Details

analyze119.0ms (0.9%)

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)

sample2.7s (21.5%)

Results

2.3s

8256×

body

128

valid

Compiler

Compiled 78 to 64 computations (17.9% saved)

simplify120.0ms (1%)

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

prune9.0ms (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

0.8b

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)))))
▶	1.1b	(.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))

Compiler

Compiled 79 to 67 computations (15.2% saved)

localize45.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.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)
✓	0.3b	(fma.f32 u -4/3 4/3)
✓	0.7b	(log.f32 (fma.f32 u -4/3 4/3))

series597.0ms (4.7%)

Counts

4 → 60

Calls

4 calls:

583.0ms	(.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))
6.0ms	(*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)
5.0ms	(log.f32 (fma.f32 u -4/3 4/3))
3.0ms	(fma.f32 u -4/3 4/3)

rewrite18.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`pow1_binary32`
12×	`add-exp-log_binary32`
11×	`add-cbrt-cube_binary32`
10×	`add-sqr-sqrt_binary32`
8×	`*-un-lft-identity_binary32`

Counts

4 → 65

Calls

4 calls:

7.0ms	(.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))
5.0ms	(*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)
1.0ms	(log.f32 (fma.f32 u -4/3 4/3))
1.0ms	(fma.f32 u -4/3 4/3)

simplify152.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

802×	`fma-def_binary32`
560×	`fma-neg_binary32`
511×	`associate-l_binary32`
410×	`associate-r_binary32`
321×	`associate-+l+_binary32`

Counts

125 → 161

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	205	2011
1	559	1743
2	1603	1706
3	4624	1706
4	5083	1706

prune228.0ms (1.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	146	15	161
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	147	16	163

Error

0.3b

Counts

163 → 16

Alt Table

Status	Error	Program
	1.2b	(.f32 s (.f32 (sqrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)) (sqrt.f32 (.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))
	1.7b	(.f32 s (.f32 (+.f32 (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)))) (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)))) -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 (cbrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)) (cbrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))) (cbrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.7b	(.f32 s (.f32 (+.f32 (log.f32 (*.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) (cbrt.f32 (fma.f32 u -4/3 4/3)))) (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)))) -3))
	2.9b	(exp.f32 (log.f32 (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.1b	(.f32 s (expm1.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.5b	(.f32 s (.f32 (log.f32 (log.f32 (exp.f32 (fma.f32 u -4/3 4/3)))) -3))
	1.2b	(.f32 (sqrt.f32 s) (.f32 (sqrt.f32 s) (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
	1.3b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (cbrt.f32 s) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
▶	1.1b	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
	1.2b	(.f32 (sqrt.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))) (sqrt.f32 (.f32 -3 (*.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))
	16.3b	(cbrt.f32 (.f32 (.f32 (.f32 s s) s) (.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.3b	(.f32 (.f32 (cbrt.f32 (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))) (cbrt.f32 (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))) (cbrt.f32 (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	3.2b	(exp.f32 (+.f32 (log.f32 s) (log.f32 (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))

Compiler

Compiled 3198 to 2529 computations (20.9% saved)

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
✓	0.3b	(*.f32 s (log.f32 (fma.f32 u -4/3 4/3)))
	0.3b	(fma.f32 u -4/3 4/3)
	0.7b	(log.f32 (fma.f32 u -4/3 4/3))

series991.0ms (7.9%)

Counts

2 → 48

Calls

2 calls:

525.0ms	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
466.0ms	(*.f32 s (log.f32 (fma.f32 u -4/3 4/3)))

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`log-prod_binary32`
15×	`distribute-lft-in_binary32`
15×	`distribute-rgt-in_binary32`
13×	`add-sqr-sqrt_binary32`
11×	`*-un-lft-identity_binary32`

Counts

2 → 59

Calls

2 calls:

8.0ms	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
3.0ms	(*.f32 s (log.f32 (fma.f32 u -4/3 4/3)))

simplify175.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

862×	`fma-neg_binary32`
803×	`fma-def_binary32`
365×	`times-frac_binary32`
310×	`*-commutative_binary32`
231×	`cancel-sign-sub-inv_binary32`

Counts

107 → 126

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	2110
1	488	1834
2	1494	1772
3	3696	1772
4	4985	1772
5	4939	1772

prune291.0ms (2.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	172	7	179
Fresh	5	10	15
Picked	1	0	1
Done	0	0	0
Total	178	17	195

Error

0.3b

Counts

195 → 17

Alt Table

Status	Error	Program
	1.5b	(.f32 -3 (.f32 s (log.f32 (log.f32 (exp.f32 (fma.f32 u -4/3 4/3))))))
	1.2b	(.f32 s (.f32 (sqrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)) (sqrt.f32 (.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))
	1.2b	(.f32 (sqrt.f32 s) (.f32 (sqrt.f32 s) (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
	1.7b	(.f32 -3 (+.f32 (.f32 s (.f32 2 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))))) (.f32 s (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))))))
	1.7b	(.f32 -3 (.f32 s (+.f32 (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)))) (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))))))
	16.3b	(cbrt.f32 (.f32 (.f32 (.f32 s s) s) (.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	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))))))
	1.3b	(.f32 (.f32 (cbrt.f32 (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))) (cbrt.f32 (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))) (cbrt.f32 (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	2.9b	(exp.f32 (log.f32 (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
▶	1.1b	(.f32 s (expm1.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.3b	(.f32 -3 (.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (cbrt.f32 s) (log.f32 (fma.f32 u -4/3 4/3)))))
	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 (cbrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)) (cbrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))) (cbrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.7b	(.f32 -3 (+.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) (cbrt.f32 (fma.f32 u -4/3 4/3)))) s) (.f32 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))) s)))
	1.2b	(.f32 (sqrt.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))) (sqrt.f32 (.f32 -3 (*.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))
	1.3b	(.f32 -3 (.f32 (.f32 (cbrt.f32 (.f32 s (log.f32 (fma.f32 u -4/3 4/3)))) (cbrt.f32 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))) (cbrt.f32 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))

Compiler

Compiled 3670 to 2845 computations (22.5% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)
	0.3b	(fma.f32 u -4/3 4/3)
✓	0.4b	(expm1.f32 (log1p.f32 (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
	0.7b	(log.f32 (fma.f32 u -4/3 4/3))

series6.0ms (0%)

Counts

1 → 12

Calls

1 calls:

6.0ms

(expm1.f32 (log1p.f32 (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 11

Calls

1 calls:

0.0ms

(expm1.f32 (log1p.f32 (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))

simplify121.0ms (1%)

Algorithm

1×	egg-herbie

Rules

922×	`fma-def_binary32`
627×	`fma-neg_binary32`
400×	`unsub-neg_binary32`
361×	`sub-neg_binary32`
354×	`associate-+l+_binary32`

Counts

23 → 41

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	425
1	179	382
2	450	363
3	1164	358
4	2840	358
5	4358	358
6	5070	358

prune261.0ms (2.1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	145	3	148
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	147	18	165

Error

0.3b

Counts

165 → 18

Alt Table

Status	Error	Program
	1.5b	(.f32 -3 (.f32 s (log.f32 (log.f32 (exp.f32 (fma.f32 u -4/3 4/3))))))
▶	1.2b	(.f32 s (.f32 (sqrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)) (sqrt.f32 (.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	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	1.3b	(.f32 s (expm1.f32 (log1p.f32 (.f32 (.f32 (cbrt.f32 (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3)))) (cbrt.f32 (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))) (cbrt.f32 (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))))))
	1.2b	(.f32 (sqrt.f32 s) (.f32 (sqrt.f32 s) (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
	1.7b	(.f32 -3 (+.f32 (.f32 s (.f32 2 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))))) (.f32 s (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))))))
	1.7b	(.f32 -3 (.f32 s (+.f32 (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)))) (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))))))
	16.3b	(cbrt.f32 (.f32 (.f32 (.f32 s s) s) (.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	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))))))
	1.3b	(.f32 (.f32 (cbrt.f32 (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))) (cbrt.f32 (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))) (cbrt.f32 (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.3b	(.f32 -3 (.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (cbrt.f32 s) (log.f32 (fma.f32 u -4/3 4/3)))))
	1.2b	(*.f32 s (expm1.f32 (log1p.f32 (log.f32 (pow.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 -3 (+.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) (cbrt.f32 (fma.f32 u -4/3 4/3)))) s) (.f32 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))) s)))
	1.2b	(.f32 (sqrt.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))) (sqrt.f32 (.f32 -3 (*.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))
	1.3b	(.f32 -3 (.f32 (.f32 (cbrt.f32 (.f32 s (log.f32 (fma.f32 u -4/3 4/3)))) (cbrt.f32 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))) (cbrt.f32 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))
	2.9b	(exp.f32 (log.f32 (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))

Compiler

Compiled 3334 to 2740 computations (17.8% saved)

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)
	0.3b	(fma.f32 u -4/3 4/3)
✓	0.5b	(.f32 (sqrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)) (sqrt.f32 (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
	0.7b	(log.f32 (fma.f32 u -4/3 4/3))

series16.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

16.0ms

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

rewrite18.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`pow1_binary32`
28×	`sqrt-pow1_binary32`
20×	`pow-prod-down_binary32`
10×	`pow-prod-up_binary32`
10×	`pow1/2_binary32`

Counts

1 → 51

Calls

1 calls:

11.0ms

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

simplify136.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

972×	`fma-def_binary32`
471×	`fma-neg_binary32`
393×	`*-commutative_binary32`
356×	`associate-l_binary32`
212×	`associate-+l+_binary32`

Counts

63 → 80

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	90	938
1	195	806
2	497	753
3	1458	731
4	2725	704
5	4640	704
6	5016	704

prune593.0ms (4.7%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	285	9	294
Fresh	2	15	17
Picked	1	0	1
Done	0	0	0
Total	288	24	312

Error

0.2b

Counts

312 → 24

Alt Table

Status	Error	Program
	1.4b	(.f32 s (.f32 (sqrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)) (sqrt.f32 (.f32 (+.f32 (log.f32 (*.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) (cbrt.f32 (fma.f32 u -4/3 4/3)))) (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)))) -3))))
	1.4b	(.f32 s (.f32 (sqrt.f32 (sqrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))) (pow.f32 (sqrt.f32 (sqrt.f32 (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))) 3)))
	1.3b	(.f32 -3 (.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (cbrt.f32 s) (log.f32 (fma.f32 u -4/3 4/3)))))
	1.4b	(.f32 s (.f32 (sqrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)) (sqrt.f32 (.f32 (+.f32 (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)))) (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)))) -3))))
	1.2b	(*.f32 s (expm1.f32 (log1p.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
	1.3b	(.f32 s (.f32 (sqrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)) (sqrt.f32 (.f32 (log.f32 (log.f32 (exp.f32 (fma.f32 u -4/3 4/3)))) -3))))
	1.5b	(.f32 -3 (.f32 s (log.f32 (log.f32 (exp.f32 (fma.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))
	1.5b	(.f32 s (.f32 (.f32 (.f32 (cbrt.f32 (sqrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))) (cbrt.f32 (sqrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))) (.f32 (cbrt.f32 (sqrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))) (cbrt.f32 (sqrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))) (.f32 (cbrt.f32 (sqrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))) (cbrt.f32 (sqrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))))
	1.3b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	1.3b	(.f32 s (expm1.f32 (log1p.f32 (.f32 (.f32 (cbrt.f32 (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3)))) (cbrt.f32 (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))) (cbrt.f32 (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))))))
	1.3b	(.f32 s (.f32 (sqrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)) (sqrt.f32 (.f32 (log.f32 (*.f32 (sqrt.f32 (fma.f32 u -4/3 4/3)) (sqrt.f32 (fma.f32 u -4/3 4/3)))) -3))))
	1.2b	(.f32 (sqrt.f32 s) (.f32 (sqrt.f32 s) (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
	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))))))
	1.3b	(.f32 s (.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))) 4) (cbrt.f32 (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))))
	1.3b	(.f32 (.f32 (cbrt.f32 (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))) (cbrt.f32 (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))) (cbrt.f32 (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.3b	(.f32 s (.f32 (sqrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)) (sqrt.f32 (.f32 (log.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3)))) -3))))
	2.9b	(exp.f32 (log.f32 (.f32 s (.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 -3 (+.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) (cbrt.f32 (fma.f32 u -4/3 4/3)))) s) (.f32 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))) s)))
	1.2b	(.f32 (sqrt.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))) (sqrt.f32 (.f32 -3 (*.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))
	1.3b	(.f32 -3 (.f32 (.f32 (cbrt.f32 (.f32 s (log.f32 (fma.f32 u -4/3 4/3)))) (cbrt.f32 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))) (cbrt.f32 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))
	16.3b	(cbrt.f32 (.f32 (.f32 (.f32 s s) s) (.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.2b	(.f32 s (.f32 (sqrt.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)) (sqrt.f32 (.f32 (log.f32 (log1p.f32 (expm1.f32 (fma.f32 u -4/3 4/3)))) -3))))

Compiler

Compiled 7732 to 6504 computations (15.9% saved)

regimes5.1s (40.5%)

Accuracy

Total 0.8b remaining (77.8%)

Threshold costs 0.8b (77.8%)

Counts

215 → 1

Compiler

Compiled 35926 to 30632 computations (14.7% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	33
1	20	33
2	18	33

end749.0ms (5.9%)

Compiler: Compiled 642 to 542 computations (15.6% saved)

Details

analyze119.0ms (0.9%)

sample2.7s (21.5%)

simplify120.0ms (1%)

prune9.0ms (0.1%)

localize45.0ms (0.4%)

series597.0ms (4.7%)

rewrite18.0ms (0.1%)

simplify152.0ms (1.2%)

prune228.0ms (1.8%)

localize46.0ms (0.4%)

series991.0ms (7.9%)

rewrite14.0ms (0.1%)

simplify175.0ms (1.4%)

prune291.0ms (2.3%)

localize37.0ms (0.3%)

series6.0ms (0%)

rewrite1.0ms (0%)

simplify121.0ms (1%)

prune261.0ms (2.1%)

localize41.0ms (0.3%)

series16.0ms (0.1%)

rewrite18.0ms (0.1%)

simplify136.0ms (1.1%)

prune593.0ms (4.7%)

regimes5.1s (40.5%)

simplify3.0ms (0%)

end749.0ms (5.9%)

Profiling