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)

sample2.2s (18.7%)

Results

2.2s

8256×

body

256

valid

preprocess51.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	93
1	91	69
2	341	69
3	1054	69
4	4353	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 -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))))

Compiler

Compiled 66 to 53 computations (19.7% saved)

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	93
1	91	69
2	341	69
3	1054	69
4	4353	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 -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))))

eval3.0ms (0%)

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

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

13.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.3b	(+.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))))
▶	13.3b	(-.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 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

▶

13.3b

(+.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))))

▶

13.3b

(-.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 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 112 to 88 computations (21.4% saved)

localize156.0ms (1.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.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))))))))
	0.0b	(+.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))))))
	0.0b	(exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
	0.0b	(.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)))))
✓	0.5b	(*.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))
✓	13.2b	(-.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 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)

series35.0ms (0.3%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	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))))))
6.0ms	x	@	-inf	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
3.0ms	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))))

rewrite74.0ms (0.6%)

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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simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

611×	`div-sub_binary64`
568×	`fma-def_binary64`
470×	`distribute-rgt-in_binary64`
452×	`distribute-lft-in_binary64`
338×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	1476
1	242	1452
2	440	1428
3	1350	1428
4	6976	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)))))
(-.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)))))
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
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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)
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))

Outputs
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localize109.0ms (0.9%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(/.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)))
	0.0b	(-.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)))
	0.0b	(+.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)))
	0.0b	(pow.f64 (exp.f64 x) x)
✓	0.3b	(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
✓	0.5b	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
✓	0.8b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
✓	13.2b	(+.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))))

Compiler

Compiled 282 to 200 computations (29.1% saved)

series39.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	x	@	0	(+.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))))
7.0ms	x	@	-inf	(+.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))))
7.0ms	x	@	inf	(+.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))))
3.0ms	x	@	inf	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
1.0ms	x	@	0	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))

rewrite150.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`prod-diff_binary64`
283×	`add-sqr-sqrt_binary64`
268×	`add-log-exp_binary64`
268×	`pow1_binary64`
267×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	117
1	561	99
2	7955	99

Stop Event

1×	node limit

Counts

4 → 123

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -31853699/125000000 (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) (-.f64 (/.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))) (.f64 (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 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3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -31853699/125000000 (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) (/.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))) (.f64 (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 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egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2) (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 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simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	2521
1	622	2384
2	1762	2078
3	7488	2078

Stop Event

1×	node limit

Counts

171 → 143

Calls

Call 1

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

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

eval569.0ms (4.8%)

Compiler: Compiled 20670 to 15878 computations (23.2% saved)

prune97.0ms (0.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	295	14	309
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	296	15	311

Error

13.2b

Counts

311 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.3b	(-.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 (+.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))))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	13.5b	(exp.f64 (log1p.f64 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
▶	14.4b	(-.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)))))
	14.2b	(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))))
	13.5b	(.f64 (+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
▶	13.5b	(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 3) 1/3)
	13.4b	(-.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 (-.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (-.f64 2020417023103615081/1000000000000000000 (pow.f64 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 2))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
▶	46.0b	(+.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))))
	13.4b	(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2) (-.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
▶	13.4b	(-.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))))))
	13.5b	(fma.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (/.f64 1 (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
	14.9b	(-.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 (exp.f64 (log1p.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))) 1)))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	45.9b	(/.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))))
	14.2b	(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
✓	13.3b	(-.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 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 1773 to 1462 computations (17.5% saved)

localize201.0ms (1.7%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.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 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))))))
	0.0b	(exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
	0.0b	(.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 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))
	0.0b	(+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))
✓	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 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))))
✓	0.4b	(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
	0.5b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	13.2b	(-.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 (+.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))))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 475 to 366 computations (22.9% saved)

series35.0ms (0.3%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	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 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
7.0ms	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 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))))
4.0ms	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 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 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 (+.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))))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
3.0ms	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 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))))

rewrite79.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

348×	`add-sqr-sqrt_binary64`
330×	`pow1_binary64`
329×	`*-un-lft-identity_binary64`
328×	`add-log-exp_binary64`
327×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	153
1	709	107

Stop Event

1×	node limit

Counts

3 → 82

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 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 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 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))))

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 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 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simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

764×	`div-sub_binary64`
561×	`fma-def_binary64`
470×	`distribute-rgt-in_binary64`
452×	`distribute-lft-in_binary64`
346×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	83	1712
1	273	1688
2	504	1664
3	1512	1664
4	7509	1628

Stop Event

1×	node limit

Counts

114 → 92

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

localize109.0ms (0.9%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.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)))
	0.0b	(+.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)))
	0.0b	(*.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)))
	0.0b	(pow.f64 (exp.f64 x) x)
✓	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)))
✓	13.2b	(+.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)

series7.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite129.0ms (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	7803	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)) (exp.f64 (.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)) (exp.f64 (.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)) (exp.f64 (.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)) (exp.f64 (.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)) (exp.f64 (.f64 x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .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)) (exp.f64 (.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .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)) (exp.f64 (.f64 x x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.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)) (exp.f64 (.f64 x x)) 1)) (pow.f64 (cbrt.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)) (exp.f64 (.f64 x x)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -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)) (exp.f64 (.f64 x x)) 1)) 2) (cbrt.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)) (exp.f64 (.f64 x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.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)) (exp.f64 (.f64 x x)) 1)) (sqrt.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)) (exp.f64 (.f64 x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((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)) (exp.f64 (.f64 x x))) 3)) (/.f64 1 (+.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)) (exp.f64 (.f64 x x))) (-.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)) (exp.f64 (.f64 x x))) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((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)) (exp.f64 (.f64 x x))) 2)) (/.f64 1 (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 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1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1061405429/1000000000 (/.f64 1 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (pow.f64 (cbrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 2) (cbrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (sqrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1061405429/1000000000 (/.f64 1 (neg.f64 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) 1061405429/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1195759704082789921366768589/1000000000000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 3275911/10000000 x 1) 1000000000/1061405429) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1126581484710674041/1000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1195759704082789921366768589/1000000000000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))))))))

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

614×	`associate-*l/_binary64`
483×	`associate-*r/_binary64`
396×	`fma-def_binary64`
380×	`fma-neg_binary64`
326×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	732
1	336	702
2	1014	668
3	3646	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 (.f64 x (.f64 x -40002364818879768868679/20000000000000000000000)) (fma.f64 564193179035109/500000000000000 x 1/1000000000))
(fma.f64 564193179035109/500000000000000 x (fma.f64 x (*.f64 x -40002364818879768868679/20000000000000000000000) 1/1000000000))
(fma.f64 x (*.f64 x -40002364818879768868679/20000000000000000000000) (fma.f64 564193179035109/500000000000000 x 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 (.f64 (.f64 x x) (+.f64 -40002364818879768868679/20000000000000000000000 (*.f64 x 1881321463217960143956490654523/1000000000000000000000000000000))) (fma.f64 564193179035109/500000000000000 x 1/1000000000))
(+.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)))
(+.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1) (/.f64 (.f64 (pow.f64 (exp.f64 x) x) 53932632800000/10731592879921) (.f64 x x)))
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(-.f64 (+.f64 (/.f64 1061405429/327591100 x) (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3))) (+.f64 (/.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 -106140542900000/10731592879921 (*.f64 x x))) (-.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 10614054290000000000000000000/115167085740371102724966241 (pow.f64 x 4))))
(+.f64 (/.f64 1061405429/327591100 x) (+.f64 (+.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 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 (/.f64 1061405429/327591100 x) (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3))) (+.f64 (/.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 -106140542900000/10731592879921 (*.f64 x x))) (-.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 10614054290000000000000000000/115167085740371102724966241 (pow.f64 x 4))))
(+.f64 (/.f64 1061405429/327591100 x) (+.f64 (+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -106140542900000/10731592879921 (*.f64 x x))) (/.f64 -10614054290000000000000000000/115167085740371102724966241 (pow.f64 x 4))))

localize158.0ms (1.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.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))))))
	0.0b	(+.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))))))))
	0.0b	(exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
	0.0b	(.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)))))
	0.5b	(*.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)))
✓	13.2b	(-.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 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)

series9.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

(-.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))))))

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))))))

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))))))

rewrite54.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

333×	`add-sqr-sqrt_binary64`
316×	`*-un-lft-identity_binary64`
316×	`pow1_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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.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 1 (*.f64 (neg.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1))) (*.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 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3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (sqrt.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)))) (sqrt.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 1 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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)))) 2) (cbrt.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 *.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)))) (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)))))))) (#(struct:change #<rule egg-rr> (2) ((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 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 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simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

419×	`distribute-rgt-neg-in_binary64`
304×	`sub-neg_binary64`
302×	`unswap-sqr_binary64`
280×	`associate-l_binary64`
275×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1470
1	441	1271
2	1175	962
3	5577	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)))))
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Outputs
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(+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) x) (pow.f64 (fma.f64 3275911/10000000 x 1) 3)) (+.f64 (/.f64 1453152027/327591100 x) (/.f64 -251455745600000/10731592879921 (.f64 x x)))) (+.f64 1 (/.f64 (/.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)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 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 (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 1 (+.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 (/.f64 (/.f64 (/.f64 -251455745600000/10731592879921 (exp.f64 (.f64 x x))) (.f64 x x)) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (/.f64 (/.f64 (/.f64 3575962885000000000000/35155743162854883031 (exp.f64 (.f64 x x))) (pow.f64 x 3)) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))) (.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 1 (+.f64 (/.f64 1453152027/327591100 (.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) 3) (.f64 x (pow.f64 (exp.f64 x) x)))) (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) 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 (pow.f64 (exp.f64 (neg.f64 x)) x) (pow.f64 (fma.f64 3275911/10000000 x 1) 3)) (+.f64 (/.f64 1453152027/327591100 x) (/.f64 -251455745600000/10731592879921 (.f64 x x)))) (+.f64 (/.f64 3575962885000000000000/35155743162854883031 (.f64 (pow.f64 (.f64 x (fma.f64 3275911/10000000 x 1)) 3) (pow.f64 (exp.f64 x) x))) (+.f64 1 (/.f64 (/.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)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 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 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 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 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 1 (/.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 1 (/.f64 (/.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)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))
(-.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 1 (-.f64 (.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 (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 1 (/.f64 (/.f64 1453152027/327591100 (exp.f64 (.f64 x x))) (.f64 x (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)))) (.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 1453152027/327591100 (.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) 3) (.f64 x (pow.f64 (exp.f64 x) x)))) (-.f64 (/.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))) 1))
(+.f64 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 (-.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)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1))))
(-.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 1 (-.f64 (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 1 (+.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 (/.f64 (/.f64 -251455745600000/10731592879921 (exp.f64 (.f64 x x))) (.f64 x x)) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (.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 1 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) x) (pow.f64 (fma.f64 3275911/10000000 x 1) 3)) (+.f64 (/.f64 1453152027/327591100 x) (/.f64 -251455745600000/10731592879921 (.f64 x x)))) (/.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 (pow.f64 (exp.f64 (neg.f64 x)) x) (pow.f64 (fma.f64 3275911/10000000 x 1) 3)) (+.f64 (/.f64 1453152027/327591100 x) (/.f64 -251455745600000/10731592879921 (.f64 x x)))) (+.f64 1 (/.f64 (/.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)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1))))
(-.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)))))
(+.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 1 (+.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 (/.f64 (/.f64 (/.f64 -251455745600000/10731592879921 (exp.f64 (.f64 x x))) (.f64 x x)) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (/.f64 (/.f64 (/.f64 3575962885000000000000/35155743162854883031 (exp.f64 (.f64 x x))) (pow.f64 x 3)) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))) (.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 1 (+.f64 (/.f64 1453152027/327591100 (.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) 3) (.f64 x (pow.f64 (exp.f64 x) x)))) (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) 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 (pow.f64 (exp.f64 (neg.f64 x)) x) (pow.f64 (fma.f64 3275911/10000000 x 1) 3)) (+.f64 (/.f64 1453152027/327591100 x) (/.f64 -251455745600000/10731592879921 (.f64 x x)))) (+.f64 (/.f64 3575962885000000000000/35155743162854883031 (.f64 (pow.f64 (.f64 x (fma.f64 3275911/10000000 x 1)) 3) (pow.f64 (exp.f64 x) x))) (+.f64 1 (/.f64 (/.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)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))))

localize132.0ms (1.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.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)))
	0.0b	(/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))
	0.0b	(-.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)))
	0.0b	(pow.f64 (exp.f64 x) 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)))
✓	1.3b	(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 3) 1/3)
✓	13.2b	(+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))

Compiler

Compiled 338 to 271 computations (19.8% saved)

series15.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 3) 1/3)
3.0ms	x	@	inf	(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 3) 1/3)
3.0ms	x	@	-inf	(+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
2.0ms	x	@	-inf	(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 3) 1/3)
1.0ms	x	@	inf	(+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

301×	`add-sqr-sqrt_binary64`
288×	`add-log-exp_binary64`
287×	`log1p-expm1-u_binary64`
287×	`expm1-log1p-u_binary64`
285×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	118
1	636	118

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

Inputs

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

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

Outputs

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simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

590×	`cancel-sign-sub-inv_binary64`
582×	`div-sub_binary64`
449×	`fma-neg_binary64`
394×	`fma-def_binary64`
328×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	136	932
1	409	820
2	1312	788
3	5303	788

Stop Event

1×	node limit

Counts

97 → 67

Calls

Call 1

Inputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
1
(-.f64 1 (.f64 63707398/81897775 (/.f64 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))))))
(cbrt.f64 1/1000000000000000000000000000)
(+.f64 (.f64 564193179035109/500000000000000000000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2)) 1/3) x)) (cbrt.f64 1/1000000000000000000000000000))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 78228834697964666120173370824092672/20480000000000000000000000000000000000000000 (.f64 954941829809227672932763925643/250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 1/1000000000000000000000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2))) (+.f64 (.f64 564193179035109/500000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2)) 1/3) x)) (cbrt.f64 1/1000000000000000000000000000)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 1436724444675658595269319870008623951785001588969/1000000000000000000000000000000000000000000000000 (+.f64 (.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2))) (.f64 564193179035109/250000000000000000000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 5)) 1/3) (-.f64 78228834697964666120173370824092672/20480000000000000000000000000000000000000000 (.f64 954941829809227672932763925643/250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 1/1000000000000000000000000000)) 1/3))))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 78228834697964666120173370824092672/20480000000000000000000000000000000000000000 (.f64 954941829809227672932763925643/250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 1/1000000000000000000000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2))) (+.f64 (.f64 564193179035109/500000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2)) 1/3) x)) (cbrt.f64 1/1000000000000000000000000000))))
1
(-.f64 1 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 161797898400000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 12175897679791212/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (.f64 12175897679791212/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2)))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
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1
(-.f64 1 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
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Outputs
1/1000000000
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(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (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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(-.f64 (+.f64 (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 258564919831245099928792/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (+.f64 (.f64 -63707398/81897775 (/.f64 (+.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (exp.f64 (pow.f64 x 2)))) (.f64 -1 (+.f64 (.f64 4490473610000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 274872616238196352000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))))))) (+.f64 (.f64 2245236805000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (+.f64 (.f64 274872616238196352000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (.f64 -127414796/81897775 (/.f64 (-.f64 (+.f64 (.f64 161797898400000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 12175897679791212/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (.f64 12175897679791212/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (exp.f64 (pow.f64 x 2))))))) (pow.f64 x 3))) (+.f64 1 (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 161797898400000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 12175897679791212/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (.f64 12175897679791212/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (fma.f64 1/3 (/.f64 (+.f64 (/.f64 258564919831245099928792/549308486919607547359375 (pow.f64 (exp.f64 (.f64 x x)) 3)) (-.f64 (fma.f64 -63707398/81897775 (/.f64 (+.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (exp.f64 (.f64 x x))) (neg.f64 (+.f64 (/.f64 4490473610000000000000/35155743162854883031 (exp.f64 (.f64 x x))) (/.f64 274872616238196352000/35155743162854883031 (pow.f64 (exp.f64 (.f64 x x)) 2))))) (+.f64 (+.f64 (/.f64 2245236805000000000000/35155743162854883031 (exp.f64 (.f64 x x))) (/.f64 274872616238196352000/35155743162854883031 (pow.f64 (exp.f64 (.f64 x x)) 2))) (.f64 -127414796/81897775 (/.f64 (+.f64 (/.f64 161797898400000/10731592879921 (exp.f64 (.f64 x x))) (-.f64 (/.f64 12175897679791212/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2)) (/.f64 12175897679791212/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2)))) (exp.f64 (.f64 x x))))))) (pow.f64 x 3)) (+.f64 1 (.f64 1/3 (/.f64 (+.f64 (/.f64 161797898400000/10731592879921 (exp.f64 (.f64 x x))) (-.f64 (/.f64 12175897679791212/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2)) (/.f64 12175897679791212/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2)))) (.f64 x x))))) (/.f64 63707398/81897775 (.f64 x (exp.f64 (.f64 x x)))))
(fma.f64 1/3 (/.f64 (+.f64 (fma.f64 -63707398/81897775 (/.f64 (+.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (exp.f64 (.f64 x x))) (+.f64 (/.f64 -4490473610000000000000/35155743162854883031 (exp.f64 (.f64 x x))) (/.f64 -274872616238196352000/35155743162854883031 (pow.f64 (exp.f64 (.f64 x x)) 2)))) (-.f64 (/.f64 258564919831245099928792/549308486919607547359375 (pow.f64 (exp.f64 (.f64 x x)) 3)) (+.f64 (/.f64 2245236805000000000000/35155743162854883031 (exp.f64 (.f64 x x))) (fma.f64 -127414796/81897775 (/.f64 (+.f64 (/.f64 161797898400000/10731592879921 (exp.f64 (.f64 x x))) 0) (exp.f64 (.f64 x x))) (/.f64 274872616238196352000/35155743162854883031 (pow.f64 (exp.f64 (.f64 x x)) 2)))))) (pow.f64 x 3)) (+.f64 1 (fma.f64 1/3 (/.f64 (+.f64 (/.f64 161797898400000/10731592879921 (exp.f64 (.f64 x x))) 0) (.f64 x x)) (/.f64 -63707398/81897775 (.f64 x (exp.f64 (.f64 x x)))))))
(+.f64 (+.f64 1 (fma.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -274872616238196352000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 -258564919831245099928792/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 2))) (pow.f64 (exp.f64 x) x)) (-.f64 (+.f64 (/.f64 258564919831245099928792/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (+.f64 (/.f64 -4490473610000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 -274872616238196352000/35155743162854883031 (pow.f64 (pow.f64 (exp.f64 x) x) 2)))) (+.f64 (/.f64 274872616238196352000/35155743162854883031 (pow.f64 (pow.f64 (exp.f64 x) x) 2)) (+.f64 (/.f64 2245236805000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 (/.f64 -824617848714589056000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (pow.f64 (exp.f64 x) x)))))) (pow.f64 x 3)) (/.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (*.f64 x x)))) (/.f64 (/.f64 -63707398/81897775 (pow.f64 (exp.f64 x) x)) x))
(+.f64 1 (+.f64 (/.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (*.f64 x x)) (fma.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (+.f64 (/.f64 -274872616238196352000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 -258564919831245099928792/549308486919607547359375 (pow.f64 (exp.f64 x) (+.f64 x x)))) (pow.f64 (exp.f64 x) x)) (+.f64 (+.f64 (/.f64 258564919831245099928792/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (+.f64 (/.f64 -4490473610000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 -274872616238196352000/35155743162854883031 (pow.f64 (exp.f64 x) (+.f64 x x))))) (+.f64 (/.f64 (/.f64 824617848714589056000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (pow.f64 (exp.f64 x) x)) (fma.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) -2245236805000000000000/35155743162854883031 (/.f64 -274872616238196352000/35155743162854883031 (pow.f64 (exp.f64 x) (+.f64 x x))))))) (/.f64 (/.f64 -63707398/81897775 (pow.f64 (exp.f64 x) x)) 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 (exp.f64 (.f64 x x)))))
(+.f64 1 (/.f64 (/.f64 -63707398/81897775 (pow.f64 (exp.f64 x) x)) x))
(-.f64 (+.f64 1 (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 161797898400000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 12175897679791212/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (.f64 12175897679791212/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2)))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 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 (+.f64 1 (/.f64 (/.f64 53932632800000/10731592879921 (.f64 x x)) (exp.f64 (.f64 x x)))) (/.f64 -63707398/81897775 (.f64 x (exp.f64 (.f64 x x)))))
(+.f64 1 (+.f64 (/.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (*.f64 x x)) (/.f64 (/.f64 -63707398/81897775 (pow.f64 (exp.f64 x) x)) x)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/3 (/.f64 (-.f64 (+.f64 (.f64 549745232476392704000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (+.f64 (.f64 6735710415000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 63707398/81897775 (/.f64 (+.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (exp.f64 (pow.f64 x 2)))))) (+.f64 (.f64 127414796/81897775 (/.f64 (-.f64 (+.f64 (.f64 161797898400000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 12175897679791212/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (.f64 12175897679791212/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (exp.f64 (pow.f64 x 2)))) (.f64 258564919831245099928792/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))))) (pow.f64 x 3))) (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 161797898400000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 12175897679791212/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (.f64 12175897679791212/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 1 (-.f64 (fma.f64 -1/3 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 549745232476392704000/35155743162854883031 (pow.f64 (exp.f64 (.f64 x x)) 2)) (/.f64 6735710415000000000000/35155743162854883031 (exp.f64 (.f64 x x)))) (/.f64 (.f64 63707398/81897775 (+.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2)))) (exp.f64 (.f64 x x)))) (fma.f64 127414796/81897775 (/.f64 (+.f64 (/.f64 161797898400000/10731592879921 (exp.f64 (.f64 x x))) (-.f64 (/.f64 12175897679791212/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2)) (/.f64 12175897679791212/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2)))) (exp.f64 (.f64 x x))) (/.f64 258564919831245099928792/549308486919607547359375 (pow.f64 (exp.f64 (.f64 x x)) 3)))) (pow.f64 x 3)) (.f64 1/3 (/.f64 (+.f64 (/.f64 161797898400000/10731592879921 (exp.f64 (.f64 x x))) (-.f64 (/.f64 12175897679791212/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2)) (/.f64 12175897679791212/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2)))) (.f64 x x)))) (/.f64 63707398/81897775 (.f64 x (exp.f64 (.f64 x x))))))
(+.f64 (fma.f64 -1/3 (/.f64 (+.f64 (fma.f64 63707398/81897775 (/.f64 (+.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (exp.f64 (.f64 x x))) (/.f64 6735710415000000000000/35155743162854883031 (exp.f64 (.f64 x x)))) (-.f64 (/.f64 549745232476392704000/35155743162854883031 (pow.f64 (exp.f64 (.f64 x x)) 2)) (fma.f64 (/.f64 (+.f64 (/.f64 161797898400000/10731592879921 (exp.f64 (.f64 x x))) 0) (exp.f64 (.f64 x x))) 127414796/81897775 (/.f64 258564919831245099928792/549308486919607547359375 (pow.f64 (exp.f64 (.f64 x x)) 3))))) (pow.f64 x 3)) (.f64 1/3 (/.f64 (+.f64 (/.f64 161797898400000/10731592879921 (exp.f64 (.f64 x x))) 0) (.f64 x x)))) (+.f64 1 (/.f64 -63707398/81897775 (.f64 x (exp.f64 (*.f64 x x))))))
(+.f64 (fma.f64 -1/3 (/.f64 (+.f64 (/.f64 (/.f64 -824617848714589056000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 -258564919831245099928792/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (+.f64 (/.f64 (+.f64 (/.f64 258564919831245099928792/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 2)) (/.f64 274872616238196352000/35155743162854883031 (pow.f64 (exp.f64 x) x))) (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 549745232476392704000/35155743162854883031 (pow.f64 (pow.f64 (exp.f64 x) x) 2)) (/.f64 6735710415000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)))))) (pow.f64 x 3)) (/.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (*.f64 x x))) (+.f64 1 (/.f64 (/.f64 -63707398/81897775 (pow.f64 (exp.f64 x) x)) x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (*.f64 x x)) (fma.f64 (/.f64 -1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -824617848714589056000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 -258564919831245099928792/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (+.f64 (/.f64 (+.f64 (/.f64 258564919831245099928792/549308486919607547359375 (pow.f64 (exp.f64 x) (+.f64 x x))) (/.f64 274872616238196352000/35155743162854883031 (pow.f64 (exp.f64 x) x))) (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 549745232476392704000/35155743162854883031 (pow.f64 (exp.f64 x) (+.f64 x x))) (/.f64 6735710415000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)))))) (/.f64 (/.f64 -63707398/81897775 (pow.f64 (exp.f64 x) x)) x))))

localize165.0ms (1.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(.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))))))))
	0.0b	(+.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)))))
	0.0b	(exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))
	0.0b	(+.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))))
	0.4b	(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
	0.5b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	0.5b	(-.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)))))))
✓	13.2b	(-.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)))))

Compiler

Compiled 463 to 375 computations (19% saved)

series10.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(-.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)))))
2.0ms	x	@	0	(-.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)))))
1.0ms	x	@	-inf	(-.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)))))
0.0ms	x	@	0	(-.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)))))))
0.0ms	x	@	inf	(-.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)))))))

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

400×	`add-sqr-sqrt_binary64`
382×	`pow1_binary64`
380×	`add-log-exp_binary64`
379×	`log1p-expm1-u_binary64`
379×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	150
1	841	132

Stop Event

1×	node limit

Counts

2 → 44

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 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 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)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (+.f64 31853699/125000000 (-.f64 (fma.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))) (fma.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)))))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (+.f64 31853699/125000000 (-.f64 (fma.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))) (fma.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) -3) (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 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(fabs.f64 x) 3275911/10000000 1)))))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (+.f64 31853699/125000000 (-.f64 (fma.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))) (fma.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)))))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (+.f64 31853699/125000000 (-.f64 (fma.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))) (fma.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)))))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (+.f64 31853699/125000000 (-.f64 (fma.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))) (fma.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)))))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (+.f64 31853699/125000000 (-.f64 (fma.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))) (fma.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 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x) 3275911/10000000 1)))))))))

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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 31853699/125000000 (-.f64 (fma.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))) (fma.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))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 31853699/125000000 (fma.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)))) (neg.f64 (fma.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 31853699/125000000 (fma.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))))) 2) (cbrt.f64 (+.f64 31853699/125000000 (fma.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))))) (neg.f64 (fma.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 31853699/125000000 (fma.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))))) (sqrt.f64 (+.f64 31853699/125000000 (fma.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))))) (neg.f64 (fma.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 31853699/125000000 (-.f64 (fma.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))) (fma.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 31853699/125000000 (-.f64 (fma.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))) (fma.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 31853699/125000000 (-.f64 (fma.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))) (fma.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)))))))))))

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

722×	`fma-neg_binary64`
608×	`div-sub_binary64`
468×	`distribute-rgt-in_binary64`
450×	`distribute-lft-in_binary64`
442×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	1120
1	155	1104
2	333	1088
3	1185	1088
4	6451	1088

Stop Event

1×	node limit

Counts

60 → 50

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

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

eval1.6s (13.3%)

Compiler: Compiled 51290 to 40343 computations (21.3% saved)

prune130.0ms (1.1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	808	16	824
Fresh	9	0	9
Picked	1	0	1
Done	4	1	5
Total	822	17	839

Error

0.3b

Counts

839 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	31.5b	(pow.f64 (pow.f64 1/1000000000 3) 1/3)
▶	13.3b	(-.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 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)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
	32.8b	(+.f64 1/1000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x (+.f64 -40002364818879768868679/20000000000000000000000 (*.f64 x 1881321463217960143956490654523/1000000000000000000000000000000))))))
	14.1b	(-.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))))
✓	13.3b	(-.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 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))))))
	15.5b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1421413741/1000000000 (/.f64 -195873299/500000000 (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
	31.5b	(pow.f64 (pow.f64 (+.f64 1 (/.f64 (/.f64 -63707398/81897775 (pow.f64 (exp.f64 x) x)) x)) 3) 1/3)
	14.0b	(-.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))))))
▶	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 1029667143/1000000000 (.f64 -2193742730720041/10000000000000000 x)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	34.0b	(pow.f64 (pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 3) 1/3)
▶	32.1b	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
	30.2b	1/1000000000
▶	34.2b	(pow.f64 (pow.f64 (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x))) 3) 1/3)
▶	31.4b	(+.f64 1 (/.f64 (/.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)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))
	13.5b	(+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
	14.0b	(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (+.f64 (fma.f64 1 (+.f64 31853699/125000000 (fma.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)))) (neg.f64 (.f64 (cbrt.f64 (fma.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)))) (pow.f64 (cbrt.f64 (fma.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)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.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))))) (pow.f64 (cbrt.f64 (fma.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)))) 2) (.f64 (cbrt.f64 (fma.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)))) (pow.f64 (cbrt.f64 (fma.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)))) 2))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
	28.4b	1

Compiler

Compiled 1161 to 942 computations (18.9% saved)

localize155.0ms (1.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.f64 31853699/125000000 (/.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)))))
	0.0b	(+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))
	0.0b	(exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
	0.0b	(.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 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)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))))
✓	0.3b	(/.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))))
	0.4b	(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
	0.5b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	13.2b	(-.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 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)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 472 to 363 computations (23.1% saved)

series12.0ms (0.1%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	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 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)))))) (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 (+.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)))))) (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 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)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
1.0ms	x	@	0	(/.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))))
1.0ms	x	@	inf	(/.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))))

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

378×	`add-sqr-sqrt_binary64`
359×	`pow1_binary64`
357×	`*-un-lft-identity_binary64`
357×	`add-log-exp_binary64`
356×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	143
1	783	103

Stop Event

1×	node limit

Counts

2 → 37

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

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

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

567×	`fma-def_binary64`
497×	`distribute-rgt-in_binary64`
469×	`distribute-lft-in_binary64`
358×	`times-frac_binary64`
348×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	81	1400
1	266	1376
2	511	1352
3	1630	1352

Stop Event

1×	node limit

Counts

57 → 44

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

Outputs
(-.f64 1 (/.f64 (.f64 (-.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 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 1453152027/1000000000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (+.f64 31853699/125000000 (+.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 (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 3275911/10000000 (fabs.f64 x) 1)) (+.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 31853699/125000000 (+.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 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (+.f64 (+.f64 (+.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 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))) 31853699/125000000)) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (pow.f64 (exp.f64 x) x))))
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(-.f64 (/.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)) 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 (+.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)) -8890523/31250000)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))
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(/.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 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 3275911/10000000 (fabs.f64 x) 1) 3)) (-.f64 (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 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 (+.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)) -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 3275911/10000000 (fabs.f64 x) 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -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 (-.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 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 3275911/10000000 (fabs.f64 x) 1) 3)) (-.f64 (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 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 (+.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)) -8890523/31250000)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))
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(-.f64 (/.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)) 8890523/31250000)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)))
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(/.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 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 3275911/10000000 (fabs.f64 x) 1) 3)) (-.f64 (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 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 (+.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)) -8890523/31250000)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))
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localize5.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series5.0ms (0%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(*.f64 564193179035109/500000000000000 x)
1.0ms	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))

rewrite50.0ms (0.4%)

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	1605	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 (pow.f64 (*.f64 564193179035109/500000000000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))))) (#(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 (pow.f64 (*.f64 564193179035109/500000000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.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 expm1.f64 (log1p.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 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (+.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 (pow.f64 (*.f64 564193179035109/500000000000000 x) 3)) (/.f64 1 (+.f64 1/1000000000000000000 (-.f64 (*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (*.f64 564193179035109/500000000000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/1000000000000000000 (*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)) (/.f64 1 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/1000000000000000000 (-.f64 (*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (*.f64 564193179035109/500000000000000000000000 x))) (+.f64 1/1000000000000000000000000000 (pow.f64 (*.f64 564193179035109/500000000000000 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x)) (-.f64 1/1000000000000000000 (*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/1000000000000000000000000000 (pow.f64 (*.f64 564193179035109/500000000000000 x) 3)) (+.f64 1/1000000000000000000 (-.f64 (*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (*.f64 564193179035109/500000000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/1000000000000000000000000000 (pow.f64 (*.f64 564193179035109/500000000000000 x) 3)) (+.f64 (*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/1000000000000000000 (*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)) (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/1000000000000000000000000000 (pow.f64 (*.f64 564193179035109/500000000000000 x) 3))) (neg.f64 (+.f64 1/1000000000000000000 (-.f64 (*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (*.f64 564193179035109/500000000000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/1000000000000000000 (*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (neg.f64 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) 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 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)))) (#(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 log1p.f64 (expm1.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))))

simplify7.0ms (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)

localize31.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(*.f64 564193179035109/500000000000000 x)
	0.2b	(*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2))
	0.0b	(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
	0.0b	(+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x))
✓	0.2b	(*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2))
	0.2b	(*.f64 564193179035109/500000000000000 x)
✓	0.5b	(pow.f64 (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x))) 3)
✓	23.2b	(pow.f64 (pow.f64 (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x))) 3) 1/3)

Compiler

Compiled 67 to 55 computations (17.9% saved)

series10.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(pow.f64 (pow.f64 (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x))) 3) 1/3)
2.0ms	x	@	-inf	(pow.f64 (pow.f64 (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x))) 3) 1/3)
1.0ms	x	@	0	(pow.f64 (pow.f64 (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x))) 3) 1/3)
1.0ms	x	@	0	(*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2))
1.0ms	x	@	inf	(pow.f64 (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x))) 3)

rewrite77.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`log-prod_binary64`
422×	`fma-def_binary64`
358×	`pow2_binary64`
249×	`expm1-udef_binary64`
249×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	346	38
2	3839	34

Stop Event

1×	node limit

Counts

3 → 131

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/1000000000 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 x 564193179035109/500000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x)) (fma.f64 x 564193179035109/500000000000000 1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 564193179035109/500000000000000) (fma.f64 x (*.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 x 564193179035109/500000000000000)) 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000) (*.f64 x 564193179035109/500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (fma.f64 x 564193179035109/500000000000000 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 x (*.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000) 1) (*.f64 x 564193179035109/500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000)) (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (fma.f64 x 564193179035109/500000000000000 1/1000000000)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (fma.f64 x 564193179035109/500000000000000 1/1000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (fma.f64 x 564193179035109/500000000000000 1/1000000000))))) (log.f64 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564193179035109/500000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (fma.f64 x 564193179035109/500000000000000 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 x 564193179035109/500000000000000)) (-.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 x 564193179035109/500000000000000)) 1/1000000000) 1/1000000000000000000) (+.f64 1/1000000000000000000000000000 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 x 564193179035109/500000000000000)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1/1000000000 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 x 564193179035109/500000000000000))) (-.f64 1/1000000000000000000 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 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x 564193179035109/500000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/1000000000000000000 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 x 564193179035109/500000000000000)) 2)) (-.f64 1/1000000000 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 x 564193179035109/500000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/1000000000000000000000000000 (pow.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 x 564193179035109/500000000000000)) 3))) (neg.f64 (fma.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 x 564193179035109/500000000000000)) (-.f64 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 x 564193179035109/500000000000000)) 1/1000000000) 1/1000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/1000000000000000000 (pow.f64 (fma.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2364858879768868679/20000000000000000000000) (*.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2364858879768868679/20000000000000000000000) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2364858879768868679/20000000000000000000000) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2364858879768868679/20000000000000000000000) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 5592557521221668486227460727547205041/400000000000000000000000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -2364858879768868679/20000000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 5592557521221668486227460727547205041/400000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2364858879768868679/20000000000000000000000) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x))))))))

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

727×	`cancel-sign-sub-inv_binary64`
435×	`fma-def_binary64`
341×	`div-sub_binary64`
340×	`distribute-rgt-neg-in_binary64`
317×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	757
1	320	737
2	1047	722
3	4547	709

Stop Event

1×	node limit

Counts

155 → 162

Calls

Call 1

Inputs
(cbrt.f64 1/1000000000000000000000000000)
(+.f64 (.f64 564193179035109/500000000000000000000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2)) 1/3) x)) (cbrt.f64 1/1000000000000000000000000000))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 78228834697964666120173370824092672/20480000000000000000000000000000000000000000 (.f64 954941829809227672932763925643/250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 1/1000000000000000000000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2))) (+.f64 (.f64 564193179035109/500000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2)) 1/3) x)) (cbrt.f64 1/1000000000000000000000000000)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 78228834697964666120173370824092672/20480000000000000000000000000000000000000000 (.f64 954941829809227672932763925643/250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 1/1000000000000000000000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2))) (+.f64 (.f64 564193179035109/500000000000000000000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2)) 1/3) x)) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 7183622223378292981978368143880257599577648127/5000000000000000000000000000000000000000000000 (+.f64 (.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2))) (.f64 564193179035109/250000000000000000000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 5)) 1/3) (-.f64 78228834697964666120173370824092672/20480000000000000000000000000000000000000000 (*.f64 954941829809227672932763925643/250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 1/1000000000000000000000000000)) 1/3))))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2))) (cbrt.f64 1/1000000000000000000000000000))))
(*.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 x 2))
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(+.f64 (.f64 -1/3 (/.f64 (+.f64 180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000 (.f64 29867428773321165979918006367734459105636601258107170989534582092827248069591427882546897651916414835883/40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000)) 1/3))) (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 2))) (+.f64 (.f64 1/3 (/.f64 (-.f64 7183622223378292981978368143880257599577648127/5000000000000000000000000000000000000000000000 (+.f64 (.f64 31413394830940715783507915936191424679791376262532091193378025267100711852512214625352313210924848507012998151077748329770277421634122158818831193723433709/8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 2))) (.f64 -3155282806834762208941360343855470403330070160784469/100000000000000000000000000000000000000000000000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 5)) 1/3) (+.f64 180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000 (.f64 29867428773321165979918006367734459105636601258107170989534582092827248069591427882546897651916414835883/40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000)) 1/3))))))) (.f64 (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 2) x))) (+.f64 (.f64 3155282806834762208941360343855470403330070160784469/200000000000000000000000000000000000000000000000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 2)) 1/3) x)) (*.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 x 2)))))
(*.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 x 2))
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(+.f64 (.f64 -1/3 (/.f64 (+.f64 180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000 (.f64 29867428773321165979918006367734459105636601258107170989534582092827248069591427882546897651916414835883/40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000)) 1/3))) (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 2))) (+.f64 (.f64 3155282806834762208941360343855470403330070160784469/200000000000000000000000000000000000000000000000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 2)) 1/3) x)) (*.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 x 2))))
(+.f64 (.f64 -1/3 (/.f64 (+.f64 180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000 (.f64 29867428773321165979918006367734459105636601258107170989534582092827248069591427882546897651916414835883/40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000)) 1/3))) (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 2))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (.f64 31413394830940715783507915936191424679791376262532091193378025267100711852512214625352313210924848507012998151077748329770277421634122158818831193723433709/8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 2))) (+.f64 7183622223378292981978368143880257599577648127/5000000000000000000000000000000000000000000000 (.f64 3155282806834762208941360343855470403330070160784469/100000000000000000000000000000000000000000000000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 5)) 1/3) (+.f64 180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000 (.f64 29867428773321165979918006367734459105636601258107170989534582092827248069591427882546897651916414835883/40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000)) 1/3))))))) (.f64 (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 2) x))) (+.f64 (.f64 3155282806834762208941360343855470403330070160784469/200000000000000000000000000000000000000000000000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 2)) 1/3) x)) (*.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 x 2)))))
1/1000000000000000000000000000
(+.f64 (*.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) 1/1000000000000000000000000000)
(+.f64 (.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) (+.f64 1/1000000000000000000000000000 (.f64 78228834697964666120173370824092672/20480000000000000000000000000000000000000000 (pow.f64 x 2))))
(+.f64 (.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) (+.f64 1/1000000000000000000000000000 (+.f64 (.f64 7183622223378292981978368143880257599577648127/5000000000000000000000000000000000000000000000 (pow.f64 x 3)) (*.f64 78228834697964666120173370824092672/20480000000000000000000000000000000000000000 (pow.f64 x 2)))))
(*.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))
(+.f64 (.f64 9465848420504286626824081031566411209990210482353407/200000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
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(*.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))
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Outputs
(cbrt.f64 1/1000000000000000000000000000)
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(fma.f64 -1/3 (/.f64 (fma.f64 29867428773321165979918006367734459105636601258107170989534582092827248069591427882546897651916414835883/40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000))) 180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000) (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 2)) (fma.f64 -1/3 (/.f64 (-.f64 (/.f64 31413394830940715783507915936191424679791376262532091193378025267100711852512214625352313210924848507012998151077748329770277421634122158818831193723433709/8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 2)) (fma.f64 (.f64 (fma.f64 29867428773321165979918006367734459105636601258107170989534582092827248069591427882546897651916414835883/40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000))) 180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 5)))) 3155282806834762208941360343855470403330070160784469/100000000000000000000000000000000000000000000000000000000000 7183622223378292981978368143880257599577648127/5000000000000000000000000000000000000000000000)) (.f64 x (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 2))) (fma.f64 (.f64 x x) (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 2))) (*.f64 x 3155282806834762208941360343855470403330070160784469/200000000000000000000000000000000000000000000000000000000000)))))
(fma.f64 -1/3 (+.f64 (/.f64 (fma.f64 29867428773321165979918006367734459105636601258107170989534582092827248069591427882546897651916414835883/40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000))) 180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000) (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 2)) (/.f64 (+.f64 (fma.f64 (fma.f64 29867428773321165979918006367734459105636601258107170989534582092827248069591427882546897651916414835883/40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000))) 180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000) (.f64 -3155282806834762208941360343855470403330070160784469/100000000000000000000000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 5)))) (/.f64 31413394830940715783507915936191424679791376262532091193378025267100711852512214625352313210924848507012998151077748329770277421634122158818831193723433709/8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 2))) -7183622223378292981978368143880257599577648127/5000000000000000000000000000000000000000000000) (.f64 x (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 2)))) (.f64 x (+.f64 (.f64 3155282806834762208941360343855470403330070160784469/200000000000000000000000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 2)))) (*.f64 x (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000)))))
(+.f64 (.f64 x (+.f64 (.f64 3155282806834762208941360343855470403330070160784469/200000000000000000000000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 2)))) (.f64 x (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000)))) (.f64 (/.f64 -1/3 (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 2)) (+.f64 (fma.f64 29867428773321165979918006367734459105636601258107170989534582092827248069591427882546897651916414835883/40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000))) 180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000) (/.f64 (+.f64 (/.f64 31413394830940715783507915936191424679791376262532091193378025267100711852512214625352313210924848507012998151077748329770277421634122158818831193723433709/8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 2)) (fma.f64 (fma.f64 29867428773321165979918006367734459105636601258107170989534582092827248069591427882546897651916414835883/40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000))) 180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000) (*.f64 -3155282806834762208941360343855470403330070160784469/100000000000000000000000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000) 5)))) -7183622223378292981978368143880257599577648127/5000000000000000000000000000000000000000000000)) x))))
1/1000000000000000000000000000
(+.f64 (*.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) 1/1000000000000000000000000000)
(fma.f64 1692579537105327/500000000000000000000000000000000 x 1/1000000000000000000000000000)
(fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)
(+.f64 (.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) (+.f64 1/1000000000000000000000000000 (.f64 78228834697964666120173370824092672/20480000000000000000000000000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 1692579537105327/500000000000000000000000000000000 x 1/1000000000000000000000000000) (.f64 76395346384731119257981807445403/20000000000000000000000000000000000000000 (.f64 x x)))
(fma.f64 x 1692579537105327/500000000000000000000000000000000 (fma.f64 76395346384731119257981807445403/20000000000000000000000000000000000000000 (*.f64 x x) 1/1000000000000000000000000000))
(fma.f64 x 1692579537105327/500000000000000000000000000000000 (fma.f64 x (*.f64 x 76395346384731119257981807445403/20000000000000000000000000000000000000000) 1/1000000000000000000000000000))
(+.f64 (.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) (+.f64 1/1000000000000000000000000000 (+.f64 (.f64 7183622223378292981978368143880257599577648127/5000000000000000000000000000000000000000000000 (pow.f64 x 3)) (*.f64 78228834697964666120173370824092672/20480000000000000000000000000000000000000000 (pow.f64 x 2)))))
(+.f64 (fma.f64 1692579537105327/500000000000000000000000000000000 x 1/1000000000000000000000000000) (fma.f64 7183622223378292981978368143880257599577648127/5000000000000000000000000000000000000000000000 (pow.f64 x 3) (.f64 76395346384731119257981807445403/20000000000000000000000000000000000000000 (.f64 x x))))
(+.f64 (fma.f64 76395346384731119257981807445403/20000000000000000000000000000000000000000 (.f64 x x) (.f64 7183622223378292981978368143880257599577648127/5000000000000000000000000000000000000000000000 (pow.f64 x 3))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000))
(fma.f64 x 1692579537105327/500000000000000000000000000000000 (fma.f64 x (*.f64 x 76395346384731119257981807445403/20000000000000000000000000000000000000000) (fma.f64 7183622223378292981978368143880257599577648127/5000000000000000000000000000000000000000000000 (pow.f64 x 3) 1/1000000000000000000000000000)))
(fma.f64 x 1692579537105327/500000000000000000000000000000000 (fma.f64 7183622223378292981978368143880257599577648127/5000000000000000000000000000000000000000000000 (pow.f64 x 3) (fma.f64 x (*.f64 x 76395346384731119257981807445403/20000000000000000000000000000000000000000) 1/1000000000000000000000000000)))
(*.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))
(+.f64 (.f64 9465848420504286626824081031566411209990210482353407/200000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(fma.f64 9465848420504286626824081031566411209990210482353407/200000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5) (*.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(fma.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6) (*.f64 9465848420504286626824081031566411209990210482353407/200000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5)))
(+.f64 (.f64 -180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000 (pow.f64 x 4)) (+.f64 (.f64 9465848420504286626824081031566411209990210482353407/200000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (*.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))
(fma.f64 -180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000 (pow.f64 x 4) (fma.f64 9465848420504286626824081031566411209990210482353407/200000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5) (*.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))
(fma.f64 -180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000 (pow.f64 x 4) (fma.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6) (*.f64 9465848420504286626824081031566411209990210482353407/200000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5))))
(fma.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6) (fma.f64 -180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000 (pow.f64 x 4) (*.f64 9465848420504286626824081031566411209990210482353407/200000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5))))
(+.f64 (.f64 7183622223378292981978368143880257599577648127/5000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 (.f64 -180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000 (pow.f64 x 4)) (+.f64 (.f64 9465848420504286626824081031566411209990210482353407/200000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))
(fma.f64 7183622223378292981978368143880257599577648127/5000000000000000000000000000000000000000000000 (pow.f64 x 3) (fma.f64 -180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000 (pow.f64 x 4) (fma.f64 9465848420504286626824081031566411209990210482353407/200000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5) (*.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))
(fma.f64 7183622223378292981978368143880257599577648127/5000000000000000000000000000000000000000000000 (pow.f64 x 3) (fma.f64 -180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000 (pow.f64 x 4) (fma.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6) (*.f64 9465848420504286626824081031566411209990210482353407/200000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5)))))
(fma.f64 7183622223378292981978368143880257599577648127/5000000000000000000000000000000000000000000000 (pow.f64 x 3) (fma.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6) (fma.f64 -180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000 (pow.f64 x 4) (*.f64 9465848420504286626824081031566411209990210482353407/200000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5)))))
(*.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))
(+.f64 (.f64 9465848420504286626824081031566411209990210482353407/200000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(fma.f64 9465848420504286626824081031566411209990210482353407/200000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5) (*.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(fma.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6) (*.f64 9465848420504286626824081031566411209990210482353407/200000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5)))
(+.f64 (.f64 -180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000 (pow.f64 x 4)) (+.f64 (.f64 9465848420504286626824081031566411209990210482353407/200000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (*.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))
(fma.f64 -180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000 (pow.f64 x 4) (fma.f64 9465848420504286626824081031566411209990210482353407/200000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5) (*.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))
(fma.f64 -180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000 (pow.f64 x 4) (fma.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6) (*.f64 9465848420504286626824081031566411209990210482353407/200000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5))))
(fma.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6) (fma.f64 -180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000 (pow.f64 x 4) (*.f64 9465848420504286626824081031566411209990210482353407/200000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5))))
(+.f64 (.f64 7183622223378292981978368143880257599577648127/5000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 (.f64 -180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000 (pow.f64 x 4)) (+.f64 (.f64 9465848420504286626824081031566411209990210482353407/200000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))
(fma.f64 7183622223378292981978368143880257599577648127/5000000000000000000000000000000000000000000000 (pow.f64 x 3) (fma.f64 -180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000 (pow.f64 x 4) (fma.f64 9465848420504286626824081031566411209990210482353407/200000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5) (*.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))
(fma.f64 7183622223378292981978368143880257599577648127/5000000000000000000000000000000000000000000000 (pow.f64 x 3) (fma.f64 -180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000 (pow.f64 x 4) (fma.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6) (*.f64 9465848420504286626824081031566411209990210482353407/200000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5)))))
(fma.f64 7183622223378292981978368143880257599577648127/5000000000000000000000000000000000000000000000 (pow.f64 x 3) (fma.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6) (fma.f64 -180664213270949926461421810391805524779816369232637/400000000000000000000000000000000000000000000000000000 (pow.f64 x 4) (*.f64 9465848420504286626824081031566411209990210482353407/200000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5)))))

localize62.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(-.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))))
	0.0b	(/.f64 (/.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)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1))
	0.0b	(/.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)))) (pow.f64 (exp.f64 x) x))
	0.0b	(pow.f64 (exp.f64 x) x)
✓	0.2b	(fma.f64 3275911/10000000 x 1)
✓	0.3b	(/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1))
✓	0.4b	(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))
✓	0.5b	(+.f64 1 (/.f64 (/.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)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))

Compiler

Compiled 143 to 111 computations (22.4% saved)

series24.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
19.0ms	x	@	-inf	(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))
1.0ms	x	@	0	(+.f64 1 (/.f64 (/.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)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))
1.0ms	x	@	inf	(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))
1.0ms	x	@	inf	(+.f64 1 (/.f64 (/.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)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))
0.0ms	x	@	-inf	(+.f64 1 (/.f64 (/.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)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))

rewrite107.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

595×	`fma-def_binary64`
374×	`expm1-udef_binary64`
374×	`log1p-udef_binary64`
361×	`fma-neg_binary64`
219×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	66
1	442	64
2	6122	64

Stop Event

1×	node limit

Counts

4 → 123

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8890523/31250000 (/.f64 1 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1))) (cbrt.f64 (/.f64 79041399213529/976562500000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 79041399213529/976562500000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (cbrt.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1))) (sqrt.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -8890523/31250000 (/.f64 1 (neg.f64 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) 8890523/31250000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 702719377660061485667/30517578125000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 3275911/10000000 x 1) 31250000/8890523) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 79041399213529/976562500000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 702719377660061485667/30517578125000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 3275911/10000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3275911/10000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 3275911/10000000 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3275911/10000000 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 3275911/10000000 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 3275911/10000000 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 3275911/10000000 x 1)) (cbrt.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (cbrt.f64 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 3275911/10000000 x 1)) (sqrt.f64 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 3275911/10000000 x) 3) 1) (fma.f64 (.f64 3275911/10000000 x) (.f64 3275911/10000000 x) (-.f64 1 (.f64 (.f64 3275911/10000000 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 3275911/10000000 x) (.f64 3275911/10000000 x) -1) (fma.f64 3275911/10000000 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3275911/10000000 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3275911/10000000 x 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3275911/10000000 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 3275911/10000000 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (.f64 3275911/10000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (.f64 3275911/10000000 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3275911/10000000 x 1)))))))

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

863×	`fma-def_binary64`
638×	`distribute-neg-frac_binary64`
528×	`associate-/r*_binary64`
426×	`unswap-sqr_binary64`
322×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	697
1	263	667
2	696	663
3	2016	609
4	6434	609

Stop Event

1×	node limit

Counts

171 → 169

Calls

Call 1

Inputs
-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))))))
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)))))
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
-391746597/1000000000
(-.f64 (*.f64 12940101818784473/10000000000000000 x) 391746597/1000000000)
(fma.f64 12940101818784473/10000000000000000 x -391746597/1000000000)
(-.f64 (+.f64 (.f64 12940101818784473/10000000000000000 x) (.f64 5407504021012988552457/10000000000000000000000 (pow.f64 x 2))) 391746597/1000000000)
(+.f64 (fma.f64 12940101818784473/10000000000000000 x (.f64 5407504021012988552457/10000000000000000000000 (.f64 x x))) -391746597/1000000000)
(fma.f64 12940101818784473/10000000000000000 x (fma.f64 5407504021012988552457/10000000000000000000000 (*.f64 x x) -391746597/1000000000))
(fma.f64 12940101818784473/10000000000000000 x (fma.f64 x (*.f64 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 5407504021012988552457/10000000000000000000000 (.f64 x x)))) -391746597/1000000000)
(fma.f64 -412674835425129503982908202101/500000000000000000000000000000 (pow.f64 x 3) (fma.f64 12940101818784473/10000000000000000 x (fma.f64 5407504021012988552457/10000000000000000000000 (*.f64 x x) -391746597/1000000000)))
(fma.f64 -412674835425129503982908202101/500000000000000000000000000000 (pow.f64 x 3) (fma.f64 12940101818784473/10000000000000000 x (fma.f64 x (*.f64 x 5407504021012988552457/10000000000000000000000) -391746597/1000000000)))
(fma.f64 12940101818784473/10000000000000000 x (fma.f64 x (*.f64 x (fma.f64 x -412674835425129503982908202101/500000000000000000000000000000 5407504021012988552457/10000000000000000000000)) -391746597/1000000000))
1
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(+.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 284496736000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -28449673600000/10731592879921 x) x) (/.f64 -2844967360000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (/.f64 284496736000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -28449673600000/10731592879921 x) x) (+.f64 (/.f64 71124184/81897775 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 71124184/81897775 x) (/.f64 (/.f64 -28449673600000/10731592879921 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 (/.f64 28449673600000/10731592879921 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 (/.f64 -28449673600000/10731592879921 x) x)))
(+.f64 (/.f64 284496736000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 71124184/81897775 x) (/.f64 (/.f64 -28449673600000/10731592879921 x) x)))
(-.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 284496736000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 28449673600000/10731592879921 (*.f64 x x)) (/.f64 2844967360000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (/.f64 284496736000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 (/.f64 28449673600000/10731592879921 x) x) (/.f64 2844967360000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (/.f64 284496736000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 71124184/81897775 x) (/.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 (/.f64 -28449673600000/10731592879921 x) x) (/.f64 -2844967360000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (/.f64 284496736000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -28449673600000/10731592879921 x) x) (+.f64 (/.f64 71124184/81897775 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)

localize96.0ms (0.8%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1029667143/1000000000 (*.f64 -2193742730720041/10000000000000000 x))
	0.0b	(.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)))))
	0.0b	(exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
	0.0b	(+.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)))))))
✓	0.2b	(.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))))))
	0.5b	(*.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)))))
✓	13.2b	(-.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))))))

Compiler

Compiled 283 to 206 computations (27.2% saved)

series13.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
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 1 (+.f64 1029667143/1000000000 (.f64 -2193742730720041/10000000000000000 x)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
2.0ms	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))))))
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 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)))))

rewrite140.0ms (1.2%)

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	112
1	583	80
2	7908	80

Stop Event

1×	node limit

Counts

3 → 106

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 (/.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))))))

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

simplify91.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

893×	`fma-neg_binary64`
399×	`associate-/l*_binary64`
359×	`associate-/r*_binary64`
332×	`fma-def_binary64`
309×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	1542
1	247	1425
2	468	1347
3	1310	1311
4	5661	1311

Stop Event

1×	node limit

Counts

142 → 132

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)))
(-.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 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)
(/.f64 (-.f64 (.f64 1029667143/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 8890523/31250000) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(-.f64 (+.f64 (.f64 -2193742730720041/10000000000000000 (/.f64 x (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (/.f64 1029667143/1000000000 (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 (+.f64 (.f64 -2193742730720041/10000000000000000 (/.f64 x (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (/.f64 1029667143/1000000000 (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 (+.f64 (.f64 -2193742730720041/10000000000000000 (/.f64 x (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (/.f64 1029667143/1000000000 (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 -2193742730720041/10000000000000000 (/.f64 x (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))
(-.f64 (+.f64 (.f64 -2193742730720041/10000000000000000 (/.f64 x (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (.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))))
(-.f64 (+.f64 (.f64 -2193742730720041/10000000000000000 (/.f64 x (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (.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))))
(-.f64 (+.f64 (.f64 -2193742730720041/10000000000000000 (/.f64 x (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (.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))))
(.f64 -2193742730720041/10000000000000000 (/.f64 x (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))
(-.f64 (+.f64 (.f64 -2193742730720041/10000000000000000 (/.f64 x (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (.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))))))
(-.f64 (+.f64 (.f64 -2193742730720041/10000000000000000 (/.f64 x (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (.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))))))
(-.f64 (+.f64 (.f64 -2193742730720041/10000000000000000 (/.f64 x (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (.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))))))

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

eval694.0ms (5.9%)

Compiler: Compiled 29395 to 22154 computations (24.6% saved)

prune120.0ms (1%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	738	14	752
Fresh	7	4	11
Picked	1	0	1
Done	4	1	5
Total	750	19	769

Error

0.0b

Counts

769 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	31.4b	(+.f64 1 (/.f64 (/.f64 (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) (+.f64 31853699/125000000 (+.f64 1421413741/1000000000 (*.f64 -4656424909693051/5000000000000000 x)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))
	28.4b	1
	31.6b	(+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)))
▶	31.4b	(pow.f64 1/1000000000000000000000000000 1/3)
	34.0b	(pow.f64 (pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 3) 1/3)
▶	31.4b	(+.f64 1 (/.f64 (/.f64 (-.f64 8890523/31250000 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))
	32.6b	(+.f64 1/1000000000 (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))
	62.6b	(-.f64 (*.f64 12940101818784473/10000000000000000 x) 391746597/1000000000)
▶	61.7b	(*.f64 564193179035109/500000000000000 x)
	32.7b	(+.f64 (+.f64 1/1000000000 (.f64 x 564193179035109/500000000000000)) (.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x)))
	32.7b	(+.f64 (.f64 x 564193179035109/500000000000000) (fma.f64 x (.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))
▶	13.5b	(+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
	33.8b	(pow.f64 (pow.f64 (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (sqrt.f64 (.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)))) 3) 1/3)
	13.9b	(.f64 1 (-.f64 1 (/.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))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
▶	30.9b	(+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)))
	14.1b	(-.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))))
✓	32.1b	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
	30.2b	1/1000000000
	62.6b	(fma.f64 12940101818784473/10000000000000000 x -391746597/1000000000)

Compiler

Compiled 548 to 449 computations (18.1% saved)

localize100.0ms (0.8%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.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)))
	0.0b	(/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))
	0.0b	(-.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)))
	0.0b	(pow.f64 (exp.f64 x) x)
	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)))
	13.2b	(+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))

Compiler

Compiled 248 to 199 computations (19.8% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	2.6b	(pow.f64 1/1000000000000000000000000000 1/3)
✓	2.6b	(pow.f64 1/1000000000000000000000000000 1/3)

Compiler

Compiled 6 to 6 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

500×	`log1p-udef_binary64`
312×	`add-sqr-sqrt_binary64`
308×	`pow1_binary64`
298×	`add-log-exp_binary64`
298×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	3
1	89	3
2	832	3
3	7757	3

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(pow.f64 1/1000000000000000000000000000 1/3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cbrt.f64 1/1000000000000000000000000000) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 1/1000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 1/1000000000000000000000000000)) 2))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 1/1000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 1/1000000000000000000000000000)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 1/1000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cbrt.f64 1/1000000000000000000000000000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/1000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 1/1000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/1000000000000000000000000000000000000000000000000000000 1/18) (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000)) (pow.f64 1/1000000000000000000000000000000000000000000000000000000 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/1000000000000000000000000000 1/6) (pow.f64 1/1000000000000000000000000000 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000))) (*.f64 (cbrt.f64 (pow.f64 1/1000000000000000000000000000000000000000000000000000000 1/18)) (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000))) (pow.f64 1/1000000000000000000000000000000000000000000000000000000 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 1/6) (*.f64 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 1/6) (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/1000000000000000000000000000 1/12) (pow.f64 1/1000000000000000000000000000 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/1000000000000000000000000000 1/12) (*.f64 (pow.f64 1/1000000000000000000000000000 1/12) (pow.f64 1/1000000000000000000000000000 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/1000000000000000000000000000 1/4) (pow.f64 1/1000000000000000000000000000 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (pow.f64 1/1000000000000000000000000000000000000000000000000000000 1/18) 5)) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1/1000000000000000000000000000 1/6) (pow.f64 1/1000000000000000000000000000000000000000000000000000000 1/18)) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1/1000000000000000000000000000000000000000000000000000000 1/18) (cbrt.f64 (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000)) (cbrt.f64 (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000)))) (cbrt.f64 (pow.f64 1/1000000000000000000000000000000000000000000000000000000 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000)) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 1/6)) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (cbrt.f64 1/1000000000000000000000000000) 1) 3) 1) (+.f64 (*.f64 (+.f64 (cbrt.f64 1/1000000000000000000000000000) 1) (+.f64 (cbrt.f64 1/1000000000000000000000000000) 1)) (+.f64 1 (+.f64 (cbrt.f64 1/1000000000000000000000000000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (cbrt.f64 1/1000000000000000000000000000) 1) (+.f64 (cbrt.f64 1/1000000000000000000000000000) 1)) 1) (+.f64 (+.f64 (cbrt.f64 1/1000000000000000000000000000) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 1/1000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 1/1000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 1/1000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (cbrt.f64 1/1000000000000000000000000000) (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 1/1000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 1/1000000000000000000000000000000000000000000000000000000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 1/1000000000000000000000000000000000000000000000000000000 1/18)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 1/1000000000000000000000000000) 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 1/1000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 1/1000000000000000000000000000)))))))

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

34 → 34

Calls

Call 1

Inputs

Outputs

localize12.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.1b	(/.f64 -63707398/81897775 x)
	0.0b	(pow.f64 (exp.f64 x) x)
	0.0b	(/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))
✓	0.0b	(/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))
✓	0.0b	(pow.f64 (exp.f64 x) x)
✓	0.1b	(/.f64 -63707398/81897775 x)

Compiler

Compiled 31 to 15 computations (51.6% saved)

series4.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))
1.0ms	x	@	0	(/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))
1.0ms	x	@	-inf	(/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))
1.0ms	x	@	0	(/.f64 -63707398/81897775 x)
0.0ms	x	@	inf	(/.f64 -63707398/81897775 x)

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`pow1_binary64`
777×	`add-log-exp_binary64`
777×	`log1p-expm1-u_binary64`
777×	`expm1-log1p-u_binary64`
759×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
1	155	22
2	2081	22

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs
(/.f64 -63707398/81897775 x)
(pow.f64 (exp.f64 x) x)
(/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -63707398/81897775 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -63707398/81897775 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -63707398/81897775 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -63707398/81897775 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -63707398/81897775 x)) (pow.f64 (cbrt.f64 (/.f64 -63707398/81897775 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -63707398/81897775 x)) 2) (cbrt.f64 (/.f64 -63707398/81897775 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -63707398/81897775 x)) (sqrt.f64 (/.f64 -63707398/81897775 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 63707398/81897775 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) -63707398/81897775)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -63707398/81897775 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -63707398/81897775 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -63707398/81897775 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -63707398/81897775 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -81897775/63707398) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -63707398/81897775 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -63707398/81897775 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -63707398/81897775 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -63707398/81897775 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -63707398/81897775 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -63707398/81897775 x)))))))

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -63707398/81897775 (/.f64 (/.f64 1 x) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -63707398/81897775 (/.f64 1 (*.f64 x (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -63707398/81897775 (*.f64 (/.f64 1 x) (pow.f64 (exp.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))) 2) (cbrt.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -63707398/81897775 x)) 2) (*.f64 (cbrt.f64 (/.f64 -63707398/81897775 x)) (pow.f64 (exp.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))) (sqrt.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -63707398/81897775 x)) (*.f64 (sqrt.f64 (/.f64 -63707398/81897775 x)) (pow.f64 (exp.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 63707398/81897775 x) (/.f64 1 (neg.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (/.f64 -63707398/81897775 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -63707398/81897775 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -63707398/81897775 x)) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -63707398/81897775 x)) 1) (/.f64 (sqrt.f64 (/.f64 -63707398/81897775 x)) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -63707398/81897775 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)) (/.f64 (/.f64 -63707398/81897775 x) (cbrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -63707398/81897775 x)) 2) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)) (cbrt.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -63707398/81897775 x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)) (/.f64 (sqrt.f64 (/.f64 -63707398/81897775 x)) (cbrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -63707398/81897775 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (/.f64 (/.f64 1 x) (sqrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (/.f64 (/.f64 -63707398/81897775 x) (sqrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -63707398/81897775 x)) 2) (sqrt.f64 (pow.f64 (exp.f64 x) x))) (/.f64 (cbrt.f64 (/.f64 -63707398/81897775 x)) (sqrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 x -81897775/63707398)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -63707398/81897775 x) (neg.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -63707398/81897775 x) 3) (pow.f64 (pow.f64 (exp.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 -63707398/81897775 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))))))))

simplify42.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

512×	`unswap-sqr_binary64`
500×	`fma-def_binary64`
498×	`distribute-lft-out_binary64`
417×	`times-frac_binary64`
371×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	246
1	108	236
2	254	230
3	709	230
4	2567	230
5	5632	230

Stop Event

1×	node limit

Counts

95 → 89

Calls

Call 1

Inputs
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/2 (pow.f64 x 4)))))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(/.f64 -63707398/81897775 x)
(-.f64 (.f64 63707398/81897775 x) (.f64 63707398/81897775 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 63707398/81897775 x) (.f64 -31853699/81897775 (pow.f64 x 3))) (*.f64 63707398/81897775 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 63707398/81897775 x) (+.f64 (.f64 31853699/245693325 (pow.f64 x 5)) (.f64 -31853699/81897775 (pow.f64 x 3)))) (.f64 63707398/81897775 (/.f64 1 x)))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))

Outputs
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 x x) (.f64 1/2 (pow.f64 x 4))))
(+.f64 1 (fma.f64 x x (*.f64 1/2 (pow.f64 x 4))))
(fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/2 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 6) (+.f64 (.f64 x x) (.f64 1/2 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 6) (fma.f64 x x (*.f64 1/2 (pow.f64 x 4)))))
(fma.f64 1/6 (pow.f64 x 6) (fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1)))
(fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 6) 1)))
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(/.f64 -63707398/81897775 x)
(-.f64 (.f64 63707398/81897775 x) (.f64 63707398/81897775 (/.f64 1 x)))
(-.f64 (*.f64 x 63707398/81897775) (/.f64 63707398/81897775 x))
(fma.f64 x 63707398/81897775 (/.f64 -63707398/81897775 x))
(-.f64 (+.f64 (.f64 63707398/81897775 x) (.f64 -31853699/81897775 (pow.f64 x 3))) (*.f64 63707398/81897775 (/.f64 1 x)))
(-.f64 (fma.f64 63707398/81897775 x (*.f64 -31853699/81897775 (pow.f64 x 3))) (/.f64 63707398/81897775 x))
(fma.f64 x 63707398/81897775 (fma.f64 -31853699/81897775 (pow.f64 x 3) (/.f64 -63707398/81897775 x)))
(-.f64 (+.f64 (.f64 63707398/81897775 x) (+.f64 (.f64 31853699/245693325 (pow.f64 x 5)) (.f64 -31853699/81897775 (pow.f64 x 3)))) (.f64 63707398/81897775 (/.f64 1 x)))
(-.f64 (fma.f64 63707398/81897775 x (fma.f64 31853699/245693325 (pow.f64 x 5) (*.f64 -31853699/81897775 (pow.f64 x 3)))) (/.f64 63707398/81897775 x))
(+.f64 (fma.f64 -31853699/81897775 (pow.f64 x 3) (*.f64 31853699/245693325 (pow.f64 x 5))) (fma.f64 x 63707398/81897775 (/.f64 -63707398/81897775 x)))
(fma.f64 x 63707398/81897775 (fma.f64 -31853699/81897775 (pow.f64 x 3) (fma.f64 31853699/245693325 (pow.f64 x 5) (/.f64 -63707398/81897775 x))))
(fma.f64 x (fma.f64 x (*.f64 x -31853699/81897775) 63707398/81897775) (fma.f64 31853699/245693325 (pow.f64 x 5) (/.f64 -63707398/81897775 x)))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(/.f64 -63707398/81897775 (.f64 x (exp.f64 (.f64 x x))))
(/.f64 (/.f64 -63707398/81897775 x) (exp.f64 (*.f64 x x)))
(/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(/.f64 -63707398/81897775 (.f64 x (exp.f64 (.f64 x x))))
(/.f64 (/.f64 -63707398/81897775 x) (exp.f64 (*.f64 x x)))
(/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(/.f64 -63707398/81897775 (.f64 x (exp.f64 (.f64 x x))))
(/.f64 (/.f64 -63707398/81897775 x) (exp.f64 (*.f64 x x)))
(/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(/.f64 -63707398/81897775 (.f64 x (exp.f64 (.f64 x x))))
(/.f64 (/.f64 -63707398/81897775 x) (exp.f64 (*.f64 x x)))
(/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(/.f64 -63707398/81897775 (.f64 x (exp.f64 (.f64 x x))))
(/.f64 (/.f64 -63707398/81897775 x) (exp.f64 (*.f64 x x)))
(/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(/.f64 -63707398/81897775 (.f64 x (exp.f64 (.f64 x x))))
(/.f64 (/.f64 -63707398/81897775 x) (exp.f64 (*.f64 x x)))
(/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(/.f64 -63707398/81897775 (.f64 x (exp.f64 (.f64 x x))))
(/.f64 (/.f64 -63707398/81897775 x) (exp.f64 (*.f64 x x)))
(/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(/.f64 -63707398/81897775 (.f64 x (exp.f64 (.f64 x x))))
(/.f64 (/.f64 -63707398/81897775 x) (exp.f64 (*.f64 x x)))
(/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))

localize47.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))
	0.0b	(/.f64 (/.f64 (-.f64 8890523/31250000 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1))
	0.0b	(pow.f64 (exp.f64 x) x)
	0.0b	(/.f64 (-.f64 8890523/31250000 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (pow.f64 (exp.f64 x) x))
	0.2b	(fma.f64 3275911/10000000 x 1)
	0.4b	(/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))
✓	0.5b	(+.f64 1 (/.f64 (/.f64 (-.f64 8890523/31250000 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))
✓	1.4b	(-.f64 8890523/31250000 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))))

Compiler

Compiled 117 to 90 computations (23.1% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite124.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`prod-diff_binary64`
352×	`expm1-udef_binary64`
352×	`log1p-udef_binary64`
206×	`add-sqr-sqrt_binary64`
197×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	418	46
2	5588	46

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 8890523/31250000 (neg.f64 (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 31853699/125000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 8890523/31250000 (*.f64 (neg.f64 (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 31853699/125000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 31853699/125000000)) 8890523/31250000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3708393/125000000 (neg.f64 (*.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3708393/125000000 (*.f64 -1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3708393/125000000 (*.f64 -1 (*.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3708393/125000000 (*.f64 (neg.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 3708393/125000000 (*.f64 (neg.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 1 (-.f64 3708393/125000000 (*.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 3708393/125000000 (*.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 3708393/125000000 (*.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2)))) (pow.f64 (cbrt.f64 (-.f64 3708393/125000000 (*.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 3708393/125000000 (*.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2)))) 2) (cbrt.f64 (-.f64 3708393/125000000 (*.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 3708393/125000000 (*.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2)))) (sqrt.f64 (-.f64 3708393/125000000 (*.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 702719377660061485667/30517578125000000000000 (pow.f64 (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 31853699/125000000) 3)) (/.f64 1 (+.f64 79041399213529/976562500000000 (*.f64 (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 31853699/125000000) (+.f64 67415791/125000000 (*.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 79041399213529/976562500000000 (pow.f64 (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 31853699/125000000) 2)) (/.f64 1 (+.f64 67415791/125000000 (*.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 79041399213529/976562500000000 (*.f64 (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 31853699/125000000) (+.f64 67415791/125000000 (*.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))))) (-.f64 702719377660061485667/30517578125000000000000 (pow.f64 (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 31853699/125000000) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 67415791/125000000 (*.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))) (-.f64 79041399213529/976562500000000 (pow.f64 (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 31853699/125000000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 702719377660061485667/30517578125000000000000 (pow.f64 (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 31853699/125000000) 3)) (+.f64 79041399213529/976562500000000 (*.f64 (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 31853699/125000000) (+.f64 67415791/125000000 (*.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 79041399213529/976562500000000 (pow.f64 (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 31853699/125000000) 2)) (+.f64 67415791/125000000 (*.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 702719377660061485667/30517578125000000000000 (pow.f64 (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 31853699/125000000) 3))) (neg.f64 (+.f64 79041399213529/976562500000000 (*.f64 (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 31853699/125000000) (+.f64 67415791/125000000 (*.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 79041399213529/976562500000000 (pow.f64 (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 31853699/125000000) 2))) (neg.f64 (+.f64 67415791/125000000 (*.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 50998483012407374457/1953125000000000000000000 (pow.f64 (*.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2)) 3)) (+.f64 13752178642449/15625000000000000 (+.f64 (/.f64 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simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

705×	`cancel-sign-sub-inv_binary64`
533×	`fma-def_binary64`
490×	`distribute-neg-frac_binary64`
400×	`associate-/r*_binary64`
389×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	70	392
1	184	388
2	481	384
3	1399	336
4	4641	320

Stop Event

1×	node limit

Counts

94 → 98

Calls

Call 1

Inputs
-1391746597/1000000000
(-.f64 (*.f64 4656424909693051/5000000000000000 x) 1391746597/1000000000)
(-.f64 (+.f64 (.f64 -45762100747012417183383/100000000000000000000000 (pow.f64 x 2)) (.f64 4656424909693051/5000000000000000 x)) 1391746597/1000000000)
(-.f64 (+.f64 (.f64 -45762100747012417183383/100000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 49970856406748731529211128971/250000000000000000000000000000 (pow.f64 x 3)) (*.f64 4656424909693051/5000000000000000 x))) 1391746597/1000000000)
3708393/125000000
(-.f64 3708393/125000000 (*.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 3708393/125000000 (.f64 2842827482000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 3708393/125000000 (.f64 2842827482000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 42642412230000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4))) (*.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2)))))
3708393/125000000
(-.f64 3708393/125000000 (*.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 3708393/125000000 (.f64 2842827482000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 3708393/125000000 (.f64 2842827482000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 42642412230000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4))) (*.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2)))))
-391746597/1000000000
(-.f64 (*.f64 13872087805710969/10000000000000000 x) 391746597/1000000000)
(-.f64 (+.f64 (.f64 13872087805710969/10000000000000000 x) (.f64 23984416958646578324429/50000000000000000000000 (pow.f64 x 2))) 391746597/1000000000)
(-.f64 (+.f64 (.f64 13872087805710969/10000000000000000 x) (+.f64 (.f64 -444271593499224507986936271877/500000000000000000000000000000 (pow.f64 x 3)) (*.f64 23984416958646578324429/50000000000000000000000 (pow.f64 x 2)))) 391746597/1000000000)
1
(+.f64 (.f64 7416786/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))) 1)
(-.f64 (+.f64 1 (.f64 7416786/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x)))) (.f64 2966714400000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))))
(-.f64 (+.f64 1 (.f64 7416786/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x)))) (+.f64 (.f64 2966714400000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))) (.f64 1391746597000000000000/35155743162854883031 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
1
(+.f64 (.f64 7416786/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))) 1)
(-.f64 (+.f64 1 (.f64 7416786/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x)))) (.f64 2966714400000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))))
(-.f64 (+.f64 1 (.f64 7416786/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x)))) (+.f64 (.f64 2966714400000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))) (.f64 1391746597000000000000/35155743162854883031 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))

Outputs
-1391746597/1000000000
(-.f64 (*.f64 4656424909693051/5000000000000000 x) 1391746597/1000000000)
(fma.f64 4656424909693051/5000000000000000 x -1391746597/1000000000)
(-.f64 (+.f64 (.f64 -45762100747012417183383/100000000000000000000000 (pow.f64 x 2)) (.f64 4656424909693051/5000000000000000 x)) 1391746597/1000000000)
(+.f64 (.f64 -45762100747012417183383/100000000000000000000000 (.f64 x x)) (fma.f64 4656424909693051/5000000000000000 x -1391746597/1000000000))
(fma.f64 -45762100747012417183383/100000000000000000000000 (*.f64 x x) (fma.f64 4656424909693051/5000000000000000 x -1391746597/1000000000))
(fma.f64 x (fma.f64 x -45762100747012417183383/100000000000000000000000 4656424909693051/5000000000000000) -1391746597/1000000000)
(-.f64 (+.f64 (.f64 -45762100747012417183383/100000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 49970856406748731529211128971/250000000000000000000000000000 (pow.f64 x 3)) (*.f64 4656424909693051/5000000000000000 x))) 1391746597/1000000000)
(+.f64 (fma.f64 -45762100747012417183383/100000000000000000000000 (.f64 x x) (fma.f64 49970856406748731529211128971/250000000000000000000000000000 (pow.f64 x 3) (.f64 4656424909693051/5000000000000000 x))) -1391746597/1000000000)
(fma.f64 x (*.f64 x -45762100747012417183383/100000000000000000000000) (fma.f64 4656424909693051/5000000000000000 x (fma.f64 49970856406748731529211128971/250000000000000000000000000000 (pow.f64 x 3) -1391746597/1000000000)))
(fma.f64 4656424909693051/5000000000000000 x (fma.f64 x (*.f64 x (fma.f64 x 49970856406748731529211128971/250000000000000000000000000000 -45762100747012417183383/100000000000000000000000)) -1391746597/1000000000))
3708393/125000000
(-.f64 3708393/125000000 (*.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 3708393/125000000 (/.f64 142141374100000/10731592879921 (*.f64 x x)))
(+.f64 3708393/125000000 (/.f64 -142141374100000/10731592879921 (*.f64 x x)))
(+.f64 3708393/125000000 (/.f64 (/.f64 -142141374100000/10731592879921 x) x))
(-.f64 (+.f64 3708393/125000000 (.f64 2842827482000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(+.f64 3708393/125000000 (-.f64 (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 142141374100000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 3708393/125000000 (/.f64 -142141374100000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 3708393/125000000 (/.f64 (/.f64 -142141374100000/10731592879921 x) x)))
(+.f64 3708393/125000000 (+.f64 (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -142141374100000/10731592879921 (*.f64 x x))))
(+.f64 3708393/125000000 (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 2842827482000000000000/35155743162854883031 x) 142141374100000/10731592879921)))
(-.f64 (+.f64 3708393/125000000 (.f64 2842827482000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 42642412230000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4))) (*.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 3708393/125000000 (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4))) (/.f64 142141374100000/10731592879921 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 3708393/125000000 (/.f64 42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4)))) (/.f64 -142141374100000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 -42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (+.f64 (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 3708393/125000000 (/.f64 (/.f64 -142141374100000/10731592879921 x) x))))
(+.f64 (+.f64 (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -142141374100000/10731592879921 (*.f64 x x))) (+.f64 3708393/125000000 (/.f64 -42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4))))
(+.f64 3708393/125000000 (+.f64 (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 -142141374100000/10731592879921 (*.f64 x x)) (/.f64 42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
3708393/125000000
(-.f64 3708393/125000000 (*.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 3708393/125000000 (/.f64 142141374100000/10731592879921 (*.f64 x x)))
(+.f64 3708393/125000000 (/.f64 -142141374100000/10731592879921 (*.f64 x x)))
(+.f64 3708393/125000000 (/.f64 (/.f64 -142141374100000/10731592879921 x) x))
(-.f64 (+.f64 3708393/125000000 (.f64 2842827482000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(+.f64 3708393/125000000 (-.f64 (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 142141374100000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 3708393/125000000 (/.f64 -142141374100000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 3708393/125000000 (/.f64 (/.f64 -142141374100000/10731592879921 x) x)))
(+.f64 3708393/125000000 (+.f64 (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -142141374100000/10731592879921 (*.f64 x x))))
(+.f64 3708393/125000000 (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 2842827482000000000000/35155743162854883031 x) 142141374100000/10731592879921)))
(-.f64 (+.f64 3708393/125000000 (.f64 2842827482000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 42642412230000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4))) (*.f64 142141374100000/10731592879921 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 3708393/125000000 (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4))) (/.f64 142141374100000/10731592879921 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 3708393/125000000 (/.f64 42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4)))) (/.f64 -142141374100000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 -42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (+.f64 (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 3708393/125000000 (/.f64 (/.f64 -142141374100000/10731592879921 x) x))))
(+.f64 (+.f64 (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -142141374100000/10731592879921 (*.f64 x x))) (+.f64 3708393/125000000 (/.f64 -42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4))))
(+.f64 3708393/125000000 (+.f64 (/.f64 2842827482000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 -142141374100000/10731592879921 (*.f64 x x)) (/.f64 42642412230000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
-391746597/1000000000
(-.f64 (*.f64 13872087805710969/10000000000000000 x) 391746597/1000000000)
(fma.f64 13872087805710969/10000000000000000 x -391746597/1000000000)
(fma.f64 x 13872087805710969/10000000000000000 -391746597/1000000000)
(-.f64 (+.f64 (.f64 13872087805710969/10000000000000000 x) (.f64 23984416958646578324429/50000000000000000000000 (pow.f64 x 2))) 391746597/1000000000)
(+.f64 (fma.f64 13872087805710969/10000000000000000 x (.f64 (.f64 x x) 23984416958646578324429/50000000000000000000000)) -391746597/1000000000)
(fma.f64 x 13872087805710969/10000000000000000 (fma.f64 (*.f64 x x) 23984416958646578324429/50000000000000000000000 -391746597/1000000000))
(fma.f64 x (*.f64 x 23984416958646578324429/50000000000000000000000) (fma.f64 x 13872087805710969/10000000000000000 -391746597/1000000000))
(fma.f64 x (fma.f64 x 23984416958646578324429/50000000000000000000000 13872087805710969/10000000000000000) -391746597/1000000000)
(-.f64 (+.f64 (.f64 13872087805710969/10000000000000000 x) (+.f64 (.f64 -444271593499224507986936271877/500000000000000000000000000000 (pow.f64 x 3)) (*.f64 23984416958646578324429/50000000000000000000000 (pow.f64 x 2)))) 391746597/1000000000)
(+.f64 (fma.f64 13872087805710969/10000000000000000 x (fma.f64 -444271593499224507986936271877/500000000000000000000000000000 (pow.f64 x 3) (.f64 (.f64 x x) 23984416958646578324429/50000000000000000000000))) -391746597/1000000000)
(+.f64 (fma.f64 x 13872087805710969/10000000000000000 (.f64 (pow.f64 x 3) -444271593499224507986936271877/500000000000000000000000000000)) (fma.f64 (.f64 x x) 23984416958646578324429/50000000000000000000000 -391746597/1000000000))
(fma.f64 x 13872087805710969/10000000000000000 (fma.f64 (*.f64 x x) 23984416958646578324429/50000000000000000000000 (fma.f64 (pow.f64 x 3) -444271593499224507986936271877/500000000000000000000000000000 -391746597/1000000000)))
(fma.f64 x 13872087805710969/10000000000000000 (fma.f64 x (*.f64 x (fma.f64 x -444271593499224507986936271877/500000000000000000000000000000 23984416958646578324429/50000000000000000000000)) -391746597/1000000000))
1
(+.f64 (.f64 7416786/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))) 1)
(+.f64 1 (/.f64 7416786/81897775 (.f64 x (exp.f64 (.f64 x x)))))
(+.f64 1 (/.f64 7416786/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(-.f64 (+.f64 1 (.f64 7416786/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x)))) (.f64 2966714400000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))))
(+.f64 1 (-.f64 (/.f64 7416786/81897775 (.f64 x (exp.f64 (.f64 x x)))) (/.f64 2966714400000/10731592879921 (.f64 (.f64 x x) (exp.f64 (*.f64 x x))))))
(+.f64 (/.f64 7416786/81897775 (.f64 x (pow.f64 (exp.f64 x) x))) (-.f64 1 (/.f64 2966714400000/10731592879921 (.f64 (*.f64 x x) (pow.f64 (exp.f64 x) x)))))
(+.f64 1 (+.f64 (/.f64 7416786/81897775 (.f64 x (pow.f64 (exp.f64 x) x))) (/.f64 (/.f64 -2966714400000/10731592879921 (pow.f64 (exp.f64 x) x)) (.f64 x x))))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 7416786/81897775 (/.f64 2966714400000/10731592879921 x))))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 7416786/81897775 (/.f64 -2966714400000/10731592879921 x))))
(-.f64 (+.f64 1 (.f64 7416786/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x)))) (+.f64 (.f64 2966714400000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))) (.f64 1391746597000000000000/35155743162854883031 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
(-.f64 (+.f64 1 (/.f64 7416786/81897775 (.f64 x (exp.f64 (.f64 x x))))) (+.f64 (/.f64 2966714400000/10731592879921 (.f64 (.f64 x x) (exp.f64 (.f64 x x)))) (/.f64 1391746597000000000000/35155743162854883031 (.f64 (pow.f64 x 3) (exp.f64 (*.f64 x x))))))
(+.f64 1 (-.f64 (/.f64 7416786/81897775 (.f64 x (pow.f64 (exp.f64 x) x))) (+.f64 (/.f64 2966714400000/10731592879921 (.f64 (*.f64 x x) (pow.f64 (exp.f64 x) x))) (/.f64 (/.f64 1391746597000000000000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (exp.f64 x) x)))))
(+.f64 (/.f64 7416786/81897775 (.f64 x (pow.f64 (exp.f64 x) x))) (-.f64 (-.f64 1 (/.f64 (/.f64 1391746597000000000000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (exp.f64 x) x))) (/.f64 (/.f64 2966714400000/10731592879921 (pow.f64 (exp.f64 x) x)) (.f64 x x))))
(+.f64 1 (+.f64 (/.f64 7416786/81897775 (.f64 x (pow.f64 (exp.f64 x) x))) (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (*.f64 x x)) (-.f64 -2966714400000/10731592879921 (/.f64 1391746597000000000000/35155743162854883031 x)))))
(+.f64 1 (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 (+.f64 7416786/81897775 (/.f64 -2966714400000/10731592879921 x)) (/.f64 -1391746597000000000000/35155743162854883031 (.f64 x x)))))
1
(+.f64 (.f64 7416786/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))) 1)
(+.f64 1 (/.f64 7416786/81897775 (.f64 x (exp.f64 (.f64 x x)))))
(+.f64 1 (/.f64 7416786/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(-.f64 (+.f64 1 (.f64 7416786/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x)))) (.f64 2966714400000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))))
(+.f64 1 (-.f64 (/.f64 7416786/81897775 (.f64 x (exp.f64 (.f64 x x)))) (/.f64 2966714400000/10731592879921 (.f64 (.f64 x x) (exp.f64 (*.f64 x x))))))
(+.f64 (/.f64 7416786/81897775 (.f64 x (pow.f64 (exp.f64 x) x))) (-.f64 1 (/.f64 2966714400000/10731592879921 (.f64 (*.f64 x x) (pow.f64 (exp.f64 x) x)))))
(+.f64 1 (+.f64 (/.f64 7416786/81897775 (.f64 x (pow.f64 (exp.f64 x) x))) (/.f64 (/.f64 -2966714400000/10731592879921 (pow.f64 (exp.f64 x) x)) (.f64 x x))))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 7416786/81897775 (/.f64 2966714400000/10731592879921 x))))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 7416786/81897775 (/.f64 -2966714400000/10731592879921 x))))
(-.f64 (+.f64 1 (.f64 7416786/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x)))) (+.f64 (.f64 2966714400000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))) (.f64 1391746597000000000000/35155743162854883031 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
(-.f64 (+.f64 1 (/.f64 7416786/81897775 (.f64 x (exp.f64 (.f64 x x))))) (+.f64 (/.f64 2966714400000/10731592879921 (.f64 (.f64 x x) (exp.f64 (.f64 x x)))) (/.f64 1391746597000000000000/35155743162854883031 (.f64 (pow.f64 x 3) (exp.f64 (*.f64 x x))))))
(+.f64 1 (-.f64 (/.f64 7416786/81897775 (.f64 x (pow.f64 (exp.f64 x) x))) (+.f64 (/.f64 2966714400000/10731592879921 (.f64 (*.f64 x x) (pow.f64 (exp.f64 x) x))) (/.f64 (/.f64 1391746597000000000000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (exp.f64 x) x)))))
(+.f64 (/.f64 7416786/81897775 (.f64 x (pow.f64 (exp.f64 x) x))) (-.f64 (-.f64 1 (/.f64 (/.f64 1391746597000000000000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (exp.f64 x) x))) (/.f64 (/.f64 2966714400000/10731592879921 (pow.f64 (exp.f64 x) x)) (.f64 x x))))
(+.f64 1 (+.f64 (/.f64 7416786/81897775 (.f64 x (pow.f64 (exp.f64 x) x))) (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (*.f64 x x)) (-.f64 -2966714400000/10731592879921 (/.f64 1391746597000000000000/35155743162854883031 x)))))
(+.f64 1 (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 (+.f64 7416786/81897775 (/.f64 -2966714400000/10731592879921 x)) (/.f64 -1391746597000000000000/35155743162854883031 (.f64 x x)))))

eval511.0ms (4.3%)

Compiler: Compiled 16357 to 12600 computations (23% saved)

prune80.0ms (0.7%)

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	498	10	508
Fresh	6	7	13
Picked	1	0	1
Done	1	4	5
Total	506	21	527

Error

0.0b

Counts

527 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	31.6b	(+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)))
	14.1b	(+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
✓	31.4b	(pow.f64 1/1000000000000000000000000000 1/3)
	53.4b	(+.f64 1 (/.f64 (/.f64 (-.f64 (+.f64 (.f64 -45762100747012417183383/100000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 49970856406748731529211128971/250000000000000000000000000000 (pow.f64 x 3)) (*.f64 4656424909693051/5000000000000000 x))) 1391746597/1000000000) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))
	31.4b	(+.f64 1 (/.f64 (/.f64 (-.f64 8890523/31250000 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 x)) 2)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))
	31.4b	(+.f64 1 (/.f64 (/.f64 (-.f64 8890523/31250000 (+.f64 31853699/125000000 (+.f64 1421413741/1000000000 (*.f64 -4656424909693051/5000000000000000 x)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))
✓	32.1b	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
	35.8b	(+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (+.f64 (.f64 x (+.f64 -3477069720320819/10000000000000000 (.f64 x (+.f64 (.f64 x -37314496653583803988263375299/1000000000000000000000000000000) 11390570944565894491109/100000000000000000000000)))) 1061405429/1000000000)) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
	31.4b	(+.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 4656424909693051/5000000000000000 x) 1391746597/1000000000) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))
	32.4b	(+.f64 (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) (fma.f64 564193179035109/500000000000000 x 1/1000000000))
✓	61.7b	(*.f64 564193179035109/500000000000000 x)
	32.7b	(+.f64 (+.f64 1/1000000000 (.f64 x 564193179035109/500000000000000)) (.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x)))
	62.6b	(-.f64 (*.f64 13872087805710969/10000000000000000 x) 391746597/1000000000)
	61.1b	(sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))
	32.7b	(+.f64 (.f64 x 564193179035109/500000000000000) (fma.f64 x (.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))
✓	13.5b	(+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
	30.9b	(+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (exp.f64 (*.f64 x x))))
	33.8b	(pow.f64 (pow.f64 (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (sqrt.f64 (.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)))) 3) 1/3)
	28.4b	1
	30.2b	1/1000000000
	32.6b	(+.f64 1/1000000000 (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))

Compiler

Compiled 333 to 270 computations (18.9% saved)

regimes83.0ms (0.7%)

Counts

21 → 3

Calls

Call 1

Inputs
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(-.f64 (*.f64 13872087805710969/10000000000000000 x) 391746597/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))
(+.f64 (+.f64 1/1000000000 (.f64 x 564193179035109/500000000000000)) (.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x)))
(pow.f64 1/1000000000000000000000000000 1/3)
(sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))
(+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)))
(+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (exp.f64 (*.f64 x x))))
(+.f64 (.f64 x 564193179035109/500000000000000) (fma.f64 x (.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))
(+.f64 (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) (fma.f64 564193179035109/500000000000000 x 1/1000000000))
(+.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 4656424909693051/5000000000000000 x) 1391746597/1000000000) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))
(+.f64 1 (/.f64 (/.f64 (-.f64 8890523/31250000 (+.f64 31853699/125000000 (+.f64 1421413741/1000000000 (*.f64 -4656424909693051/5000000000000000 x)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))
(pow.f64 (pow.f64 (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (sqrt.f64 (.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)))) 3) 1/3)
(+.f64 1 (/.f64 (/.f64 (-.f64 8890523/31250000 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 x)) 2)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))
(+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (/.f64 (-.f64 (+.f64 (.f64 -45762100747012417183383/100000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 49970856406748731529211128971/250000000000000000000000000000 (pow.f64 x 3)) (*.f64 4656424909693051/5000000000000000 x))) 1391746597/1000000000) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))
(+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (+.f64 (.f64 x (+.f64 -3477069720320819/10000000000000000 (.f64 x (+.f64 (.f64 x -37314496653583803988263375299/1000000000000000000000000000000) 11390570944565894491109/100000000000000000000000)))) 1061405429/1000000000)) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))

Outputs

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

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

Calls

1 calls:

72.0ms

Results

Error	Segments	Branch
0.2b	3	`x`

Compiler

Compiled 315 to 234 computations (25.7% saved)

bsearch103.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	8.846986576458453e-7	0.8188976769651339
52.0ms	-5535816155.602623	-1.9082811248979866e-7

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes36.0ms (0.3%)

Counts

20 → 3

Calls

Call 1

Inputs
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(-.f64 (*.f64 13872087805710969/10000000000000000 x) 391746597/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))
(+.f64 (+.f64 1/1000000000 (.f64 x 564193179035109/500000000000000)) (.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x)))
(pow.f64 1/1000000000000000000000000000 1/3)
(sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))
(+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)))
(+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (exp.f64 (*.f64 x x))))
(+.f64 (.f64 x 564193179035109/500000000000000) (fma.f64 x (.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))
(+.f64 (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) (fma.f64 564193179035109/500000000000000 x 1/1000000000))
(+.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 4656424909693051/5000000000000000 x) 1391746597/1000000000) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))
(+.f64 1 (/.f64 (/.f64 (-.f64 8890523/31250000 (+.f64 31853699/125000000 (+.f64 1421413741/1000000000 (*.f64 -4656424909693051/5000000000000000 x)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))
(pow.f64 (pow.f64 (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (sqrt.f64 (.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)))) 3) 1/3)
(+.f64 1 (/.f64 (/.f64 (-.f64 8890523/31250000 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 x)) 2)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))
(+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (/.f64 (-.f64 (+.f64 (.f64 -45762100747012417183383/100000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 49970856406748731529211128971/250000000000000000000000000000 (pow.f64 x 3)) (*.f64 4656424909693051/5000000000000000 x))) 1391746597/1000000000) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))
(+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (+.f64 (.f64 x (+.f64 -3477069720320819/10000000000000000 (.f64 x (+.f64 (.f64 x -37314496653583803988263375299/1000000000000000000000000000000) 11390570944565894491109/100000000000000000000000)))) 1061405429/1000000000)) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))

Outputs

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

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

Calls

1 calls:

28.0ms

Results

Error	Segments	Branch
0.5b	3	`x`

Compiler

Compiled 274 to 202 computations (26.3% saved)

bsearch101.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	8.846986576458453e-7	0.8188976769651339
51.0ms	-5535816155.602623	-1.9082811248979866e-7

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes87.0ms (0.7%)

Counts

17 → 3

Calls

Call 1

Inputs
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(-.f64 (*.f64 13872087805710969/10000000000000000 x) 391746597/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))
(+.f64 (+.f64 1/1000000000 (.f64 x 564193179035109/500000000000000)) (.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x)))
(pow.f64 1/1000000000000000000000000000 1/3)
(sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))
(+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)))
(+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (exp.f64 (*.f64 x x))))
(+.f64 (.f64 x 564193179035109/500000000000000) (fma.f64 x (.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))
(+.f64 (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) (fma.f64 564193179035109/500000000000000 x 1/1000000000))
(+.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 4656424909693051/5000000000000000 x) 1391746597/1000000000) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))
(+.f64 1 (/.f64 (/.f64 (-.f64 8890523/31250000 (+.f64 31853699/125000000 (+.f64 1421413741/1000000000 (*.f64 -4656424909693051/5000000000000000 x)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))
(pow.f64 (pow.f64 (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (sqrt.f64 (.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)))) 3) 1/3)
(+.f64 1 (/.f64 (/.f64 (-.f64 8890523/31250000 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 x)) 2)))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))

Outputs

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

(+.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 4656424909693051/5000000000000000 x) 1391746597/1000000000) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))

Calls

1 calls:

81.0ms

Results

Error	Segments	Branch
0.5b	3	`x`

Compiler

Compiled 170 to 124 computations (27.1% saved)

bsearch109.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	8.846986576458453e-7	0.8188976769651339
50.0ms	-5535816155.602623	-1.9082811248979866e-7

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes138.0ms (1.2%)

Counts

13 → 3

Calls

Call 1

Inputs
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(-.f64 (*.f64 13872087805710969/10000000000000000 x) 391746597/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))
(+.f64 (+.f64 1/1000000000 (.f64 x 564193179035109/500000000000000)) (.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x)))
(pow.f64 1/1000000000000000000000000000 1/3)
(sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))
(+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)))
(+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (exp.f64 (*.f64 x x))))
(+.f64 (.f64 x 564193179035109/500000000000000) (fma.f64 x (.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))
(+.f64 (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) (fma.f64 564193179035109/500000000000000 x 1/1000000000))

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

Calls

1 calls:

51.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 89 to 63 computations (29.2% saved)

bsearch102.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
50.0ms	0.8188976769651339	1.248670561374677
51.0ms	-5535816155.602623	-1.9082811248979866e-7

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes137.0ms (1.2%)

Counts

10 → 3

Calls

Call 1

Inputs
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(-.f64 (*.f64 13872087805710969/10000000000000000 x) 391746597/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))
(+.f64 (+.f64 1/1000000000 (.f64 x 564193179035109/500000000000000)) (.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x)))
(pow.f64 1/1000000000000000000000000000 1/3)
(sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))
(+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)))

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

Calls

1 calls:

134.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 55 to 41 computations (25.5% saved)

bsearch100.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	0.8188976769651339	1.248670561374677
51.0ms	-5535816155.602623	-1.9082811248979866e-7

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes106.0ms (0.9%)

Counts

9 → 3

Calls

Call 1

Inputs
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(-.f64 (*.f64 13872087805710969/10000000000000000 x) 391746597/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))
(+.f64 (+.f64 1/1000000000 (.f64 x 564193179035109/500000000000000)) (.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x)))
(pow.f64 1/1000000000000000000000000000 1/3)
(sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))

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

Calls

1 calls:

104.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 47 to 36 computations (23.4% saved)

bsearch128.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
78.0ms	0.8188976769651339	1.248670561374677
50.0ms	-1.9082811248979866e-7	-2.459423037176542e-17

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes73.0ms (0.6%)

Counts

6 → 3

Calls

Call 1

Inputs
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(-.f64 (*.f64 13872087805710969/10000000000000000 x) 391746597/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))

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

Calls

1 calls:

71.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 27 to 22 computations (18.5% saved)

bsearch118.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	0.8188976769651339	1.248670561374677
57.0ms	-1.9082811248979866e-7	-2.459423037176542e-17

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes14.0ms (0.1%)

Accuracy

Total -60.9b remaining (-3519.3%)

Threshold costs -60.9b (-3519.3%)

Counts

4 → 3

Calls

Call 1

Inputs
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(-.f64 (*.f64 13872087805710969/10000000000000000 x) 391746597/1000000000)

Outputs
1
1/1000000000
1

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch125.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
61.0ms	8.846986576458453e-7	0.8188976769651339
64.0ms	-5535816155.602623	-1.9082811248979866e-7

Compiler

Compiled 69 to 55 computations (20.3% saved)

simplify33.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

25×	`+-commutative_binary64`
15×	`*-commutative_binary64`
13×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	331
1	106	331
2	118	331
3	134	331
4	151	331
5	164	331
6	173	331
7	183	331
8	192	331
9	195	331
10	196	331

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x -725590495147147/131072) 1 (if (<=.f64 x 4177871288306507/4722366482869645213696) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
(if (<=.f64 x -725590495147147/131072) 1 (if (<=.f64 x 4177871288306507/4722366482869645213696) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
(if (<=.f64 x -725590495147147/131072) 1 (if (<=.f64 x 4177871288306507/4722366482869645213696) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 4656424909693051/5000000000000000 x) 1391746597/1000000000) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))))
(if (<=.f64 x -725590495147147/131072) 1 (if (<=.f64 x 15105995869531103232/18446744073709551616) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (exp.f64 (*.f64 x x))))))
(if (<=.f64 x -725590495147147/131072) 1 (if (<=.f64 x 15105995869531103232/18446744073709551616) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) 1))
(if (<=.f64 x -1802320564822207/9444732965739290427392) 1 (if (<=.f64 x 15105995869531103232/18446744073709551616) (+.f64 (+.f64 1/1000000000 (.f64 x 564193179035109/500000000000000)) (.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x))) 1))
(if (<=.f64 x -1802320564822207/9444732965739290427392) 1 (if (<=.f64 x 15105995869531103232/18446744073709551616) (+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x)) 1))
(if (<=.f64 x -725590495147147/131072) 1 (if (<=.f64 x 4177871288306507/4722366482869645213696) 1/1000000000 1))
1/1000000000

Outputs
(if (<=.f64 x -725590495147147/131072) 1 (if (<=.f64 x 4177871288306507/4722366482869645213696) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
(if (<=.f64 x -725590495147147/131072) 1 (if (<=.f64 x 4177871288306507/4722366482869645213696) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
(if (<=.f64 x -725590495147147/131072) 1 (if (<=.f64 x 4177871288306507/4722366482869645213696) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 4656424909693051/5000000000000000 x) 1391746597/1000000000) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))))
(if (<=.f64 x -725590495147147/131072) 1 (if (<=.f64 x 4177871288306507/4722366482869645213696) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (/.f64 (/.f64 (+.f64 (*.f64 x 4656424909693051/5000000000000000) -1391746597/1000000000) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 x 1)))))
(if (<=.f64 x -725590495147147/131072) 1 (if (<=.f64 x 15105995869531103232/18446744073709551616) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (exp.f64 (*.f64 x x))))))
(if (<=.f64 x -725590495147147/131072) 1 (if (<=.f64 x 1843993636417371/2251799813685248) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) (+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (exp.f64 (*.f64 x x))))))
(if (<=.f64 x -725590495147147/131072) 1 (if (<=.f64 x 15105995869531103232/18446744073709551616) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) 1))
(if (<=.f64 x -725590495147147/131072) 1 (if (<=.f64 x 1843993636417371/2251799813685248) (+.f64 1/1000000000 (sqrt.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000))) 1))
(if (<=.f64 x -1802320564822207/9444732965739290427392) 1 (if (<=.f64 x 15105995869531103232/18446744073709551616) (+.f64 (+.f64 1/1000000000 (.f64 x 564193179035109/500000000000000)) (.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x))) 1))
(if (<=.f64 x -1802320564822207/9444732965739290427392) 1 (if (<=.f64 x 1843993636417371/2251799813685248) (+.f64 (+.f64 1/1000000000 (.f64 x 564193179035109/500000000000000)) (.f64 (*.f64 x x) -2364858879768868679/20000000000000000000000)) 1))
(if (<=.f64 x -1802320564822207/9444732965739290427392) 1 (if (<=.f64 x 15105995869531103232/18446744073709551616) (+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x)) 1))
(if (<=.f64 x -1802320564822207/9444732965739290427392) 1 (if (<=.f64 x 1843993636417371/2251799813685248) (+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000)) 1))
(if (<=.f64 x -725590495147147/131072) 1 (if (<=.f64 x 4177871288306507/4722366482869645213696) 1/1000000000 1))
1/1000000000

end156.0ms (1.3%)

Stop Event

1×

fuel

Compiler

Compiled 468 to 359 computations (23.3% saved)

Iter	Nodes	Cost
0	81	331
1	106	331
2	118	331
3	134	331
4	151	331
5	164	331
6	173	331
7	183	331
8	192	331
9	195	331
10	196	331

Iter	Nodes	Cost
0	81	331
1	106	331
2	118	331
3	134	331
4	151	331
5	164	331
6	173	331
7	183	331
8	192	331
9	195	331
10	196	331

Iter	Nodes	Cost
0	81	331
1	106	331
2	118	331
3	134	331
4	151	331
5	164	331
6	173	331
7	183	331
8	192	331
9	195	331
10	196	331