Details

analyze32.0ms (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)

sample30.0ms (0.9%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify6.0ms (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

15.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	15.0b	(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
✓	14.6b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series430.0ms (12.3%)

Counts

1 → 24

Calls

1 calls:

429.0ms

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

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cbrt-prod_binary64`
3×	`*-un-lft-identity_binary64`
3×	`times-frac_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 18

Calls

1 calls:

2.0ms

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

simplify68.0ms (2%)

Algorithm

1×	egg-herbie

Rules

809×	`div-sub_binary64`
664×	`fma-def_binary64`
461×	`fma-neg_binary64`
390×	`times-frac_binary64`
300×	`unswap-sqr_binary64`

Counts

42 → 38

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	709
1	117	709
2	178	685
3	426	549
4	960	513
5	2276	513
6	4146	513
7	5010	513

prune35.0ms (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

0.2b

Counts

39 → 11

Alt Table

Status	Error	Program
	15.1b	(cbrt.f64 (.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) (cbrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (/.f64 g (*.f64 2 a)))))
✓	15.0b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	35.9b	(.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	15.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	38.8b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	39.3b	(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 g 2/3))) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	5.0b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	36.1b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))))
	15.4b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) (cbrt.f64 (/.f64 g (.f64 2 a))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))

Compiler

Compiled 751 to 548 computations (27% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series492.0ms (14.1%)

Counts

3 → 48

Calls

3 calls:

427.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
35.0ms	(cbrt.f64 (/.f64 1/2 a))
30.0ms	(cbrt.f64 g)

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-prod_binary64`
35×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
20×	`times-frac_binary64`

Counts

3 → 80

Calls

3 calls:

8.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
2.0ms	(cbrt.f64 (/.f64 1/2 a))
1.0ms	(cbrt.f64 g)

simplify87.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

521×	`exp-sum_binary64`
480×	`*-commutative_binary64`
376×	`fma-neg_binary64`
371×	`associate-l_binary64`
306×	`associate-r_binary64`

Counts

128 → 116

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	150	1729
1	260	1725
2	655	1660
3	1644	1530
4	3907	1502
5	5154	1502

prune88.0ms (2.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	106	10	116
Fresh	5	4	9
Picked	1	0	1
Done	0	1	1
Total	112	15	127

Error

0.0b

Counts

127 → 15

Alt Table

Status	Error	Program
	5.0b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
	1.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))))
✓	15.0b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	35.9b	(.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	15.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 a)))))
	1.0b	(.f64 (cbrt.f64 (.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	38.8b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	1.5b	(.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a))))) (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))))
	1.1b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 a) (cbrt.f64 a))))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 a))))
	32.7b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 a))) (cbrt.f64 (/.f64 1/2 (sqrt.f64 a)))))
	32.7b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 a)))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 a))))
▶	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))

Compiler

Compiled 2027 to 1350 computations (33.4% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
	0.6b	(cbrt.f64 g)
✓	1.0b	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
✓	1.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))

series375.0ms (10.8%)

Counts

3 → 12

Calls

3 calls:

375.0ms	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
0.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
0.0ms	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`cbrt-prod_binary64`
32×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`
18×	`times-frac_binary64`

Counts

3 → 86

Calls

3 calls:

6.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
3.0ms	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
2.0ms	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))

simplify108.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

683×	`fma-neg_binary64`
640×	`fma-def_binary64`
441×	`associate-/l*_binary64`
352×	`times-frac_binary64`
257×	`associate-*l/_binary64`

Counts

98 → 118

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	136	1389
1	196	1369
2	424	1342
3	1011	1244
4	2957	1061
5	3672	1039
6	4870	1039
7	5053	1039

prune129.0ms (3.7%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	133	3	136
Fresh	3	10	13
Picked	0	1	1
Done	0	1	1
Total	136	15	151

Error

0.0b

Counts

151 → 15

Alt Table

Status	Error	Program
	32.6b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 1/2) 2/3) (sqrt.f64 a))) (cbrt.f64 (/.f64 (cbrt.f64 (cbrt.f64 1/2)) (sqrt.f64 a)))))
	38.8b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	5.0b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
✓	15.0b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	35.9b	(.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	15.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 a)))))
▶	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2/3)) (cbrt.f64 (/.f64 (cbrt.f64 (cbrt.f64 1/2)) a))))
	1.4b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cbrt.f64 1/2) a))) (cbrt.f64 (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))) (cbrt.f64 (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))))
	1.5b	(.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a))))) (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))))
	1.1b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 a) (cbrt.f64 a))))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 a))))
	32.7b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 a))) (cbrt.f64 (/.f64 1/2 (sqrt.f64 a)))))
✓	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))

Compiler

Compiled 3281 to 2673 computations (18.5% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (cbrt.f64 1/2) 2/3)
	1.0b	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
	1.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
✓	1.6b	(cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2/3))

series0.0ms (0%)

Counts

2 → 0

Calls

2 calls:

0.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2/3))
0.0ms	(pow.f64 (cbrt.f64 1/2) 2/3)

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`cbrt-prod_binary64`
12×	`unpow-prod-down_binary64`
8×	`*-un-lft-identity_binary64`
8×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`

Counts

2 → 43

Calls

2 calls:

2.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2/3))
2.0ms	(pow.f64 (cbrt.f64 1/2) 2/3)

simplify80.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

511×	`*-commutative_binary64`
487×	`sqr-pow_binary64`
347×	`log-prod_binary64`
311×	`distribute-rgt-in_binary64`
308×	`distribute-lft-in_binary64`

Counts

43 → 51

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	61	485
1	93	480
2	188	477
3	502	477
4	1209	477
5	2601	435
6	3757	429
7	4912	429
8	4901	429

prune135.0ms (3.9%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	11	12
Picked	0	1	1
Done	0	2	2
Total	123	15	138

Error

0.0b

Counts

138 → 15

Alt Table

Status	Error	Program
	32.6b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 1/2) 2/3) (sqrt.f64 a))) (cbrt.f64 (/.f64 (cbrt.f64 (cbrt.f64 1/2)) (sqrt.f64 a)))))
	38.8b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	5.0b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (cbrt.f64 1/2)) 3) (sqrt.f64 (cbrt.f64 1/2))))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2/3)) (cbrt.f64 (/.f64 (cbrt.f64 (cbrt.f64 1/2)) a))))
	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
✓	15.0b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	35.9b	(.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	15.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 a)))))
✓	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2/3)) (cbrt.f64 (/.f64 (cbrt.f64 (cbrt.f64 1/2)) a))))
	1.4b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cbrt.f64 1/2) a))) (cbrt.f64 (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))) (cbrt.f64 (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))))
	1.1b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 a) (cbrt.f64 a))))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 a))))
	32.7b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 a))) (cbrt.f64 (/.f64 1/2 (sqrt.f64 a)))))
✓	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))

Compiler

Compiled 3553 to 3133 computations (11.8% saved)

regimes585.0ms (16.8%)

Accuracy

Total 0.8b remaining (92.7%)

Threshold costs 0.8b (92.7%)

Counts

107 → 1

Compiler

Compiled 9615 to 7902 computations (17.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	33
1	22	33
2	22	33

end1.0ms (0%)

Compiler: Compiled 22 to 20 computations (9.1% saved)

sample729.0ms (20.9%)

Algorithm

1×

intervals

Results

284.0ms

8000×

body

128

valid

Compiler

Compiled 305 to 249 computations (18.4% saved)

Details

analyze32.0ms (0.9%)

sample30.0ms (0.9%)

simplify6.0ms (0.2%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series430.0ms (12.3%)

rewrite4.0ms (0.1%)

simplify68.0ms (2%)

prune35.0ms (1%)

localize6.0ms (0.2%)

series492.0ms (14.1%)

rewrite15.0ms (0.4%)

simplify87.0ms (2.5%)

prune88.0ms (2.5%)

localize10.0ms (0.3%)

series375.0ms (10.8%)

rewrite15.0ms (0.4%)

simplify108.0ms (3.1%)

prune129.0ms (3.7%)

localize17.0ms (0.5%)

series0.0ms (0%)

rewrite5.0ms (0.1%)

simplify80.0ms (2.3%)

prune135.0ms (3.9%)

regimes585.0ms (16.8%)

simplify2.0ms (0.1%)

end1.0ms (0%)

sample729.0ms (20.9%)

Profiling