Details

analyze158.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
90.6%	9.4%	0%	7
93.7%	6.2%	0%	8
94.5%	5.5%	0%	9
95.3%	4.7%	0%	10
95.7%	4.3%	0%	11
95.8%	4.2%	0%	12
95.8%	4.2%	0%	13
95.8%	4.1%	0%	14

Compiler

Compiled 66 to 53 computations (19.7% saved)

sample2.2s (1.5%)

Results

2.1s

8256×

body

128

valid

Compiler

Compiled 131 to 105 computations (19.8% saved)

simplify54.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	93
1	91	69
2	270	69
3	825	69
4	2840	69
5	4839	69
6	5074	69

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

13.7b

Counts

3 → 2

Alt Table

Status	Error	Program
	13.7b	(-.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) (exp.f64 (.f64 x x)))))
▶	13.7b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Status

Error

Program

13.7b

(-.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) (exp.f64 (*.f64 x x)))))

▶

13.7b

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

Compiler

Compiled 335 to 262 computations (21.8% saved)

localize22.0ms (0%)

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))
✓	13.6b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

series450.0ms (0.3%)

Counts

4 → 36

Calls

4 calls:

362.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
67.0ms	(+.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))))
18.0ms	(+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))
2.0ms	(*.f64 3275911/10000000 (fabs.f64 x))

rewrite17.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
10×	`add-log-exp_binary64`
7×	`associate-r_binary64`

Counts

4 → 80

Calls

4 calls:

4.0ms	(+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))
3.0ms	(*.f64 3275911/10000000 (fabs.f64 x))
3.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
3.0ms	(+.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))))

simplify156.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

654×	`fma-def_binary64`
356×	`associate-*l/_binary64`
300×	`associate-*r/_binary64`
217×	`cancel-sign-sub-inv_binary64`
212×	`fma-neg_binary64`

Counts

116 → 131

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	6399
1	486	4719
2	1624	4340
3	4380	4340
4	4852	4340

prune689.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	275	4	279
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	277	4	281

Error

13.6b

Counts

281 → 4

Alt Table

Status	Error	Program
	13.7b	(.f64 (.f64 (cbrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))))) (cbrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x))))))) (cbrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))))))
	14.5b	(-.f64 (+.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) 8890523/31250000))) (+.f64 (/.f64 1061405429/1000000000 (.f64 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 5) (exp.f64 (.f64 x x)))) (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) 31853699/125000000))))
	13.7b	(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3)) (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 (pow.f64 (exp.f64 (.f64 x x)) -2) (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (exp.f64 (neg.f64 (.f64 x x)))) 1))
▶	13.7b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 21404 to 15701 computations (26.6% saved)

localize25.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))))
✓	0.4b	(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
	0.5b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	13.6b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

series569.0ms (0.4%)

Counts

3 → 24

Calls

3 calls:

363.0ms

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

161.0ms

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

44.0ms

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

rewrite30.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64`
35×	`times-frac_binary64`
31×	`*-un-lft-identity_binary64`
30×	`add-cube-cbrt_binary64`
21×	`add-exp-log_binary64`

Counts

3 → 124

Calls

3 calls:

8.0ms

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

6.0ms

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

3.0ms

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

simplify228.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

854×	`fma-def_binary64`
314×	`associate-/l*_binary64`
242×	`cancel-sign-sub-inv_binary64`
215×	`fma-neg_binary64`
197×	`exp-prod_binary64`

Counts

148 → 191

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	10165
1	603	7635
2	2172	7230
3	4748	7230
4	4940	7230

prune1.1s (0.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	373	3	376
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	375	5	380

Error

13.6b

Counts

380 → 5

Alt Table

Status	Error	Program
	13.7b	(.f64 (.f64 (cbrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))))) (cbrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x))))))) (cbrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))))))
	14.5b	(-.f64 (+.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) 8890523/31250000))) (+.f64 (/.f64 1061405429/1000000000 (.f64 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 5) (exp.f64 (.f64 x x)))) (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) 31853699/125000000))))
	14.4b	(log.f64 (exp.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (+.f64 1421413741/1000000000 (/.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))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))))))
	13.7b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (expm1.f64 (log1p.f64 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (+.f64 1421413741/1000000000 (/.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))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
▶	13.7b	(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (+.f64 1421413741/1000000000 (/.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))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3)) (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (+.f64 1421413741/1000000000 (/.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))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 (pow.f64 (exp.f64 (.f64 x x)) -2) (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (+.f64 1421413741/1000000000 (/.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))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (exp.f64 (neg.f64 (.f64 x x)))) 1))

Compiler

Compiled 30282 to 22555 computations (25.5% saved)

localize29.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (+.f64 1421413741/1000000000 (/.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))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3)) (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (+.f64 1421413741/1000000000 (/.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))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 (pow.f64 (exp.f64 (.f64 x x)) -2) (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (+.f64 1421413741/1000000000 (/.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))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (exp.f64 (neg.f64 (.f64 x x)))) 1))
✓	0.5b	(pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (+.f64 1421413741/1000000000 (/.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))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3)
✓	0.5b	(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))
✓	13.1b	(-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (+.f64 1421413741/1000000000 (/.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))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3))

series2.4min (96.2%)

Calls

3 calls:

1.0min

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

589.0ms

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

47.0ms

(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))

Details

analyze158.0ms (0.1%)

sample2.2s (1.5%)

simplify54.0ms (0%)

prune7.0ms (0%)

localize22.0ms (0%)

series450.0ms (0.3%)

rewrite17.0ms (0%)

simplify156.0ms (0.1%)

prune689.0ms (0.5%)

localize25.0ms (0%)

series569.0ms (0.4%)

rewrite30.0ms (0%)

simplify228.0ms (0.2%)

prune1.1s (0.7%)

localize29.0ms (0%)

series2.4min (96.2%)

Profiling