Details

analyze398.0ms

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
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

sample20.0ms

Algorithm

intervals

Results

8.0ms	240×	body	80	valid
1.0ms	23×	body	80	invalid
1.0ms	6×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	160	valid

simplify252.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (249.0ms)

Iter	Nodes	Cost
0	4926	13
1	4926	13

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: 0.4b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 2.0 3.0) z)
0.0b	(*.f64 (-.f64 y x) 6.0)
0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z)))
0.4b	(.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*l/_binary64`
9×	`associate-r_binary64`
8×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-l_binary64`
5×	`sub-neg_binary64` `difference-of-squares_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64`
3×	`distribute-lft-out--_binary64`
2×	`associate-r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `times-frac_binary64` `associate-+r+_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `diff-log_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 80

Calls

4 calls:

8.0ms	(-.f64 (/.f64 2.0 3.0) z)
7.0ms	(*.f64 (-.f64 y x) 6.0)
5.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z)))
16.0ms	(.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))

series38.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(-.f64 (/.f64 2.0 3.0) z)
5.0ms	(*.f64 (-.f64 y x) 6.0)
15.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z)))
15.0ms	(.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))

simplify53.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4993	1087
1	4993	1087

prune120.0ms

Filtered

67 candidates to 92 candidates (-37.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	84	8	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 2.0 3.0) z)
0.0b	(+.f64 x (.f64 (-.f64 y x) (.f64 6.0 (-.f64 (/.f64 2.0 3.0) z))))
0.0b	(*.f64 6.0 (-.f64 (/.f64 2.0 3.0) z))
0.2b	(.f64 (-.f64 y x) (.f64 6.0 (-.f64 (/.f64 2.0 3.0) z)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
11×	`sub-neg_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`add-log-exp_binary64` `flip3--_binary64` `associate-l_binary64` `flip--_binary64`
7×	`associate-r_binary64` `add-cube-cbrt_binary64`
5×	`difference-of-squares_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `associate-+r+_binary64` `frac-times_binary64`
3×	`distribute-lft-out--_binary64`
2×	`times-frac_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `diff-log_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 86

Calls

4 calls:

8.0ms	(-.f64 (/.f64 2.0 3.0) z)
6.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6.0 (-.f64 (/.f64 2.0 3.0) z))))
10.0ms	(*.f64 6.0 (-.f64 (/.f64 2.0 3.0) z))
15.0ms	(.f64 (-.f64 y x) (.f64 6.0 (-.f64 (/.f64 2.0 3.0) z)))

series34.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(-.f64 (/.f64 2.0 3.0) z)
15.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6.0 (-.f64 (/.f64 2.0 3.0) z))))
5.0ms	(*.f64 6.0 (-.f64 (/.f64 2.0 3.0) z))
11.0ms	(.f64 (-.f64 y x) (.f64 6.0 (-.f64 (/.f64 2.0 3.0) z)))

simplify34.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5487	1214

prune114.0ms

Filtered

71 candidates to 98 candidates (-38.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	97	9	106

Merged error: 0.0b

Counts

106 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (/.f64 2.0 3.0)))
0.0b	(+.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (/.f64 2.0 3.0))) (.f64 (.f64 (-.f64 y x) 6.0) (neg.f64 z)))
0.3b	(.f64 (.f64 (-.f64 y x) 6.0) (neg.f64 z))
0.4b	(.f64 (.f64 (-.f64 y x) 6.0) (/.f64 2.0 3.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

23×	`associate-r_binary64`
21×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`associate-*l/_binary64`
14×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
11×	`add-log-exp_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64` `times-frac_binary64`
6×	`pow-prod-down_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`flip3-+_binary64` `frac-add_binary64` `flip-+_binary64` `sum-log_binary64`
3×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
2×	`distribute-rgt-neg-out_binary64` `cbrt-undiv_binary64` `associate-l_binary64` `div-exp_binary64` `+-commutative_binary64` `frac-times_binary64` `*-commutative_binary64`
1×	`associate-*r/_binary64` `associate-+l+_binary64` `neg-mul-1_binary64` `div-inv_binary64` `unsub-neg_binary64`

Counts

4 → 94

Calls

4 calls:

4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (/.f64 2.0 3.0)))
9.0ms	(+.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (/.f64 2.0 3.0))) (.f64 (.f64 (-.f64 y x) 6.0) (neg.f64 z)))
9.0ms	(.f64 (.f64 (-.f64 y x) 6.0) (neg.f64 z))
11.0ms	(.f64 (.f64 (-.f64 y x) 6.0) (/.f64 2.0 3.0))

series39.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (/.f64 2.0 3.0)))
16.0ms	(+.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (/.f64 2.0 3.0))) (.f64 (.f64 (-.f64 y x) 6.0) (neg.f64 z)))
12.0ms	(.f64 (.f64 (-.f64 y x) 6.0) (neg.f64 z))
5.0ms	(.f64 (.f64 (-.f64 y x) 6.0) (/.f64 2.0 3.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4974	1474
1	4974	1474

prune121.0ms

Filtered

75 candidates to 106 candidates (-41.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	105	10	115

Merged error: 0.0b

Counts

115 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z)))) (cbrt.f64 (+.f64 x (.f64 (*.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z)))))
0.6b	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))))
0.6b	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))))
0.6b	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z)))) (cbrt.f64 (+.f64 x (.f64 (*.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z)))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))))

series708.0ms

Counts

4 → 12

Calls

4 calls:

318.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z)))) (cbrt.f64 (+.f64 x (.f64 (*.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z)))))
133.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))))
130.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))))
126.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))))

simplify41.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5115	2901

prune200.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	98	11	109

Merged error: 0.0b

Counts

109 → 11

regimes409.0ms

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	33	13
1	33	13

end0.0ms

sample567.0ms

Algorithm

intervals

Results

271.0ms	7323×	body	80	valid
36.0ms	257×	body	640	valid
22.0ms	638×	body	80	invalid
22.0ms	130×	body	1280	valid
17.0ms	165×	body	320	valid
8.0ms	125×	body	160	valid

Details

analyze398.0ms

sample20.0ms

simplify252.0ms

prune3.0ms

localize10.0ms

rewrite38.0ms

series38.0ms

simplify53.0ms

prune120.0ms

localize11.0ms

rewrite41.0ms

series34.0ms

simplify34.0ms

prune114.0ms

localize11.0ms

rewrite36.0ms

series39.0ms

simplify51.0ms

prune121.0ms

localize17.0ms

rewrite21.0ms

series708.0ms

simplify41.0ms

prune200.0ms

regimes409.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample567.0ms

Profiling