Details

analyze107.0ms (1.6%)

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)

sample1.7s (26%)

Results

1.6s

8256×

body

128

valid

Compiler

Compiled 78 to 64 computations (17.9% saved)

simplify55.0ms (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

0.8b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	1.1b	(.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)

localize21.0ms (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)
✓	0.8b	(log.f32 (fma.f32 u -4/3 4/3))

series371.0ms (5.5%)

Counts

4 → 60

Calls

4 calls:

354.0ms	(.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))
10.0ms	(fma.f32 u -4/3 4/3)
3.0ms	(*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3)
3.0ms	(log.f32 (fma.f32 u -4/3 4/3))

rewrite10.0ms (0.2%)

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)

simplify76.0ms (1.1%)

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

prune140.0ms (2.1%)

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

0.4b

Counts

163 → 17

Alt Table

Status	Error	Program
	3.1b	(exp.f32 (log.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))
	1.6b	(.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))
	1.3b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
▶	1.1b	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
	1.3b	(.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 (expm1.f32 (log1p.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)))
	1.3b	(.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))
	1.3b	(.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))))
	1.1b	(.f32 s (log.f32 (exp.f32 (.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))
	1.6b	(.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 (log1p.f32 (expm1.f32 (log.f32 (fma.f32 u -4/3 4/3)))) -3))
	1.2b	(.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 (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))))
	1.3b	(.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 (.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))))

Compiler

Compiled 3248 to 2571 computations (20.8% 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)
	0.8b	(log.f32 (fma.f32 u -4/3 4/3))

series638.0ms (9.5%)

Counts

2 → 48

Calls

2 calls:

323.0ms	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
315.0ms	(*.f32 s (log.f32 (fma.f32 u -4/3 4/3)))

rewrite18.0ms (0.3%)

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:

11.0ms	(.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)))

simplify99.0ms (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

prune155.0ms (2.3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	163	9	172
Fresh	5	11	16
Picked	1	0	1
Done	0	0	0
Total	169	20	189

Error

0.3b

Counts

189 → 20

Alt Table

Status	Error	Program
	1.4b	(.f32 -3 (.f32 s (log.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3))))))
	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))
	1.3b	(.f32 -3 (+.f32 (.f32 (log.f32 (sqrt.f32 (fma.f32 u -4/3 4/3))) s) (*.f32 (log.f32 (sqrt.f32 (fma.f32 u -4/3 4/3))) s)))
	1.6b	(.f32 -3 (.f32 s (+.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))))))
	3.1b	(exp.f32 (log.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))
	1.3b	(.f32 -3 (.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)))) (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3))))))
	1.6b	(.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 (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))))
	1.6b	(.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))))))
	1.3b	(.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))))
	1.1b	(.f32 s (log.f32 (exp.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.3b	(.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))))
	1.6b	(.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)))
	1.3b	(.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)))))
	1.2b	(.f32 s (.f32 (log1p.f32 (expm1.f32 (log.f32 (fma.f32 u -4/3 4/3)))) -3))
	1.3b	(.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 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	1.2b	(.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))))
	1.6b	(+.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 (.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))))))

Compiler

Compiled 3740 to 2916 computations (22% saved)

localize44.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.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)))
	0.3b	(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)))
	0.8b	(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)))
3.0ms	(*.f32 (log.f32 (fma.f32 u -4/3 4/3)) (log.f32 (fma.f32 u -4/3 4/3)))

simplify90.0ms (1.3%)

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

prune418.0ms (6.2%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	282	8	290
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	286	24	310

Error

0.2b

Counts

310 → 24

Alt Table

Status	Error	Program
	1.4b	(.f32 -3 (.f32 s (log.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3))))))
	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))
	1.3b	(.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 (log.f32 (exp.f32 (fma.f32 u -4/3 4/3))))) (.f32 (.f32 -3 -3) -3))))
	1.3b	(.f32 -3 (+.f32 (.f32 (log.f32 (sqrt.f32 (fma.f32 u -4/3 4/3))) s) (*.f32 (log.f32 (sqrt.f32 (fma.f32 u -4/3 4/3))) s)))
	1.2b	(.f32 s (cbrt.f32 (.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))))) (.f32 (*.f32 -3 -3) -3))))
	1.6b	(.f32 -3 (.f32 s (+.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))))))
	3.1b	(exp.f32 (log.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))
	1.3b	(.f32 -3 (.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)))) (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3))))))
	1.6b	(.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 (cbrt.f32 (.f32 (.f32 (exp.f32 (log.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))))
	1.3b	(.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))))))
▶	1.1b	(.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 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3))))) (.f32 (.f32 -3 -3) -3))))
	1.2b	(.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))))
	1.3b	(.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))))
	1.1b	(.f32 s (log.f32 (exp.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.2b	(.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 (.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))))) (.f32 (.f32 -3 -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))))))
	1.1b	(.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 (log1p.f32 (expm1.f32 (fma.f32 u -4/3 4/3))))) (.f32 (.f32 -3 -3) -3))))
	1.3b	(.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 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 (.f32 (sqrt.f32 (fma.f32 u -4/3 4/3)) (sqrt.f32 (fma.f32 u -4/3 4/3))))) (.f32 (*.f32 -3 -3) -3))))
	1.3b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	1.6b	(.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))))))
	1.8b	(.f32 s (cbrt.f32 (.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))) (.f32 (*.f32 -3 -3) -3))))
	1.3b	(.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))))

Compiler

Compiled 12192 to 10208 computations (16.3% saved)

localize56.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(expm1.f32 (log1p.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)))
	0.8b	(log.f32 (fma.f32 u -4/3 4/3))
✓	0.8b	(log.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3))))

series5.0ms (0.1%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(log.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3))))
2.0ms	(expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3)))

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-exp-log_binary32`
3×	`*-un-lft-identity_binary32`
3×	`add-sqr-sqrt_binary32`
3×	`log-prod_binary32`
3×	`add-cube-cbrt_binary32`

Counts

2 → 25

Calls

2 calls:

1.0ms	(log.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3))))
0.0ms	(expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3)))

simplify55.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

567×	`fma-def_binary32`
390×	`unsub-neg_binary32`
295×	`sub-neg_binary32`
269×	`associate-l_binary32`
246×	`cancel-sign-sub-inv_binary32`

Counts

49 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	547
1	175	487
2	475	487
3	1508	484
4	4419	484
5	5032	484

prune324.0ms (4.8%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	203	4	207
Fresh	2	21	23
Picked	1	0	1
Done	0	0	0
Total	206	25	231

Error

0.1b

Counts

231 → 25

Alt Table

Status	Error	Program
	1.1b	(.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 (.f32 (sqrt.f32 (fma.f32 u -4/3 4/3)) (sqrt.f32 (fma.f32 u -4/3 4/3))))) (.f32 (*.f32 -3 -3) -3))))
	1.2b	(.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 (.f32 (.f32 (cbrt.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3)))) (cbrt.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3))))) (cbrt.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3))))))) (.f32 (.f32 -3 -3) -3))))
	1.4b	(.f32 -3 (.f32 s (log.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3))))))
	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))
	1.3b	(.f32 -3 (+.f32 (.f32 (log.f32 (sqrt.f32 (fma.f32 u -4/3 4/3))) s) (*.f32 (log.f32 (sqrt.f32 (fma.f32 u -4/3 4/3))) s)))
	1.2b	(.f32 s (cbrt.f32 (.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))))) (.f32 (*.f32 -3 -3) -3))))
	1.6b	(.f32 -3 (.f32 s (+.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))))))
	3.1b	(exp.f32 (log.f32 (.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))))
	1.3b	(.f32 -3 (.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)))) (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3))))))
	1.6b	(.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 (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 (-.f32 (exp.f32 (log1p.f32 (fma.f32 u -4/3 4/3))) 1))) (.f32 (.f32 -3 -3) -3))))
	1.1b	(.f32 s (cbrt.f32 (.f32 (.f32 (exp.f32 (log.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))))
	1.3b	(.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 (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))))
	1.1b	(.f32 s (log.f32 (exp.f32 (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))))
	1.2b	(.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 (.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))))) (.f32 (.f32 -3 -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))))))
	1.1b	(.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 (log1p.f32 (expm1.f32 (fma.f32 u -4/3 4/3))))) (.f32 (.f32 -3 -3) -3))))
	1.1b	(.f32 s (cbrt.f32 (.f32 (.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)))) (pow.f32 (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3))) 4)) (log.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3))))) (.f32 (*.f32 -3 -3) -3))))
	1.1b	(.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 (.f32 (sqrt.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3)))) (sqrt.f32 (expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3))))))) (.f32 (*.f32 -3 -3) -3))))
	1.3b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	1.2b	(.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))))
	1.6b	(.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))))))
	1.8b	(.f32 s (cbrt.f32 (.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))) (.f32 (*.f32 -3 -3) -3))))
	1.3b	(.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))))

Compiler

Compiled 8289 to 7012 computations (15.4% saved)

regimes1.7s (26%)

Accuracy

Total 0.9b remaining (80%)

Threshold costs 0.9b (80%)

Counts

154 → 1

Compiler

Compiled 32110 to 27347 computations (14.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary32`
1×	`+-commutative_binary32`
1×	`sub-neg_binary32`
1×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	40
1	30	40
2	31	40
3	27	40

end457.0ms (6.8%)

Compiler: Compiled 756 to 644 computations (14.8% saved)

Details

analyze107.0ms (1.6%)

sample1.7s (26%)

simplify55.0ms (0.8%)

prune4.0ms (0.1%)

localize21.0ms (0.3%)

series371.0ms (5.5%)

rewrite10.0ms (0.2%)

simplify76.0ms (1.1%)

prune140.0ms (2.1%)

localize23.0ms (0.3%)

series638.0ms (9.5%)

rewrite18.0ms (0.3%)

simplify99.0ms (1.5%)

prune155.0ms (2.3%)

localize44.0ms (0.7%)

series26.0ms (0.4%)

rewrite13.0ms (0.2%)

simplify90.0ms (1.3%)

prune418.0ms (6.2%)

localize56.0ms (0.8%)

series5.0ms (0.1%)

rewrite2.0ms (0%)

simplify55.0ms (0.8%)

prune324.0ms (4.8%)

regimes1.7s (26%)

simplify2.0ms (0%)

end457.0ms (6.8%)

Profiling