Details

analyze988.0ms

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
0%	99.8%	0.2%	9
3.5%	96.2%	0.2%	10
9.8%	89.9%	0.2%	11
14.1%	85.7%	0.2%	12
22.6%	77.1%	0.2%	13
23.7%	76%	0.2%	14

sample27.0ms

Algorithm

intervals

Results

8.0ms	216×	body	80	valid
2.0ms	16×	body	640	valid
1.0ms	10×	body	320	valid
1.0ms	6×	body	1280	valid
1.0ms	25×	body	80	invalid
1.0ms	8×	body	160	valid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4893	13
1	4893	13

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 14.7b

Counts

2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

1.9b	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
10.5b	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
7×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64` `times-frac_binary64`
4×	`add-cube-cbrt_binary64` `distribute-lft-out--_binary64`
3×	`flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-exp_binary64` `frac-sub_binary64` `associate-*l/_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

2 → 47

Calls

2 calls:

20.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
16.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

series97.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
30.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

simplify66.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5569	698

prune87.0ms

Filtered

40 candidates to 53 candidates (-32.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	42	11	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	11	54

Merged error: 4.1b

Counts

54 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 a t))
0.6b	(cbrt.f64 (-.f64 a t))
3.4b	(.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t))))
6.0b	(-.f64 (+.f64 x y) (.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t)))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt_binary64`
36×	`times-frac_binary64`
35×	`*-un-lft-identity_binary64`
30×	`associate-r_binary64`
27×	`cbrt-prod_binary64`
25×	`add-exp-log_binary64`
23×	`add-cube-cbrt_binary64`
18×	`cbrt-div_binary64` `add-cbrt-cube_binary64`
17×	`associate-l_binary64`
10×	`flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
9×	`add-log-exp_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64` `frac-times_binary64`
6×	`pow1_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `frac-sub_binary64`
5×	`associate-r/_binary64` `associate-l/_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`diff-log_binary64` `pow1/3_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `associate--l+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 126

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 a t))
3.0ms	(cbrt.f64 (-.f64 a t))
33.0ms	(.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t))))
7.0ms	(-.f64 (+.f64 x y) (.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t)))))

series117.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt.f64 (-.f64 a t))
25.0ms	(cbrt.f64 (-.f64 a t))
28.0ms	(.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t))))
39.0ms	(-.f64 (+.f64 x y) (.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t)))))

simplify43.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5704	2301

prune112.0ms

Filtered

111 candidates to 138 candidates (-24.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	133	5	138
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	135	14	149

Merged error: 4.1b

Counts

149 → 14

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.8b	(.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
7.5b	(-.f64 (+.f64 x y) (.f64 (.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 a t)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log_binary64`
17×	`associate-l_binary64`
15×	`add-cbrt-cube_binary64`
12×	`cbrt-div_binary64` `add-sqr-sqrt_binary64`
11×	`cbrt-unprod_binary64` `prod-exp_binary64`
10×	`*-un-lft-identity_binary64`
9×	`add-log-exp_binary64` `pow1_binary64` `associate-*l/_binary64`
8×	`add-cube-cbrt_binary64` `associate-/r/_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`times-frac_binary64` `frac-sub_binary64` `frac-times_binary64` `cbrt-prod_binary64`
4×	`cbrt-undiv_binary64` `associate-*r/_binary64` `div-exp_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `flip-+_binary64`
2×	`diff-log_binary64` `pow1/3_binary64` `unswap-sqr_binary64`
1×	`sub-neg_binary64` `associate-r_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `associate--l+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
22.0ms	(.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
9.0ms	(-.f64 (+.f64 x y) (.f64 (.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 a t)))))

series165.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt.f64 y)
16.0ms	(cbrt.f64 y)
83.0ms	(.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
52.0ms	(-.f64 (+.f64 x y) (.f64 (.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 a t)))))

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4957	1588
1	4957	1588

prune88.0ms

Filtered

75 candidates to 96 candidates (-28.0%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	96	14	110

Merged error: 4.1b

Counts

110 → 14

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 y))
0.6b	(cbrt.f64 (cbrt.f64 y))
0.8b	(.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (.f64 (cbrt.f64 y) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y)))))
7.3b	(-.f64 (+.f64 x y) (.f64 (.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (.f64 (cbrt.f64 y) (.f64 (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y))))) (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 a t)))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-exp-log_binary64`
34×	`cbrt-unprod_binary64` `prod-exp_binary64`
29×	`add-cbrt-cube_binary64`
18×	`pow1_binary64` `cbrt-prod_binary64`
17×	`associate-l_binary64`
12×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`pow-prod-down_binary64` `add-cube-cbrt_binary64`
9×	`add-log-exp_binary64` `associate-*l/_binary64`
8×	`cbrt-undiv_binary64` `associate-/r/_binary64` `div-exp_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`frac-sub_binary64` `frac-times_binary64`
5×	`times-frac_binary64`
4×	`associate-*r/_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`diff-log_binary64` `pow1/3_binary64`
1×	`sub-neg_binary64` `associate-r_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `associate--l+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 102

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 y))
2.0ms	(cbrt.f64 (cbrt.f64 y))
32.0ms	(.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (.f64 (cbrt.f64 y) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y)))))
12.0ms	(-.f64 (+.f64 x y) (.f64 (.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (.f64 (cbrt.f64 y) (.f64 (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y))))) (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 a t)))))

series176.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt.f64 (cbrt.f64 y))
22.0ms	(cbrt.f64 (cbrt.f64 y))
83.0ms	(.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (.f64 (cbrt.f64 y) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y)))))
50.0ms	(-.f64 (+.f64 x y) (.f64 (.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (.f64 (cbrt.f64 y) (.f64 (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y))))) (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 a t)))))

simplify69.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4914	1922
1	4914	1922

prune53.0ms

Filtered

81 candidates to 114 candidates (-40.7%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	113	15	128

Merged error: 4.1b

Counts

128 → 15

regimes494.0ms

Accuracy

25.2% (5.2b remaining)

Error of 9.1b against oracle of 3.9b and baseline of 10.8b

bsearch45.0ms

Steps

Iters	Range		Point
9	3.006736700841944e-68	4.058336267236075e-63	8.42925508867061e-68
8	-1.1325163969914935e-101	-3.33504727022494e-105	-2.942162967547486e-102

simplify9.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	310	47
1	310	47

end0.0ms

sample811.0ms

Algorithm

intervals

Results

289.0ms	6686×	body	80	valid
68.0ms	446×	body	640	valid
49.0ms	235×	body	1280	valid
49.0ms	381×	body	320	valid
29.0ms	717×	body	80	invalid
22.0ms	232×	body	160	valid
5.0ms	20×	body	2560	valid

Details

analyze988.0ms

sample27.0ms

simplify113.0ms

prune6.0ms

localize14.0ms

rewrite39.0ms

series97.0ms

simplify66.0ms

prune87.0ms

localize13.0ms

rewrite53.0ms

series117.0ms

simplify43.0ms

prune112.0ms

localize20.0ms

rewrite37.0ms

series165.0ms

simplify50.0ms

prune88.0ms

localize21.0ms

rewrite52.0ms

series176.0ms

simplify69.0ms

prune53.0ms

regimes494.0ms

bsearch45.0ms

simplify9.0ms

end0.0ms

sample811.0ms

Profiling