Details

analyze36.0ms (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)

sample818.0ms (20.9%)

Results

791.0ms

8256×

body

128

valid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify6.0ms (0.1%)

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

prune1.0ms (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

16.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	16.8b	(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
✓	16.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series394.0ms (10%)

Counts

1 → 24

Calls

1 calls:

394.0ms

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

rewrite42.0ms (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 → 31

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
0	0	0
1	0	0

simplify62.0ms (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

55 → 38

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

prune37.0ms (1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	28	10	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	11	39

Error

0.1b

Counts

39 → 11

Alt Table

Status	Error	Program
✓	16.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	16.9b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	27.5b	(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	17.4b	(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)))
	17.3b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	37.9b	(*.f64 (cbrt.f64 g) (pow.f64 (/.f64 1/2 a) 1/3))

Compiler

Compiled 591 to 455 computations (23% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series478.0ms (12.2%)

Counts

3 → 48

Calls

3 calls:

407.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
37.0ms	(cbrt.f64 g)
34.0ms	(cbrt.f64 (*.f64 2 a))

rewrite52.0ms (1.3%)

Algorithm

2×	batch-egg-rewrite

Rules

753×	`log1p-expm1-u_binary64`
753×	`expm1-log1p-u_binary64`
139×	`log1p-udef_binary64`
81×	`egg-rr`
78×	`add-sqr-sqrt_binary64`

Counts

3 → 81

Calls

3 calls:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	161	18
2	1949	18
3	4922	18
0	0	0
1	0	0

simplify75.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

817×	`div-sub_binary64`
646×	`fma-def_binary64`
496×	`associate-l_binary64`
461×	`fma-neg_binary64`
398×	`associate-r_binary64`

Counts

129 → 94

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	652
1	107	652
2	192	628
3	486	484
4	1214	468
5	3476	468
6	4294	468
7	5278	468

prune58.0ms (1.5%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	85	9	94
Fresh	3	6	9
Picked	0	1	1
Done	0	1	1
Total	88	17	105

Error

0.0b

Counts

105 → 17

Alt Table

Status	Error	Program
	1.2b	(*.f64 (cbrt.f64 (neg.f64 g)) (/.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 2)))
▶	0.8b	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
✓	16.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	17.3b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	4.5b	(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 g) 2) 1/3) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (.f64 2 a)))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
	1.5b	(/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3))
	16.9b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	1.5b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (.f64 (cbrt.f64 (cbrt.f64 g)) (/.f64 1 (cbrt.f64 (*.f64 2 a)))))
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	17.3b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
	1.5b	(/.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2)) (cbrt.f64 (.f64 2 a)))
	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	37.9b	(/.f64 (cbrt.f64 g) (pow.f64 (pow.f64 (*.f64 2 a) 1/6) 2))

Compiler

Compiled 1428 to 1040 computations (27.2% 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))
✓	0.6b	(cbrt.f64 a)

series492.0ms (12.6%)

Counts

3 → 48

Calls

3 calls:

428.0ms	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
34.0ms	(cbrt.f64 (/.f64 g 2))
30.0ms	(cbrt.f64 a)

rewrite50.0ms (1.3%)

Algorithm

2×	batch-egg-rewrite

Rules

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

Counts

3 → 84

Calls

3 calls:

48.0ms	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
48.0ms	(cbrt.f64 (/.f64 g 2))
48.0ms	(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

simplify59.0ms (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

132 → 98

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

prune89.0ms (2.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	93	5	98
Fresh	7	7	14
Picked	1	0	1
Done	1	1	2
Total	102	13	115

Error

0.0b

Counts

115 → 13

Alt Table

Status	Error	Program
	0.8b	(/.f64 (/.f64 1 (cbrt.f64 (/.f64 2 g))) (cbrt.f64 a))
	17.3b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
	1.5b	(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 g 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g 2))) 2)) (cbrt.f64 a))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
	1.5b	(/.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2)) (cbrt.f64 (.f64 2 a)))
	1.5b	(/.f64 (cbrt.f64 (/.f64 g 2)) (*.f64 (cbrt.f64 (cbrt.f64 a)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))
▶	0.8b	(*.f64 (cbrt.f64 (/.f64 g 2)) (/.f64 1 (cbrt.f64 a)))
	16.9b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	1.5b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (.f64 (cbrt.f64 (cbrt.f64 g)) (/.f64 1 (cbrt.f64 (*.f64 2 a)))))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	0.9b	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))

Compiler

Compiled 1395 to 1006 computations (27.9% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (cbrt.f64 a))
✓	0.3b	(*.f64 (cbrt.f64 (/.f64 g 2)) (/.f64 1 (cbrt.f64 a)))
	0.5b	(cbrt.f64 (/.f64 g 2))
	0.6b	(cbrt.f64 a)

series437.0ms (11.1%)

Counts

2 → 36

Calls

2 calls:

390.0ms	(*.f64 (cbrt.f64 (/.f64 g 2)) (/.f64 1 (cbrt.f64 a)))
46.0ms	(/.f64 1 (cbrt.f64 a))

rewrite47.0ms (1.2%)

Algorithm

2×	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 → 57

Calls

2 calls:

46.0ms	(/.f64 1 (cbrt.f64 a))
46.0ms	(*.f64 (cbrt.f64 (/.f64 g 2)) (/.f64 1 (cbrt.f64 a)))

Iterations

Useful iterations: 0 (0.0ms)

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

simplify56.0ms (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

93 → 69

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

prune68.0ms (1.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	124	3	127
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	126	14	140

Error

0.0b

Counts

140 → 14

Alt Table

Status	Error	Program
	0.8b	(/.f64 (/.f64 1 (cbrt.f64 (/.f64 2 g))) (cbrt.f64 a))
	17.3b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
	1.5b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g 2))) 3) (/.f64 1 (cbrt.f64 a)))
	1.6b	(*.f64 (cbrt.f64 (/.f64 g 2)) (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 a))) 3))
✓	0.8b	(*.f64 (cbrt.f64 (/.f64 g 2)) (/.f64 1 (cbrt.f64 a)))
	17.0b	(cbrt.f64 (*.f64 (/.f64 g 2) (pow.f64 (/.f64 1 (cbrt.f64 a)) 3)))
	16.9b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	1.5b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (.f64 (cbrt.f64 (cbrt.f64 g)) (/.f64 1 (cbrt.f64 (*.f64 2 a)))))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
	1.5b	(/.f64 (cbrt.f64 (/.f64 g 2)) (*.f64 (cbrt.f64 (cbrt.f64 a)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))
	0.9b	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))

Compiler

Compiled 1647 to 1196 computations (27.4% saved)

regimes387.0ms (9.9%)

Accuracy

Total 0.8b remaining (93.5%)

Threshold costs 0.8b (93.5%)

Counts

73 → 1

Compiler

Compiled 5035 to 4093 computations (18.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	13	14
2	12	14

end153.0ms (3.9%)

Compiler: Compiled 188 to 150 computations (20.2% saved)

Details

analyze36.0ms (0.9%)

sample818.0ms (20.9%)

simplify6.0ms (0.1%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series394.0ms (10%)

rewrite42.0ms (1.1%)

simplify62.0ms (1.6%)

prune37.0ms (1%)

localize6.0ms (0.1%)

series478.0ms (12.2%)

rewrite52.0ms (1.3%)

simplify75.0ms (1.9%)

prune58.0ms (1.5%)

localize6.0ms (0.1%)

series492.0ms (12.6%)

rewrite50.0ms (1.3%)

simplify59.0ms (1.5%)

prune89.0ms (2.3%)

localize7.0ms (0.2%)

series437.0ms (11.1%)

rewrite47.0ms (1.2%)

simplify56.0ms (1.4%)

prune68.0ms (1.7%)

regimes387.0ms (9.9%)

simplify3.0ms (0.1%)

end153.0ms (3.9%)

Profiling