Details

analyze102.0ms (1%)

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)

sample1.6s (15.9%)

Results

1.5s

8256×

body

128

valid

Compiler

Compiled 98 to 49 computations (50% saved)

simplify77.0ms (0.8%)

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

0.2b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.4b	(/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))
▶	0.3b	(/.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

0.4b

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

▶

0.3b

(/.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)

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series185.0ms (1.9%)

Counts

4 → 96

Calls

4 calls:

135.0ms	(/.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))))
12.0ms	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
11.0ms	(+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))

rewrite70.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`exp-prod_binary32`
57×	`times-frac_binary32`
48×	`add-sqr-sqrt_binary32`
46×	`*-un-lft-identity_binary32`
42×	`add-cube-cbrt_binary32`

Counts

4 → 153

Calls

4 calls:

27.0ms	(/.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)))))
15.0ms	(.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))))
10.0ms	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
6.0ms	(+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))

simplify135.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

857×	`distribute-rgt-in_binary32`
838×	`fma-def_binary32`
248×	`times-frac_binary32`
170×	`associate-l_binary32`
162×	`associate-/l*_binary32`

Counts

249 → 261

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	5813
1	750	5303
2	2630	5170
3	5339	5170

prune581.0ms (5.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	492	5	497
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	494	5	499

Error

0.0b

Counts

499 → 5

Alt Table

Status	Error	Program
	0.7b	(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 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)))))
	27.3b	(fma.f32 (/.f32 (*.f32 x x) (pow.f32 s 3)) -1/16 (/.f32 1/4 s))
	0.8b	(exp.f32 (log.f32 (/.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)))))))
	0.2b	(/.f32 1 (/.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))

Compiler

Compiled 17572 to 5388 computations (69.3% saved)

localize57.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
✓	0.0b	(.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))))
✓	0.1b	(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 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)))))

series248.0ms (2.5%)

Counts

3 → 40

Calls

3 calls:

190.0ms

(/.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)))))

41.0ms

(*.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))))

17.0ms

(pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)

rewrite33.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary32`
11×	`add-sqr-sqrt_binary32`
10×	`add-cbrt-cube_binary32`
9×	`add-cube-cbrt_binary32`
8×	`add-exp-log_binary32`

Counts

3 → 74

Calls

3 calls:

17.0ms

(/.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)))))

9.0ms

(*.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))))

2.0ms

(pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)

simplify114.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

554×	`distribute-rgt-in_binary32`
516×	`distribute-lft-in_binary32`
453×	`fma-def_binary32`
187×	`fma-neg_binary32`
152×	`associate-/l/_binary32`

Counts

114 → 144

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	4153
1	450	3512
2	1596	3343
3	4648	3343
4	4961	3343

prune322.0ms (3.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	244	1	245
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	246	4	250

Error

0.0b

Counts

250 → 4

Alt Table

Status	Error	Program
	0.7b	(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 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)))))
▶	0.3b	(/.f32 1 (*.f32 (fma.f32 s (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s) (exp.f32 (/.f32 (fabs.f32 x) s))))
	0.8b	(exp.f32 (log.f32 (/.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 9675 to 4728 computations (51.1% saved)

localize47.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f32 s (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s)
✓	0.1b	(/.f32 1 (*.f32 (fma.f32 s (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s) (exp.f32 (/.f32 (fabs.f32 x) s))))
✓	0.1b	(pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)
✓	0.2b	(*.f32 (fma.f32 s (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s) (exp.f32 (/.f32 (fabs.f32 x) s)))

series385.0ms (3.9%)

Counts

4 → 96

Calls

4 calls:

211.0ms	(/.f32 1 (*.f32 (fma.f32 s (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s) (exp.f32 (/.f32 (fabs.f32 x) s))))
92.0ms	(*.f32 (fma.f32 s (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
53.0ms	(fma.f32 s (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s)
29.0ms	(pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary32`
26×	`pow-pow_binary32`
25×	`exp-prod_binary32`
24×	`times-frac_binary32`
24×	`*-un-lft-identity_binary32`

Counts

4 → 104

Calls

4 calls:

10.0ms	(/.f32 1 (*.f32 (fma.f32 s (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s) (exp.f32 (/.f32 (fabs.f32 x) s))))
9.0ms	(*.f32 (fma.f32 s (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
5.0ms	(pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)
0.0ms	(fma.f32 s (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s)

simplify159.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

650×	`times-frac_binary32`
408×	`associate-/r*_binary32`
394×	`associate-/l*_binary32`
341×	`fma-def_binary32`
182×	`distribute-rgt-in_binary32`

Counts

200 → 204

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	6260
1	554	5443
2	1485	5383
3	4666	5383
4	4932	5383

prune255.0ms (2.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	204	4	208

Error

0.0b

Counts

208 → 4

Alt Table

Status	Error	Program
▶	0.7b	(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 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)))))
✓	0.3b	(/.f32 1 (*.f32 (fma.f32 s (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s) (exp.f32 (/.f32 (fabs.f32 x) s))))
	0.8b	(exp.f32 (log.f32 (/.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 7092 to 2615 computations (63.1% saved)

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
✓	0.1b	(fma.f32 2 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s))
✓	0.1b	(-.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)))
✓	0.6b	(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))))

series2.0s (19.9%)

Counts

4 → 80

Calls

4 calls:

713.0ms	(fma.f32 2 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s))
656.0ms	(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))))
596.0ms	(-.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)))
10.0ms	(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))

rewrite199.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

399×	`add-sqr-sqrt_binary32`
355×	`*-un-lft-identity_binary32`
347×	`add-cube-cbrt_binary32`
336×	`times-frac_binary32`
324×	`prod-diff_binary32`

Counts

4 → 500

Calls

4 calls:

22.0ms	(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))))
19.0ms	(-.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)))
6.0ms	(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
0.0ms	(fma.f32 2 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s))

simplify791.0ms (8%)

Algorithm

1×	egg-herbie

Rules

893×	`times-frac_binary32`
318×	`fma-neg_binary32`
236×	`exp-prod_binary32`
136×	`fma-udef_binary32`
133×	`exp-sum_binary32`

Counts

580 → 611

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	600	25504
1	968	21989
2	3004	21113
3	5087	21113

prune908.0ms (9.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	608	3	611
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	610	5	615

Error

0.0b

Counts

615 → 5

Alt Table

Status	Error	Program
	0.7b	(exp.f32 (fma.f32 (fabs.f32 x) (neg.f32 (/.f32 1 s)) (neg.f32 (fma.f32 2 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)))))
✓	0.3b	(/.f32 1 (*.f32 (fma.f32 s (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s) (exp.f32 (/.f32 (fabs.f32 x) s))))
	0.9b	(pow.f32 (E.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 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)))))
	0.7b	(.f32 (.f32 (cbrt.f32 (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))))) (cbrt.f32 (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)))))) (cbrt.f32 (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))))))

Compiler

Compiled 38343 to 12313 computations (67.9% saved)

regimes1.5s (15%)

Accuracy

Total 0.1b remaining (66%)

Threshold costs 0.1b (66%)

Counts

267 → 1

Compiler

Compiled 37889 to 21917 computations (42.2% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary32`
2×	`*-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	16	43
1	23	43
2	27	43
3	30	43
4	31	43
5	30	43

end106.0ms (1.1%)

Compiler: Compiled 222 to 121 computations (45.5% saved)

Details

analyze102.0ms (1%)

sample1.6s (15.9%)

simplify77.0ms (0.8%)

prune4.0ms (0%)

localize38.0ms (0.4%)

series185.0ms (1.9%)

rewrite70.0ms (0.7%)

simplify135.0ms (1.4%)

prune581.0ms (5.9%)

localize57.0ms (0.6%)

series248.0ms (2.5%)

rewrite33.0ms (0.3%)

simplify114.0ms (1.1%)

prune322.0ms (3.2%)

localize47.0ms (0.5%)

series385.0ms (3.9%)

rewrite32.0ms (0.3%)

simplify159.0ms (1.6%)

prune255.0ms (2.6%)

localize42.0ms (0.4%)

series2.0s (19.9%)

rewrite199.0ms (2%)

simplify791.0ms (8%)

prune908.0ms (9.1%)

regimes1.5s (15%)

simplify3.0ms (0%)

end106.0ms (1.1%)

Profiling