Details

analyze131.0ms (1.3%)

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)

sample1.9s (19.8%)

Results

1.8s

8256×

body

128

valid

Compiler

Compiled 81 to 61 computations (24.7% saved)

simplify157.0ms (1.6%)

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%)

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
	0.1b	(+.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)

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series267.0ms (2.8%)

Counts

4 → 80

Calls

4 calls:

187.0ms	(log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))
69.0ms	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
9.0ms	(fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)
2.0ms	(exp.f32 (/.f32 -2 v))

rewrite8.0ms (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))
2.0ms	(fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)
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)

simplify99.0ms (1%)

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

prune183.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	167	6	173
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	168	7	175

Error

0.0b

Counts

175 → 7

Alt Table

Status	Error	Program
	1.9b	(*.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (sqrt.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))))))
	30.3b	(-.f32 (fma.f32 1/3 (/.f32 v (pow.f32 (/.f32 (exp.f32 (/.f32 -2 v)) u) 3)) (+.f32 (/.f32 (.f32 v u) (exp.f32 (/.f32 -2 v))) (+.f32 (/.f32 (.f32 v (.f32 u u)) (exp.f32 (/.f32 -2 v))) (/.f32 (.f32 v (pow.f32 u 3)) (exp.f32 (/.f32 -2 v)))))) (fma.f32 1/2 (.f32 v (.f32 u u)) (+.f32 1 (fma.f32 1/3 (.f32 v (pow.f32 u 3)) (fma.f32 v u (fma.f32 1/2 (/.f32 (.f32 v (.f32 u u)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (/.f32 (.f32 v (pow.f32 u 3)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2))))))))
	0.9b	(log.f32 (exp.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
▶	0.1b	(+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)
	0.2b	(fma.f32 v (.f32 (.f32 (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (cbrt.f32 (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) (exp.f32 (/.f32 -2 v)) u)) 1)

Compiler

Compiled 5359 to 3849 computations (28.2% saved)

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.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))
✓	0.3b	(*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))

series305.0ms (3.1%)

Counts

2 → 48

Calls

2 calls:

237.0ms	(*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
68.0ms	(+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)

rewrite11.0ms (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:

5.0ms	(+.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)))

simplify114.0ms (1.2%)

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

prune289.0ms (3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	222	4	226
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	227	6	233

Error

0.0b

Counts

233 → 6

Alt Table

Status	Error	Program
	1.9b	(*.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
	30.3b	(-.f32 (+.f32 (+.f32 (/.f32 (.f32 v u) (exp.f32 (/.f32 -2 v))) (/.f32 (.f32 v (.f32 u u)) (exp.f32 (/.f32 -2 v)))) (.f32 (+.f32 (/.f32 1/3 (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) 1) (/.f32 (.f32 v (pow.f32 u 3)) (exp.f32 (/.f32 -2 v))))) (fma.f32 (.f32 v (.f32 u u)) 1/2 (+.f32 (fma.f32 1/3 (.f32 v (pow.f32 u 3)) (fma.f32 v u (fma.f32 1/2 (/.f32 (.f32 v (.f32 u u)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (/.f32 (*.f32 v (pow.f32 u 3)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2))))) 1)))
▶	0.2b	(log1p.f32 (expm1.f32 (+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)))
	0.2b	(+.f32 (.f32 (.f32 v (*.f32 (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)
	28.8b	(-.f32 (fma.f32 2 (/.f32 u v) (fma.f32 8/3 (/.f32 (pow.f32 u 3) (.f32 v v)) (fma.f32 u 2 (.f32 4/3 (/.f32 u (.f32 v v)))))) (fma.f32 4 (.f32 (/.f32 u v) (/.f32 u v)) (fma.f32 2 (*.f32 u (/.f32 u v)) 1)))
✓	0.1b	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)

Compiler

Compiled 7437 to 5381 computations (27.6% saved)

localize46.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))
	0.1b	(exp.f32 (/.f32 -2 v))
	0.3b	(*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
✓	0.8b	(expm1.f32 (+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))

series92.0ms (0.9%)

Counts

1 → 24

Calls

1 calls:

92.0ms

(expm1.f32 (+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

2×	`log1p-expm1-u_binary32`
1×	`*-un-lft-identity_binary32`
1×	`add-sqr-sqrt_binary32`
1×	`add-cube-cbrt_binary32`
1×	`add-cbrt-cube_binary32`

Counts

1 → 11

Calls

1 calls:

0.0ms

(expm1.f32 (+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))

simplify93.0ms (1%)

Algorithm

1×	egg-herbie

Rules

424×	`times-frac_binary32`
281×	`associate-/l*_binary32`
259×	`associate-r_binary32`
237×	`associate-/r*_binary32`
233×	`associate-+r+_binary32`

Counts

35 → 59

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	3567
1	1047	3358
2	4742	3318
3	4987	3318

prune313.0ms (3.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	217	0	217
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	217	6	223

Error

0.0b

Counts

223 → 6

Alt Table

Status	Error	Program
	1.9b	(*.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
	30.3b	(-.f32 (+.f32 (+.f32 (/.f32 (.f32 v u) (exp.f32 (/.f32 -2 v))) (/.f32 (.f32 v (.f32 u u)) (exp.f32 (/.f32 -2 v)))) (.f32 (+.f32 (/.f32 1/3 (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) 1) (/.f32 (.f32 v (pow.f32 u 3)) (exp.f32 (/.f32 -2 v))))) (fma.f32 (.f32 v (.f32 u u)) 1/2 (+.f32 (fma.f32 1/3 (.f32 v (pow.f32 u 3)) (fma.f32 v u (fma.f32 1/2 (/.f32 (.f32 v (.f32 u u)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (/.f32 (*.f32 v (pow.f32 u 3)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2))))) 1)))
✓	0.2b	(log1p.f32 (expm1.f32 (+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)))
▶	0.2b	(+.f32 (.f32 (.f32 v (*.f32 (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)
	28.8b	(-.f32 (fma.f32 2 (/.f32 u v) (fma.f32 8/3 (/.f32 (pow.f32 u 3) (.f32 v v)) (fma.f32 u 2 (.f32 4/3 (/.f32 u (.f32 v v)))))) (fma.f32 4 (.f32 (/.f32 u v) (/.f32 u v)) (fma.f32 2 (*.f32 u (/.f32 u v)) 1)))
✓	0.1b	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)

Compiler

Compiled 9636 to 7232 computations (24.9% saved)

localize53.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
✓	0.3b	(.f32 v (.f32 (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
✓	0.3b	(.f32 (.f32 v (*.f32 (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
✓	0.5b	(*.f32 (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))

series2.6s (27.1%)

Counts

4 → 96

Calls

4 calls:

1.1s	(.f32 v (.f32 (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
822.0ms	(*.f32 (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
473.0ms	(cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
232.0ms	(.f32 (.f32 v (*.f32 (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))

rewrite30.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`pow1_binary32`
32×	`cbrt-prod_binary32`
25×	`add-sqr-sqrt_binary32`
20×	`add-exp-log_binary32`
18×	`*-un-lft-identity_binary32`

Counts

4 → 109

Calls

4 calls:

9.0ms	(.f32 (.f32 v (*.f32 (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
6.0ms	(.f32 v (.f32 (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
5.0ms	(*.f32 (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
1.0ms	(cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))

simplify542.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

427×	`fma-def_binary32`
372×	`associate-+r+_binary32`
246×	`associate-*r/_binary32`
212×	`associate-/l*_binary32`
208×	`associate-r_binary32`

Counts

205 → 266

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1648	29918
1	5294	29918

prune1.6s (16.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	376	0	376
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	376	6	382

Error

0.0b

Counts

382 → 6

Alt Table

Status	Error	Program
	1.9b	(*.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
	30.3b	(-.f32 (+.f32 (+.f32 (/.f32 (.f32 v u) (exp.f32 (/.f32 -2 v))) (/.f32 (.f32 v (.f32 u u)) (exp.f32 (/.f32 -2 v)))) (.f32 (+.f32 (/.f32 1/3 (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) 1) (/.f32 (.f32 v (pow.f32 u 3)) (exp.f32 (/.f32 -2 v))))) (fma.f32 (.f32 v (.f32 u u)) 1/2 (+.f32 (fma.f32 1/3 (.f32 v (pow.f32 u 3)) (fma.f32 v u (fma.f32 1/2 (/.f32 (.f32 v (.f32 u u)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (/.f32 (*.f32 v (pow.f32 u 3)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2))))) 1)))
✓	0.2b	(log1p.f32 (expm1.f32 (+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)))
✓	0.2b	(+.f32 (.f32 (.f32 v (*.f32 (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)
	28.8b	(-.f32 (fma.f32 2 (/.f32 u v) (fma.f32 8/3 (/.f32 (pow.f32 u 3) (.f32 v v)) (fma.f32 u 2 (.f32 4/3 (/.f32 u (.f32 v v)))))) (fma.f32 4 (.f32 (/.f32 u v) (/.f32 u v)) (fma.f32 2 (*.f32 u (/.f32 u v)) 1)))
✓	0.1b	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)

Compiler

Compiled 59295 to 47509 computations (19.9% saved)

regimes588.0ms (6.1%)

Accuracy

Total 0.1b remaining (68.1%)

Threshold costs 0.1b (68.1%)

Counts

108 → 1

Compiler

Compiled 15666 to 11202 computations (28.5% saved)

simplify3.0ms (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

end144.0ms (1.5%)

Compiler: Compiled 268 to 185 computations (31% saved)

Details

analyze131.0ms (1.3%)

sample1.9s (19.8%)

simplify157.0ms (1.6%)

prune4.0ms (0%)

localize37.0ms (0.4%)

series267.0ms (2.8%)

rewrite8.0ms (0.1%)

simplify99.0ms (1%)

prune183.0ms (1.9%)

localize38.0ms (0.4%)

series305.0ms (3.1%)

rewrite11.0ms (0.1%)

simplify114.0ms (1.2%)

prune289.0ms (3%)

localize46.0ms (0.5%)

series92.0ms (0.9%)

rewrite1.0ms (0%)

simplify93.0ms (1%)

prune313.0ms (3.2%)

localize53.0ms (0.5%)

series2.6s (27.1%)

rewrite30.0ms (0.3%)

simplify542.0ms (5.6%)

prune1.6s (16.5%)

regimes588.0ms (6.1%)

simplify3.0ms (0%)

end144.0ms (1.5%)

Profiling