Details

analyze106.0ms (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)

sample214.0ms (3.1%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
6.0ms	256×	pre	128	true

Compiler

Compiled 49 to 41 computations (16.3% saved)

simplify59.0ms (0.9%)

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

Compiler

Compiled 79 to 67 computations (15.2% saved)

localize26.0ms (0.4%)

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

series347.0ms (5.1%)

Counts

4 → 60

Calls

4 calls:

339.0ms	(.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 (0.1%)

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

prune174.0ms (2.6%)

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 (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))))))
	1.5b	(.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))
	1.3b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	1.0b	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
	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))))))
	1.2b	(.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)))
	1.1b	(.f32 s (expm1.f32 (log1p.f32 (.f32 (log.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))
	1.2b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (cbrt.f32 s) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
	1.5b	(.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))
	16.8b	(cbrt.f32 (.f32 (.f32 (.f32 s s) s) (.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))))
	1.0b	(*.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))
	2.9b	(exp.f32 (log.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))
▶	0.9b	(.f32 s (.f32 (cbrt.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)))) -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))

Compiler

Compiled 3220 to 2545 computations (21% saved)

localize39.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(fma.f32 u -4/3 4/3)
✓	0.4b	(.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)))
✓	0.5b	(*.f32 (log.f32 (fma.f32 u -4/3 4/3)) (log.f32 (fma.f32 u -4/3 4/3)))
	0.7b	(log.f32 (fma.f32 u -4/3 4/3))

series26.0ms (0.4%)

Counts

2 → 24

Calls

2 calls:

19.0ms	(.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)))
6.0ms	(*.f32 (log.f32 (fma.f32 u -4/3 4/3)) (log.f32 (fma.f32 u -4/3 4/3)))

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`pow1_binary32`
14×	`add-sqr-sqrt_binary32`
13×	`*-un-lft-identity_binary32`
12×	`log-prod_binary32`
12×	`add-cbrt-cube_binary32`

Counts

2 → 76

Calls

2 calls:

5.0ms	(.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)))
4.0ms	(*.f32 (log.f32 (fma.f32 u -4/3 4/3)) (log.f32 (fma.f32 u -4/3 4/3)))

simplify94.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

434×	`fma-def_binary32`
411×	`times-frac_binary32`
361×	`sub-neg_binary32`
350×	`associate-+r+_binary32`
282×	`+-commutative_binary32`

Counts

100 → 131

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	3282
1	984	3013
2	3871	2864
3	5201	2864

prune410.0ms (6%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	283	7	290
Fresh	1	14	15
Picked	1	0	1
Done	0	0	0
Total	285	21	306

Error

0.2b

Counts

306 → 21

Alt Table

Status	Error	Program
	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))))))
	1.5b	(.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))
	1.3b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
▶	1.0b	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
	1.5b	(.f32 s (.f32 (cbrt.f32 (*.f32 (log.f32 (pow.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)))) -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))))))
	1.2b	(.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))))
	2.6b	(.f32 s (.f32 (cbrt.f32 (log.f32 (exp.f32 (pow.f32 (log.f32 (fma.f32 u -4/3 4/3)) 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)))
	1.4b	(.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))
	1.2b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (.f32 (cbrt.f32 s) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)))
	1.5b	(.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))
	16.8b	(cbrt.f32 (.f32 (.f32 (.f32 s s) s) (.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))))
	1.0b	(.f32 s (.f32 (cbrt.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) (log.f32 (fma.f32 u -4/3 4/3))) (+.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 (cbrt.f32 (+.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) (cbrt.f32 (fma.f32 u -4/3 4/3)))) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) (log.f32 (fma.f32 u -4/3 4/3)))) (.f32 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))) (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) (log.f32 (fma.f32 u -4/3 4/3)))))) -3))
	2.9b	(exp.f32 (log.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))
	1.0b	(.f32 s (.f32 (cbrt.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) (log.f32 (fma.f32 u -4/3 4/3))) (log.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3)))))) -3))
	1.0b	(.f32 s (.f32 (cbrt.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) (log.f32 (fma.f32 u -4/3 4/3))) (log.f32 (log.f32 (exp.f32 (fma.f32 u -4/3 4/3)))))) -3))
	1.1b	(.f32 s (.f32 (cbrt.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) (log.f32 (fma.f32 u -4/3 4/3))) (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 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 10784 to 8822 computations (18.2% 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	(fma.f32 u -4/3 4/3)
✓	0.3b	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
	0.7b	(log.f32 (fma.f32 u -4/3 4/3))

series668.0ms (9.8%)

Counts

2 → 48

Calls

2 calls:

334.0ms	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
334.0ms	(*.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:

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)))

simplify101.0ms (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

prune183.0ms (2.7%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	167	5	172
Fresh	4	16	20
Picked	1	0	1
Done	0	0	0
Total	172	21	193

Error

0.1b

Counts

193 → 21

Alt Table

Status	Error	Program
	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))))))
	1.5b	(.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))
	1.5b	(.f32 s (.f32 (cbrt.f32 (*.f32 (log.f32 (pow.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)))) -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))))))
	2.6b	(.f32 s (.f32 (cbrt.f32 (log.f32 (exp.f32 (pow.f32 (log.f32 (fma.f32 u -4/3 4/3)) 3)))) -3))
	1.0b	(*.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))
	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))))))
▶	0.9b	(.f32 (.f32 -3 s) (log.f32 (fma.f32 u -4/3 4/3)))
	2.9b	(exp.f32 (log.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))
	1.1b	(.f32 s (.f32 (cbrt.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) (log.f32 (fma.f32 u -4/3 4/3))) (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))
	1.4b	(.f32 -3 (+.f32 (.f32 s (.f32 2 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))))) (.f32 s (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))))))
	1.5b	(.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 (.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))
	1.2b	(.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 s) (cbrt.f32 s)) (.f32 (cbrt.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)))))
	1.0b	(.f32 s (.f32 (cbrt.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) (log.f32 (fma.f32 u -4/3 4/3))) (+.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 (cbrt.f32 (+.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) (cbrt.f32 (fma.f32 u -4/3 4/3)))) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) (log.f32 (fma.f32 u -4/3 4/3)))) (.f32 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))) (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) (log.f32 (fma.f32 u -4/3 4/3)))))) -3))
	1.0b	(.f32 s (.f32 (cbrt.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) (log.f32 (fma.f32 u -4/3 4/3))) (log.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3)))))) -3))
	1.0b	(.f32 s (.f32 (cbrt.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) (log.f32 (fma.f32 u -4/3 4/3))) (log.f32 (log.f32 (exp.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)))

Compiler

Compiled 3826 to 2978 computations (22.2% saved)

localize24.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(fma.f32 u -4/3 4/3)
✓	0.4b	(.f32 (.f32 -3 s) (log.f32 (fma.f32 u -4/3 4/3)))
	0.7b	(log.f32 (fma.f32 u -4/3 4/3))

series326.0ms (4.8%)

Counts

1 → 24

Calls

1 calls:

326.0ms

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

rewrite9.0ms (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:

8.0ms

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

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

512×	`fma-def_binary32`
395×	`times-frac_binary32`
383×	`unsub-neg_binary32`
337×	`*-commutative_binary32`
311×	`associate-+l+_binary32`

Counts

51 → 58

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1078
1	342	916
2	992	886
3	2197	876
4	4143	876
5	5072	876

prune109.0ms (1.6%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	20	20
Picked	0	1	1
Done	0	0	0
Total	111	21	132

Error

0.1b

Counts

132 → 21

Alt Table

Status	Error	Program
	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))))))
	1.5b	(.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))
	1.5b	(.f32 s (.f32 (cbrt.f32 (*.f32 (log.f32 (pow.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)))) -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))))))
	2.6b	(.f32 s (.f32 (cbrt.f32 (log.f32 (exp.f32 (pow.f32 (log.f32 (fma.f32 u -4/3 4/3)) 3)))) -3))
	1.0b	(*.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))
	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))))))
✓	0.9b	(.f32 (.f32 -3 s) (log.f32 (fma.f32 u -4/3 4/3)))
	2.9b	(exp.f32 (log.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))
	1.1b	(.f32 s (.f32 (cbrt.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) (log.f32 (fma.f32 u -4/3 4/3))) (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))
	1.4b	(.f32 -3 (+.f32 (.f32 s (.f32 2 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))))) (.f32 s (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))))))
	1.5b	(.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 (.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))
	1.2b	(.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 s) (cbrt.f32 s)) (.f32 (cbrt.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)))))
	1.0b	(.f32 s (.f32 (cbrt.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) (log.f32 (fma.f32 u -4/3 4/3))) (+.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 (cbrt.f32 (+.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) (cbrt.f32 (fma.f32 u -4/3 4/3)))) (.f32 (log.f32 (fma.f32 u -4/3 4/3)) (log.f32 (fma.f32 u -4/3 4/3)))) (.f32 (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))) (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) (log.f32 (fma.f32 u -4/3 4/3)))))) -3))
	1.0b	(.f32 s (.f32 (cbrt.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) (log.f32 (fma.f32 u -4/3 4/3))) (log.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3)))))) -3))
	1.0b	(.f32 s (.f32 (cbrt.f32 (.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) (log.f32 (fma.f32 u -4/3 4/3))) (log.f32 (log.f32 (exp.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)))

Compiler

Compiled 2305 to 1820 computations (21% saved)

regimes1.6s (23.7%)

Accuracy

Total 0.8b remaining (77.9%)

Threshold costs 0.8b (77.9%)

Counts

153 → 1

Compiler

Compiled 25612 to 21461 computations (16.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary32`
1×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	21	27
2	19	27

end2.0ms (0%)

Compiler: Compiled 20 to 17 computations (15% saved)

sample2.1s (30.3%)

Algorithm

1×

intervals

Results

1.0s	8000×	body	128	valid
206.0ms	8000×	pre	128	true

Compiler

Compiled 547 to 452 computations (17.4% saved)

Details

analyze106.0ms (1.5%)

sample214.0ms (3.1%)

simplify59.0ms (0.9%)

prune4.0ms (0.1%)

localize26.0ms (0.4%)

series347.0ms (5.1%)

rewrite10.0ms (0.1%)

simplify83.0ms (1.2%)

prune174.0ms (2.6%)

localize39.0ms (0.6%)

series26.0ms (0.4%)

rewrite13.0ms (0.2%)

simplify94.0ms (1.4%)

prune410.0ms (6%)

localize24.0ms (0.3%)

series668.0ms (9.8%)

rewrite11.0ms (0.2%)

simplify101.0ms (1.5%)

prune183.0ms (2.7%)

localize24.0ms (0.4%)

series326.0ms (4.8%)

rewrite9.0ms (0.1%)

simplify75.0ms (1.1%)

prune109.0ms (1.6%)

regimes1.6s (23.7%)

simplify2.0ms (0%)

end2.0ms (0%)

sample2.1s (30.3%)

Profiling