Details

analyze294.0ms (15.2%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
43.3%	48%	8.7%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	23.7%	15%	13
65%	19.8%	15.3%	14

sample16.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	17×	body	80	invalid

simplify28.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	565	9
1	565	9

prune6.0ms (0.3%)

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

Merged error: 0.1b

Counts

2 → 1

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) z))
0.0b	(*.f64 (-.f64 y x) 6.0)
0.2b	(.f64 (.f64 (-.f64 y x) 6.0) z)

rewrite20.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
6×	`associate-r_binary64` `add-cube-cbrt_binary64` `associate-l_binary64` `associate-*l/_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 53

Calls

3 calls:

8.0ms	(.f64 (.f64 (-.f64 y x) 6.0) z)
7.0ms	(*.f64 (-.f64 y x) 6.0)
4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) z))

series32.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

16.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) z))
11.0ms	(.f64 (.f64 (-.f64 y x) 6.0) z)
6.0ms	(*.f64 (-.f64 y x) 6.0)

simplify30.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5384	521

prune84.0ms (4.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	6	63

Merged error: 0.0b

Counts

63 → 6

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (-.f64 y x) (.f64 6.0 z)))
0.2b	(.f64 (-.f64 y x) (.f64 6.0 z))

rewrite15.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`-un-lft-identity_binary64` `associate-l*_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
2×	`associate-*l/_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `associate-r_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

10.0ms	(.f64 (-.f64 y x) (.f64 6.0 z))
4.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6.0 z)))

series24.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6.0 z)))
11.0ms	(.f64 (-.f64 y x) (.f64 6.0 z))

simplify32.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5378	376

prune55.0ms (2.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	39	6	45

Merged error: 0.0b

Counts

45 → 6

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6.0)) (sqrt.f64 6.0)) z))
0.2b	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6.0)) (sqrt.f64 6.0)) z)
0.6b	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6.0)) (sqrt.f64 6.0))
0.6b	(*.f64 (-.f64 y x) (sqrt.f64 6.0))

rewrite38.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`associate-r_binary64`
12×	`-un-lft-identity_binary64` `associate-l/_binary64`
10×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
7×	`associate-l_binary64` `sqrt-prod_binary64`
6×	`add-log-exp_binary64`
3×	`flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64`
1×	`flip3-+_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 83

Calls

4 calls:

12.0ms	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6.0)) (sqrt.f64 6.0)) z)
10.0ms	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6.0)) (sqrt.f64 6.0))
8.0ms	(*.f64 (-.f64 y x) (sqrt.f64 6.0))
4.0ms	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6.0)) (sqrt.f64 6.0)) z))

series76.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6.0)) (sqrt.f64 6.0)) z))
24.0ms	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6.0)) (sqrt.f64 6.0)) z)
16.0ms	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6.0)) (sqrt.f64 6.0))
9.0ms	(*.f64 (-.f64 y x) (sqrt.f64 6.0))

simplify54.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5045	777

prune113.0ms (5.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	95	6	101

Merged error: 0.0b

Counts

101 → 6

localize14.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (sqrt.f64 6.0)) (cbrt.f64 (sqrt.f64 6.0))))
0.2b	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 (sqrt.f64 6.0)) (cbrt.f64 (sqrt.f64 6.0)))) (cbrt.f64 (sqrt.f64 6.0)))
0.2b	(.f64 (.f64 (.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 (sqrt.f64 6.0)) (cbrt.f64 (sqrt.f64 6.0)))) (cbrt.f64 (sqrt.f64 6.0))) (sqrt.f64 6.0)) z)
0.6b	(.f64 (.f64 (.f64 (-.f64 y x) (.f64 (cbrt.f64 (sqrt.f64 6.0)) (cbrt.f64 (sqrt.f64 6.0)))) (cbrt.f64 (sqrt.f64 6.0))) (sqrt.f64 6.0))

rewrite70.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`pow1_binary64` `add-exp-log_binary64`
35×	`add-cbrt-cube_binary64`
34×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
20×	`associate-*l/_binary64`
19×	`associate-r_binary64`
14×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
8×	`associate-l_binary64`
6×	`sqrt-prod_binary64` `cbrt-prod_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 110

Calls

4 calls:

21.0ms	(.f64 (.f64 (.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 (sqrt.f64 6.0)) (cbrt.f64 (sqrt.f64 6.0)))) (cbrt.f64 (sqrt.f64 6.0))) (sqrt.f64 6.0)) z)
18.0ms	(.f64 (.f64 (.f64 (-.f64 y x) (.f64 (cbrt.f64 (sqrt.f64 6.0)) (cbrt.f64 (sqrt.f64 6.0)))) (cbrt.f64 (sqrt.f64 6.0))) (sqrt.f64 6.0))
15.0ms	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 (sqrt.f64 6.0)) (cbrt.f64 (sqrt.f64 6.0)))) (cbrt.f64 (sqrt.f64 6.0)))
12.0ms	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (sqrt.f64 6.0)) (cbrt.f64 (sqrt.f64 6.0))))

series85.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

34.0ms	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (sqrt.f64 6.0)) (cbrt.f64 (sqrt.f64 6.0))))
27.0ms	(.f64 (.f64 (.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 (sqrt.f64 6.0)) (cbrt.f64 (sqrt.f64 6.0)))) (cbrt.f64 (sqrt.f64 6.0))) (sqrt.f64 6.0)) z)
14.0ms	(.f64 (.f64 (.f64 (-.f64 y x) (.f64 (cbrt.f64 (sqrt.f64 6.0)) (cbrt.f64 (sqrt.f64 6.0)))) (cbrt.f64 (sqrt.f64 6.0))) (sqrt.f64 6.0))
9.0ms	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 (sqrt.f64 6.0)) (cbrt.f64 (sqrt.f64 6.0)))) (cbrt.f64 (sqrt.f64 6.0)))

simplify56.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4911	903
1	4911	903

prune136.0ms (7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	122	6	128

Merged error: 0.0b

Counts

128 → 6

regimes211.0ms (10.9%)

Accuracy

Total 0.2b remaining (88%)

Threshold costs 0.2b (88%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms (0%)

sample423.0ms (21.9%)

Algorithm

1×

intervals

Results

233.0ms	8000×	body	80	valid
16.0ms	585×	body	80	invalid

Details

analyze294.0ms (15.2%)

sample16.0ms (0.8%)

simplify28.0ms (1.5%)

prune6.0ms (0.3%)

localize6.0ms (0.3%)

rewrite20.0ms (1%)

series32.0ms (1.7%)

simplify30.0ms (1.6%)

prune84.0ms (4.3%)

localize6.0ms (0.3%)

rewrite15.0ms (0.8%)

series24.0ms (1.2%)

simplify32.0ms (1.6%)

prune55.0ms (2.8%)

localize10.0ms (0.5%)

rewrite38.0ms (2%)

series76.0ms (3.9%)

simplify54.0ms (2.8%)

prune113.0ms (5.8%)

localize14.0ms (0.7%)

rewrite70.0ms (3.6%)

series85.0ms (4.4%)

simplify56.0ms (2.9%)

prune136.0ms (7%)

regimes211.0ms (10.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample423.0ms (21.9%)

Profiling