Details

analyze96.0ms (1.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	24.7%	75.3%	0
0%	24.7%	75.3%	1
0%	24.7%	75.3%	2
12.4%	12.4%	75.3%	3
12.4%	12.4%	75.3%	4
18.5%	6.2%	75.3%	5
18.5%	6.2%	75.3%	6
21.6%	3.1%	75.3%	7
21.6%	3.1%	75.3%	8
23.2%	1.5%	75.3%	9
23.2%	1.5%	75.3%	10
23.9%	0.8%	75.3%	11
23.9%	0.8%	75.3%	12
24.3%	0.4%	75.3%	13
24.3%	0.4%	75.3%	14

Compiler

Compiled 35 to 18 computations (48.6% saved)

sample152.0ms (1.9%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 65 to 33 computations (49.2% saved)

simplify77.0ms (1%)

Algorithm

1×	egg-herbie

Rules

505×	`fma-def_binary32`
440×	`times-frac_binary32`
349×	`distribute-rgt-in_binary32`
300×	`fma-neg_binary32`
273×	`distribute-rgt-out_binary32`

Counts

1 → 2

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	38	43
2	82	41
3	181	41
4	357	39
5	772	30
6	2292	29
7	3341	29
8	4243	29
9	4922	29
10	4875	29

prune4.0ms (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

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.3b	(/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))
▶	0.2b	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Status

Error

Program

0.3b

(/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))

▶

0.2b

(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Compiler

Compiled 142 to 75 computations (47.2% saved)

localize36.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
✓	0.0b	(*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
✓	0.0b	(.f32 (.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
✓	0.2b	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

series196.0ms (2.4%)

Counts

4 → 96

Calls

4 calls:

140.0ms	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
27.0ms	(.f32 (.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
17.0ms	(*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
11.0ms	(+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))

rewrite64.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-cbrt-cube_binary32`
18×	`associate-*r/_binary32`
17×	`add-exp-log_binary32`
16×	`*-un-lft-identity_binary32`
14×	`flip-+_binary32`

Counts

4 → 108

Calls

4 calls:

26.0ms	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
14.0ms	(.f32 (.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
9.0ms	(*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
6.0ms	(+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))

simplify122.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

880×	`distribute-rgt-in_binary32`
849×	`distribute-lft-in_binary32`
246×	`times-frac_binary32`
205×	`associate-l_binary32`
156×	`associate-/r*_binary32`

Counts

204 → 210

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	5521
1	618	4967
2	2344	4928
3	5496	4928

prune374.0ms (4.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	240	4	244
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	241	5	246

Error

0.0b

Counts

246 → 5

Alt Table

Status	Error	Program
	0.2b	(/.f32 1 (.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2)) (exp.f32 (/.f32 (fabs.f32 x) s))))
	1.0b	(exp.f32 (-.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (log.f32 s) (*.f32 2 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))))
	0.3b	(/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))
	0.2b	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
▶	0.2b	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (log.f32 (*.f32 (exp.f32 1) (exp.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Compiler

Compiled 8981 to 3096 computations (65.5% saved)

localize53.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f32 (.f32 s (log.f32 (*.f32 (exp.f32 1) (exp.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
✓	0.2b	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (log.f32 (*.f32 (exp.f32 1) (exp.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
✓	0.2b	(*.f32 (exp.f32 1) (exp.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
✓	0.7b	(log.f32 (*.f32 (exp.f32 1) (exp.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

series2.0s (24.4%)

Counts

4 → 96

Calls

4 calls:

722.0ms	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (log.f32 (*.f32 (exp.f32 1) (exp.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
648.0ms	(.f32 (.f32 s (log.f32 (*.f32 (exp.f32 1) (exp.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
563.0ms	(log.f32 (*.f32 (exp.f32 1) (exp.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
20.0ms	(*.f32 (exp.f32 1) (exp.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))

rewrite66.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-cbrt-cube_binary32`
19×	`*-un-lft-identity_binary32`
18×	`pow1_binary32`
16×	`add-exp-log_binary32`
11×	`add-sqr-sqrt_binary32`

Counts

4 → 94

Calls

4 calls:

29.0ms	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (log.f32 (*.f32 (exp.f32 1) (exp.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
15.0ms	(.f32 (.f32 s (log.f32 (*.f32 (exp.f32 1) (exp.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
8.0ms	(*.f32 (exp.f32 1) (exp.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
7.0ms	(log.f32 (*.f32 (exp.f32 1) (exp.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

simplify155.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

923×	`fma-def_binary32`
308×	`associate-/l/_binary32`
297×	`fma-neg_binary32`
245×	`cancel-sign-sub-inv_binary32`
209×	`associate-l_binary32`

Counts

190 → 188

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	274	6270
1	672	5331
2	2644	4880
3	4739	4877
4	5075	4877

prune277.0ms (3.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	185	3	188
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	187	6	193

Error

0.0b

Counts

193 → 6

Alt Table

Status	Error	Program
	1.0b	(exp.f32 (-.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 2 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s))))
	0.2b	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (log.f32 (expm1.f32 (log1p.f32 (exp.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)))))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
	0.3b	(/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))
▶	0.2b	(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))
	0.2b	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
✓	0.2b	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (log.f32 (*.f32 (exp.f32 1) (exp.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Compiler

Compiled 7479 to 2842 computations (62% saved)

localize37.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
✓	0.0b	(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)
✓	0.0b	(*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
✓	0.2b	(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))

series174.0ms (2.2%)

Counts

4 → 80

Calls

4 calls:

123.0ms	(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))
29.0ms	(*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
11.0ms	(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
11.0ms	(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)

rewrite61.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`exp-prod_binary32`
46×	`add-sqr-sqrt_binary32`
45×	`times-frac_binary32`
42×	`*-un-lft-identity_binary32`
38×	`add-cube-cbrt_binary32`

Counts

4 → 136

Calls

4 calls:

18.0ms	(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))
15.0ms	(*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
8.0ms	(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)
5.0ms	(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))

simplify142.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

678×	`associate-/r*_binary32`
400×	`distribute-rgt-in_binary32`
375×	`distribute-lft-in_binary32`
374×	`fma-def_binary32`
282×	`associate-/l/_binary32`

Counts

216 → 218

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	275	5523
1	636	5007
2	2018	4947
3	5249	4947

prune499.0ms (6.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	395	3	398
Fresh	2	2	4
Picked	1	0	1
Done	1	0	1
Total	399	5	404

Error

0.0b

Counts

404 → 5

Alt Table

Status	Error	Program
	1.0b	(exp.f32 (-.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 2 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s))))
▶	0.2b	(/.f32 (pow.f32 (exp.f32 -1) (/.f32 (fabs.f32 x) s)) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))
	0.3b	(/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))
	0.2b	(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) (fma.f32 s (pow.f32 (exp.f32 (neg.f32 1)) (/.f32 (fabs.f32 x) s)) s)))
	0.2b	(/.f32 (pow.f32 (exp.f32 (neg.f32 (/.f32 (.f32 (cbrt.f32 x) (cbrt.f32 x)) (.f32 (cbrt.f32 s) (cbrt.f32 s))))) (/.f32 (fabs.f32 (cbrt.f32 x)) (cbrt.f32 s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))

Compiler

Compiled 13481 to 3138 computations (76.7% saved)

localize106.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
	0.0b	(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)
	0.0b	(*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
✓	0.2b	(/.f32 (pow.f32 (exp.f32 -1) (/.f32 (fabs.f32 x) s)) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))

series362.0ms (4.5%)

Counts

1 → 24

Calls

1 calls:

362.0ms

(/.f32 (pow.f32 (exp.f32 -1) (/.f32 (fabs.f32 x) s)) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-exp-log_binary32`
7×	`associate-/l*_binary32`
7×	`times-frac_binary32`
6×	`unpow-prod-down_binary32`
6×	`add-cbrt-cube_binary32`

Counts

1 → 37

Calls

1 calls:

12.0ms

(/.f32 (pow.f32 (exp.f32 -1) (/.f32 (fabs.f32 x) s)) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))

simplify93.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

743×	`associate-/l*_binary32`
545×	`associate-/r*_binary32`
345×	`distribute-rgt-in_binary32`
331×	`distribute-lft-in_binary32`
279×	`associate-*l/_binary32`

Counts

61 → 70

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	2826
1	328	2535
2	1188	2510
3	4824	2510
4	4961	2510

prune434.0ms (5.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	323	2	325
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	325	5	330

Error

0.0b

Counts

330 → 5

Alt Table

Status	Error	Program
	1.0b	(exp.f32 (-.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 2 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s))))
✓	0.2b	(/.f32 (pow.f32 (exp.f32 -1) (/.f32 (fabs.f32 x) s)) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))
	0.2b	(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)))
	0.3b	(/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))
	0.2b	(/.f32 (sqrt.f32 (pow.f32 (exp.f32 -1) (/.f32 (fabs.f32 x) s))) (/.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (/.f32 (sqrt.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1))))

Compiler

Compiled 11289 to 3618 computations (68% saved)

regimes1.1s (14.4%)

Accuracy

Total 0.1b remaining (59.7%)

Threshold costs 0.1b (59.7%)

Counts

162 → 1

Compiler

Compiled 24541 to 13406 computations (45.4% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary32`
3×	`*-commutative_binary32`
2×	`sub-neg_binary32`
2×	`neg-sub0_binary32`
2×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	59
1	25	59
2	29	59
3	32	59
4	33	59
5	32	59

end1.0ms (0%)

Compiler: Compiled 38 to 20 computations (47.4% saved)

sample1.3s (16.3%)

Algorithm

1×

intervals

Results

630.0ms	8000×	body	128	valid
143.0ms	8000×	pre	128	true

Compiler

Compiled 207 to 108 computations (47.8% saved)

Details

analyze96.0ms (1.2%)

sample152.0ms (1.9%)

simplify77.0ms (1%)

prune4.0ms (0%)

localize36.0ms (0.5%)

series196.0ms (2.4%)

rewrite64.0ms (0.8%)

simplify122.0ms (1.5%)

prune374.0ms (4.7%)

localize53.0ms (0.7%)

series2.0s (24.4%)

rewrite66.0ms (0.8%)

simplify155.0ms (1.9%)

prune277.0ms (3.5%)

localize37.0ms (0.5%)

series174.0ms (2.2%)

rewrite61.0ms (0.8%)

simplify142.0ms (1.8%)

prune499.0ms (6.2%)

localize106.0ms (1.3%)

series362.0ms (4.5%)

rewrite16.0ms (0.2%)

simplify93.0ms (1.2%)

prune434.0ms (5.4%)

regimes1.1s (14.4%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.3s (16.3%)

Profiling