Details

analyze272.0ms (3.9%)

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)

sample50.0ms (0.7%)

Algorithm

1×

intervals

Results

26.0ms	256×	body	128	valid
8.0ms	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

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
▶	0.9b	(.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)))))

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))

series347.0ms (5%)

Counts

4 → 60

Calls

4 calls:

337.0ms	(.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)

simplify83.0ms (1.2%)

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

prune528.0ms (7.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	142	19	161
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	143	20	163

Error

0.3b

Counts

163 → 20

Alt Table

Status	Error	Program
	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)))
	9.5b	(.f32 s (.f32 (expm1.f32 (log1p.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))))))
	1.4b	(.f32 s (.f32 (log.f32 (log.f32 (exp.f32 (fma.f32 u -4/3 4/3)))) -3))
▶	0.9b	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
	16.7b	(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 (log.f32 (expm1.f32 (log1p.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 (.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 (.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))
	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 (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	(expm1.f32 (log1p.f32 (.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))
	1.2b	(.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))))
	1.0b	(*.f32 s (log.f32 (pow.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)))
	1.1b	(.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))))
	1.7b	(.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))
	1.1b	(.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))))

Compiler

Compiled 3342 to 2649 computations (20.7% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.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)
	0.7b	(log.f32 (fma.f32 u -4/3 4/3))

series676.0ms (9.8%)

Counts

2 → 48

Calls

2 calls:

357.0ms	(*.f32 s (log.f32 (fma.f32 u -4/3 4/3)))
319.0ms	(.f32 -3 (.f32 s (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 -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)))

simplify102.0ms (1.5%)

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

prune187.0ms (2.7%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	166	6	172
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	170	22	192

Error

0.3b

Counts

192 → 22

Alt Table

Status	Error	Program
	1.0b	(*.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))
	1.2b	(.f32 -3 (.f32 (.f32 s (.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 s) (cbrt.f32 s)) (.f32 (cbrt.f32 s) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
	9.5b	(.f32 s (.f32 (expm1.f32 (log1p.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))))
	1.6b	(.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)))
	16.7b	(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 (log.f32 (expm1.f32 (log1p.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 -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))))))
	1.2b	(.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))))))
	1.2b	(.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 (.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))
	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 (log.f32 (sqrt.f32 (fma.f32 u -4/3 4/3))) (log.f32 (sqrt.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))))
	1.7b	(+.f32 (.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) (cbrt.f32 (fma.f32 u -4/3 4/3)))) s) -3) (.f32 (*.f32 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))) s) -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))))
	1.1b	(.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 (log.f32 (exp.f32 (fma.f32 u -4/3 4/3)))) -3))
▶	0.9b	(expm1.f32 (log1p.f32 (.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.6b	(+.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))))))

Compiler

Compiled 3766 to 2928 computations (22.3% saved)

localize31.0ms (0.5%)

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))

prune158.0ms (2.3%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	1	20	21
Picked	1	0	1
Done	0	0	0
Total	162	21	183

Error

0.3b

Counts

183 → 21

Alt Table

Status	Error	Program
	1.1b	(expm1.f32 (log1p.f32 (.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 (.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))))
▶	1.0b	(*.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))
	1.2b	(.f32 -3 (.f32 (.f32 s (.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 s) (cbrt.f32 s)) (.f32 (cbrt.f32 s) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
	9.5b	(.f32 s (.f32 (expm1.f32 (log1p.f32 (log.f32 (fma.f32 u -4/3 4/3)))) -3))
	16.7b	(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 (log.f32 (expm1.f32 (log1p.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 -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))))))
	1.2b	(.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))))))
	1.2b	(.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 (.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))
	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 (log.f32 (sqrt.f32 (fma.f32 u -4/3 4/3))) (log.f32 (sqrt.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))))
	1.7b	(+.f32 (.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) (cbrt.f32 (fma.f32 u -4/3 4/3)))) s) -3) (.f32 (*.f32 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))) s) -3))
	1.1b	(.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 (log.f32 (exp.f32 (fma.f32 u -4/3 4/3)))) -3))
	1.6b	(.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)))
	1.6b	(+.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))))))

Compiler

Compiled 3790 to 3073 computations (18.9% 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)
✓	0.4b	(log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))
✓	0.6b	(pow.f32 (fma.f32 u -4/3 4/3) -3)

series597.0ms (8.6%)

Counts

3 → 48

Calls

3 calls:

590.0ms	(*.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))

rewrite12.0ms (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))
2.0ms	(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

prune201.0ms (2.9%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	168	14	182
Fresh	12	8	20
Picked	1	0	1
Done	0	0	0
Total	181	22	203

Error

0.2b

Counts

203 → 22

Alt Table

Status	Error	Program
	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 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))))
	1.0b	(*.f32 s (exp.f32 (log.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))
	1.2b	(.f32 -3 (.f32 (.f32 s (.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)))))
	1.1b	(.f32 (sqrt.f32 s) (.f32 (sqrt.f32 s) (*.f32 (log.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 (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 1 (pow.f32 (-.f32 4/3 (.f32 4/3 u)) 3))))
	1.3b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	1.3b	(.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))))))
	1.2b	(.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))
	3.2b	(exp.f32 (+.f32 (log.f32 s) (log.f32 (log.f32 (pow.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))))
	0.9b	(expm1.f32 (log1p.f32 (.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))))
	1.6b	(+.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))))))
	1.3b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (cbrt.f32 s) (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3))))
	1.0b	(*.f32 s (+.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) (/.f32 -3 2))) (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) (/.f32 -3 2)))))
	1.1b	(*.f32 s (log.f32 (expm1.f32 (log1p.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))))
	1.6b	(.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))))
	1.1b	(*.f32 s (expm1.f32 (log1p.f32 (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))))

Compiler

Compiled 3387 to 2685 computations (20.7% saved)

regimes1.7s (24.4%)

Accuracy

Total 0.8b remaining (76.7%)

Threshold costs 0.8b (76.7%)

Counts

157 → 1

Compiler

Compiled 23686 to 19814 computations (16.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	16	29
2	16	29

end1.0ms (0%)

Compiler: Compiled 22 to 18 computations (18.2% saved)

sample1.7s (24.9%)

Algorithm

1×

intervals

Results

722.0ms	8000×	body	128	valid
199.0ms	8000×	pre	128	true

Compiler

Compiled 490 to 405 computations (17.3% saved)

Details

analyze272.0ms (3.9%)

sample50.0ms (0.7%)

simplify57.0ms (0.8%)

prune4.0ms (0.1%)

localize22.0ms (0.3%)

series347.0ms (5%)

rewrite10.0ms (0.1%)

simplify83.0ms (1.2%)

prune528.0ms (7.6%)

localize23.0ms (0.3%)

series676.0ms (9.8%)

rewrite11.0ms (0.2%)

simplify102.0ms (1.5%)

prune187.0ms (2.7%)

localize31.0ms (0.5%)

prune158.0ms (2.3%)

localize23.0ms (0.3%)

series597.0ms (8.6%)

rewrite12.0ms (0.2%)

simplify110.0ms (1.6%)

prune201.0ms (2.9%)

regimes1.7s (24.4%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.7s (24.9%)

Profiling