Details

analyze124.0ms (1.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0.1%	99.9%	0
0%	0.1%	99.9%	1
0%	0.1%	99.9%	2
0.1%	0.1%	99.9%	3
0.1%	0.1%	99.9%	4
0.1%	0%	99.9%	5
0.1%	0%	99.9%	6
0.1%	0%	99.9%	7
0.1%	0%	99.9%	8
0.1%	0%	99.9%	9
0.1%	0%	99.9%	10
0.1%	0%	99.9%	11
0.1%	0%	99.9%	12
0.1%	0%	99.9%	13
0.1%	0%	99.9%	14

Compiler

Compiled 31 to 25 computations (19.4% saved)

sample1.9s (26%)

Results

1.7s

8256×

body

128

valid

Compiler

Compiled 78 to 64 computations (17.9% saved)

simplify55.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

782×	`fma-def_binary32`
494×	`fma-neg_binary32`
126×	`cancel-sign-sub-inv_binary32`
102×	`distribute-rgt-in_binary32`
87×	`sub-neg_binary32`

Counts

1 → 2

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	33	19
2	60	17
3	127	15
4	193	15
5	275	15
6	358	13
7	460	13
8	618	13
9	781	13
10	829	13
11	992	13
12	1022	13
13	1256	13
14	1289	13
15	1290	13
16	1290	13
17	1164	13

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

0.9b

Counts

3 → 2

Alt Table

Status	Error	Program
	1.5b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
▶	1.1b	(.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))

Compiler

Compiled 79 to 67 computations (15.2% saved)

localize351.0ms (4.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))
✓	0.3b	(*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)
✓	0.4b	(fma.f32 u -4/3 4/3)
✓	0.8b	(log.f32 (fma.f32 u -4/3 4/3))

series275.0ms (3.8%)

Counts

4 → 60

Calls

4 calls:

268.0ms	(.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))
3.0ms	(*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)
3.0ms	(log.f32 (fma.f32 u -4/3 4/3))
1.0ms	(fma.f32 u -4/3 4/3)

rewrite49.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

805×	`log1p-expm1-u_binary32`
805×	`expm1-log1p-u_binary32`
169×	`log1p-udef_binary32`
96×	`add-sqr-sqrt_binary32`
91×	`add-log-exp_binary32`

Counts

4 → 76

Calls

4 calls:

48.0ms	(.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))
48.0ms	(*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)
48.0ms	(fma.f32 u -4/3 4/3)
48.0ms	(log.f32 (fma.f32 u -4/3 4/3))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	199	35
2	2110	35
3	5128	35
0	0	0
1	0	0

simplify92.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

797×	`fma-def_binary32`
758×	`fma-neg_binary32`
461×	`sub-neg_binary32`
337×	`unsub-neg_binary32`
313×	`associate-+l+_binary32`

Counts

136 → 151

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	132	1087
1	431	1013
2	1228	934
3	3578	930
4	4578	926
5	4986	926

prune154.0ms (2.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	138	13	151
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	139	14	153

Error

0.4b

Counts

153 → 14

Alt Table

Status	Error	Program
▶	1.1b	(expm1.f32 (log1p.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s)))
	1.5b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	1.2b	(.f32 s (pow.f32 (pow.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) 3) 1/3))
	1.6b	(.f32 s (.f32 (+.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) 2)) (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)))) -3))
	1.2b	(*.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))
	9.1b	(.f32 s (.f32 (-.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 u -4/3 4/3)))) 1) -3))
	1.4b	(.f32 s (.f32 (+.f32 (log.f32 (sqrt.f32 (fma.f32 u -4/3 4/3))) (log.f32 (sqrt.f32 (fma.f32 u -4/3 4/3)))) -3))
	1.1b	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
	1.3b	(pow.f32 (sqrt.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s)) 2)
	1.3b	(.f32 s (-.f32 (exp.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))) 1))
	3.2b	(exp.f32 (log.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s)))
	1.7b	(.f32 s (.f32 (log.f32 (/.f32 (-.f32 (.f32 (.f32 u -4/3) (.f32 u -4/3)) 16/9) (-.f32 (.f32 u -4/3) 4/3))) -3))
	24.6b	(-.f32 (exp.f32 (log1p.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s))) 1)
	1.4b	(pow.f32 (cbrt.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s)) 3)

Compiler

Compiled 2673 to 2128 computations (20.4% saved)

localize33.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s)
	0.3b	(*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)
	0.4b	(fma.f32 u -4/3 4/3)
	0.8b	(log.f32 (fma.f32 u -4/3 4/3))

series261.0ms (3.6%)

Counts

1 → 24

Calls

1 calls:

261.0ms

(*.f32 (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s)

rewrite40.0ms (0.6%)

Algorithm

2×	batch-egg-rewrite

Rules

802×	`log1p-expm1-u_binary32`
802×	`expm1-log1p-u_binary32`
169×	`log1p-udef_binary32`
96×	`add-sqr-sqrt_binary32`
91×	`add-log-exp_binary32`

Counts

1 → 16

Calls

1 calls:

40.0ms

(*.f32 (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	199	13
2	2104	13
3	5110	13
0	0	0
1	0	0

simplify115.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

705×	`times-frac_binary32`
477×	`fma-def_binary32`
383×	`sub-neg_binary32`
306×	`associate-+l+_binary32`
270×	`fma-neg_binary32`

Counts

40 → 40

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	532
1	217	490
2	582	442
3	1649	432
4	3444	432
5	4491	432
6	5337	432

prune110.0ms (1.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	147	2	149
Fresh	2	11	13
Picked	0	1	1
Done	0	0	0
Total	149	14	163

Error

0.4b

Counts

163 → 14

Alt Table

Status	Error	Program
✓	1.1b	(expm1.f32 (log1p.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s)))
	1.5b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	1.2b	(.f32 s (pow.f32 (pow.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) 3) 1/3))
	1.6b	(.f32 s (.f32 (+.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) 2)) (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)))) -3))
	3.2b	(expm1.f32 (log1p.f32 (exp.f32 (log.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s)))))
	24.6b	(-.f32 (exp.f32 (log1p.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s))) 1)
	1.2b	(expm1.f32 (log1p.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)) s)))
	9.1b	(.f32 s (.f32 (-.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 u -4/3 4/3)))) 1) -3))
	1.4b	(.f32 s (.f32 (+.f32 (log.f32 (sqrt.f32 (fma.f32 u -4/3 4/3))) (log.f32 (sqrt.f32 (fma.f32 u -4/3 4/3)))) -3))
▶	1.1b	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
	1.3b	(pow.f32 (sqrt.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s)) 2)
	1.3b	(.f32 s (-.f32 (exp.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))) 1))
	1.7b	(.f32 s (.f32 (log.f32 (/.f32 (-.f32 (.f32 (.f32 u -4/3) (.f32 u -4/3)) 16/9) (-.f32 (.f32 u -4/3) 4/3))) -3))
	1.4b	(pow.f32 (cbrt.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s)) 3)

Compiler

Compiled 2946 to 2407 computations (18.3% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f32 s (log.f32 (fma.f32 u -4/3 4/3)))
✓	0.3b	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
	0.4b	(fma.f32 u -4/3 4/3)
	0.8b	(log.f32 (fma.f32 u -4/3 4/3))

series511.0ms (7.1%)

Counts

2 → 48

Calls

2 calls:

262.0ms	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
249.0ms	(*.f32 s (log.f32 (fma.f32 u -4/3 4/3)))

rewrite45.0ms (0.6%)

Algorithm

2×	batch-egg-rewrite

Rules

803×	`log1p-expm1-u_binary32`
803×	`expm1-log1p-u_binary32`
169×	`log1p-udef_binary32`
96×	`add-sqr-sqrt_binary32`
91×	`add-log-exp_binary32`

Counts

2 → 30

Calls

2 calls:

44.0ms	(*.f32 s (log.f32 (fma.f32 u -4/3 4/3)))
44.0ms	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	199	23
2	2106	23
3	5116	23
0	0	0
1	0	0

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

632×	`fma-def_binary32`
618×	`fma-neg_binary32`
319×	`sub-neg_binary32`
221×	`times-frac_binary32`
215×	`cancel-sign-sub-inv_binary32`

Counts

78 → 76

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	961
1	330	913
2	942	815
3	2885	795
4	4833	795
5	4975	795

prune114.0ms (1.6%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	138	9	147
Fresh	2	10	12
Picked	1	0	1
Done	0	1	1
Total	141	20	161

Error

0.3b

Counts

161 → 20

Alt Table

Status	Error	Program
✓	1.1b	(expm1.f32 (log1p.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s)))
	1.5b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	1.7b	(.f32 -3 (.f32 s (log.f32 (/.f32 (-.f32 (.f32 (.f32 u -4/3) (.f32 u -4/3)) 16/9) (-.f32 (.f32 u -4/3) 4/3)))))
	24.6b	(*.f32 -3 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) s)))
	9.1b	(.f32 s (.f32 (-.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 u -4/3 4/3)))) 1) -3))
	25.3b	(.f32 -3 (-.f32 (exp.f32 (log1p.f32 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))) 1))
	1.6b	(.f32 s (.f32 (+.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) 2)) (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)))) -3))
	3.2b	(expm1.f32 (log1p.f32 (exp.f32 (log.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s)))))
	1.6b	(.f32 -3 (.f32 s (log.f32 (log.f32 (exp.f32 (fma.f32 u -4/3 4/3))))))
	1.3b	(.f32 s (-.f32 (exp.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))) 1))
	1.4b	(pow.f32 (cbrt.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s)) 3)
	1.7b	(.f32 -3 (.f32 s (+.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) 2)) (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))))))
	9.1b	(.f32 -3 (.f32 s (-.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 u -4/3 4/3)))) 1)))
	1.4b	(.f32 -3 (.f32 s (pow.f32 (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3))) 3)))
	1.4b	(.f32 s (.f32 (+.f32 (log.f32 (sqrt.f32 (fma.f32 u -4/3 4/3))) (log.f32 (sqrt.f32 (fma.f32 u -4/3 4/3)))) -3))
	1.3b	(pow.f32 (sqrt.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s)) 2)
	1.4b	(pow.f32 (cbrt.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))) 3)
	1.7b	(.f32 s (.f32 (log.f32 (/.f32 (-.f32 (.f32 (.f32 u -4/3) (.f32 u -4/3)) 16/9) (-.f32 (.f32 u -4/3) 4/3))) -3))
▶	1.2b	(expm1.f32 (log1p.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)) s)))
	1.4b	(.f32 -3 (.f32 s (+.f32 (log.f32 (sqrt.f32 (fma.f32 u -4/3 4/3))) (log.f32 (sqrt.f32 (fma.f32 u -4/3 4/3))))))

Compiler

Compiled 2845 to 2231 computations (21.6% saved)

localize33.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)) s)
	0.4b	(fma.f32 u -4/3 4/3)
✓	0.5b	(log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))
✓	0.6b	(pow.f32 (fma.f32 u -4/3 4/3) -3)

series483.0ms (6.7%)

Counts

3 → 48

Calls

3 calls:

476.0ms	(*.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)) s)
4.0ms	(log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))
3.0ms	(pow.f32 (fma.f32 u -4/3 4/3) -3)

rewrite47.0ms (0.6%)

Algorithm

2×	batch-egg-rewrite

Rules

809×	`log1p-expm1-u_binary32`
809×	`expm1-log1p-u_binary32`
169×	`log1p-udef_binary32`
98×	`add-sqr-sqrt_binary32`
93×	`add-log-exp_binary32`

Counts

3 → 54

Calls

3 calls:

46.0ms	(*.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)) s)
46.0ms	(log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))
46.0ms	(pow.f32 (fma.f32 u -4/3 4/3) -3)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	204	31
2	2117	31
3	5092	31
0	0	0
1	0	0

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

614×	`fma-def_binary32`
503×	`fma-neg_binary32`
448×	`associate-/r*_binary32`
399×	`associate-+l+_binary32`
257×	`associate-+r+_binary32`

Counts

102 → 117

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	975
1	373	937
2	1014	841
3	2694	831
4	4756	831
5	4976	831

prune143.0ms (2%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	136	11	147
Fresh	6	12	18
Picked	1	0	1
Done	0	1	1
Total	143	24	167

Error

0.2b

Counts

167 → 24

Alt Table

Status	Error	Program
	1.4b	(.f32 -3 (.f32 s (pow.f32 (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3))) 3)))
	1.4b	(expm1.f32 (log1p.f32 (*.f32 (log.f32 (pow.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3))) -3)) s)))
✓	1.1b	(expm1.f32 (log1p.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s)))
	1.2b	(expm1.f32 (log1p.f32 (*.f32 (+.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2)) (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2))) s)))
	1.5b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	1.4b	(expm1.f32 (log1p.f32 (pow.f32 (cbrt.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)) s)) 3)))
	1.3b	(pow.f32 (sqrt.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s)) 2)
	1.6b	(.f32 -3 (.f32 s (log.f32 (log.f32 (exp.f32 (fma.f32 u -4/3 4/3))))))
	1.3b	(.f32 s (-.f32 (exp.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))) 1))
	1.1b	(expm1.f32 (log1p.f32 (*.f32 (log.f32 (sqrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -6))) s)))
	1.7b	(expm1.f32 (log1p.f32 (.f32 (log.f32 (pow.f32 (/.f32 (-.f32 (.f32 (.f32 u -4/3) (.f32 u -4/3)) 16/9) (-.f32 (*.f32 u -4/3) 4/3)) -3)) s)))
	1.4b	(expm1.f32 (log1p.f32 (.f32 (.f32 (cbrt.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))) (pow.f32 (cbrt.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))) 2)) s)))
	1.4b	(pow.f32 (cbrt.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s)) 3)
	1.7b	(.f32 -3 (.f32 s (+.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) 2)) (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))))))
	17.5b	(expm1.f32 (log1p.f32 (cbrt.f32 (*.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)) 3) (pow.f32 s 3)))))
	1.3b	(expm1.f32 (log1p.f32 (pow.f32 (sqrt.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)) s)) 2)))
	9.1b	(.f32 -3 (.f32 s (-.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 u -4/3 4/3)))) 1)))
	1.2b	(expm1.f32 (log1p.f32 (*.f32 (+.f32 (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -6))) (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))) s)))
	1.7b	(.f32 -3 (.f32 s (log.f32 (/.f32 (-.f32 (.f32 (.f32 u -4/3) (.f32 u -4/3)) 16/9) (-.f32 (.f32 u -4/3) 4/3)))))
	1.4b	(.f32 s (.f32 (+.f32 (log.f32 (sqrt.f32 (fma.f32 u -4/3 4/3))) (log.f32 (sqrt.f32 (fma.f32 u -4/3 4/3)))) -3))
	3.2b	(expm1.f32 (log1p.f32 (exp.f32 (log.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s)))))
	1.3b	(expm1.f32 (log1p.f32 (.f32 (log.f32 (.f32 (pow.f32 (sqrt.f32 (fma.f32 u -4/3 4/3)) -3) (pow.f32 (sqrt.f32 (fma.f32 u -4/3 4/3)) -3))) s)))
	1.7b	(expm1.f32 (log1p.f32 (.f32 (log.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) 2) -3) (pow.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) -3))) s)))
	1.4b	(.f32 -3 (.f32 s (+.f32 (log.f32 (sqrt.f32 (fma.f32 u -4/3 4/3))) (log.f32 (sqrt.f32 (fma.f32 u -4/3 4/3))))))

Compiler

Compiled 2844 to 2326 computations (18.2% saved)

regimes1.9s (25.7%)

Accuracy

Total 0.8b remaining (76.6%)

Threshold costs 0.8b (76.6%)

Counts

157 → 1

Compiler

Compiled 21868 to 18770 computations (14.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	15	18
2	15	18

end296.0ms (4.1%)

Compiler: Compiled 456 to 392 computations (14% saved)

Details

analyze124.0ms (1.7%)

sample1.9s (26%)

simplify55.0ms (0.8%)

prune4.0ms (0.1%)

localize351.0ms (4.9%)

series275.0ms (3.8%)

rewrite49.0ms (0.7%)

simplify92.0ms (1.3%)

prune154.0ms (2.1%)

localize33.0ms (0.5%)

series261.0ms (3.6%)

rewrite40.0ms (0.6%)

simplify115.0ms (1.6%)

prune110.0ms (1.5%)

localize26.0ms (0.4%)

series511.0ms (7.1%)

rewrite45.0ms (0.6%)

simplify66.0ms (0.9%)

prune114.0ms (1.6%)

localize33.0ms (0.5%)

series483.0ms (6.7%)

rewrite47.0ms (0.6%)

simplify64.0ms (0.9%)

prune143.0ms (2%)

regimes1.9s (25.7%)

simplify2.0ms (0%)

end296.0ms (4.1%)

Profiling