Details

analyze110.0ms (1.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0.9%	99.1%	0
0%	0.9%	99.1%	1
0%	0.9%	99.1%	2
0.4%	0.4%	99.1%	3
0.4%	0.4%	99.1%	4
0.6%	0.2%	99.1%	5
0.6%	0.2%	99.1%	6
0.7%	0.1%	99.1%	7
0.7%	0.1%	99.1%	8
0.8%	0.1%	99.1%	9
0.8%	0.1%	99.1%	10
0.8%	0%	99.1%	11
0.8%	0%	99.1%	12
0.8%	0%	99.1%	13
0.8%	0%	99.1%	14

Compiler

Compiled 32 to 24 computations (25% saved)

sample204.0ms (3%)

Algorithm

1×

intervals

Results

26.0ms	256×	body	128	valid
6.0ms	256×	pre	128	true

Compiler

Compiled 51 to 39 computations (23.5% saved)

simplify157.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2879×	`fma-def_binary32`
2626×	`associate-+l+_binary32`
362×	`distribute-rgt-in_binary32`
324×	`associate-+r+_binary32`
323×	`distribute-rgt-out_binary32`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	21	19
2	35	19
3	54	19
4	110	19
5	173	19
6	247	19
7	405	19
8	505	19
9	563	19
10	613	19
11	636	19
12	672	19
13	781	19
14	959	19
15	1218	19
16	1550	19
17	1556	19
18	1548	19
19	1896	19
20	2113	19
21	2208	19
22	2307	19
23	2275	19
24	2275	19
25	2275	19
26	4265	19
27	4265	19
28	4265	19
29	4265	19
30	5619	19

prune4.0ms (0.1%)

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
	0.2b	(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))
▶	0.1b	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)

Compiler

Compiled 94 to 70 computations (25.5% saved)

localize32.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)
✓	0.1b	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
✓	0.1b	(log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))
✓	0.1b	(exp.f32 (/.f32 -2 v))

series251.0ms (3.7%)

Counts

4 → 80

Calls

4 calls:

175.0ms	(log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))
66.0ms	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
8.0ms	(fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)
2.0ms	(exp.f32 (/.f32 -2 v))

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`exp-prod_binary32`
12×	`*-un-lft-identity_binary32`
12×	`add-sqr-sqrt_binary32`
12×	`add-cube-cbrt_binary32`
9×	`times-frac_binary32`

Counts

4 → 57

Calls

4 calls:

2.0ms	(exp.f32 (/.f32 -2 v))
1.0ms	(log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))
0.0ms	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
0.0ms	(fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)

simplify98.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

631×	`cancel-sign-sub-inv_binary32`
440×	`sub-neg_binary32`
256×	`fma-def_binary32`
234×	`+-commutative_binary32`
225×	`fma-neg_binary32`

Counts

137 → 173

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	4060
1	1013	3883
2	3816	3673
3	5369	3673

prune169.0ms (2.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	166	7	173
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	168	7	175

Error

0.0b

Counts

175 → 7

Alt Table

Status	Error	Program
	0.3b	(.f32 (.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
	29.2b	(-.f32 (fma.f32 (/.f32 u (pow.f32 v 3)) 2/3 (fma.f32 2 (+.f32 u (/.f32 u v)) (fma.f32 4/3 (/.f32 u (.f32 v v)) (fma.f32 8/3 (/.f32 (pow.f32 u 3) (.f32 v v)) (.f32 (pow.f32 (/.f32 u v) 3) 8))))) (fma.f32 4 (/.f32 (pow.f32 u 4) (pow.f32 v 3)) (+.f32 1 (fma.f32 2 (/.f32 (.f32 u u) v) (fma.f32 (.f32 (/.f32 u v) (/.f32 u v)) 4 (.f32 (/.f32 (*.f32 u u) (pow.f32 v 3)) 14/3))))))
	29.9b	(fma.f32 v (-.f32 (+.f32 (/.f32 (pow.f32 u 3) (exp.f32 (/.f32 -2 v))) (fma.f32 1/3 (pow.f32 (/.f32 u (exp.f32 (/.f32 -2 v))) 3) (+.f32 (/.f32 u (exp.f32 (/.f32 -2 v))) (/.f32 (.f32 u u) (exp.f32 (/.f32 -2 v)))))) (fma.f32 1/2 (/.f32 (.f32 u u) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (fma.f32 (pow.f32 u 3) 1/3 (+.f32 (fma.f32 (*.f32 u u) 1/2 (+.f32 (/.f32 2 v) u)) (/.f32 (pow.f32 u 3) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)))))) 1)
	1.0b	(log.f32 (*.f32 (E.f32) (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)))
	0.9b	(log.f32 (exp.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
	0.2b	(+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)
▶	0.1b	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (pow.f32 (exp.f32 -2) (/.f32 1 v)) u)) 1)

Compiler

Compiled 5336 to 3844 computations (28% saved)

localize37.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f32 (-.f32 1 u) (pow.f32 (exp.f32 -2) (/.f32 1 v)) u)
✓	0.1b	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (pow.f32 (exp.f32 -2) (/.f32 1 v)) u)) 1)
✓	0.1b	(log.f32 (fma.f32 (-.f32 1 u) (pow.f32 (exp.f32 -2) (/.f32 1 v)) u))
✓	0.1b	(pow.f32 (exp.f32 -2) (/.f32 1 v))

series299.0ms (4.4%)

Counts

4 → 84

Calls

4 calls:

173.0ms	(log.f32 (fma.f32 (-.f32 1 u) (pow.f32 (exp.f32 -2) (/.f32 1 v)) u))
67.0ms	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (pow.f32 (exp.f32 -2) (/.f32 1 v)) u)) 1)
56.0ms	(fma.f32 (-.f32 1 u) (pow.f32 (exp.f32 -2) (/.f32 1 v)) u)
3.0ms	(pow.f32 (exp.f32 -2) (/.f32 1 v))

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary32`
14×	`add-sqr-sqrt_binary32`
14×	`add-cube-cbrt_binary32`
13×	`pow-unpow_binary32`
9×	`times-frac_binary32`

Counts

4 → 66

Calls

4 calls:

3.0ms	(pow.f32 (exp.f32 -2) (/.f32 1 v))
1.0ms	(log.f32 (fma.f32 (-.f32 1 u) (pow.f32 (exp.f32 -2) (/.f32 1 v)) u))
0.0ms	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (pow.f32 (exp.f32 -2) (/.f32 1 v)) u)) 1)
0.0ms	(fma.f32 (-.f32 1 u) (pow.f32 (exp.f32 -2) (/.f32 1 v)) u)

simplify127.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

440×	`sub-neg_binary32`
380×	`fma-neg_binary32`
258×	`fma-def_binary32`
234×	`+-commutative_binary32`
219×	`times-frac_binary32`

Counts

150 → 195

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	345	4355
1	1042	4008
2	3902	3798
3	4978	3798
4	5077	3798

prune202.0ms (3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	195	7	202

Error

0.0b

Counts

202 → 7

Alt Table

Status	Error	Program
	0.3b	(.f32 (.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
	29.2b	(-.f32 (fma.f32 (/.f32 u (pow.f32 v 3)) 2/3 (fma.f32 2 (+.f32 u (/.f32 u v)) (fma.f32 4/3 (/.f32 u (.f32 v v)) (fma.f32 8/3 (/.f32 (pow.f32 u 3) (.f32 v v)) (.f32 (pow.f32 (/.f32 u v) 3) 8))))) (fma.f32 4 (/.f32 (pow.f32 u 4) (pow.f32 v 3)) (+.f32 1 (fma.f32 2 (/.f32 (.f32 u u) v) (fma.f32 (.f32 (/.f32 u v) (/.f32 u v)) 4 (.f32 (/.f32 (*.f32 u u) (pow.f32 v 3)) 14/3))))))
	29.9b	(fma.f32 v (-.f32 (+.f32 (/.f32 (pow.f32 u 3) (exp.f32 (/.f32 -2 v))) (fma.f32 1/3 (pow.f32 (/.f32 u (exp.f32 (/.f32 -2 v))) 3) (+.f32 (/.f32 u (exp.f32 (/.f32 -2 v))) (/.f32 (.f32 u u) (exp.f32 (/.f32 -2 v)))))) (fma.f32 1/2 (/.f32 (.f32 u u) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (fma.f32 (pow.f32 u 3) 1/3 (+.f32 (fma.f32 (*.f32 u u) 1/2 (+.f32 (/.f32 2 v) u)) (/.f32 (pow.f32 u 3) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)))))) 1)
	1.0b	(log.f32 (*.f32 (E.f32) (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)))
	0.9b	(log.f32 (exp.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
▶	0.2b	(+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)
✓	0.1b	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (pow.f32 (exp.f32 -2) (/.f32 1 v)) u)) 1)

Compiler

Compiled 5917 to 4315 computations (27.1% saved)

localize34.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)
	0.1b	(log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))
	0.1b	(exp.f32 (/.f32 -2 v))
✓	0.4b	(*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))

series286.0ms (4.2%)

Counts

2 → 48

Calls

2 calls:

218.0ms	(*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
67.0ms	(+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`log-prod_binary32`
10×	`add-sqr-sqrt_binary32`
8×	`*-un-lft-identity_binary32`
8×	`add-cube-cbrt_binary32`
6×	`associate-+l+_binary32`

Counts

2 → 47

Calls

2 calls:

4.0ms	(+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)
3.0ms	(*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))

simplify112.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

538×	`fma-neg_binary32`
519×	`cancel-sign-sub-inv_binary32`
324×	`sub-neg_binary32`
241×	`neg-sub0_binary32`
238×	`neg-mul-1_binary32`

Counts

95 → 135

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	257	3739
1	778	3583
2	3063	3423
3	4407	3411
4	5065	3411

prune253.0ms (3.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	224	2	226
Fresh	1	4	5
Picked	0	1	1
Done	1	0	1
Total	226	7	233

Error

Counts

233 → 7

Alt Table

Status	Error	Program
	0.3b	(.f32 (.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
	29.2b	(-.f32 (fma.f32 (/.f32 u (pow.f32 v 3)) 2/3 (fma.f32 2 (+.f32 u (/.f32 u v)) (fma.f32 4/3 (/.f32 u (.f32 v v)) (fma.f32 8/3 (/.f32 (pow.f32 u 3) (.f32 v v)) (.f32 (pow.f32 (/.f32 u v) 3) 8))))) (fma.f32 4 (/.f32 (pow.f32 u 4) (pow.f32 v 3)) (+.f32 1 (fma.f32 2 (/.f32 (.f32 u u) v) (fma.f32 (.f32 (/.f32 u v) (/.f32 u v)) 4 (.f32 (/.f32 (*.f32 u u) (pow.f32 v 3)) 14/3))))))
	29.9b	(fma.f32 v (-.f32 (+.f32 (/.f32 (pow.f32 u 3) (exp.f32 (/.f32 -2 v))) (fma.f32 1/3 (pow.f32 (/.f32 u (exp.f32 (/.f32 -2 v))) 3) (+.f32 (/.f32 u (exp.f32 (/.f32 -2 v))) (/.f32 (.f32 u u) (exp.f32 (/.f32 -2 v)))))) (fma.f32 1/2 (/.f32 (.f32 u u) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (fma.f32 (pow.f32 u 3) 1/3 (+.f32 (fma.f32 (*.f32 u u) 1/2 (+.f32 (/.f32 2 v) u)) (/.f32 (pow.f32 u 3) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)))))) 1)
	0.2b	(/.f32 (fma.f32 (.f32 v v) (.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) -1) (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) -1))
▶	0.2b	(+.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 1)
	1.0b	(log.f32 (*.f32 (E.f32) (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)))
✓	0.2b	(+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)

Compiler

Compiled 7540 to 5458 computations (27.6% saved)

localize37.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 1)
✓	0.1b	(pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)
	0.1b	(exp.f32 (/.f32 -2 v))
✓	22.5b	(log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))

series1.8s (27.5%)

Counts

3 → 72

Calls

3 calls:

1.5s

(log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))

238.0ms

(+.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 1)

63.0ms

(pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`log-prod_binary32`
12×	`*-un-lft-identity_binary32`
10×	`add-sqr-sqrt_binary32`
10×	`add-cube-cbrt_binary32`
9×	`unpow-prod-down_binary32`

Counts

3 → 64

Calls

3 calls:

4.0ms

(+.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 1)

2.0ms

(log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))

1.0ms

(pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)

simplify108.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

598×	`times-frac_binary32`
428×	`associate-/l*_binary32`
372×	`fma-def_binary32`
352×	`associate-/r*_binary32`
232×	`associate-l_binary32`

Counts

136 → 186

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	457	7074
1	1541	6821
2	5092	6821

prune333.0ms (4.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	219	7	226

Error

Counts

226 → 7

Alt Table

Status	Error	Program
	0.3b	(.f32 (.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
	29.2b	(-.f32 (fma.f32 (/.f32 u (pow.f32 v 3)) 2/3 (fma.f32 2 (+.f32 u (/.f32 u v)) (fma.f32 4/3 (/.f32 u (.f32 v v)) (fma.f32 8/3 (/.f32 (pow.f32 u 3) (.f32 v v)) (.f32 (pow.f32 (/.f32 u v) 3) 8))))) (fma.f32 4 (/.f32 (pow.f32 u 4) (pow.f32 v 3)) (+.f32 1 (fma.f32 2 (/.f32 (.f32 u u) v) (fma.f32 (.f32 (/.f32 u v) (/.f32 u v)) 4 (.f32 (/.f32 (*.f32 u u) (pow.f32 v 3)) 14/3))))))
	29.9b	(fma.f32 v (-.f32 (+.f32 (/.f32 (pow.f32 u 3) (exp.f32 (/.f32 -2 v))) (fma.f32 1/3 (pow.f32 (/.f32 u (exp.f32 (/.f32 -2 v))) 3) (+.f32 (/.f32 u (exp.f32 (/.f32 -2 v))) (/.f32 (.f32 u u) (exp.f32 (/.f32 -2 v)))))) (fma.f32 1/2 (/.f32 (.f32 u u) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (fma.f32 (pow.f32 u 3) 1/3 (+.f32 (fma.f32 (*.f32 u u) 1/2 (+.f32 (/.f32 2 v) u)) (/.f32 (pow.f32 u 3) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)))))) 1)
	0.2b	(/.f32 (fma.f32 (.f32 v v) (.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) -1) (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) -1))
✓	0.2b	(+.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 1)
	1.0b	(log.f32 (*.f32 (E.f32) (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)))
✓	0.2b	(+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)

Compiler

Compiled 9311 to 6906 computations (25.8% saved)

regimes354.0ms (5.3%)

Accuracy

Total 0.1b remaining (73.1%)

Threshold costs 0.1b (73.1%)

Counts

70 → 1

Compiler

Compiled 8700 to 6320 computations (27.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	15	19
2	19	19
3	21	19
4	22	19
5	21	19

end1.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

sample1.6s (24.3%)

Algorithm

1×

intervals

Results

782.0ms	8000×	body	128	valid
231.0ms	8000×	pre	128	true

Compiler

Compiled 339 to 239 computations (29.5% saved)

Details

analyze110.0ms (1.6%)

sample204.0ms (3%)

simplify157.0ms (2.3%)

prune4.0ms (0.1%)

localize32.0ms (0.5%)

series251.0ms (3.7%)

rewrite6.0ms (0.1%)

simplify98.0ms (1.5%)

prune169.0ms (2.5%)

localize37.0ms (0.6%)

series299.0ms (4.4%)

rewrite7.0ms (0.1%)

simplify127.0ms (1.9%)

prune202.0ms (3%)

localize34.0ms (0.5%)

series286.0ms (4.2%)

rewrite9.0ms (0.1%)

simplify112.0ms (1.7%)

prune253.0ms (3.8%)

localize37.0ms (0.6%)

series1.8s (27.5%)

rewrite10.0ms (0.2%)

simplify108.0ms (1.6%)

prune333.0ms (4.9%)

regimes354.0ms (5.3%)

simplify2.0ms (0%)

end1.0ms (0%)

sample1.6s (24.3%)

Profiling