Details

analyze123.0ms (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)

sample1.8s (22.3%)

Results

1.6s

8256×

body

128

valid

Compiler

Compiled 78 to 64 computations (17.9% saved)

simplify63.0ms (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

0.9b

Counts

3 → 2

Alt Table

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

Compiler

Compiled 79 to 67 computations (15.2% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series329.0ms (4.1%)

Counts

4 → 60

Calls

4 calls:

319.0ms	(.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))
5.0ms	(log.f32 (fma.f32 u -4/3 4/3))
3.0ms	(*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)
2.0ms	(fma.f32 u -4/3 4/3)

rewrite10.0ms (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:

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)

simplify77.0ms (1%)

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

prune150.0ms (1.9%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	141	20	161
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	142	21	163

Error

0.4b

Counts

163 → 21

Alt Table

Status	Error	Program
	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))))))
	9.0b	(.f32 s (.f32 (expm1.f32 (log1p.f32 (log.f32 (fma.f32 u -4/3 4/3)))) -3))
	1.4b	(.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))))
	1.1b	(*.f32 s (log.f32 (pow.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))))
	1.5b	(.f32 s (.f32 (log.f32 (expm1.f32 (log1p.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))))))
	1.4b	(.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))
	1.8b	(.f32 s (.f32 (log.f32 (.f32 (.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) (cbrt.f32 (fma.f32 u -4/3 4/3))) (cbrt.f32 (fma.f32 u -4/3 4/3)))) -3))
	1.8b	(.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 (sqrt.f32 s) (.f32 (sqrt.f32 s) (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
	1.8b	(.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))
	1.4b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (cbrt.f32 s) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
	1.6b	(.f32 s (.f32 (log.f32 (log.f32 (exp.f32 (fma.f32 u -4/3 4/3)))) -3))
▶	1.1b	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
	1.4b	(.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 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)))
	1.3b	(.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 (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))))
	1.5b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	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))

Compiler

Compiled 3402 to 2701 computations (20.6% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series625.0ms (7.8%)

Counts

2 → 48

Calls

2 calls:

322.0ms	(*.f32 s (log.f32 (fma.f32 u -4/3 4/3)))
302.0ms	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))

rewrite10.0ms (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:

4.0ms	(.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)))

simplify100.0ms (1.3%)

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 → 119

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

prune166.0ms (2.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	168	4	172
Fresh	3	17	20
Picked	1	0	1
Done	0	0	0
Total	172	21	193

Error

0.4b

Counts

193 → 21

Alt Table

Status	Error	Program
	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))))))
	9.0b	(.f32 s (.f32 (expm1.f32 (log1p.f32 (log.f32 (fma.f32 u -4/3 4/3)))) -3))
	1.4b	(.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))))))
	1.8b	(+.f32 (.f32 s (.f32 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))) -6)) (.f32 -3 (.f32 s (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))))))
	1.9b	(.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)))
	1.4b	(.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))))
▶	1.1b	(*.f32 s (log.f32 (pow.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))))
	1.5b	(.f32 s (.f32 (log.f32 (expm1.f32 (log1p.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))))))
	1.4b	(.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))
	1.5b	(.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))))))
	1.4b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (cbrt.f32 s) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
	1.6b	(.f32 s (.f32 (log.f32 (log.f32 (exp.f32 (fma.f32 u -4/3 4/3)))) -3))
	1.4b	(.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))))))
	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)))
	1.3b	(.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))))
	1.5b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	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))
	1.8b	(.f32 s (.f32 (log.f32 (.f32 (.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) (cbrt.f32 (fma.f32 u -4/3 4/3))) (cbrt.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)))

Compiler

Compiled 3702 to 2874 computations (22.4% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series555.0ms (7%)

Counts

3 → 48

Calls

3 calls:

548.0ms	(*.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))
3.0ms	(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:

4.0ms	(*.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))
1.0ms	(log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))
1.0ms	(pow.f32 (fma.f32 u -4/3 4/3) -3)

simplify106.0ms (1.3%)

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

prune566.0ms (7.1%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	168	14	182
Fresh	7	13	20
Picked	1	0	1
Done	0	0	0
Total	176	27	203

Error

0.2b

Counts

203 → 27

Alt Table

Status	Error	Program
	1.8b	(.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))))
	1.2b	(.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))))))
	1.8b	(.f32 s (+.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)) (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) -3))))
▶	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))))
	1.4b	(+.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))
	1.5b	(.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 (.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))))))
	1.8b	(.f32 s (log.f32 (pow.f32 (.f32 (*.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) (cbrt.f32 (fma.f32 u -4/3 4/3))) (cbrt.f32 (fma.f32 u -4/3 4/3))) -3)))
	1.8b	(.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))))
	1.9b	(.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)))
	3.2b	(exp.f32 (+.f32 (log.f32 s) (log.f32 (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.5b	(.f32 s (.f32 (log.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3)))) -3))
	1.2b	(*.f32 s (log.f32 (expm1.f32 (log1p.f32 (pow.f32 (fma.f32 u -4/3 4/3) -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))
	1.4b	(.f32 s (log.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) -3))) (cbrt.f32 (pow.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))))
	1.4b	(.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))))))
	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))
	1.4b	(*.f32 s (log.f32 (pow.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3))) -3)))
	1.2b	(.f32 (sqrt.f32 s) (.f32 (sqrt.f32 s) (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))))
	1.5b	(.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))))))
	1.4b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (cbrt.f32 s) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
	1.6b	(.f32 s (.f32 (log.f32 (log.f32 (exp.f32 (fma.f32 u -4/3 4/3)))) -3))
	1.4b	(.f32 (.f32 (sqrt.f32 s) (sqrt.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))) (*.f32 (sqrt.f32 s) (sqrt.f32 (log.f32 (pow.f32 (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 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	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)))))

Compiler

Compiled 4104 to 3283 computations (20% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(fma.f32 u -4/3 4/3)
✓	0.3b	(pow.f32 (fma.f32 u -4/3 4/3) -3/2)
✓	0.5b	(*.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2) (pow.f32 (fma.f32 u -4/3 4/3) -3/2))
✓	0.5b	(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)))

series11.0ms (0.1%)

Counts

3 → 36

Calls

3 calls:

5.0ms

(pow.f32 (fma.f32 u -4/3 4/3) -3/2)

3.0ms

(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)))

3.0ms

(*.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2) (pow.f32 (fma.f32 u -4/3 4/3) -3/2))

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-exp-log_binary32`
25×	`add-sqr-sqrt_binary32`
21×	`unpow-prod-down_binary32`
18×	`prod-exp_binary32`
13×	`*-un-lft-identity_binary32`

Counts

3 → 98

Calls

3 calls:

8.0ms

(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)))

5.0ms

(*.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2) (pow.f32 (fma.f32 u -4/3 4/3) -3/2))

1.0ms

(pow.f32 (fma.f32 u -4/3 4/3) -3/2)

simplify108.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

485×	`fma-def_binary32`
346×	`unswap-sqr_binary32`
334×	`fma-neg_binary32`
292×	`associate-+l+_binary32`
256×	`times-frac_binary32`

Counts

134 → 176

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	208	2389
1	478	2149
2	1425	2010
3	3274	1902
4	4850	1902
5	4888	1902

prune376.0ms (4.7%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	246	7	253
Fresh	6	20	26
Picked	1	0	1
Done	0	0	0
Total	253	27	280

Error

0.2b

Counts

280 → 27

Alt Table

Status	Error	Program
	1.8b	(.f32 s (+.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)) (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.2b	(.f32 s (.f32 -3/2 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) 2))))
	1.4b	(+.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 (.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 s (log.f32 (.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2) (pow.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3))) -3/2))))
	1.9b	(.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 s (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2) 6))))
	1.3b	(.f32 s (expm1.f32 (log1p.f32 (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))))))
	3.2b	(exp.f32 (+.f32 (log.f32 s) (log.f32 (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.4b	(.f32 s (log.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) -3))) (cbrt.f32 (pow.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))))
	1.4b	(.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))))))
	1.7b	(.f32 s (log.f32 (.f32 (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2)) 5) (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2)))))
	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))
	1.4b	(*.f32 s (log.f32 (pow.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3))) -3)))
	1.2b	(.f32 (sqrt.f32 s) (.f32 (sqrt.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)))))
	1.4b	(.f32 s (log.f32 (.f32 (sqrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2)) (pow.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/4) 3))))
	1.5b	(.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))))))
	1.4b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (cbrt.f32 s) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
	1.6b	(.f32 s (.f32 (log.f32 (log.f32 (exp.f32 (fma.f32 u -4/3 4/3)))) -3))
	1.8b	(.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 (.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))
	1.4b	(.f32 (.f32 (sqrt.f32 s) (sqrt.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))) (*.f32 (sqrt.f32 s) (sqrt.f32 (log.f32 (pow.f32 (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)))
	1.4b	(.f32 s (.f32 (.f32 (cbrt.f32 (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)))) (cbrt.f32 (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))))) (cbrt.f32 (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))))))
	1.5b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))

Compiler

Compiled 6386 to 5312 computations (16.8% saved)

regimes2.2s (28.2%)

Accuracy

Total 0.8b remaining (80.7%)

Threshold costs 0.8b (80.7%)

Counts

209 → 1

Compiler

Compiled 32542 to 27221 computations (16.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary32`
1×	`+-commutative_binary32`
1×	`+-lft-identity_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	15	13
2	15	13

end422.0ms (5.3%)

Compiler: Compiled 622 to 520 computations (16.4% saved)

Details

analyze123.0ms (1.5%)

sample1.8s (22.3%)

simplify63.0ms (0.8%)

prune5.0ms (0.1%)

localize22.0ms (0.3%)

series329.0ms (4.1%)

rewrite10.0ms (0.1%)

simplify77.0ms (1%)

prune150.0ms (1.9%)

localize24.0ms (0.3%)

series625.0ms (7.8%)

rewrite10.0ms (0.1%)

simplify100.0ms (1.3%)

prune166.0ms (2.1%)

localize25.0ms (0.3%)

series555.0ms (7%)

rewrite13.0ms (0.2%)

simplify106.0ms (1.3%)

prune566.0ms (7.1%)

localize29.0ms (0.4%)

series11.0ms (0.1%)

rewrite20.0ms (0.2%)

simplify108.0ms (1.4%)

prune376.0ms (4.7%)

regimes2.2s (28.2%)

simplify2.0ms (0%)

end422.0ms (5.3%)

Profiling