Details

analyze48.0ms (1.6%)

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)

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 0

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

1 alts after pruning (1 fresh and 0 done)

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

Error

13.3b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	13.3b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 16 to 12 computations (25% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

12.9b

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

rewrite19.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

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)))

Compiler

Compiled 212 to 152 computations (28.3% saved)

series41.0ms (1.4%)

Error

4.5b

Counts

1 → 6

Calls

1 calls:

36.0ms

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

Compiler

Compiled 253 to 217 computations (14.2% saved)

simplify68.0ms (2.3%)

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

24 → 20

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	355
1	117	355
2	178	349
3	426	315
4	960	303
5	2276	303
6	4146	303
7	5010	303

prune20.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	13	7	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	8	21

Error

0.3b

Counts

21 → 8

Alt Table

Status	Error	Program
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	14.0b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2)))) (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
	43.7b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 a 2)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))))
	13.7b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 a 2))) (cbrt.f64 (/.f64 g (.f64 a 2))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
	43.6b	(.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
	13.2b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
✓	13.3b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))

Compiler

Compiled 392 to 292 computations (25.5% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
0.6b	(cbrt.f64 g)
0.7b	(cbrt.f64 (*.f64 a 2))

rewrite58.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`cbrt-prod_binary64`
24×	`times-frac_binary64`
21×	`*-un-lft-identity_binary64`
21×	`add-sqr-sqrt_binary64`
21×	`add-cube-cbrt_binary64`

Counts

3 → 72

Calls

3 calls:

3.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
2.0ms	(cbrt.f64 (*.f64 a 2))
1.0ms	(cbrt.f64 g)

Compiler

Compiled 979 to 584 computations (40.3% saved)

series81.0ms (2.8%)

Error

0.3b

Counts

3 → 12

Calls

3 calls:

50.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
13.0ms	(cbrt.f64 g)
13.0ms	(cbrt.f64 (*.f64 a 2))

Compiler

Compiled 443 to 374 computations (15.6% saved)

simplify126.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

639×	`associate-/r*_binary64`
464×	`associate-l_binary64`
372×	`associate-/r/_binary64`
357×	`associate-*l/_binary64`
226×	`fma-neg_binary64`

Counts

84 → 39

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	132	1332
1	222	1266
2	506	1232
3	1521	1193
4	4344	1189
5	4991	1189
6	4911	1189

prune26.0ms (0.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	33	6	39
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	35	12	47

Error

0.1b

Counts

47 → 12

Alt Table

Status	Error	Program
	13.7b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 a 2))) (cbrt.f64 (/.f64 g (.f64 a 2))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
	32.2b	(.f64 (/.f64 (cbrt.f64 (pow.f64 g 2/3)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 a 2))) (cbrt.f64 (cbrt.f64 (.f64 a 2))))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 (*.f64 a 2)))))
	43.6b	(.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
	1.6b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
	13.7b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
	13.5b	(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2))) 3))
	30.4b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))
▶	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	13.2b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
✓	13.3b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2)))

Compiler

Compiled 679 to 487 computations (28.3% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.3b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.6b	(cbrt.f64 (/.f64 1/2 a))
0.6b	(cbrt.f64 g)

rewrite67.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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:

7.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
2.0ms	(cbrt.f64 (/.f64 1/2 a))
1.0ms	(cbrt.f64 g)

Compiler

Compiled 1056 to 665 computations (37% saved)

series68.0ms (2.3%)

Error

0.1b

Counts

3 → 12

Calls

3 calls:

36.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
14.0ms	(cbrt.f64 (/.f64 1/2 a))
13.0ms	(cbrt.f64 g)

Compiler

Compiled 453 to 384 computations (15.2% saved)

simplify88.0ms (3%)

Algorithm

1×	egg-herbie

Rules

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

Counts

92 → 36

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	150	1219
1	260	1215
2	655	1192
3	1644	1158
4	3907	1148
5	5154	1148

prune29.0ms (1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	2	7	9
Picked	1	0	1
Done	0	2	2
Total	36	12	48

Error

0.1b

Counts

48 → 12

Alt Table

Status	Error	Program
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
	1.6b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
	13.7b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
▶	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
✓	13.3b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	13.5b	(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2))) 3))
	30.4b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))
	13.7b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 a 2))) (cbrt.f64 (/.f64 g (.f64 a 2))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a))))
	13.2b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2)))

Compiler

Compiled 594 to 437 computations (26.4% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
0.5b	(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
0.6b	(cbrt.f64 (/.f64 -1 a))
0.6b	(cbrt.f64 g)

rewrite96.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`cbrt-prod_binary64`
38×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`
22×	`associate-l_binary64`

Counts

4 → 105

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
8.0ms	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
2.0ms	(cbrt.f64 (/.f64 -1 a))
1.0ms	(cbrt.f64 g)

Compiler

Compiled 1634 to 1193 computations (27% saved)

series132.0ms (4.5%)

Error

0.1b

Counts

4 → 15

Calls

4 calls:

72.0ms	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
29.0ms	(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
14.0ms	(cbrt.f64 (/.f64 -1 a))
13.0ms	(cbrt.f64 g)

Compiler

Compiled 635 to 551 computations (13.2% saved)

simplify101.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

802×	`fma-def_binary64`
334×	`*-commutative_binary64`
292×	`unswap-sqr_binary64`
237×	`times-frac_binary64`
236×	`associate-/r*_binary64`

Counts

120 → 72

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	181	1660
1	329	1649
2	859	1605
3	1728	1517
4	4532	1517
5	5103	1517

prune40.0ms (1.4%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	1	8	9
Picked	1	0	1
Done	0	2	2
Total	69	15	84

Error

0.0b

Counts

84 → 15

Alt Table

Status	Error	Program
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
	30.4b	(.f64 (cbrt.f64 (sqrt.f64 g)) (.f64 (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)) (cbrt.f64 (sqrt.f64 g))))
	1.6b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
	13.7b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
	1.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 (/.f64 -1 a)))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (cbrt.f64 (/.f64 -1 a))))))
	13.3b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.6b	(.f64 (cbrt.f64 g) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 a))) (cbrt.f64 (cbrt.f64 (/.f64 -1 a)))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (cbrt.f64 (/.f64 -1 a))))))
	13.5b	(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2))) 3))
	1.2b	(.f64 (cbrt.f64 g) (.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 (cbrt.f64 -1) (cbrt.f64 a)))) (cbrt.f64 -1/2)))
	1.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (.f64 (cbrt.f64 a) (cbrt.f64 a)))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (/.f64 -1 (cbrt.f64 a))))))
	13.7b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 a 2))) (cbrt.f64 (/.f64 g (.f64 a 2))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a))))
	13.2b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2)))

Compiler

Compiled 1039 to 740 computations (28.8% saved)

regimes914.0ms (31.2%)

Accuracy

Total 0.8b remaining (92.1%)

Threshold costs 0.8b (92.1%)

Compiler

Compiled 13795 to 10622 computations (23% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	9	11
2	9	11

end0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

sample852.0ms (29.1%)

Algorithm

1×

intervals

Results

265.0ms

8000×

body

128

valid

Compiler

Compiled 265 to 206 computations (22.3% saved)

Details

analyze48.0ms (1.6%)

sample17.0ms (0.6%)

simplify9.0ms (0.3%)

prune1.0ms (0%)

localize4.0ms (0.1%)

rewrite19.0ms (0.6%)

series41.0ms (1.4%)

simplify68.0ms (2.3%)

prune20.0ms (0.7%)

localize6.0ms (0.2%)

rewrite58.0ms (2%)

series81.0ms (2.8%)

simplify126.0ms (4.3%)

prune26.0ms (0.9%)

localize8.0ms (0.3%)

rewrite67.0ms (2.3%)

series68.0ms (2.3%)

simplify88.0ms (3%)

prune29.0ms (1%)

localize8.0ms (0.3%)

rewrite96.0ms (3.3%)

series132.0ms (4.5%)

simplify101.0ms (3.5%)

prune40.0ms (1.4%)

regimes914.0ms (31.2%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample852.0ms (29.1%)

Profiling