Details

analyze45.0ms (1.4%)

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 (0.7%)

Algorithm

1×

intervals

Results

13.0ms

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

prune2.0ms (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

13.2b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	13.2b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

12.9b

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

rewrite23.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

7×	`cbrt-prod_binary64`
3×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64` `*-un-lft-identity_binary64`
1×	`pow1/3_binary64` `pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cbrt-div_binary64` `div-inv_binary64`

Counts

1 → 16

Calls

1 calls:

3.0ms

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

Compiler

Compiled 196 to 140 computations (28.6% saved)

series59.0ms (1.8%)

Error

4.7b

Counts

1 → 6

Calls

1 calls:

53.0ms

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

Compiler

Compiled 253 to 217 computations (14.2% saved)

simplify120.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

624×	`exp-sum_binary64`
526×	`div-exp_binary64`
462×	`unsub-neg_binary64`
389×	`exp-diff_binary64`
384×	`times-frac_binary64` `sub-neg_binary64`

Counts

22 → 18

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	72	335
1	115	335
2	174	329
3	468	295
4	1440	283
5	3345	281
6	4128	281
7	4090	281
8	4867	281
9	5364	281

prune26.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	12	6	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	7	19

Error

0.2b

Counts

19 → 7

Alt Table

Status	Error	Program
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	13.9b	(.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)))))
	37.6b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 a 2)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))))
	13.6b	(.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)))))
	13.2b	(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
✓	13.2b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 349 to 257 computations (26.4% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite96.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

39×	`cbrt-prod_binary64`
35×	`add-sqr-sqrt_binary64`
21×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
20×	`times-frac_binary64`
16×	`associate-r_binary64`

Counts

3 → 74

Calls

3 calls:

11.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
3.0ms	(cbrt.f64 (/.f64 1/2 a))
1.0ms	(cbrt.f64 g)

Compiler

Compiled 1002 to 629 computations (37.2% saved)

series94.0ms (2.9%)

Error

0.2b

Counts

3 → 12

Calls

3 calls:

53.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
19.0ms	(cbrt.f64 (/.f64 1/2 a))
16.0ms	(cbrt.f64 g)

Compiler

Compiled 453 to 384 computations (15.2% saved)

simplify99.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

390×	`exp-diff_binary64`
376×	`associate-l_binary64`
314×	`associate-r_binary64`
260×	`associate-/r*_binary64`
243×	`associate-+l+_binary64`

Counts

86 → 33

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	145	1183
1	256	1179
2	659	1156
3	1706	1122
4	4572	1112
5	5202	1112

prune34.0ms (1.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	30	10	40

Error

0.1b

Counts

40 → 10

Alt Table

Status	Error	Program
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	13.9b	(.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)))))
	13.6b	(.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)))))
	13.2b	(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	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))))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
	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)))
✓	13.2b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 570 to 431 computations (24.4% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite73.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`cbrt-prod_binary64`
24×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
6×	`associate-/l*_binary64`
5×	`add-exp-log_binary64`

Counts

3 → 66

Calls

3 calls:

4.0ms	(/.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)

series103.0ms (3.2%)

Error

0.1b

Counts

3 → 12

Calls

3 calls:

57.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
21.0ms	(cbrt.f64 (*.f64 a 2))
16.0ms	(cbrt.f64 g)

Compiler

Compiled 443 to 374 computations (15.6% saved)

simplify100.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

656×	`associate-/r*_binary64`
478×	`exp-sum_binary64`
373×	`associate-/r/_binary64`
358×	`associate-*l/_binary64`
227×	`associate-*r/_binary64`

Counts

78 → 35

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	130	1290
1	222	1224
2	510	1190
3	1583	1153
4	4172	1149
5	4909	1149

prune41.0ms (1.3%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	31	14	45

Error

0.0b

Counts

45 → 14

Alt Table

Status	Error	Program
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	13.9b	(.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)))))
	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))))
	13.6b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2)))
	13.6b	(.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)))))
	13.2b	(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))
	29.7b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	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))))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
▶	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)))
✓	13.2b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 689 to 502 computations (27.1% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

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))

rewrite133.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

51×	`cbrt-prod_binary64`
34×	`add-sqr-sqrt_binary64`
26×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
18×	`times-frac_binary64`
11×	`pow1_binary64`

Counts

4 → 91

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
4.0ms	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
3.0ms	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
1.0ms	(cbrt.f64 g)

Compiler

Compiled 1818 to 1484 computations (18.4% saved)

series50.0ms (1.5%)

Error

0.0b

Counts

4 → 6

Calls

4 calls:

25.0ms	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
18.0ms	(cbrt.f64 g)
0.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
0.0ms	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))

Compiler

Compiled 361 to 325 computations (10% saved)

simplify150.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

594×	`div-exp_binary64`
490×	`log-prod_binary64`
475×	`associate-/l*_binary64`
368×	`times-frac_binary64`
346×	`exp-sum_binary64`

Counts

97 → 65

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	154	1299
1	228	1275
2	513	1263
3	1258	1213
4	3683	1097
5	4044	1029
6	4456	1029
7	5652	1029

prune61.0ms (1.9%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	1	9	10
Picked	1	0	1
Done	0	3	3
Total	64	15	79

Error

0.0b

Counts

79 → 15

Alt Table

Status	Error	Program
	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	13.9b	(.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)))))
	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))))
	13.6b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2)))
	13.6b	(.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)))))
	29.7b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	1.2b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (cbrt.f64 (sqrt.f64 1/2)) 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))))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 1/2)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 (cbrt.f64 1/2)) a))))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
	13.2b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (sqrt.f64 (cbrt.f64 1/2)) (pow.f64 (sqrt.f64 (cbrt.f64 1/2)) 3)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))

Compiler

Compiled 961 to 791 computations (17.7% saved)

regimes1.1s (33.3%)

Accuracy

Total 0.8b remaining (93.9%)

Threshold costs 0.8b (93.9%)

Compiler

Compiled 12749 to 10078 computations (21% 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

end1.0ms (0%)

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

sample777.0ms (24.1%)

Algorithm

1×

intervals

Results

231.0ms

8000×

body

128

valid

Compiler

Compiled 259 to 208 computations (19.7% saved)

Details

analyze45.0ms (1.4%)

sample22.0ms (0.7%)

simplify9.0ms (0.3%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite23.0ms (0.7%)

series59.0ms (1.8%)

simplify120.0ms (3.7%)

prune26.0ms (0.8%)

localize6.0ms (0.2%)

rewrite96.0ms (3%)

series94.0ms (2.9%)

simplify99.0ms (3.1%)

prune34.0ms (1.1%)

localize9.0ms (0.3%)

rewrite73.0ms (2.3%)

series103.0ms (3.2%)

simplify100.0ms (3.1%)

prune41.0ms (1.3%)

localize12.0ms (0.4%)

rewrite133.0ms (4.1%)

series50.0ms (1.5%)

simplify150.0ms (4.7%)

prune61.0ms (1.9%)

regimes1.1s (33.3%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample777.0ms (24.1%)

Profiling