Details

analyze38.0ms (0.9%)

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)

sample805.0ms (19.5%)

Results

776.0ms

8256×

body

128

valid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify8.0ms (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

15.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	15.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 24 to 18 computations (25% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	15.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series372.0ms (9%)

Counts

1 → 24

Calls

1 calls:

372.0ms

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

rewrite44.0ms (1.1%)

Algorithm

2×	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:

43.0ms

(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
0	0	0
1	0	0

simplify64.0ms (1.6%)

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

prune31.0ms (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

0.1b

Counts

38 → 9

Alt Table

Status	Error	Program
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
✓	15.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	16.4b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
	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)))
	15.9b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	16.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 3)
▶	0.8b	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))

Compiler

Compiled 541 to 415 computations (23.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series482.0ms (11.7%)

Counts

3 → 48

Calls

3 calls:

419.0ms	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
33.0ms	(cbrt.f64 (/.f64 g 2))
29.0ms	(cbrt.f64 a)

rewrite51.0ms (1.2%)

Algorithm

2×	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:

50.0ms	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
50.0ms	(cbrt.f64 (/.f64 g 2))
50.0ms	(cbrt.f64 a)

Iterations

Useful iterations: 0 (0.0ms)

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

simplify61.0ms (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	616
3	500	484
4	1269	468
5	3400	468
6	5338	468

prune52.0ms (1.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	94	12	106

Error

0.0b

Counts

106 → 12

Alt Table

Status	Error	Program
	35.2b	(/.f64 (exp.f64 (log.f64 (cbrt.f64 (/.f64 g 2)))) (cbrt.f64 a))
	15.9b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	0.9b	(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (neg.f64 g)) (cbrt.f64 (/.f64 -1 a))))
✓	0.8b	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
✓	15.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	16.4b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.5b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g 2))) 3) (cbrt.f64 a))
	1.2b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
	0.9b	(/.f64 (/.f64 1 (cbrt.f64 (/.f64 2 g))) (cbrt.f64 a))
▶	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))

Compiler

Compiled 1287 to 943 computations (26.7% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series836.0ms (20.2%)

Counts

4 → 72

Calls

4 calls:

388.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
376.0ms	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
43.0ms	(cbrt.f64 (*.f64 2 a))
29.0ms	(cbrt.f64 g)

rewrite67.0ms (1.6%)

Algorithm

2×	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:

65.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
65.0ms	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
65.0ms	(cbrt.f64 g)
65.0ms	(cbrt.f64 (*.f64 2 a))

Iterations

Useful iterations: 0 (0.0ms)

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

simplify113.0ms (2.7%)

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	1032
3	722	768
4	1890	768
5	4514	764
6	4067	764
7	4752	764
8	4951	764

prune77.0ms (1.9%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	140	5	145
Fresh	1	8	9
Picked	1	0	1
Done	0	2	2
Total	142	15	157

Error

0.0b

Counts

157 → 15

Alt Table

Status	Error	Program
	1.5b	(/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3) (cbrt.f64 g)))
	16.4b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
	16.3b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
	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 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
✓	15.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	18.7b	(/.f64 1 (/.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 2 a)))) (cbrt.f64 g)))
	1.1b	(/.f64 1 (/.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 2)) (cbrt.f64 g)))
	15.9b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.5b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g 2))) 3) (cbrt.f64 a))
	1.2b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
	0.9b	(/.f64 (/.f64 1 (cbrt.f64 (/.f64 2 g))) (cbrt.f64 a))
	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))

Compiler

Compiled 2147 to 1641 computations (23.6% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series429.0ms (10.4%)

Counts

1 → 24

Calls

1 calls:

429.0ms

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

rewrite45.0ms (1.1%)

Algorithm

2×	batch-egg-rewrite

Rules

753×	`log1p-expm1-u_binary64`
753×	`expm1-log1p-u_binary64`
139×	`log1p-udef_binary64`
78×	`add-sqr-sqrt_binary64`
74×	`add-cube-cbrt_binary64`

Counts

1 → 35

Calls

1 calls:

44.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	161	9
2	1949	9
3	4922	9
0	0	0
1	0	0

simplify60.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

809×	`div-sub_binary64`
636×	`fma-def_binary64`
453×	`fma-neg_binary64`
417×	`times-frac_binary64`
268×	`unswap-sqr_binary64`

Counts

59 → 43

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	484
1	77	484
2	137	452
3	381	320
4	942	300
5	2343	300
6	4158	300
7	5110	300

prune50.0ms (1.2%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	2	10	12
Picked	0	1	1
Done	0	2	2
Total	94	14	108

Error

0.0b

Counts

108 → 14

Alt Table

Status	Error	Program
	1.5b	(/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3) (cbrt.f64 g)))
	16.4b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
	0.9b	(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (neg.f64 g)) (cbrt.f64 (/.f64 -1 a))))
	1.5b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (*.f64 2 a)))
✓	0.8b	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
✓	15.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	18.7b	(/.f64 1 (/.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 2 a)))) (cbrt.f64 g)))
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.1b	(/.f64 1 (/.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 2)) (cbrt.f64 g)))
	15.9b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.5b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g 2))) 3) (cbrt.f64 a))
	0.9b	(/.f64 (/.f64 1 (cbrt.f64 (/.f64 2 g))) (cbrt.f64 a))
	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))

Compiler

Compiled 1181 to 863 computations (26.9% saved)

regimes244.0ms (5.9%)

Accuracy

Total 0.8b remaining (93.9%)

Threshold costs 0.8b (93.9%)

Counts

36 → 1

Compiler

Compiled 2457 to 2023 computations (17.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end173.0ms (4.2%)

Compiler: Compiled 171 to 139 computations (18.7% saved)

Details

analyze38.0ms (0.9%)

sample805.0ms (19.5%)

simplify8.0ms (0.2%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series372.0ms (9%)

rewrite44.0ms (1.1%)

simplify64.0ms (1.6%)

prune31.0ms (0.7%)

localize6.0ms (0.1%)

series482.0ms (11.7%)

rewrite51.0ms (1.2%)

simplify61.0ms (1.5%)

prune52.0ms (1.3%)

localize7.0ms (0.2%)

series836.0ms (20.2%)

rewrite67.0ms (1.6%)

simplify113.0ms (2.7%)

prune77.0ms (1.9%)

localize7.0ms (0.2%)

series429.0ms (10.4%)

rewrite45.0ms (1.1%)

simplify60.0ms (1.4%)

prune50.0ms (1.2%)

regimes244.0ms (5.9%)

simplify2.0ms (0%)

end173.0ms (4.2%)

Profiling