Details

analyze653.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
23.4%	74.9%	1.8%	11
27.3%	69%	3.7%	12
36.6%	56.5%	6.8%	13
40.5%	52%	7.4%	14

sample21.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	56×	body	80	invalid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	437	7
1	437	7

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b	(-.f64 (.f64 x y) (.f64 z y))
5.0b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
3×	`associate-r_binary64`
2×	`flip3--_binary64` `distribute-rgt-out--_binary64` `flip--_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

5.0ms	(-.f64 (.f64 x y) (.f64 z y))
7.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

series27.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(-.f64 (.f64 x y) (.f64 z y))
18.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

simplify49.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5098	319

prune59.0ms

Filtered

29 candidates to 39 candidates (-34.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	33	6	39
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	33	8	41

Merged error: 0.0b

Counts

41 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))) (.f64 t (cbrt.f64 (.f64 y (-.f64 x z)))))
6.9b	(cbrt.f64 (*.f64 y (-.f64 x z)))
6.9b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
6.9b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div_binary64`
46×	`associate-*r/_binary64`
30×	`flip3--_binary64` `flip--_binary64`
28×	`frac-times_binary64`
16×	`pow1_binary64` `add-exp-log_binary64`
14×	`associate-*l/_binary64`
10×	`add-cbrt-cube_binary64`
9×	`cbrt-prod_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
2×	`distribute-rgt-out--_binary64`
1×	`associate-r_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

17.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))) (.f64 t (cbrt.f64 (.f64 y (-.f64 x z)))))
5.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

series194.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))) (.f64 t (cbrt.f64 (.f64 y (-.f64 x z)))))
34.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
31.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
34.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5033	1929

prune115.0ms

Filtered

79 candidates to 99 candidates (-25.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	97	10	107

Merged error: 0.0b

Counts

107 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
1.0b	(.f64 (.f64 y (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (-.f64 x z))) (cbrt.f64 t))
4.5b	(.f64 y (.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (-.f64 x z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1_binary64` `add-exp-log_binary64`
19×	`add-cbrt-cube_binary64`
16×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
8×	`associate-*r/_binary64`
7×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64`
2×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
16.0ms	(.f64 (.f64 y (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (-.f64 x z))) (cbrt.f64 t))
12.0ms	(.f64 y (.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (-.f64 x z)))

series117.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt.f64 t)
17.0ms	(cbrt.f64 t)
17.0ms	(.f64 (.f64 y (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (-.f64 x z))) (cbrt.f64 t))
66.0ms	(.f64 y (.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (-.f64 x z)))

simplify72.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4949	704
1	4949	704

prune86.0ms

Filtered

59 candidates to 90 candidates (-52.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	3	4	7
Picked	1	0	1
Done	0	2	2
Total	92	8	100

Merged error: 0.0b

Counts

100 → 8

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 t))
0.6b	(cbrt.f64 (cbrt.f64 t))
1.0b	(.f64 (.f64 y (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (-.f64 x z))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t))) (cbrt.f64 (cbrt.f64 t))))
4.5b	(.f64 y (.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (-.f64 x z)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

67×	`pow1_binary64` `add-exp-log_binary64`
48×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
43×	`add-cbrt-cube_binary64`
18×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`associate-*r/_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64`
2×	`flip3--_binary64` `associate-r_binary64` `pow1/3_binary64` `flip--_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 103

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 t))
2.0ms	(cbrt.f64 (cbrt.f64 t))
26.0ms	(.f64 (.f64 y (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (-.f64 x z))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t))) (cbrt.f64 (cbrt.f64 t))))
13.0ms	(.f64 y (.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (-.f64 x z)))

series125.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt.f64 (cbrt.f64 t))
21.0ms	(cbrt.f64 (cbrt.f64 t))
17.0ms	(.f64 (.f64 y (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (-.f64 x z))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t))) (cbrt.f64 (cbrt.f64 t))))
63.0ms	(.f64 y (.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (-.f64 x z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4916	940
1	4916	940

prune61.0ms

Filtered

60 candidates to 115 candidates (-91.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	113	10	123

Merged error: 0.0b

Counts

123 → 10

regimes626.0ms

Accuracy

77.3% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 6.8b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	37
1	53	37

end0.0ms

sample582.0ms

Algorithm

intervals

Results

257.0ms	8000×	body	80	valid
65.0ms	1949×	body	80	invalid

Details

analyze653.0ms

sample21.0ms

simplify23.0ms

prune12.0ms

localize7.0ms

rewrite13.0ms

series27.0ms

simplify49.0ms

prune59.0ms

localize14.0ms

rewrite35.0ms

series194.0ms

simplify57.0ms

prune115.0ms

localize12.0ms

rewrite33.0ms

series117.0ms

simplify72.0ms

prune86.0ms

localize26.0ms

rewrite46.0ms

series125.0ms

simplify56.0ms

prune61.0ms

regimes626.0ms

bsearch1.0ms

simplify3.0ms

end0.0ms

sample582.0ms

Profiling