Details

analyze293.0ms

Algorithm

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

Algorithm

intervals

Results

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

simplify30.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	565	9
1	565	9

prune3.0ms

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

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)

rewrite21.0ms

Algorithm

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:

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

series26.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) z))
5.0ms	(*.f64 (-.f64 y x) 6.0)
10.0ms	(.f64 (.f64 (-.f64 y x) 6.0) z)

simplify36.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5384	521

prune69.0ms

Filtered

40 candidates to 62 candidates (-55.0%)

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

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))

rewrite14.0ms

Algorithm

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:

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

series21.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6.0 z)))
10.0ms	(.f64 (-.f64 y x) (.f64 6.0 z))

simplify32.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5378	376

prune41.0ms

Filtered

24 candidates to 39 candidates (-62.5%)

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

localize9.0ms

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))

rewrite41.0ms

Algorithm

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:

4.0ms	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6.0)) (sqrt.f64 6.0)) z))
15.0ms	(.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))

series64.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6.0)) (sqrt.f64 6.0)) z))
21.0ms	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6.0)) (sqrt.f64 6.0)) z)
12.0ms	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6.0)) (sqrt.f64 6.0))
8.0ms	(*.f64 (-.f64 y x) (sqrt.f64 6.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5045	777

prune78.0ms

Filtered

55 candidates to 95 candidates (-72.7%)

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

localize11.0ms

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))

rewrite78.0ms

Algorithm

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:

13.0ms	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (sqrt.f64 6.0)) (cbrt.f64 (sqrt.f64 6.0))))
16.0ms	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 (sqrt.f64 6.0)) (cbrt.f64 (sqrt.f64 6.0)))) (cbrt.f64 (sqrt.f64 6.0)))
25.0ms	(.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)
20.0ms	(.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))

series77.0ms

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))))
8.0ms	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 (sqrt.f64 6.0)) (cbrt.f64 (sqrt.f64 6.0)))) (cbrt.f64 (sqrt.f64 6.0)))
22.0ms	(.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)
13.0ms	(.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))

simplify62.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4911	903
1	4911	903

prune82.0ms

Filtered

65 candidates to 122 candidates (-87.7%)

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

regimes214.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample410.0ms

Algorithm

intervals

Results

221.0ms	8000×	body	80	valid
19.0ms	585×	body	80	invalid

Details

analyze293.0ms

sample16.0ms

simplify30.0ms

prune3.0ms

localize6.0ms

rewrite21.0ms

series26.0ms

simplify36.0ms

prune69.0ms

localize6.0ms

rewrite14.0ms

series21.0ms

simplify32.0ms

prune41.0ms

localize9.0ms

rewrite41.0ms

series64.0ms

simplify54.0ms

prune78.0ms

localize11.0ms

rewrite78.0ms

series77.0ms

simplify62.0ms

prune82.0ms

regimes214.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample410.0ms

Profiling