Details

analyze113.0ms (1.5%)

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)

sample1.6s (21.8%)

Results

1.5s

8256×

body

128

valid

Compiler

Compiled 78 to 64 computations (17.9% saved)

simplify56.0ms (0.7%)

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

0.7b

Counts

3 → 2

Alt Table

Status	Error	Program
	1.3b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
▶	0.9b	(.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))

Compiler

Compiled 79 to 67 computations (15.2% saved)

localize24.0ms (0.3%)

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	(fma.f32 u -4/3 4/3)
✓	0.3b	(*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)
✓	0.6b	(log.f32 (fma.f32 u -4/3 4/3))

series317.0ms (4.2%)

Counts

4 → 60

Calls

4 calls:

310.0ms	(.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 (0.6%)

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 → 72

Calls

4 calls:

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

simplify70.0ms (0.9%)

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

132 → 148

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

prune116.0ms (1.5%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	131	17	148
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	132	18	150

Error

0.3b

Counts

150 → 18

Alt Table

Status	Error	Program
	8.3b	(.f32 s (.f32 (-.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 u -4/3 4/3)))) 1) -3))
	1.3b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	1.3b	(.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))
	1.5b	(.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))
	1.0b	(.f32 s (expm1.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.2b	(.f32 s (-.f32 (exp.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))) 1))
	1.0b	(*.f32 s (log1p.f32 (-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)))
	1.0b	(.f32 s (pow.f32 (sqrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)) 2))
	1.1b	(pow.f32 (sqrt.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s)) 2)
	1.2b	(.f32 s (.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3))) 3) -3))
	1.7b	(.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))
	16.7b	(pow.f32 (pow.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s) 3) 1/3)
	1.7b	(.f32 s (.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (.f32 u -4/3) 3) 64/27) (+.f32 (.f32 (.f32 u -4/3) (.f32 u -4/3)) (-.f32 16/9 (.f32 (.f32 u -4/3) 4/3))))) -3))
	1.2b	(.f32 s (pow.f32 (cbrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)) 3))
	1.2b	(pow.f32 (cbrt.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s)) 3)
	16.4b	(cbrt.f32 (.f32 (pow.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) 3) (pow.f32 s 3)))
	23.6b	(log.f32 (pow.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) s))
▶	1.0b	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))

Compiler

Compiled 2792 to 2231 computations (20.1% saved)

localize22.0ms (0.3%)

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	(fma.f32 u -4/3 4/3)
✓	0.3b	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
	0.6b	(log.f32 (fma.f32 u -4/3 4/3))

series601.0ms (8%)

Counts

2 → 48

Calls

2 calls:

302.0ms	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
299.0ms	(*.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 → 28

Calls

2 calls:

43.0ms	(*.f32 s (log.f32 (fma.f32 u -4/3 4/3)))
43.0ms	(.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

simplify67.0ms (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

76 → 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

prune483.0ms (6.4%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	139	7	146
Fresh	5	12	17
Picked	0	1	1
Done	0	0	0
Total	144	20	164

Error

0.2b

Counts

164 → 20

Alt Table

Status	Error	Program
	8.3b	(.f32 s (.f32 (-.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 u -4/3 4/3)))) 1) -3))
	1.3b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	1.3b	(.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))
	1.5b	(.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))
	1.0b	(.f32 s (expm1.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.2b	(.f32 s (-.f32 (exp.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))) 1))
	1.7b	(.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))
	16.7b	(pow.f32 (pow.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) s) 3) 1/3)
	1.2b	(.f32 -3 (pow.f32 (cbrt.f32 (.f32 s (log.f32 (fma.f32 u -4/3 4/3)))) 3))
	16.4b	(cbrt.f32 (.f32 (pow.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) 3) (pow.f32 s 3)))
	23.6b	(log.f32 (pow.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) s))
	1.1b	(pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))) 2)
✓	1.0b	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
	1.7b	(.f32 -3 (.f32 s (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) 3))))
	1.3b	(.f32 -3 (.f32 s (log.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3))))))
	1.7b	(.f32 s (.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (.f32 u -4/3) 3) 64/27) (+.f32 (.f32 (.f32 u -4/3) (.f32 u -4/3)) (-.f32 16/9 (.f32 (.f32 u -4/3) 4/3))))) -3))
	1.2b	(.f32 -3 (.f32 s (pow.f32 (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3))) 3)))
▶	1.0b	(*.f32 s (log1p.f32 (-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)))
	1.3b	(.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))))))
	1.2b	(pow.f32 (cbrt.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))) 3)

Compiler

Compiled 2834 to 2222 computations (21.6% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f32 s (log1p.f32 (-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)))
	0.3b	(fma.f32 u -4/3 4/3)
✓	0.5b	(-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)
✓	0.6b	(pow.f32 (fma.f32 u -4/3 4/3) -3)

series625.0ms (8.3%)

Counts

3 → 48

Calls

3 calls:

619.0ms	(*.f32 s (log1p.f32 (-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)))
3.0ms	(pow.f32 (fma.f32 u -4/3 4/3) -3)
3.0ms	(-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)

rewrite82.0ms (1.1%)

Algorithm

2×	batch-egg-rewrite

Rules

460×	`log-prod_binary32`
216×	`pow1/3_binary32`
199×	`expm1-udef_binary32`
199×	`log1p-udef_binary32`
176×	`pow3_binary32`

Counts

3 → 100

Calls

3 calls:

80.0ms	(*.f32 s (log1p.f32 (-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)))
80.0ms	(-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)
80.0ms	(pow.f32 (fma.f32 u -4/3 4/3) -3)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	251	32
2	2588	32
3	4944	32
4	4842	32
0	0	0
1	0	0

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

745×	`fma-neg_binary32`
552×	`fma-def_binary32`
446×	`associate-/r*_binary32`
270×	`associate-+l+_binary32`
205×	`distribute-rgt-in_binary32`

Counts

148 → 153

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	114	902
1	334	860
2	893	781
3	2495	770
4	4789	769
5	5126	769

prune279.0ms (3.7%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	171	12	183
Fresh	5	13	18
Picked	1	0	1
Done	0	1	1
Total	177	26	203

Error

0.1b

Counts

203 → 26

Alt Table

Status	Error	Program
	8.3b	(.f32 s (.f32 (-.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 u -4/3 4/3)))) 1) -3))
	1.3b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	5.1b	(*.f32 s (log1p.f32 (+.f32 (log.f32 (sqrt.f32 (exp.f32 (-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)))) (log.f32 (sqrt.f32 (exp.f32 (-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)))))))
	5.2b	(.f32 s (log1p.f32 (+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1))) (cbrt.f32 (exp.f32 (-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1))))) (log.f32 (cbrt.f32 (exp.f32 (-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)))))))
	1.5b	(.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))
	1.3b	(.f32 s (log1p.f32 (-.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)) 1)))
	1.7b	(.f32 s (.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (.f32 u -4/3) 3) 64/27) (+.f32 (.f32 (.f32 u -4/3) (.f32 u -4/3)) (-.f32 16/9 (.f32 (.f32 u -4/3) 4/3))))) -3))
	1.1b	(.f32 s (log1p.f32 (-.f32 (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)) (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -6))) 1)))
	1.2b	(.f32 s (-.f32 (exp.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))) 1))
▶	1.1b	(*.f32 s (log1p.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)))))
	1.3b	(.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))))))
	1.7b	(.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))
	1.3b	(*.f32 s (log1p.f32 (fma.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) -1)))
	1.6b	(*.f32 s (log1p.f32 (fma.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) -1)))
	1.1b	(.f32 s (log1p.f32 (.f32 (+.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2) 1) (+.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2) -1))))
	1.1b	(*.f32 s (log1p.f32 (fma.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2) (pow.f32 (fma.f32 u -4/3 4/3) -3/2) -1)))
	16.4b	(cbrt.f32 (.f32 (pow.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) 3) (pow.f32 s 3)))
	1.2b	(.f32 -3 (pow.f32 (cbrt.f32 (.f32 s (log.f32 (fma.f32 u -4/3 4/3)))) 3))
	1.1b	(*.f32 s (log1p.f32 (fma.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)) (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -6)) -1)))
	23.6b	(log.f32 (pow.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) s))
	1.1b	(pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))) 2)
✓	1.0b	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
	1.3b	(.f32 -3 (.f32 s (log.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3))))))
	1.1b	(.f32 s (log1p.f32 (-.f32 (.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2) (pow.f32 (fma.f32 u -4/3 4/3) -3/2)) 1)))
	1.4b	(.f32 s (log1p.f32 (-.f32 (fma.f32 (.f32 (cbrt.f32 (+.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)) (cbrt.f32 (+.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1))) (cbrt.f32 (+.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)) -1) 1)))
	1.2b	(pow.f32 (cbrt.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))) 3)

Compiler

Compiled 4190 to 3504 computations (16.4% saved)

localize82.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(log.f32 (-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1))
✓	0.4b	(exp.f32 (log.f32 (-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)))
	0.5b	(-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)
	0.6b	(pow.f32 (fma.f32 u -4/3 4/3) -3)

series6.0ms (0.1%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(log.f32 (-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1))
3.0ms	(exp.f32 (log.f32 (-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)))

rewrite52.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

842×	`log1p-expm1-u_binary32`
842×	`expm1-log1p-u_binary32`
100×	`add-sqr-sqrt_binary32`
94×	`add-cbrt-cube_binary32`
94×	`add-log-exp_binary32`

Counts

2 → 58

Calls

2 calls:

50.0ms	(log.f32 (-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1))
50.0ms	(exp.f32 (log.f32 (-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	210	24
2	2141	24
3	5073	24
0	0	0
1	0	0

simplify101.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

679×	`times-frac_binary32`
667×	`fma-def_binary32`
396×	`sub-neg_binary32`
246×	`associate-l_binary32`
246×	`fma-neg_binary32`

Counts

82 → 86

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	352
1	164	336
2	440	332
3	1180	321
4	3240	321
5	4668	321
6	4997	321
7	4997	321
8	4904	321

prune268.0ms (3.5%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	193	1	194
Fresh	1	23	24
Picked	0	1	1
Done	0	1	1
Total	194	26	220

Error

0.1b

Counts

220 → 26

Alt Table

Status	Error	Program
	8.3b	(.f32 s (.f32 (-.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 u -4/3 4/3)))) 1) -3))
	1.3b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	5.1b	(*.f32 s (log1p.f32 (+.f32 (log.f32 (sqrt.f32 (exp.f32 (-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)))) (log.f32 (sqrt.f32 (exp.f32 (-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)))))))
	5.2b	(.f32 s (log1p.f32 (+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1))) (cbrt.f32 (exp.f32 (-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1))))) (log.f32 (cbrt.f32 (exp.f32 (-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)))))))
	1.5b	(.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))
	1.1b	(.f32 s (log1p.f32 (-.f32 (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)) (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -6))) 1)))
	1.2b	(.f32 s (-.f32 (exp.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))) 1))
✓	1.1b	(*.f32 s (log1p.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)))))
	1.3b	(.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))))))
	1.7b	(.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))
	1.3b	(*.f32 s (log1p.f32 (fma.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) -1)))
	1.6b	(*.f32 s (log1p.f32 (fma.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) -1)))
	1.1b	(.f32 s (log1p.f32 (.f32 (+.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2) 1) (+.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2) -1))))
	1.1b	(*.f32 s (log1p.f32 (fma.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2) (pow.f32 (fma.f32 u -4/3 4/3) -3/2) -1)))
	16.4b	(cbrt.f32 (.f32 (pow.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) 3) (pow.f32 s 3)))
	1.2b	(.f32 -3 (pow.f32 (cbrt.f32 (.f32 s (log.f32 (fma.f32 u -4/3 4/3)))) 3))
	1.1b	(*.f32 s (log1p.f32 (fma.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)) (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -6)) -1)))
	23.6b	(log.f32 (pow.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) s))
	1.1b	(pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))) 2)
✓	1.0b	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
	1.3b	(.f32 -3 (.f32 s (log.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3))))))
	1.3b	(.f32 s (log1p.f32 (-.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)) 1)))
	1.1b	(.f32 s (log1p.f32 (-.f32 (.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2) (pow.f32 (fma.f32 u -4/3 4/3) -3/2)) 1)))
	1.2b	(*.f32 s (log1p.f32 (exp.f32 (-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 u -4/3 4/3) -9) -1)) (log.f32 (+.f32 (pow.f32 (fma.f32 u -4/3 4/3) -6) (+.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)))))))
	1.4b	(.f32 s (log1p.f32 (-.f32 (fma.f32 (.f32 (cbrt.f32 (+.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)) (cbrt.f32 (+.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1))) (cbrt.f32 (+.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) 1)) -1) 1)))
	1.2b	(pow.f32 (cbrt.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))) 3)

Compiler

Compiled 4281 to 3680 computations (14% saved)

regimes2.0s (26.6%)

Accuracy

Total 0.8b remaining (77.6%)

Threshold costs 0.8b (77.6%)

Counts

175 → 1

Compiler

Compiled 26728 to 23144 computations (13.4% 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

end355.0ms (4.7%)

Compiler: Compiled 550 to 475 computations (13.6% saved)

Details

analyze113.0ms (1.5%)

sample1.6s (21.8%)

simplify56.0ms (0.7%)

prune4.0ms (0.1%)

localize24.0ms (0.3%)

series317.0ms (4.2%)

rewrite49.0ms (0.6%)

simplify70.0ms (0.9%)

prune116.0ms (1.5%)

localize22.0ms (0.3%)

series601.0ms (8%)

rewrite45.0ms (0.6%)

simplify67.0ms (0.9%)

prune483.0ms (6.4%)

localize26.0ms (0.3%)

series625.0ms (8.3%)

rewrite82.0ms (1.1%)

simplify62.0ms (0.8%)

prune279.0ms (3.7%)

localize82.0ms (1.1%)

series6.0ms (0.1%)

rewrite52.0ms (0.7%)

simplify101.0ms (1.3%)

prune268.0ms (3.5%)

regimes2.0s (26.6%)

simplify2.0ms (0%)

end355.0ms (4.7%)

Profiling