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)

sample1.7s (11.2%)

Results

1.7s

8256×

body

128

valid

Compiler

Compiled 132 to 106 computations (19.7% saved)

preprocess38.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

578×	`times-frac_binary64`
389×	`fma-def_binary64`
379×	`distribute-rgt-in_binary64`
367×	`fma-neg_binary64`
358×	`distribute-lft-in_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 65 to 52 computations (20% saved)

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

578×	`times-frac_binary64`
389×	`fma-def_binary64`
379×	`distribute-rgt-in_binary64`
367×	`fma-neg_binary64`
358×	`distribute-lft-in_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))))

prune7.0ms (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

13.9b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	13.9b	(-.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 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))))))
	13.9b	(+.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))))

Status

Error

Program

▶

13.9b

(-.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 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))))))

13.9b

(+.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 335 to 262 computations (21.8% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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))
✓	13.9b	(-.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 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))))))

series331.0ms (2.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
90.0ms	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))))))
89.0ms	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))))))
81.0ms	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))))))
18.0ms	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))))
17.0ms	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))))

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

321×	`add-sqr-sqrt_binary64`
305×	`pow1_binary64`
302×	`add-log-exp_binary64`
301×	`add-cbrt-cube_binary64`
301×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	131
1	642	131

Stop Event

1×	node limit

Counts

4 → 41

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 (neg.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x))))))))) (#(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 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (exp.f64 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simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

569×	`fma-def_binary64`
412×	`times-frac_binary64`
334×	`associate-/r*_binary64`
289×	`cancel-sign-sub-inv_binary64`
267×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	2208
1	126	1848
2	350	1704
3	1274	1572

Stop Event

1×	node limit

Counts

77 → 47

Calls

Call 1

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

prune243.0ms (1.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	68	5	73

Error

13.9b

Counts

73 → 5

Alt Table

Status	Error	Program
	13.9b	(.f64 (.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 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x)))))) (cbrt.f64 (-.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x))))))) (cbrt.f64 (-.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))))))
	13.9b	(-.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 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (log.f64 (exp.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
	13.9b	(exp.f64 (log.f64 (-.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))))))
	14.7b	(log.f64 (exp.f64 (-.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))))))
▶	13.9b	(/.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 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x)))) 3)) (+.f64 1 (+.f64 (.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x)))) (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x))))) (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))))))

Compiler

Compiled 6425 to 4754 computations (26% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
✓	0.5b	(pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))) 3)
✓	0.8b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
✓	13.4b	(-.f64 1 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))) 3))

series1.2s (7.8%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
356.0ms	x	@	-inf	(-.f64 1 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))) 3))
350.0ms	x	@	inf	(-.f64 1 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))) 3))
123.0ms	x	@	0	(-.f64 1 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))) 3))
103.0ms	x	@	-inf	(pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))) 3)
100.0ms	x	@	inf	(pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))) 3)

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

322×	`add-sqr-sqrt_binary64`
304×	`add-log-exp_binary64`
304×	`pow1_binary64`
303×	`add-cbrt-cube_binary64`
303×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	209
1	654	209

Stop Event

1×	node limit

Counts

4 → 45

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (.f64 x (neg.f64 x)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (.f64 x (neg.f64 x)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.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 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (.f64 x (neg.f64 x)))) 3))) (cbrt.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 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (.f64 x (neg.f64 x)))) 3)))) (cbrt.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 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (.f64 x (neg.f64 x)))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.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 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (.f64 x (neg.f64 x)))) 3))) (sqrt.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 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (.f64 x (neg.f64 x)))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (.f64 x (neg.f64 x)))) 3) 3)) (+.f64 1 (+.f64 (.f64 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (.f64 x (neg.f64 x)))) 3) (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (.f64 x (neg.f64 x)))) 3)) (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (.f64 x (neg.f64 x)))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.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 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 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simplify122.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

762×	`associate-+r+_binary64`
496×	`fma-def_binary64`
421×	`associate-+l+_binary64`
174×	`times-frac_binary64`
166×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	391	9208
1	1277	8340

Stop Event

1×	node limit

Counts

93 → 70

Calls

Call 1

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

prune1.6s (10.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	145	3	148
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	148	5	153

Error

13.1b

Counts

153 → 5

Alt Table

Status	Error	Program
	14.7b	(log.f64 (exp.f64 (-.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))))))
	13.9b	(/.f64 (-.f64 1 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (log.f64 (exp.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x)))) 3)) (+.f64 1 (+.f64 (.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x)))) (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x))))) (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))))))
	14.5b	(/.f64 (log.f64 (exp.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 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (.f64 x (neg.f64 x)))) 3)))) (+.f64 1 (+.f64 (.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x)))) (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x))))) (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))))))
	13.9b	(.f64 (.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 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x)))))) (cbrt.f64 (-.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x))))))) (cbrt.f64 (-.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))))))
▶	13.1b	(/.f64 (-.f64 1 (log1p.f64 (expm1.f64 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (.f64 x (neg.f64 x)))) 3)))) (+.f64 1 (+.f64 (.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x)))) (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x))))) (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))))))

Compiler

Compiled 41166 to 30057 computations (27% saved)

localize59.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (*.f64 x (neg.f64 x)))) 3)
	0.5b	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
	0.8b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
✓	13.4b	(-.f64 1 (log1p.f64 (expm1.f64 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (*.f64 x (neg.f64 x)))) 3))))

series2.0s (12.8%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
612.0ms	x	@	inf	(-.f64 1 (log1p.f64 (expm1.f64 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (*.f64 x (neg.f64 x)))) 3))))
603.0ms	x	@	-inf	(-.f64 1 (log1p.f64 (expm1.f64 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (*.f64 x (neg.f64 x)))) 3))))
215.0ms	x	@	0	(-.f64 1 (log1p.f64 (expm1.f64 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (*.f64 x (neg.f64 x)))) 3))))
193.0ms	x	@	0	(pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (*.f64 x (neg.f64 x)))) 3)
178.0ms	x	@	-inf	(pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (*.f64 x (neg.f64 x)))) 3)

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

330×	`add-sqr-sqrt_binary64`
313×	`pow1_binary64`
313×	`expm1-log1p-u_binary64`
312×	`add-log-exp_binary64`
312×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	165
1	675	165

Stop Event

1×	node limit

Counts

2 → 23

Calls

Call 1

Inputs

(-.f64 1 (log1p.f64 (expm1.f64 (pow.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (*.f64 x (neg.f64 x)))) 3))))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (exp.f64 x) (neg.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (exp.f64 x) (neg.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 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simplify232.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

759×	`associate-+r+_binary64`
494×	`fma-def_binary64`
420×	`associate-+l+_binary64`
183×	`times-frac_binary64`
168×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	386	8644
1	1255	7848

Stop Event

1×	node limit

Counts

47 → 44

Calls

Call 1

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

prune2.0s (12.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	149	4	153

Error

13.1b

Counts

153 → 4

Alt Table

Status	Error	Program
	14.5b	(/.f64 (log.f64 (exp.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 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (.f64 x (neg.f64 x)))) 3)))) (+.f64 1 (+.f64 (.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x)))) (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x))))) (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))))))
	13.9b	(.f64 (.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 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x)))))) (cbrt.f64 (-.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x))))))) (cbrt.f64 (-.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))))))
▶	13.1b	(/.f64 (-.f64 1 (log1p.f64 (expm1.f64 (.f64 (/.f64 (pow.f64 (exp.f64 (.f64 x (neg.f64 x))) 3) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (pow.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (-.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))))) 3))))) (+.f64 1 (+.f64 (.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x)))) (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x))))) (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x)))))))
	13.9b	(/.f64 (-.f64 1 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (log.f64 (exp.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x)))) 3)) (+.f64 1 (+.f64 (.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x)))) (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x))))) (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))))))

Compiler

Compiled 41333 to 30248 computations (26.8% saved)

localize95.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
✓	0.8b	(-.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
	0.8b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
✓	13.4b	(-.f64 1 (log1p.f64 (expm1.f64 (.f64 (/.f64 (pow.f64 (exp.f64 (.f64 x (neg.f64 x))) 3) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (pow.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (-.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))))) 3)))))

series1.5s (9.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
584.0ms	x	@	inf	(-.f64 1 (log1p.f64 (expm1.f64 (.f64 (/.f64 (pow.f64 (exp.f64 (.f64 x (neg.f64 x))) 3) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (pow.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (-.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))))) 3)))))
482.0ms	x	@	-inf	(-.f64 1 (log1p.f64 (expm1.f64 (.f64 (/.f64 (pow.f64 (exp.f64 (.f64 x (neg.f64 x))) 3) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (pow.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (-.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))))) 3)))))
202.0ms	x	@	0	(-.f64 1 (log1p.f64 (expm1.f64 (.f64 (/.f64 (pow.f64 (exp.f64 (.f64 x (neg.f64 x))) 3) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (pow.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (-.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))))) 3)))))
49.0ms	x	@	-inf	(-.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
46.0ms	x	@	inf	(-.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

363×	`expm1-log1p-u_binary64`
362×	`add-log-exp_binary64`
362×	`log1p-expm1-u_binary64`
361×	`pow1_binary64`
358×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	142
1	801	142

Stop Event

1×	node limit

Counts

3 → 34

Calls

Call 1

Inputs

(-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 (*.f64 x (neg.f64 x))) 3) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (pow.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (-.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))))) 3)))))

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

(/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) 3) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (pow.f64 (+.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 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) 3) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (pow.f64 (+.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 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) 3) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (pow.f64 (+.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 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))) 3)))) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) 3) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (pow.f64 (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (/.f64 1421413741/1000000000 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((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))) (cbrt.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)))) (cbrt.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))) (sqrt.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))))

simplify200.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

664×	`associate-+r+_binary64`
428×	`fma-def_binary64`
360×	`associate-+l+_binary64`
336×	`+-commutative_binary64`
155×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	355	6220
1	1114	5654
2	4671	5090

Stop Event

1×	node limit

Counts

70 → 49

Calls

Call 1

Inputs
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(/.f64 1453152027/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))

Outputs
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(/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))
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(/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
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(/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))
(/.f64 1453152027/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))

prune1.1s (7.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	88	4	92

Error

13.1b

Counts

92 → 4

Alt Table

Status	Error	Program
	14.5b	(/.f64 (log.f64 (exp.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 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (.f64 x (neg.f64 x)))) 3)))) (+.f64 1 (+.f64 (.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x)))) (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x))))) (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))))))
	13.9b	(.f64 (.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 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x)))))) (cbrt.f64 (-.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x))))))) (cbrt.f64 (-.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))))))
	13.1b	(/.f64 (-.f64 1 (log1p.f64 (expm1.f64 (.f64 (/.f64 (pow.f64 (exp.f64 (.f64 x (neg.f64 x))) 3) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (pow.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (-.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))))) 3))))) (+.f64 1 (+.f64 (.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x)))) (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x))))) (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (cbrt.f64 (.f64 (.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x)))))))
	13.9b	(/.f64 (-.f64 1 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (log.f64 (exp.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x)))) 3)) (+.f64 1 (+.f64 (.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x)))) (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (.f64 x x))))) (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))))))

Compiler

Compiled 24319 to 17995 computations (26% saved)

regimes2.2s (14.4%)

Accuracy

Total 0.0b remaining (0.2%)

Threshold costs 0.0b (0.2%)

Counts

110 → 1

Compiler

Compiled 88556 to 66716 computations (24.7% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative_binary64`
6×	`*-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	335
1	61	335
2	68	335
3	72	335
4	73	335

Stop Event

1×

saturated

Calls

Call 1

Inputs

(/.f64 (-.f64 1 (log1p.f64 (expm1.f64 (log.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (exp.f64 x) (neg.f64 x))) 3)))))) (+.f64 1 (+.f64 (*.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))) (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x))))) (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))))))

Outputs

(/.f64 (-.f64 1 (log1p.f64 (expm1.f64 (log.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (exp.f64 x) (neg.f64 x))) 3)))))) (+.f64 1 (+.f64 (*.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))) (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x))))) (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (neg.f64 (*.f64 x x)))))))

(/.f64 (-.f64 1 (log1p.f64 (expm1.f64 (log.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (exp.f64 x) (neg.f64 x))) 3)))))) (+.f64 1 (+.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (*.f64 x (neg.f64 x)))) (*.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (*.f64 x (neg.f64 x)))) (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (exp.f64 (*.f64 x (neg.f64 x))))))))

end485.0ms (3.1%)

Stop Event

1×

fuel

Compiler

Compiled 1254 to 939 computations (25.1% saved)

Details

analyze1.0ms (0%)

sample1.7s (11.2%)

preprocess38.0ms (0.2%)

simplify28.0ms (0.2%)

prune7.0ms (0%)

localize22.0ms (0.1%)

series331.0ms (2.1%)

rewrite57.0ms (0.4%)

simplify52.0ms (0.3%)

prune243.0ms (1.6%)

localize25.0ms (0.2%)

series1.2s (7.8%)

rewrite63.0ms (0.4%)

simplify122.0ms (0.8%)

prune1.6s (10.2%)

localize59.0ms (0.4%)

series2.0s (12.8%)

rewrite81.0ms (0.5%)

simplify232.0ms (1.5%)

prune2.0s (12.7%)

localize95.0ms (0.6%)

series1.5s (9.5%)

rewrite78.0ms (0.5%)

simplify200.0ms (1.3%)

prune1.1s (7.1%)

regimes2.2s (14.4%)

simplify8.0ms (0.1%)

end485.0ms (3.1%)

Profiling