Details

analyze51.0ms (2%)

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)

sample22.0ms (0.8%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify11.0ms (0.4%)

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 (0.1%)

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

17.5b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	17.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

17.0b

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

rewrite21.0ms (0.8%)

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 → 16

Calls

1 calls:

5.0ms

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

Compiler

Compiled 196 to 140 computations (28.6% saved)

series47.0ms (1.8%)

Error

6.1b

Counts

1 → 6

Calls

1 calls:

42.0ms

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

Compiler

Compiled 253 to 217 computations (14.2% saved)

simplify68.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

787×	`div-sub_binary64`
390×	`times-frac_binary64`
349×	`associate-/l*_binary64`
300×	`unswap-sqr_binary64`
246×	`exp-sum_binary64`

Counts

22 → 18

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	72	333
1	115	333
2	172	327
3	405	293
4	875	281
5	2044	281
6	4374	281
7	4967	281

prune21.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	11	7	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	8	19

Error

0.2b

Counts

19 → 8

Alt Table

Status	Error	Program
	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
✓	17.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	17.7b	(.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)))))
	18.0b	(.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)))))
	42.1b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 a 2)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))))
	42.0b	(.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	17.4b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))

Compiler

Compiled 376 to 280 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)
0.6b	(cbrt.f64 (*.f64 a 2))

rewrite55.0ms (2.1%)

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 → 66

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 925 to 548 computations (40.8% saved)

series82.0ms (3.2%)

Error

0.2b

Counts

3 → 12

Calls

3 calls:

49.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
16.0ms	(cbrt.f64 (*.f64 a 2))
13.0ms	(cbrt.f64 g)

Compiler

Compiled 443 to 374 computations (15.6% saved)

simplify101.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

639×	`associate-/r*_binary64`
464×	`associate-l_binary64`
372×	`associate-/r/_binary64`
357×	`associate-*l/_binary64`
341×	`exp-sum_binary64`

Counts

78 → 39

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	126	1280
1	216	1214
2	496	1180
3	1489	1141
4	4130	1137
5	4992	1137
6	4955	1137

prune31.0ms (1.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	33	6	39
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	34	13	47

Error

0.1b

Counts

47 → 13

Alt Table

Status	Error	Program
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.4b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
✓	17.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	17.7b	(.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)))))
	18.0b	(.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)))))
	17.7b	(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2))) 3))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	17.9b	(*.f64 (cbrt.f64 (/.f64 (neg.f64 g) a)) (/.f64 (cbrt.f64 -1) (cbrt.f64 2)))
	42.1b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 a 2)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))))
	31.6b	(.f64 (/.f64 1 (sqrt.f64 (cbrt.f64 (.f64 a 2)))) (/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (*.f64 a 2)))))
	33.4b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2)))
	17.4b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))

Compiler

Compiled 717 to 517 computations (27.9% saved)

localize16.0ms (0.6%)

Local error

Found 3 expressions with local error:

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))

rewrite67.0ms (2.6%)

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 → 74

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)

Compiler

Compiled 1002 to 629 computations (37.2% saved)

series76.0ms (3%)

Error

0.1b

Counts

3 → 12

Calls

3 calls:

42.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
16.0ms	(cbrt.f64 (/.f64 1/2 a))
13.0ms	(cbrt.f64 g)

Compiler

Compiled 453 to 384 computations (15.2% saved)

simplify82.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

513×	`exp-sum_binary64`
480×	`*-commutative_binary64`
371×	`associate-l_binary64`
306×	`associate-r_binary64`
260×	`associate-/r*_binary64`

Counts

86 → 45

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	144	1167
1	254	1163
2	645	1149
3	1613	1115
4	3701	1087
5	4887	1087

prune37.0ms (1.4%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	38	7	45
Fresh	3	7	10
Picked	0	1	1
Done	0	2	2
Total	41	17	58

Error

0.0b

Counts

58 → 17

Alt Table

Status	Error	Program
	42.1b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 a 2)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))))
	1.5b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (cbrt.f64 g))))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.4b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
✓	17.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	17.9b	(*.f64 (cbrt.f64 (/.f64 (neg.f64 g) a)) (/.f64 (cbrt.f64 -1) (cbrt.f64 2)))
	17.4b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
▶	0.8b	(.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 (/.f64 1 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)))
	1.2b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (cbrt.f64 g))))
	0.8b	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a))))
	33.4b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))
	17.7b	(.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)))))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2)))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))

Compiler

Compiled 806 to 579 computations (28.2% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 (/.f64 1 a)))
0.5b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
0.6b	(cbrt.f64 g)
0.6b	(cbrt.f64 (/.f64 1 a))

rewrite108.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

39×	`cbrt-prod_binary64`
32×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`
22×	`associate-r_binary64`

Counts

4 → 94

Calls

4 calls:

17.0ms	(.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 (/.f64 1 a)))
9.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
4.0ms	(cbrt.f64 (/.f64 1 a))
1.0ms	(cbrt.f64 g)

Compiler

Compiled 1443 to 1027 computations (28.8% saved)

series91.0ms (3.5%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

43.0ms	(.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 (/.f64 1 a)))
18.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
13.0ms	(cbrt.f64 (/.f64 1 a))
12.0ms	(cbrt.f64 g)

Compiler

Compiled 599 to 516 computations (13.9% saved)

simplify92.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

337×	`associate-+l+_binary64`
326×	`*-commutative_binary64`
276×	`log-prod_binary64`
204×	`unswap-sqr_binary64`
203×	`associate-/l*_binary64`

Counts

109 → 88

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	1347
1	269	1313
2	847	1283
3	1587	1164
4	4717	1164
5	5057	1164

prune51.0ms (2%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	2	11	13
Picked	1	0	1
Done	0	3	3
Total	88	17	105

Error

0.0b

Counts

105 → 17

Alt Table

Status	Error	Program
	1.4b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
	1.1b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (/.f64 1 a)))
	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	17.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	17.7b	(.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)))))
	33.5b	(.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 1/2))) (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (/.f64 1 a)))
	17.9b	(*.f64 (cbrt.f64 (/.f64 (neg.f64 g) a)) (/.f64 (cbrt.f64 -1) (cbrt.f64 2)))
	0.8b	(.f64 (cbrt.f64 (.f64 g 1/2)) (cbrt.f64 (/.f64 1 a)))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	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)))
	1.2b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (cbrt.f64 g))))
	42.1b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 a 2)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))))
	0.8b	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
	33.4b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2)))
	17.4b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))

Compiler

Compiled 1120 to 814 computations (27.3% saved)

regimes710.0ms (27.6%)

Accuracy

Total 0.8b remaining (95.7%)

Threshold costs 0.8b (95.7%)

Compiler

Compiled 9925 to 7577 computations (23.7% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`/-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	13	11
2	12	11

end0.0ms (0%)

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

sample706.0ms (27.4%)

Algorithm

1×

intervals

Results

271.0ms

8000×

body

128

valid

Compiler

Compiled 260 to 200 computations (23.1% saved)

Details

analyze51.0ms (2%)

sample22.0ms (0.8%)

simplify11.0ms (0.4%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

rewrite21.0ms (0.8%)

series47.0ms (1.8%)

simplify68.0ms (2.7%)

prune21.0ms (0.8%)

localize6.0ms (0.2%)

rewrite55.0ms (2.1%)

series82.0ms (3.2%)

simplify101.0ms (3.9%)

prune31.0ms (1.2%)

localize16.0ms (0.6%)

rewrite67.0ms (2.6%)

series76.0ms (3%)

simplify82.0ms (3.2%)

prune37.0ms (1.4%)

localize10.0ms (0.4%)

rewrite108.0ms (4.2%)

series91.0ms (3.5%)

simplify92.0ms (3.6%)

prune51.0ms (2%)

regimes710.0ms (27.6%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample706.0ms (27.4%)

Profiling