Details

analyze153.0ms (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)

sample1.8s (27.8%)

Results

1.6s

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

0.7b

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)))))
▶	1.0b	(.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))

Compiler

Compiled 79 to 67 computations (15.2% saved)

localize22.0ms (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	(*.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))

series324.0ms (4.9%)

Counts

4 → 60

Calls

4 calls:

316.0ms	(.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))
2.0ms	(fma.f32 u -4/3 4/3)

rewrite10.0ms (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)

simplify82.0ms (1.3%)

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

prune135.0ms (2.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	143	18	161
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	144	19	163

Error

0.3b

Counts

163 → 19

Alt Table

Status	Error	Program
	1.3b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	1.3b	(.f32 s (.f32 (log.f32 (expm1.f32 (log1p.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 (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))
	1.3b	(.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))))
	1.6b	(.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))
	1.0b	(.f32 s (log.f32 (exp.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.0b	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
	1.2b	(.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 s (expm1.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.2b	(.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))))
	1.0b	(.f32 s (.f32 (log.f32 (cbrt.f32 (.f32 (.f32 (fma.f32 u -4/3 4/3) (fma.f32 u -4/3 4/3)) (fma.f32 u -4/3 4/3)))) -3))
	1.3b	(.f32 s (.f32 (.f32 (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3))) (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3)))) (.f32 (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3))) -3)))
	1.5b	(.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))
▶	1.0b	(*.f32 s (log.f32 (pow.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)))
	1.2b	(.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 (log.f32 (*.f32 (sqrt.f32 (fma.f32 u -4/3 4/3)) (sqrt.f32 (fma.f32 u -4/3 4/3)))) -3))
	3.1b	(exp.f32 (log.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))

Compiler

Compiled 3286 to 2603 computations (20.8% saved)

localize22.0ms (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)

series535.0ms (8.2%)

Counts

3 → 48

Calls

3 calls:

526.0ms	(*.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))
5.0ms	(log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))
3.0ms	(pow.f32 (fma.f32 u -4/3 4/3) -3)

rewrite10.0ms (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:

4.0ms	(*.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 (1.7%)

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

prune191.0ms (2.9%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	168	14	182
Fresh	10	8	18
Picked	1	0	1
Done	0	0	0
Total	179	22	201

Error

0.1b

Counts

201 → 22

Alt Table

Status	Error	Program
	1.5b	(.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 (.f32 (sqrt.f32 (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3)))) (sqrt.f32 s)) (.f32 (sqrt.f32 (*.f32 -3 (log.f32 (fma.f32 u -4/3 4/3)))) (sqrt.f32 s)))
	1.1b	(*.f32 s (expm1.f32 (log1p.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
	1.1b	(*.f32 s (log.f32 (expm1.f32 (log1p.f32 (pow.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))
	1.3b	(.f32 s (log.f32 (/.f32 1 (pow.f32 (-.f32 4/3 (.f32 4/3 u)) 3))))
	1.5b	(.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))
	1.1b	(.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)))))
	1.1b	(*.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)))))
	1.2b	(.f32 (sqrt.f32 s) (.f32 (sqrt.f32 s) (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
	1.2b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (cbrt.f32 s) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
	3.4b	(exp.f32 (+.f32 (log.f32 s) (log.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
	1.4b	(.f32 s (.f32 (log.f32 (*.f32 (sqrt.f32 (fma.f32 u -4/3 4/3)) (sqrt.f32 (fma.f32 u -4/3 4/3)))) -3))
▶	1.0b	(.f32 1 (.f32 s (*.f32 -3 (log.f32 (fma.f32 u -4/3 4/3)))))
	1.2b	(.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 (log.f32 (pow.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3))) -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))
	1.3b	(.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))))
	1.5b	(+.f32 (.f32 s (.f32 -3 (.f32 2 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)))))) (.f32 s (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) -3))))
	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))))
	1.1b	(.f32 (.f32 s (sqrt.f32 (*.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))) (sqrt.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))))

Compiler

Compiled 3838 to 3063 computations (20.2% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series307.0ms (4.7%)

Counts

2 → 36

Calls

2 calls:

303.0ms	(.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))
3.0ms	(*.f32 -3 (log.f32 (fma.f32 u -4/3 4/3)))

rewrite11.0ms (0.2%)

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:

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

simplify115.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

711×	`fma-def_binary32`
576×	`associate-l_binary32`
560×	`fma-neg_binary32`
389×	`associate-r_binary32`
258×	`cancel-sign-sub-inv_binary32`

Counts

95 → 122

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	194	1934
1	493	1684
2	1273	1623
3	3426	1607
4	4763	1603
5	5000	1603
6	4930	1603

prune180.0ms (2.7%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	172	3	175
Fresh	2	19	21
Picked	0	1	1
Done	0	0	0
Total	174	23	197

Error

0.1b

Counts

197 → 23

Alt Table

Status	Error	Program
	1.5b	(.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 (.f32 (sqrt.f32 (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3)))) (sqrt.f32 s)) (.f32 (sqrt.f32 (*.f32 -3 (log.f32 (fma.f32 u -4/3 4/3)))) (sqrt.f32 s)))
	1.1b	(*.f32 s (expm1.f32 (log1p.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
▶	1.1b	(*.f32 s (log.f32 (expm1.f32 (log1p.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
	1.1b	(.f32 1 (.f32 (sqrt.f32 (.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))) (sqrt.f32 (.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3)))))))
	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))
	1.3b	(.f32 s (log.f32 (/.f32 1 (pow.f32 (-.f32 4/3 (.f32 4/3 u)) 3))))
	1.5b	(.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))
	1.1b	(.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)))))
	1.1b	(*.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 1 (.f32 s (*.f32 -3 (log.f32 (expm1.f32 (log1p.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)))
	1.4b	(.f32 s (.f32 (log.f32 (*.f32 (sqrt.f32 (fma.f32 u -4/3 4/3)) (sqrt.f32 (fma.f32 u -4/3 4/3)))) -3))
✓	1.0b	(.f32 1 (.f32 s (*.f32 -3 (log.f32 (fma.f32 u -4/3 4/3)))))
	1.2b	(.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 (log.f32 (pow.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3))) -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))
	1.3b	(.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))))
	1.5b	(+.f32 (.f32 s (.f32 -3 (.f32 2 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)))))) (.f32 s (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.6b	(.f32 1 (+.f32 (.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) (cbrt.f32 (fma.f32 u -4/3 4/3)))) -3) s) (.f32 (.f32 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))) -3) s)))
	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))))
	3.4b	(exp.f32 (+.f32 (log.f32 s) (log.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))

Compiler

Compiled 4149 to 3393 computations (18.2% saved)

localize33.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(fma.f32 u -4/3 4/3)
✓	0.4b	(log.f32 (expm1.f32 (log1p.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))))
	0.6b	(pow.f32 (fma.f32 u -4/3 4/3) -3)
✓	0.6b	(expm1.f32 (log1p.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))

series7.0ms (0.1%)

Counts

2 → 24

Calls

2 calls:

4.0ms	(expm1.f32 (log1p.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))
3.0ms	(log.f32 (expm1.f32 (log1p.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))))

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`log-prod_binary32`
3×	`*-un-lft-identity_binary32`
3×	`add-sqr-sqrt_binary32`
3×	`add-cube-cbrt_binary32`
3×	`add-exp-log_binary32`

Counts

2 → 25

Calls

2 calls:

1.0ms	(log.f32 (expm1.f32 (log1p.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))))
0.0ms	(expm1.f32 (log1p.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Rules

874×	`fma-def_binary32`
687×	`unswap-sqr_binary32`
397×	`associate-/r*_binary32`
336×	`associate-l_binary32`
282×	`sub-neg_binary32`

Counts

49 → 79

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	108	814
1	253	741
2	665	719
3	1685	705
4	4197	702
5	5604	702

prune136.0ms (2.1%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	128	3	131
Fresh	1	20	21
Picked	1	0	1
Done	0	1	1
Total	130	24	154

Error

0.1b

Counts

154 → 24

Alt Table

Status	Error	Program
	1.5b	(.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)))))
	1.1b	(*.f32 s (expm1.f32 (log1p.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
	1.1b	(.f32 1 (.f32 (sqrt.f32 (.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))) (sqrt.f32 (.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3)))))))
	1.1b	(*.f32 s (log.f32 (-.f32 (exp.f32 (log1p.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))) 1)))
	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))
	1.3b	(.f32 s (log.f32 (/.f32 1 (pow.f32 (-.f32 4/3 (.f32 4/3 u)) 3))))
	1.5b	(.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))
	1.1b	(.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)))))
	1.1b	(*.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 1 (.f32 s (*.f32 -3 (log.f32 (expm1.f32 (log1p.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)))
	1.1b	(.f32 s (log.f32 (expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)) (sqrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))))
	1.4b	(.f32 s (.f32 (log.f32 (*.f32 (sqrt.f32 (fma.f32 u -4/3 4/3)) (sqrt.f32 (fma.f32 u -4/3 4/3)))) -3))
✓	1.0b	(.f32 1 (.f32 s (*.f32 -3 (log.f32 (fma.f32 u -4/3 4/3)))))
	1.2b	(.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 (log.f32 (pow.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3))) -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))
	1.3b	(.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))))
	1.5b	(+.f32 (.f32 s (.f32 -3 (.f32 2 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)))))) (.f32 s (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.6b	(.f32 1 (+.f32 (.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) (cbrt.f32 (fma.f32 u -4/3 4/3)))) -3) s) (.f32 (.f32 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))) -3) s)))
	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))))
	3.4b	(exp.f32 (+.f32 (log.f32 s) (log.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
	1.2b	(.f32 s (.f32 (sqrt.f32 (log.f32 (expm1.f32 (log1p.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))))) (sqrt.f32 (log.f32 (expm1.f32 (log1p.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))))

Compiler

Compiled 2633 to 2182 computations (17.1% saved)

regimes1.9s (28.4%)

Accuracy

Total 0.8b remaining (78.1%)

Threshold costs 0.8b (78.1%)

Counts

179 → 1

Compiler

Compiled 27916 to 23621 computations (15.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	13	17
2	13	17

end332.0ms (5.1%)

Compiler: Compiled 525 to 444 computations (15.4% saved)

Details

analyze153.0ms (2.3%)

sample1.8s (27.8%)

simplify55.0ms (0.8%)

prune4.0ms (0.1%)

localize22.0ms (0.3%)

series324.0ms (4.9%)

rewrite10.0ms (0.2%)

simplify82.0ms (1.3%)

prune135.0ms (2.1%)

localize22.0ms (0.3%)

series535.0ms (8.2%)

rewrite10.0ms (0.2%)

simplify110.0ms (1.7%)

prune191.0ms (2.9%)

localize28.0ms (0.4%)

series307.0ms (4.7%)

rewrite11.0ms (0.2%)

simplify115.0ms (1.8%)

prune180.0ms (2.7%)

localize33.0ms (0.5%)

series7.0ms (0.1%)

rewrite2.0ms (0%)

simplify65.0ms (1%)

prune136.0ms (2.1%)

regimes1.9s (28.4%)

simplify2.0ms (0%)

end332.0ms (5.1%)

Profiling