Details

analyze171.0ms (1.8%)

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)

sample41.0ms (0.4%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 65 to 33 computations (49.2% 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

0.1b

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)))
▶	0.2b	(/.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

0.4b

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

▶

0.2b

(/.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 (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
✓	0.0b	(/.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)))))
✓	0.0b	(.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))))
✓	0.1b	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))

series205.0ms (2.2%)

Counts

4 → 96

Calls

4 calls:

139.0ms	(/.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)))))
38.0ms	(.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))))
16.0ms	(*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
11.0ms	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))

rewrite77.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`exp-prod_binary32`
57×	`times-frac_binary32`
51×	`add-sqr-sqrt_binary32`
47×	`*-un-lft-identity_binary32`
43×	`add-cube-cbrt_binary32`

Counts

4 → 161

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)))))
16.0ms	(.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))))
8.0ms	(*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
7.0ms	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))

simplify182.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

880×	`distribute-rgt-in_binary32`
257×	`times-frac_binary32`
225×	`fma-neg_binary32`
205×	`associate-l_binary32`
170×	`associate-/r*_binary32`

Counts

257 → 277

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	322	6078
1	793	5546
2	2762	5507
3	4944	5503
4	4994	5503

prune709.0ms (7.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	472	7	479
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	473	8	481

Error

0.0b

Counts

481 → 8

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)))
	0.2b	(/.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 (sqrt.f32 (fabs.f32 x))) (sqrt.f32 s))) (/.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 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)))))
	0.4b	(.f32 (/.f32 1 (.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
▶	0.1b	(/.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)))))
	0.1b	(/.f32 (pow.f32 (exp.f32 -1) (/.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)))))
	0.8b	(exp.f32 (-.f32 (fma.f32 -1 (log.f32 s) (*.f32 -2 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (/.f32 (fabs.f32 x) s)))
	0.2b	(/.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (cbrt.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (/.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2)) (cbrt.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
	4.1b	(/.f32 (pow.f32 (exp.f32 (neg.f32 (sqrt.f32 (fabs.f32 x)))) (/.f32 (sqrt.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 17272 to 5374 computations (68.9% saved)

localize61.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

series225.0ms (2.4%)

Counts

3 → 40

Calls

3 calls:

196.0ms

(/.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)))))

17.0ms

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

12.0ms

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

rewrite31.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-cbrt-cube_binary32`
7×	`*-un-lft-identity_binary32`
7×	`add-sqr-sqrt_binary32`
7×	`add-cube-cbrt_binary32`
6×	`add-exp-log_binary32`

Counts

3 → 62

Calls

3 calls:

22.0ms

(/.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)))))

2.0ms

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

1.0ms

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

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

623×	`associate-/l*_binary32`
533×	`distribute-rgt-in_binary32`
502×	`distribute-lft-in_binary32`
343×	`fma-def_binary32`
136×	`associate-/l/_binary32`

Counts

102 → 120

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	3280
1	394	2809
2	1356	2690
3	5119	2690

prune504.0ms (5.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	245	1	246
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	246	8	254

Error

0.0b

Counts

254 → 8

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)))
	0.2b	(/.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 (sqrt.f32 (fabs.f32 x))) (sqrt.f32 s))) (/.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 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)))))
	0.4b	(.f32 (/.f32 1 (.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
✓	0.1b	(/.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)))))
▶	0.1b	(/.f32 (pow.f32 (exp.f32 -1) (/.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)))))
	0.7b	(exp.f32 (-.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (log.f32 (fma.f32 s (fma.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s))))
	0.2b	(/.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (cbrt.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (/.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2)) (cbrt.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
	4.1b	(/.f32 (pow.f32 (exp.f32 (neg.f32 (sqrt.f32 (fabs.f32 x)))) (/.f32 (sqrt.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 9713 to 4782 computations (50.8% saved)

localize52.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

series602.0ms (6.4%)

Counts

2 → 48

Calls

2 calls:

378.0ms

(/.f32 (pow.f32 (exp.f32 -1) (/.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)))))

224.0ms

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

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`times-frac_binary32`
25×	`pow-unpow_binary32`
25×	`add-sqr-sqrt_binary32`
23×	`add-exp-log_binary32`
22×	`*-un-lft-identity_binary32`

Counts

2 → 91

Calls

2 calls:

18.0ms

(/.f32 (pow.f32 (exp.f32 -1) (/.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)))))

4.0ms

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

simplify124.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

653×	`fma-def_binary32`
445×	`associate-/l/_binary32`
421×	`associate-*l/_binary32`
189×	`times-frac_binary32`
155×	`associate-/r/_binary32`

Counts

139 → 154

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	3788
1	640	3482
2	2248	3395
3	4961	3395
4	4983	3395

prune928.0ms (9.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	408	5	413
Fresh	5	1	6
Picked	0	1	1
Done	0	1	1
Total	413	8	421

Error

0.0b

Counts

421 → 8

Alt Table

Status	Error	Program
	0.4b	(*.f32 (/.f32 1 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)))
✓	0.1b	(/.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 (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (cbrt.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (/.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2)) (cbrt.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
	0.1b	(/.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 -1) (/.f32 (fabs.f32 x) s))) (cbrt.f32 (pow.f32 (exp.f32 -1) (/.f32 (fabs.f32 x) s)))) (/.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2)) (cbrt.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
✓	0.1b	(/.f32 (pow.f32 (exp.f32 -1) (/.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)))))
	0.6b	(exp.f32 (log.f32 (/.f32 (pow.f32 (exp.f32 -1) (/.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)))))))
	0.1b	(/.f32 (sqrt.f32 (pow.f32 (exp.f32 -1) (/.f32 (fabs.f32 x) s))) (/.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2)) (sqrt.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
▶	0.1b	(*.f32 (/.f32 (pow.f32 (sqrt.f32 (exp.f32 -1)) (/.f32 (fabs.f32 x) s)) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (/.f32 (pow.f32 (sqrt.f32 (exp.f32 -1)) (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)))

Compiler

Compiled 15382 to 5968 computations (61.2% saved)

localize58.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

series1.0s (10.9%)

Counts

4 → 80

Calls

4 calls:

395.0ms	(*.f32 (/.f32 (pow.f32 (sqrt.f32 (exp.f32 -1)) (/.f32 (fabs.f32 x) s)) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (/.f32 (pow.f32 (sqrt.f32 (exp.f32 -1)) (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)))
348.0ms	(/.f32 (pow.f32 (sqrt.f32 (exp.f32 -1)) (/.f32 (fabs.f32 x) s)) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
267.0ms	(pow.f32 (sqrt.f32 (exp.f32 -1)) (/.f32 (fabs.f32 x) s))
14.0ms	(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))

rewrite123.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

205×	`add-sqr-sqrt_binary32`
203×	`times-frac_binary32`
136×	`*-un-lft-identity_binary32`
116×	`add-cube-cbrt_binary32`
92×	`unpow-prod-down_binary32`

Counts

4 → 315

Calls

4 calls:

40.0ms	(*.f32 (/.f32 (pow.f32 (sqrt.f32 (exp.f32 -1)) (/.f32 (fabs.f32 x) s)) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (/.f32 (pow.f32 (sqrt.f32 (exp.f32 -1)) (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)))
16.0ms	(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
5.0ms	(pow.f32 (sqrt.f32 (exp.f32 -1)) (/.f32 (fabs.f32 x) s))
5.0ms	(/.f32 (pow.f32 (sqrt.f32 (exp.f32 -1)) (/.f32 (fabs.f32 x) s)) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))

simplify349.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

774×	`fma-def_binary32`
377×	`associate-*r/_binary32`
363×	`associate-*l/_binary32`
346×	`associate-/l*_binary32`
306×	`*-commutative_binary32`

Counts

395 → 385

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	505	17943
1	1373	16928
2	4410	16882
3	5041	16882

prune1.3s (13.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	544	0	544
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	544	8	552

Error

0.0b

Counts

552 → 8

Alt Table

Status	Error	Program
	0.4b	(*.f32 (/.f32 1 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)))
✓	0.1b	(/.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 (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (cbrt.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (/.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2)) (cbrt.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
	0.1b	(/.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 -1) (/.f32 (fabs.f32 x) s))) (cbrt.f32 (pow.f32 (exp.f32 -1) (/.f32 (fabs.f32 x) s)))) (/.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2)) (cbrt.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
✓	0.1b	(/.f32 (pow.f32 (exp.f32 -1) (/.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)))))
	0.6b	(exp.f32 (log.f32 (/.f32 (pow.f32 (exp.f32 -1) (/.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)))))))
	0.1b	(/.f32 (sqrt.f32 (pow.f32 (exp.f32 -1) (/.f32 (fabs.f32 x) s))) (/.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2)) (sqrt.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
✓	0.1b	(*.f32 (/.f32 (pow.f32 (sqrt.f32 (exp.f32 -1)) (/.f32 (fabs.f32 x) s)) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (/.f32 (pow.f32 (sqrt.f32 (exp.f32 -1)) (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)))

Compiler

Compiled 26987 to 10802 computations (60% saved)

regimes1000.0ms (10.7%)

Accuracy

Total 0.1b remaining (70.6%)

Threshold costs 0.1b (70.6%)

Counts

173 → 1

Compiler

Compiled 25177 to 14951 computations (40.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary32`
1×	`+-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	46
1	22	46
2	22	46

end1.0ms (0%)

Compiler: Compiled 31 to 19 computations (38.7% saved)

sample1.4s (14.8%)

Algorithm

1×

intervals

Results

618.0ms	8000×	body	128	valid
151.0ms	8000×	pre	128	true

Compiler

Compiled 336 to 190 computations (43.5% saved)

Details

analyze171.0ms (1.8%)

sample41.0ms (0.4%)

simplify77.0ms (0.8%)

prune4.0ms (0%)

localize36.0ms (0.4%)

series205.0ms (2.2%)

rewrite77.0ms (0.8%)

simplify182.0ms (1.9%)

prune709.0ms (7.6%)

localize61.0ms (0.7%)

series225.0ms (2.4%)

rewrite31.0ms (0.3%)

simplify81.0ms (0.9%)

prune504.0ms (5.4%)

localize52.0ms (0.6%)

series602.0ms (6.4%)

rewrite32.0ms (0.3%)

simplify124.0ms (1.3%)

prune928.0ms (9.9%)

localize58.0ms (0.6%)

series1.0s (10.9%)

rewrite123.0ms (1.3%)

simplify349.0ms (3.7%)

prune1.3s (13.6%)

regimes1000.0ms (10.7%)

simplify2.0ms (0%)

end1.0ms (0%)

sample1.4s (14.8%)

Profiling