Details

analyze298.0ms

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	12×	body	80	invalid

simplify27.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	548	9
1	548	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) z))
0.0b	(*.f64 (-.f64 y x) 6)
0.3b	(.f64 (.f64 (-.f64 y x) 6) z)

rewrite20.0ms

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) z))
7.0ms	(*.f64 (-.f64 y x) 6)
8.0ms	(.f64 (.f64 (-.f64 y x) 6) z)

series45.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
13.0ms	(*.f64 (-.f64 y x) 6)
14.0ms	(.f64 (.f64 (-.f64 y x) 6) z)

simplify51.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5340	519

prune82.0ms

Filtered

40 candidates to 62 candidates (-55.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	55	7	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	8	63

Merged error: 0.0b

Counts

63 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))
0.3b	(.f64 (-.f64 y x) (.f64 6 z))

rewrite13.0ms

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 z)))
8.0ms	(.f64 (-.f64 y x) (.f64 6 z))

series21.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))
9.0ms	(.f64 (-.f64 y x) (.f64 6 z))

simplify29.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5255	374

prune50.0ms

Filtered

24 candidates to 39 candidates (-62.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	38	9	47

Merged error: 0.0b

Counts

47 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z))
0.2b	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z)
0.6b	(*.f64 (-.f64 y x) (sqrt.f64 6))
0.6b	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6))

rewrite37.0ms

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)) (sqrt.f64 6)) z))
12.0ms	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z)
8.0ms	(*.f64 (-.f64 y x) (sqrt.f64 6))
10.0ms	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6))

series60.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z))
20.0ms	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z)
7.0ms	(*.f64 (-.f64 y x) (sqrt.f64 6))
11.0ms	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6))

simplify52.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4989	775
1	4989	775

prune81.0ms

Filtered

55 candidates to 95 candidates (-72.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	2	4	6
Picked	1	0	1
Done	0	2	2
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 (.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (*.f64 (cbrt.f64 (sqrt.f64 6)) (cbrt.f64 (sqrt.f64 6)))) (cbrt.f64 (sqrt.f64 6))) z)
0.3b	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (*.f64 (cbrt.f64 (sqrt.f64 6)) (cbrt.f64 (sqrt.f64 6))))
0.3b	(.f64 (.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (.f64 (cbrt.f64 (sqrt.f64 6)) (cbrt.f64 (sqrt.f64 6)))) (cbrt.f64 (sqrt.f64 6)))
0.6b	(*.f64 (-.f64 y x) (sqrt.f64 6))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

21.0ms	(.f64 (.f64 (.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (*.f64 (cbrt.f64 (sqrt.f64 6)) (cbrt.f64 (sqrt.f64 6)))) (cbrt.f64 (sqrt.f64 6))) z)
14.0ms	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (*.f64 (cbrt.f64 (sqrt.f64 6)) (cbrt.f64 (sqrt.f64 6))))
19.0ms	(.f64 (.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (.f64 (cbrt.f64 (sqrt.f64 6)) (cbrt.f64 (sqrt.f64 6)))) (cbrt.f64 (sqrt.f64 6)))
11.0ms	(*.f64 (-.f64 y x) (sqrt.f64 6))

series75.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(.f64 (.f64 (.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (*.f64 (cbrt.f64 (sqrt.f64 6)) (cbrt.f64 (sqrt.f64 6)))) (cbrt.f64 (sqrt.f64 6))) z)
38.0ms	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (*.f64 (cbrt.f64 (sqrt.f64 6)) (cbrt.f64 (sqrt.f64 6))))
11.0ms	(.f64 (.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (.f64 (cbrt.f64 (sqrt.f64 6)) (cbrt.f64 (sqrt.f64 6)))) (cbrt.f64 (sqrt.f64 6)))
7.0ms	(*.f64 (-.f64 y x) (sqrt.f64 6))

simplify69.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4930	1058
1	4930	1058

prune87.0ms

Filtered

64 candidates to 129 candidates (-101.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	129	7	136

Merged error: 0.0b

Counts

136 → 7

regimes235.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample426.0ms

Algorithm

intervals

Results

233.0ms	8000×	body	80	valid
16.0ms	581×	body	80	invalid

Details

analyze298.0ms

sample16.0ms

simplify27.0ms

prune3.0ms

localize6.0ms

rewrite20.0ms

series45.0ms

simplify51.0ms

prune82.0ms

localize6.0ms

rewrite13.0ms

series21.0ms

simplify29.0ms

prune50.0ms

localize8.0ms

rewrite37.0ms

series60.0ms

simplify52.0ms

prune81.0ms

localize11.0ms

rewrite69.0ms

series75.0ms

simplify69.0ms

prune87.0ms

regimes235.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample426.0ms

Profiling