Details

analyze36.0ms (0.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample823.0ms (19.1%)

Results

792.0ms

8256×

body

128

valid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
2	12	9
3	12	9

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

17.9b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	17.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 24 to 18 computations (25% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	17.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series373.0ms (8.6%)

Counts

1 → 24

Calls

1 calls:

372.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite42.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

695×	`log1p-expm1-u_binary64`
695×	`expm1-log1p-u_binary64`
129×	`expm1-udef_binary64`
129×	`log1p-udef_binary64`
115×	`log-pow_binary64`

Counts

1 → 30

Calls

1 calls:

41.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	145	9
2	1811	9
3	4982	9

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

801×	`div-sub_binary64`
792×	`fma-def_binary64`
513×	`fma-neg_binary64`
310×	`times-frac_binary64`
268×	`unswap-sqr_binary64`

Counts

54 → 37

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	472
1	76	472
2	132	448
3	375	312
4	906	280
5	2132	280
6	4048	280
7	5162	280

prune30.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	29	8	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	9	38

Error

0.2b

Counts

38 → 9

Alt Table

Status	Error	Program
	17.6b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
✓	17.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
▶	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	18.5b	(.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 2))
	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	18.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	0.8b	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))

Compiler

Compiled 561 to 431 computations (23.2% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
✓	0.4b	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
✓	0.5b	(cbrt.f64 (*.f64 2 a))
✓	0.6b	(cbrt.f64 g)

series835.0ms (19.3%)

Counts

4 → 72

Calls

4 calls:

399.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
372.0ms	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
33.0ms	(cbrt.f64 (*.f64 2 a))
30.0ms	(cbrt.f64 g)

rewrite56.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

893×	`log1p-expm1-u_binary64`
893×	`expm1-log1p-u_binary64`
123×	`egg-rr`
95×	`add-sqr-sqrt_binary64`
90×	`add-cbrt-cube_binary64`

Counts

4 → 123

Calls

4 calls:

55.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
55.0ms	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
54.0ms	(cbrt.f64 (*.f64 2 a))
54.0ms	(cbrt.f64 g)

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	202	27
2	2341	27
3	5546	27

simplify110.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

667×	`fma-neg_binary64`
390×	`exp-sum_binary64`
376×	`div-sub_binary64`
340×	`associate-/l*_binary64`
339×	`fma-def_binary64`

Counts

195 → 145

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	72	1136
1	155	1136
2	278	1056
3	722	768
4	1890	768
5	4514	764
6	4067	764
7	4752	764
8	4951	764

prune91.0ms (2.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	136	9	145
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	139	15	154

Error

0.1b

Counts

154 → 15

Alt Table

Status	Error	Program
	17.6b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
✓	17.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	18.5b	(.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 2))
	1.5b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) 1) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (.f64 2 a))))
	18.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.7b	(/.f64 1 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) (/.f64 1 (cbrt.f64 g)))))
	0.9b	(/.f64 1 (.f64 (cbrt.f64 (.f64 2 a)) (/.f64 1 (cbrt.f64 g))))
	18.3b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
▶	0.8b	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
	18.0b	(cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))) 3))
	1.1b	(/.f64 1 (*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 g)))))
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	0.9b	(.f64 (/.f64 1 (cbrt.f64 (.f64 2 a))) (pow.f64 (/.f64 1 (cbrt.f64 g)) -1))
	18.2b	(/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 2 a) g))) 3))
	1.1b	(/.f64 1 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 a) (/.f64 1 (cbrt.f64 g)))))

Compiler

Compiled 2258 to 1708 computations (24.4% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
✓	0.6b	(cbrt.f64 (/.f64 g 2))
✓	0.6b	(cbrt.f64 a)

series443.0ms (10.3%)

Counts

3 → 48

Calls

3 calls:

380.0ms	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
34.0ms	(cbrt.f64 (/.f64 g 2))
28.0ms	(cbrt.f64 a)

rewrite52.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

801×	`log1p-expm1-u_binary64`
801×	`expm1-log1p-u_binary64`
82×	`egg-rr`
82×	`add-sqr-sqrt_binary64`
78×	`add-cube-cbrt_binary64`

Counts

3 → 82

Calls

3 calls:

51.0ms	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
51.0ms	(cbrt.f64 (/.f64 g 2))
51.0ms	(cbrt.f64 a)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	169	18
2	2084	18
3	4987	18

simplify63.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

772×	`unswap-sqr_binary64`
605×	`associate-l_binary64`
405×	`fma-def_binary64`
355×	`fma-neg_binary64`
350×	`div-sub_binary64`

Counts

130 → 97

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	652
1	111	652
2	195	628
3	500	484
4	1269	468
5	3400	468
6	5338	468

prune65.0ms (1.5%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	6	7	13
Picked	0	1	1
Done	0	1	1
Total	96	16	112

Error

0.0b

Counts

112 → 16

Alt Table

Status	Error	Program
	17.6b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
✓	17.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
▶	0.8b	(*.f64 (cbrt.f64 (/.f64 g 2)) (/.f64 1 (cbrt.f64 a)))
	1.1b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
	0.9b	(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (neg.f64 g)) (cbrt.f64 (/.f64 -1 a))))
	0.9b	(.f64 (/.f64 1 (cbrt.f64 (.f64 2 a))) (pow.f64 (/.f64 1 (cbrt.f64 g)) -1))
	18.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.7b	(/.f64 1 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) (/.f64 1 (cbrt.f64 g)))))
✓	0.8b	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
	1.1b	(/.f64 1 (*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 g)))))
	0.9b	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
	1.5b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) 1) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (.f64 2 a))))
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	0.8b	(/.f64 (/.f64 1 (cbrt.f64 (/.f64 2 g))) (cbrt.f64 a))
	1.6b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g 2))) 2) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 g 2))) (/.f64 1 (cbrt.f64 a))))
	1.5b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 (cbrt.f64 a))))

Compiler

Compiled 1476 to 1084 computations (26.6% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (cbrt.f64 a))
✓	0.3b	(*.f64 (cbrt.f64 (/.f64 g 2)) (/.f64 1 (cbrt.f64 a)))
	0.6b	(cbrt.f64 (/.f64 g 2))
	0.6b	(cbrt.f64 a)

series420.0ms (9.7%)

Counts

2 → 36

Calls

2 calls:

375.0ms	(*.f64 (cbrt.f64 (/.f64 g 2)) (/.f64 1 (cbrt.f64 a)))
45.0ms	(/.f64 1 (cbrt.f64 a))

rewrite50.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

832×	`log1p-expm1-u_binary64`
832×	`expm1-log1p-u_binary64`
95×	`add-sqr-sqrt_binary64`
89×	`add-cbrt-cube_binary64`
88×	`add-log-exp_binary64`

Counts

2 → 56

Calls

2 calls:

49.0ms	(/.f64 1 (cbrt.f64 a))
49.0ms	(*.f64 (cbrt.f64 (/.f64 g 2)) (/.f64 1 (cbrt.f64 a)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	203	15
2	2233	15
3	5128	15

simplify60.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

936×	`unswap-sqr_binary64`
525×	`associate-l_binary64`
475×	`associate-r_binary64`
403×	`fma-def_binary64`
359×	`fma-neg_binary64`

Counts

92 → 68

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	588
1	96	576
2	171	552
3	458	412
4	1192	392
5	3561	392
6	5818	392

prune74.0ms (1.7%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	2	11	13
Picked	0	1	1
Done	0	2	2
Total	124	17	141

Error

0.0b

Counts

141 → 17

Alt Table

Status	Error	Program
	17.6b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
✓	17.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.9b	(*.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 (/.f64 1 a)))
	1.5b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) 1) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (.f64 2 a))))
✓	0.8b	(*.f64 (cbrt.f64 (/.f64 g 2)) (/.f64 1 (cbrt.f64 a)))
	1.1b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
	18.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.5b	(*.f64 (cbrt.f64 (/.f64 g 2)) (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 a))) 3))
	1.7b	(/.f64 1 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) (/.f64 1 (cbrt.f64 g)))))
✓	0.8b	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
	1.1b	(/.f64 1 (*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 g)))))
	0.9b	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	0.9b	(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (neg.f64 g)) (cbrt.f64 (/.f64 -1 a))))
	0.8b	(/.f64 (/.f64 1 (cbrt.f64 (/.f64 2 g))) (cbrt.f64 a))
	1.6b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g 2))) 2) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 g 2))) (/.f64 1 (cbrt.f64 a))))
	1.6b	(/.f64 (/.f64 (cbrt.f64 (/.f64 g 2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (cbrt.f64 (cbrt.f64 a)))

Compiler

Compiled 1678 to 1225 computations (27% saved)

regimes415.0ms (9.6%)

Accuracy

Total 0.8b remaining (96.3%)

Threshold costs 0.8b (96.3%)

Counts

82 → 1

Compiler

Compiled 5865 to 4784 computations (18.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
3×	`+-commutative_binary64`
3×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	22	18
2	28	18
3	32	18
4	33	18
5	32	18

end183.0ms (4.2%)

Compiler: Compiled 241 to 195 computations (19.1% saved)

Details

analyze36.0ms (0.8%)

sample823.0ms (19.1%)

simplify9.0ms (0.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series373.0ms (8.6%)

rewrite42.0ms (1%)

simplify62.0ms (1.4%)

prune30.0ms (0.7%)

localize7.0ms (0.2%)

series835.0ms (19.3%)

rewrite56.0ms (1.3%)

simplify110.0ms (2.5%)

prune91.0ms (2.1%)

localize7.0ms (0.2%)

series443.0ms (10.3%)

rewrite52.0ms (1.2%)

simplify63.0ms (1.5%)

prune65.0ms (1.5%)

localize7.0ms (0.2%)

series420.0ms (9.7%)

rewrite50.0ms (1.2%)

simplify60.0ms (1.4%)

prune74.0ms (1.7%)

regimes415.0ms (9.6%)

simplify2.0ms (0.1%)

end183.0ms (4.2%)

Profiling