Details

analyze4.3s (33.2%)

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%	0.1%	99.9%	3
0%	0.1%	99.9%	4
0%	0.1%	99.9%	5
0%	0.1%	99.9%	6
0%	0.1%	99.9%	7
0%	0.1%	99.9%	8
0%	0.1%	99.9%	9
0%	0.1%	99.9%	10
0%	0.1%	99.9%	11
0%	0.1%	99.9%	12
0%	0.1%	99.9%	13
0%	0.1%	99.9%	14

Compiler

Compiled 31 to 25 computations (19.4% saved)

sample2.0s (15.4%)

Results

1.8s

8256×

body

128

valid

Compiler

Compiled 78 to 64 computations (17.9% saved)

simplify63.0ms (0.5%)

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%)

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
▶	0.9b	(.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))
	1.2b	(.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 (0.2%)

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

series378.0ms (2.9%)

Counts

4 → 60

Calls

4 calls:

367.0ms	(.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))
6.0ms	(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)

simplify84.0ms (0.6%)

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

prune139.0ms (1.1%)

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

0.2b

Counts

163 → 16

Alt Table

Status	Error	Program
	1.1b	(.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))))
	1.2b	(.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))
	0.9b	(.f32 s (cbrt.f32 (.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) (log.f32 (fma.f32 u -4/3 4/3))) (log.f32 (fma.f32 u -4/3 4/3))) (.f32 (.f32 -3 -3) -3))))
	1.4b	(.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 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))))
	1.4b	(.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 (sqrt.f32 s) (.f32 (sqrt.f32 s) (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
▶	0.9b	(*.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))
	1.2b	(.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)))
	1.2b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	1.1b	(.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 (sqrt.f32 (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))) (sqrt.f32 (.f32 s (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.2b	(.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))))))
	23.7b	(log.f32 (pow.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3) s))
	3.0b	(exp.f32 (log.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))
	1.2b	(.f32 s (.f32 (log.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3)))) -3))

Compiler

Compiled 3210 to 2541 computations (20.8% saved)

localize23.0ms (0.2%)

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

series570.0ms (4.4%)

Counts

3 → 48

Calls

3 calls:

564.0ms	(*.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))

rewrite10.0ms (0.1%)

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)

simplify109.0ms (0.8%)

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

prune188.0ms (1.4%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	169	13	182
Fresh	8	7	15
Picked	1	0	1
Done	0	0	0
Total	178	20	198

Error

0.2b

Counts

198 → 20

Alt Table

Status	Error	Program
	1.1b	(.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))))
	1.2b	(.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 (.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))))
	1.0b	(.f32 (sqrt.f32 s) (.f32 (sqrt.f32 s) (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
	1.2b	(.f32 s (log.f32 (/.f32 1 (pow.f32 (-.f32 4/3 (.f32 4/3 u)) 3))))
	1.1b	(.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 (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)))))
	1.2b	(.f32 (.f32 s (*.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))))
	1.5b	(+.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))
▶	0.9b	(.f32 (.f32 s -3) (log.f32 (fma.f32 u -4/3 4/3)))
	1.2b	(.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)))
	1.0b	(.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 (.f32 2 (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))) (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
	1.2b	(.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)))
	1.2b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	23.6b	(log.f32 (pow.f32 (fma.f32 u -4/3 4/3) (*.f32 s -3)))
	1.2b	(.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 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 (.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)))))
	1.1b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (cbrt.f32 s) (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))))

Compiler

Compiled 3790 to 3015 computations (20.4% saved)

localize22.0ms (0.2%)

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

series329.0ms (2.5%)

Counts

1 → 24

Calls

1 calls:

329.0ms

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

rewrite6.0ms (0%)

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)))

simplify71.0ms (0.5%)

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

prune126.0ms (1%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	110	5	115
Fresh	4	15	19
Picked	0	1	1
Done	0	0	0
Total	114	21	135

Error

0.2b

Counts

135 → 21

Alt Table

Status	Error	Program
	1.1b	(.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 (.f32 s (.f32 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))) -6)) (.f32 (.f32 -3 s) (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)))))
	1.4b	(.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))))
	1.2b	(.f32 (.f32 (cbrt.f32 (.f32 (.f32 s -3) (log.f32 (fma.f32 u -4/3 4/3)))) (cbrt.f32 (.f32 (.f32 s -3) (log.f32 (fma.f32 u -4/3 4/3))))) (cbrt.f32 (.f32 (.f32 s -3) (log.f32 (fma.f32 u -4/3 4/3)))))
	1.1b	(+.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)))))
	1.1b	(.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	(log1p.f32 (expm1.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))
	1.1b	(.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)))))
✓	0.9b	(.f32 (.f32 s -3) (log.f32 (fma.f32 u -4/3 4/3)))
	1.2b	(.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)))
▶	1.0b	(.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 (.f32 2 (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))) (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
	1.2b	(.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)))))
	1.1b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (cbrt.f32 s) (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))))
	1.2b	(.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)))
	1.2b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	23.6b	(log.f32 (pow.f32 (fma.f32 u -4/3 4/3) (*.f32 s -3)))
	1.2b	(.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))))
	1.2b	(.f32 s (log.f32 (/.f32 1 (pow.f32 (-.f32 4/3 (.f32 4/3 u)) 3))))
	1.2b	(.f32 (.f32 s (*.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))))
	1.4b	(.f32 (.f32 s -3) (+.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)))))

Compiler

Compiled 2761 to 2197 computations (20.4% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))
	0.3b	(fma.f32 u -4/3 4/3)
✓	0.5b	(.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)))))
	0.6b	(pow.f32 (fma.f32 u -4/3 4/3) -3)

series408.0ms (3.1%)

Counts

1 → 20

Calls

1 calls:

408.0ms

(*.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)))))

rewrite11.0ms (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:

7.0ms

(*.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)))))

simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

692×	`associate-l_binary32`
509×	`fma-def_binary32`
500×	`associate-r_binary32`
484×	`times-frac_binary32`
455×	`unswap-sqr_binary32`

Counts

71 → 80

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	113	1256
1	279	1118
2	835	1013
3	3216	975
4	4288	939
5	5085	939

prune351.0ms (2.7%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	280	8	288
Fresh	10	9	19
Picked	1	0	1
Done	0	1	1
Total	291	18	309

Error

0.1b

Counts

309 → 18

Alt Table

Status	Error	Program
	1.0b	(.f32 (sqrt.f32 (.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))) (sqrt.f32 (.f32 s (+.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)))) (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))))
	1.1b	(+.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)))))
	1.2b	(.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 (.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 (.f32 s (*.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))))
	1.2b	(.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 (.f32 (sqrt.f32 (fma.f32 u -4/3 4/3)) (sqrt.f32 (fma.f32 u -4/3 4/3))) -3)))))
✓	0.9b	(.f32 (.f32 s -3) (log.f32 (fma.f32 u -4/3 4/3)))
	1.2b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))))) 4) (cbrt.f32 (.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))))
	1.2b	(.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)))))
	1.2b	(.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)))
	1.2b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	1.3b	(.f32 (.f32 (cbrt.f32 (.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)))))) (cbrt.f32 (.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))))))) (cbrt.f32 (.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 (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 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))))
	1.1b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (cbrt.f32 s) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
	1.2b	(.f32 (sqrt.f32 (.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))) (sqrt.f32 (.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 (sqrt.f32 (.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))) (sqrt.f32 (.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))))))
	1.1b	(.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 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3))) -3)))))
	1.4b	(.f32 (.f32 s -3) (+.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)))))

Compiler

Compiled 7962 to 6477 computations (18.7% saved)

regimes3.3s (25.5%)

Accuracy

Total 0.8b remaining (77.1%)

Threshold costs 0.8b (77.1%)

Counts

254 → 1

Compiler

Compiled 49597 to 41657 computations (16% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	12	13
2	12	13

end347.0ms (2.7%)

Compiler: Compiled 536 to 448 computations (16.4% saved)

Details

analyze4.3s (33.2%)

sample2.0s (15.4%)

simplify63.0ms (0.5%)

prune5.0ms (0%)

localize22.0ms (0.2%)

series378.0ms (2.9%)

rewrite10.0ms (0.1%)

simplify84.0ms (0.6%)

prune139.0ms (1.1%)

localize23.0ms (0.2%)

series570.0ms (4.4%)

rewrite10.0ms (0.1%)

simplify109.0ms (0.8%)

prune188.0ms (1.4%)

localize22.0ms (0.2%)

series329.0ms (2.5%)

rewrite6.0ms (0%)

simplify71.0ms (0.5%)

prune126.0ms (1%)

localize32.0ms (0.2%)

series408.0ms (3.1%)

rewrite11.0ms (0.1%)

simplify80.0ms (0.6%)

prune351.0ms (2.7%)

regimes3.3s (25.5%)

simplify2.0ms (0%)

end347.0ms (2.7%)

Profiling