11	665	684
12	667	684

Iter	Nodes	Cost
0	21	232
1	39	210
2	52	210
3	102	210
4	190	210
5	319	210
6	477	210
7	654	210
8	773	210
9	795	210

Iter	Nodes	Cost
0	125	684
1	204	684
2	278	684
3	342	684
4	401	684
5	451	684
6	508	684
7	573	684
8	615	684
9	641	684
10	659	684
11	665	684
12	667	684

Iter	Nodes	Cost
0	21	232
1	39	210
2	52	210
3	102	210
4	190	210
5	319	210
6	477	210
7	654	210
8	773	210
9	795	210

Iter	Nodes	Cost
0	125	684
1	204	684
2	278	684
3	342	684
4	401	684
5	451	684
6	508	684
7	573	684
8	615	684
9	641	684
10	659	684
11	665	684
12	667	684