Details

analyze162.0ms (2.3%)

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)

sample208.0ms (3%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
7.0ms	256×	pre	128	true

Compiler

Compiled 49 to 41 computations (16.3% saved)

simplify57.0ms (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

prune5.0ms (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)

localize23.0ms (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	(.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))
✓	0.3b	(fma.f32 u -4/3 4/3)
✓	0.8b	(log.f32 (fma.f32 u -4/3 4/3))

series336.0ms (4.8%)

Counts

4 → 60

Calls

4 calls:

327.0ms	(.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))
4.0ms	(*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)
3.0ms	(log.f32 (fma.f32 u -4/3 4/3))
2.0ms	(fma.f32 u -4/3 4/3)

rewrite11.0ms (0.2%)

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:

4.0ms	(.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)
1.0ms	(log.f32 (fma.f32 u -4/3 4/3))
0.0ms	(fma.f32 u -4/3 4/3)

simplify83.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

802×	`fma-def_binary32`
560×	`fma-neg_binary32`
512×	`associate-l_binary32`
411×	`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

prune135.0ms (1.9%)

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
	1.4b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (cbrt.f32 s) (.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 (.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))))
	1.2b	(.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))))))
	1.4b	(.f32 s (.f32 (.f32 (.f32 (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3))) (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3)))) (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3)))) -3))
	1.3b	(.f32 (.f32 (cbrt.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))) (cbrt.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3)))))) (cbrt.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))
	1.6b	(.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))
	1.2b	(*.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))
	3.0b	(exp.f32 (log.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))
▶	1.1b	(.f32 s (expm1.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.3b	(.f32 (sqrt.f32 s) (.f32 (sqrt.f32 s) (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
	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))
	1.6b	(.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))
	17.1b	(cbrt.f32 (.f32 (.f32 (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)) (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))) (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	24.4b	(log.f32 (pow.f32 (fma.f32 u -4/3 4/3) (*.f32 -3 s)))
	3.3b	(exp.f32 (+.f32 (log.f32 s) (log.f32 (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))

Compiler

Compiled 3204 to 2531 computations (21% saved)

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 s (expm1.f32 (log1p.f32 (.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)))
	0.8b	(log.f32 (fma.f32 u -4/3 4/3))

series332.0ms (4.7%)

Counts

2 → 36

Calls

2 calls:

328.0ms	(.f32 s (expm1.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
3.0ms	(expm1.f32 (log1p.f32 (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

3.0ms	(.f32 s (expm1.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
0.0ms	(expm1.f32 (log1p.f32 (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))

simplify79.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

779×	`fma-def_binary32`
535×	`fma-neg_binary32`
529×	`unsub-neg_binary32`
370×	`associate-l_binary32`
334×	`times-frac_binary32`

Counts

67 → 100

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	143	1334
1	403	1163
2	1188	1120
3	3398	1116
4	4455	1115
5	4943	1115

prune137.0ms (2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	144	9	153
Fresh	4	11	15
Picked	1	0	1
Done	0	0	0
Total	149	20	169

Error

0.3b

Counts

169 → 20

Alt Table

Status	Error	Program
	1.3b	(.f32 (.f32 s (sqrt.f32 (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))) (sqrt.f32 (expm1.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))))
	1.6b	(.f32 s (expm1.f32 (log1p.f32 (.f32 (log.f32 (log.f32 (exp.f32 (fma.f32 u -4/3 4/3)))) -3))))
	1.4b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (cbrt.f32 s) (.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 (.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))))
	1.3b	(.f32 (.f32 (cbrt.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))) (cbrt.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3)))))) (cbrt.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))
▶	1.2b	(*.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))
	1.6b	(.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))
	1.6b	(.f32 s (expm1.f32 (log1p.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))))
	17.1b	(cbrt.f32 (.f32 (.f32 (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)) (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))) (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.3b	(.f32 (.f32 (cbrt.f32 (.f32 s (expm1.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))) (cbrt.f32 (.f32 s (expm1.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))))) (cbrt.f32 (.f32 s (expm1.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))))
	3.0b	(exp.f32 (log.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))
	1.5b	(.f32 s (expm1.f32 (log1p.f32 (.f32 (log.f32 (expm1.f32 (log1p.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))
	1.2b	(.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 (sqrt.f32 s) (.f32 (sqrt.f32 s) (expm1.f32 (log1p.f32 (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))))
	1.4b	(.f32 s (expm1.f32 (log1p.f32 (.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))))
	24.4b	(log.f32 (pow.f32 (fma.f32 u -4/3 4/3) (*.f32 -3 s)))
	3.3b	(exp.f32 (+.f32 (log.f32 s) (log.f32 (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.2b	(.f32 s (exp.f32 (log.f32 (expm1.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))))

Compiler

Compiled 3484 to 2808 computations (19.4% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series590.0ms (8.4%)

Counts

3 → 48

Calls

3 calls:

583.0ms	(*.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))
4.0ms	(pow.f32 (fma.f32 u -4/3 4/3) -3)
3.0ms	(log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`log-prod_binary32`
15×	`add-sqr-sqrt_binary32`
13×	`*-un-lft-identity_binary32`
13×	`add-cube-cbrt_binary32`
12×	`unpow-prod-down_binary32`

Counts

3 → 74

Calls

3 calls:

7.0ms	(*.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))
2.0ms	(log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))
1.0ms	(pow.f32 (fma.f32 u -4/3 4/3) -3)

simplify110.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

882×	`fma-def_binary32`
526×	`associate-l_binary32`
407×	`associate-r_binary32`
405×	`associate-+l+_binary32`
263×	`associate-+r+_binary32`

Counts

122 → 166

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	215	2323
1	524	2136
2	1532	1997
3	4590	1985
4	5000	1985
5	4918	1985

prune205.0ms (2.9%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	167	15	182
Fresh	5	14	19
Picked	1	0	1
Done	0	0	0
Total	173	29	202

Error

0.2b

Counts

202 → 29

Alt Table

Status	Error	Program
	1.2b	(.f32 s (log.f32 (.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2) (pow.f32 (fma.f32 u -4/3 4/3) -3/2))))
	1.2b	(.f32 s (-.f32 (exp.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))) 1))
	1.6b	(.f32 s (+.f32 (.f32 -3 (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))))) (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.4b	(.f32 s (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))))
	1.4b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (cbrt.f32 s) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
	1.7b	(.f32 s (log.f32 (.f32 (pow.f32 (*.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) (cbrt.f32 (fma.f32 u -4/3 4/3))) -3) (pow.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))))
	1.2b	(.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))))))
	1.2b	(*.f32 s (log.f32 (expm1.f32 (log1p.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
	1.3b	(.f32 (sqrt.f32 s) (.f32 (sqrt.f32 s) (expm1.f32 (log1p.f32 (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))))
	1.3b	(+.f32 (.f32 (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))) (+.f32 s s)) (.f32 s (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
	1.3b	(.f32 (.f32 (cbrt.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))) (cbrt.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3)))))) (cbrt.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))
	1.3b	(+.f32 (.f32 (log.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) -3)))) s) (*.f32 (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))) s))
	1.4b	(.f32 s (.f32 (*.f32 (cbrt.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))) (cbrt.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))) (cbrt.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
	1.6b	(.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))
	1.6b	(.f32 s (expm1.f32 (log1p.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 (exp.f32 (log.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
	1.4b	(.f32 s (expm1.f32 (log1p.f32 (.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 (cbrt.f32 (.f32 s (expm1.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))) (cbrt.f32 (.f32 s (expm1.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))))) (cbrt.f32 (.f32 s (expm1.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))))
	1.6b	(+.f32 (.f32 (log.f32 (pow.f32 (.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) (cbrt.f32 (fma.f32 u -4/3 4/3))) -3)) s) (*.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) -3)) s))
	24.4b	(log.f32 (pow.f32 (fma.f32 u -4/3 4/3) (*.f32 -3 s)))
▶	1.1b	(.f32 (.f32 s -3) (log.f32 (fma.f32 u -4/3 4/3)))
	1.3b	(.f32 (sqrt.f32 (.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))) (sqrt.f32 (*.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
	1.2b	(*.f32 s (+.f32 (log.f32 (sqrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))) (log.f32 (sqrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
	3.0b	(exp.f32 (log.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))
	1.3b	(.f32 (.f32 s (sqrt.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))) (sqrt.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))))
	1.5b	(.f32 s (expm1.f32 (log1p.f32 (.f32 (log.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3)))) -3))))
	1.6b	(*.f32 s (log.f32 (pow.f32 (log.f32 (exp.f32 (fma.f32 u -4/3 4/3))) -3)))

Compiler

Compiled 4188 to 3361 computations (19.7% saved)

localize23.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series335.0ms (4.8%)

Counts

1 → 24

Calls

1 calls:

334.0ms

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

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary32`
6×	`log-prod_binary32`
6×	`add-cbrt-cube_binary32`
6×	`add-exp-log_binary32`
4×	`associate-r_binary32`

Counts

1 → 27

Calls

1 calls:

4.0ms

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

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Rules

512×	`fma-def_binary32`
388×	`sub-neg_binary32`
383×	`unsub-neg_binary32`
339×	`*-commutative_binary32`
310×	`associate-+l+_binary32`

Counts

51 → 62

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1078
1	341	916
2	1000	886
3	2158	876
4	3949	876
5	4984	876

prune121.0ms (1.7%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	108	7	115
Fresh	7	21	28
Picked	0	1	1
Done	0	0	0
Total	115	29	144

Error

0.2b

Counts

144 → 29

Alt Table

Status	Error	Program
	1.2b	(.f32 s (log.f32 (.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2) (pow.f32 (fma.f32 u -4/3 4/3) -3/2))))
	1.3b	(.f32 (.f32 s -3) (log.f32 (+.f32 (*.f32 u -4/3) 4/3)))
	1.4b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (cbrt.f32 s) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
	1.7b	(.f32 s (log.f32 (.f32 (pow.f32 (*.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) (cbrt.f32 (fma.f32 u -4/3 4/3))) -3) (pow.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)))))
	1.2b	(*.f32 s (log.f32 (expm1.f32 (log1p.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
	1.5b	(.f32 (.f32 s -3) (log.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3)))))
	1.3b	(.f32 (sqrt.f32 s) (.f32 (sqrt.f32 s) (expm1.f32 (log1p.f32 (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))))
	1.3b	(.f32 (.f32 s -3) (+.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 (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))) (+.f32 s s)) (.f32 s (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
	1.3b	(.f32 (.f32 (cbrt.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))) (cbrt.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3)))))) (cbrt.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))
	1.3b	(+.f32 (.f32 (log.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) -3)))) s) (*.f32 (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))) s))
	1.4b	(.f32 s (.f32 (*.f32 (cbrt.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))) (cbrt.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))) (cbrt.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
	1.6b	(.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))
	1.6b	(.f32 s (expm1.f32 (log1p.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 (exp.f32 (log.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
	1.4b	(.f32 s (expm1.f32 (log1p.f32 (.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))))
	1.4b	(.f32 (.f32 s -3) (.f32 (.f32 (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3))) (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3)))) (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3)))))
	1.3b	(.f32 (.f32 (cbrt.f32 (.f32 s (expm1.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))) (cbrt.f32 (.f32 s (expm1.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))))) (cbrt.f32 (.f32 s (expm1.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))))
	1.6b	(+.f32 (.f32 (log.f32 (pow.f32 (.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) (cbrt.f32 (fma.f32 u -4/3 4/3))) -3)) s) (*.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) -3)) s))
	24.4b	(log.f32 (pow.f32 (fma.f32 u -4/3 4/3) (*.f32 -3 s)))
✓	1.1b	(.f32 (.f32 s -3) (log.f32 (fma.f32 u -4/3 4/3)))
	1.7b	(+.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) (cbrt.f32 (fma.f32 u -4/3 4/3)))) (.f32 s -3)) (.f32 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))) (*.f32 s -3)))
	1.6b	(.f32 (.f32 s -3) (log.f32 (log.f32 (exp.f32 (fma.f32 u -4/3 4/3)))))
	1.3b	(.f32 (sqrt.f32 (.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))) (sqrt.f32 (*.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
	1.2b	(*.f32 s (+.f32 (log.f32 (sqrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))) (log.f32 (sqrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
	1.3b	(.f32 (.f32 (.f32 s -3) (.f32 (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3))) (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3))))) (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3))))
	1.6b	(.f32 s (+.f32 (.f32 -3 (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))))) (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) -3))))
	3.0b	(exp.f32 (log.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))

Compiler

Compiled 2501 to 1987 computations (20.6% saved)

regimes2.2s (31.1%)

Accuracy

Total 0.8b remaining (78.5%)

Threshold costs 0.8b (78.5%)

Counts

177 → 1

Compiler

Compiled 27952 to 23504 computations (15.9% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	14	17
2	14	17

end1.0ms (0%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

sample1.7s (24.8%)

Algorithm

1×

intervals

Results

665.0ms	8000×	body	128	valid
214.0ms	8000×	pre	128	true

Compiler

Compiled 665 to 555 computations (16.5% saved)

Details

analyze162.0ms (2.3%)

sample208.0ms (3%)

simplify57.0ms (0.8%)

prune5.0ms (0.1%)

localize23.0ms (0.3%)

series336.0ms (4.8%)

rewrite11.0ms (0.2%)

simplify83.0ms (1.2%)

prune135.0ms (1.9%)

localize30.0ms (0.4%)

series332.0ms (4.7%)

rewrite4.0ms (0.1%)

simplify79.0ms (1.1%)

prune137.0ms (2%)

localize21.0ms (0.3%)

series590.0ms (8.4%)

rewrite13.0ms (0.2%)

simplify110.0ms (1.6%)

prune205.0ms (2.9%)

localize23.0ms (0.3%)

series335.0ms (4.8%)

rewrite6.0ms (0.1%)

simplify67.0ms (1%)

prune121.0ms (1.7%)

regimes2.2s (31.1%)

simplify2.0ms (0%)

end1.0ms (0%)

sample1.7s (24.8%)

Profiling