Details

analyze108.0ms (1.3%)

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)

sample210.0ms (2.6%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
6.0ms	256×	pre	128	true

Compiler

Compiled 49 to 41 computations (16.3% saved)

simplify58.0ms (0.7%)

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
▶	1.0b	(.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 (0.3%)

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)
✓	0.7b	(log.f32 (fma.f32 u -4/3 4/3))

series336.0ms (4.1%)

Counts

4 → 60

Calls

4 calls:

328.0ms	(.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)

rewrite11.0ms (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:

5.0ms	(.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 (1%)

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 (1.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	145	16	161
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	146	17	163

Error

0.3b

Counts

163 → 17

Alt Table

Status	Error	Program
	3.1b	(exp.f32 (log.f32 (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.3b	(.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))
	1.1b	(.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 (.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))))))
	1.5b	(.f32 s (.f32 (log.f32 (log.f32 (exp.f32 (fma.f32 u -4/3 4/3)))) -3))
	1.2b	(.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))
▶	1.1b	(*.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -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 (.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 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	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)))
	1.1b	(.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))))
	1.1b	(.f32 s (expm1.f32 (log1p.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	18.0b	(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 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 (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 -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))))))

Compiler

Compiled 3260 to 2579 computations (20.9% saved)

localize23.0ms (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)
✓	0.5b	(log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))
✓	0.6b	(pow.f32 (fma.f32 u -4/3 4/3) -3)

series563.0ms (6.9%)

Counts

3 → 48

Calls

3 calls:

557.0ms	(*.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))

rewrite11.0ms (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)

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

prune185.0ms (2.3%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	167	15	182
Fresh	9	7	16
Picked	1	0	1
Done	0	0	0
Total	177	22	199

Error

0.2b

Counts

199 → 22

Alt Table

Status	Error	Program
	3.1b	(exp.f32 (log.f32 (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.3b	(.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))
	1.2b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 -3 (cbrt.f32 s))))
	1.3b	(*.f32 s (+.f32 (log.f32 (pow.f32 (sqrt.f32 (fma.f32 u -4/3 4/3)) -3)) (log.f32 (pow.f32 (sqrt.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.1b	(.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) (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))))
	1.1b	(.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 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 (.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))))
	1.1b	(*.f32 s (log.f32 (expm1.f32 (log1p.f32 (pow.f32 (fma.f32 u -4/3 4/3) -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))
	1.5b	(+.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))
	1.2b	(.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 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	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)))
▶	1.0b	(.f32 (.f32 s -3) (log.f32 (fma.f32 u -4/3 4/3)))
	1.2b	(.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)))))
	1.6b	(.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 s (expm1.f32 (log1p.f32 (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))))
	1.3b	(.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 (.f32 (cbrt.f32 (.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))) (cbrt.f32 (.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))))) (cbrt.f32 (*.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
	1.2b	(.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))))

Compiler

Compiled 3866 to 3079 computations (20.4% 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)))
	0.7b	(log.f32 (fma.f32 u -4/3 4/3))

series328.0ms (4%)

Counts

1 → 24

Calls

1 calls:

328.0ms

(*.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)))

simplify70.0ms (0.9%)

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

prune117.0ms (1.4%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	2	19	21
Picked	0	1	1
Done	0	0	0
Total	115	22	137

Error

0.2b

Counts

137 → 22

Alt Table

Status	Error	Program
	3.1b	(exp.f32 (log.f32 (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.2b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 -3 (cbrt.f32 s))))
	1.3b	(*.f32 s (+.f32 (log.f32 (pow.f32 (sqrt.f32 (fma.f32 u -4/3 4/3)) -3)) (log.f32 (pow.f32 (sqrt.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.1b	(.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) (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))))
▶	1.1b	(.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))))
	1.6b	(+.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))))
	1.1b	(*.f32 s (log.f32 (expm1.f32 (log1p.f32 (pow.f32 (fma.f32 u -4/3 4/3) -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))
	1.5b	(+.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))
	1.2b	(.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 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	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)))
	1.5b	(.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)))))
	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)))))
	1.3b	(.f32 (.f32 (cbrt.f32 (.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))) (cbrt.f32 (.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))))) (cbrt.f32 (*.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
✓	1.0b	(.f32 (.f32 s -3) (log.f32 (fma.f32 u -4/3 4/3)))
	1.2b	(.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)))))
	1.6b	(.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 s (expm1.f32 (log1p.f32 (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))))
	1.3b	(.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)))))
	1.2b	(.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))))

Compiler

Compiled 2791 to 2221 computations (20.4% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series581.0ms (7.1%)

Counts

3 → 48

Calls

3 calls:

574.0ms

(*.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))))

4.0ms

(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))

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-exp-log_binary32`
27×	`add-sqr-sqrt_binary32`
19×	`prod-exp_binary32`
18×	`unpow-prod-down_binary32`
15×	`associate-r_binary32`

Counts

3 → 106

Calls

3 calls:

6.0ms

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

6.0ms

(*.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))))

4.0ms

(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)))

simplify118.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

907×	`fma-def_binary32`
408×	`associate-+l+_binary32`
266×	`associate-+r+_binary32`
205×	`distribute-rgt-in_binary32`
190×	`fma-neg_binary32`

Counts

154 → 200

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	228	2619
1	548	2324
2	1768	2202
3	4495	2190
4	4952	2190
5	4898	2190

prune651.0ms (7.9%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	224	8	232
Fresh	8	12	20
Picked	1	0	1
Done	0	1	1
Total	233	21	254

Error

0.1b

Counts

254 → 21

Alt Table

Status	Error	Program
	1.3b	(.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))))))
	1.2b	(.f32 s (log.f32 (.f32 (sqrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2)) (*.f32 (sqrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2)) (pow.f32 (fma.f32 u -4/3 4/3) -3/2)))))
	1.1b	(.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))) s)
	3.1b	(exp.f32 (log.f32 (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.2b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 -3 (cbrt.f32 s))))
	1.1b	(.f32 (sqrt.f32 s) (.f32 (sqrt.f32 s) (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -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))
	1.5b	(+.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))
	1.2b	(.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 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	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)))
	1.5b	(.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)))))
	1.6b	(.f32 s (log.f32 (.f32 (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2)) 4) (*.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2)) (cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2))))))
	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)))))
	1.3b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (cbrt.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 (cbrt.f32 (.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))))) (cbrt.f32 (.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)))))) (cbrt.f32 (.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))))))
	1.6b	(.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 s (sqrt.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))) (sqrt.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)))))
	1.3b	(.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)))))
	1.2b	(.f32 s (log.f32 (.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3/2) (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))) -3/2))))
✓	1.0b	(.f32 (.f32 s -3) (log.f32 (fma.f32 u -4/3 4/3)))

Compiler

Compiled 5205 to 4229 computations (18.8% saved)

regimes2.7s (33.5%)

Accuracy

Total 0.8b remaining (78.1%)

Threshold costs 0.8b (78.1%)

Counts

194 → 1

Compiler

Compiled 32407 to 27185 computations (16.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	15	18
2	15	18

end1.0ms (0%)

Compiler: Compiled 14 to 12 computations (14.3% saved)

sample1.7s (20.2%)

Algorithm

1×

intervals

Results

637.0ms	8000×	body	128	valid
209.0ms	8000×	pre	128	true

Compiler

Compiled 580 to 482 computations (16.9% saved)

Details

analyze108.0ms (1.3%)

sample210.0ms (2.6%)

simplify58.0ms (0.7%)

prune4.0ms (0.1%)

localize22.0ms (0.3%)

series336.0ms (4.1%)

rewrite11.0ms (0.1%)

simplify84.0ms (1%)

prune135.0ms (1.6%)

localize23.0ms (0.3%)

series563.0ms (6.9%)

rewrite11.0ms (0.1%)

simplify106.0ms (1.3%)

prune185.0ms (2.3%)

localize23.0ms (0.3%)

series328.0ms (4%)

rewrite6.0ms (0.1%)

simplify70.0ms (0.9%)

prune117.0ms (1.4%)

localize28.0ms (0.3%)

series581.0ms (7.1%)

rewrite24.0ms (0.3%)

simplify118.0ms (1.4%)

prune651.0ms (7.9%)

regimes2.7s (33.5%)

simplify2.0ms (0%)

end1.0ms (0%)

sample1.7s (20.2%)

Profiling