Details

analyze845.0ms

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
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	9
20.3%	79.5%	0.2%	10
25.3%	74.5%	0.2%	11
34.2%	65.6%	0.2%	12
37.4%	62%	0.6%	13
41.7%	57.7%	0.6%	14

sample30.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
4.0ms	93×	body	80	invalid

simplify287.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (283.0ms)

Iter	Nodes	Cost
0	4823	11
1	4823	11

prune13.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 y (/.f64 t y))
0.0b	(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
0.4b	(/.f64 -1/3 z)
3.3b	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
21×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64`
13×	`associate-l_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
6×	`pow1_binary64` `associate-r_binary64`
5×	`sub-neg_binary64`
4×	`difference-of-squares_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `associate-/l_binary64` `flip--_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `associate-+r+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

7.0ms	(-.f64 y (/.f64 t y))
4.0ms	(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
3.0ms	(/.f64 -1/3 z)
13.0ms	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))

series37.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(-.f64 y (/.f64 t y))
19.0ms	(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
2.0ms	(/.f64 -1/3 z)
13.0ms	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5133	1046

prune132.0ms

Filtered

78 candidates to 107 candidates (-37.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	103	6	109

Merged error: 0.0b

Counts

109 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 y (/.f64 t y))
0.0b	(+.f64 x (/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z))
0.3b	(*.f64 -1/3 (-.f64 y (/.f64 t y)))
3.2b	(/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
6×	`pow1_binary64` `associate-r_binary64`
5×	`times-frac_binary64`
4×	`associate-*r/_binary64` `difference-of-squares_binary64`
3×	`associate-/r_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-l*_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 74

Calls

4 calls:

7.0ms	(-.f64 y (/.f64 t y))
6.0ms	(+.f64 x (/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z))
10.0ms	(*.f64 -1/3 (-.f64 y (/.f64 t y)))
10.0ms	(/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z)

series39.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(-.f64 y (/.f64 t y))
18.0ms	(+.f64 x (/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z))
5.0ms	(*.f64 -1/3 (-.f64 y (/.f64 t y)))
12.0ms	(/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z)

simplify42.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5441	867

prune91.0ms

Filtered

60 candidates to 86 candidates (-43.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	86	6	92

Merged error: 0.0b

Counts

92 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 1 (/.f64 z -1/3)) (-.f64 y (/.f64 t y))))
0.2b	(/.f64 1 (/.f64 z -1/3))
0.3b	(/.f64 z -1/3)
3.3b	(*.f64 (/.f64 1 (/.f64 z -1/3)) (-.f64 y (/.f64 t y)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

157×	`times-frac_binary64`
109×	`add-sqr-sqrt_binary64`
94×	`*-un-lft-identity_binary64`
90×	`add-cube-cbrt_binary64`
44×	`associate-l_binary64`
36×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
16×	`associate-/r*_binary64`
15×	`div-exp_binary64`
10×	`div-inv_binary64`
7×	`pow1_binary64` `cbrt-undiv_binary64` `prod-exp_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64` `associate-/l*_binary64`
5×	`unswap-sqr_binary64`
4×	`sub-neg_binary64` `1-exp_binary64` `rec-exp_binary64`
3×	`cbrt-unprod_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `flip--_binary64` `associate-+r+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `inv-pow_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 197

Calls

4 calls:

5.0ms	(+.f64 x (*.f64 (/.f64 1 (/.f64 z -1/3)) (-.f64 y (/.f64 t y))))
6.0ms	(/.f64 1 (/.f64 z -1/3))
3.0ms	(/.f64 z -1/3)
20.0ms	(*.f64 (/.f64 1 (/.f64 z -1/3)) (-.f64 y (/.f64 t y)))

series37.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+.f64 x (*.f64 (/.f64 1 (/.f64 z -1/3)) (-.f64 y (/.f64 t y))))
2.0ms	(/.f64 1 (/.f64 z -1/3))
2.0ms	(/.f64 z -1/3)
11.0ms	(*.f64 (/.f64 1 (/.f64 z -1/3)) (-.f64 y (/.f64 t y)))

simplify41.0ms

Algorithm

egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4993	2022
1	4993	2022

prune194.0ms

Filtered

145 candidates to 209 candidates (-44.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	209	6	215

Merged error: 0.0b

Counts

215 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
3.3b	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))
3.3b	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))
3.3b	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt_binary64`
39×	`associate-l_binary64`
34×	`*-un-lft-identity_binary64`
33×	`times-frac_binary64`
28×	`add-cube-cbrt_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`associate-r_binary64`
10×	`pow1_binary64`
8×	`flip3--_binary64` `associate-*r/_binary64` `flip--_binary64` `frac-times_binary64`
6×	`sub-neg_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64`
5×	`cbrt-div_binary64`
4×	`add-log-exp_binary64` `associate-*l/_binary64`
3×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`pow1/3_binary64` `cbrt-prod_binary64`

Counts

4 → 137

Calls

4 calls:

9.0ms	(cbrt.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
13.0ms	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))
13.0ms	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))
13.0ms	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))

series71.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
14.0ms	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))
11.0ms	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))
11.0ms	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))

simplify86.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4954	1723
1	4954	1723

prune173.0ms

Filtered

112 candidates to 149 candidates (-33.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	149	6	155

Merged error: 0.0b

Counts

155 → 6

regimes458.0ms

Accuracy

89.9% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 4.0b

bsearch60.0ms

Steps

Iters	Range		Point
12	4.144586033155654e+62	6.9900280212315795e+103	4.213354480677583e+62
10	-4.413330058012443e+26	-78559593071.4837	-9.261977123010992e+16

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	35
1	63	35

end0.0ms

sample818.0ms

Algorithm

intervals

Results

368.0ms	8000×	body	80	valid
145.0ms	3188×	body	80	invalid

Details

analyze845.0ms

sample30.0ms

simplify287.0ms

prune13.0ms

localize13.0ms

rewrite30.0ms

series37.0ms

simplify60.0ms

prune132.0ms

localize9.0ms

rewrite34.0ms

series39.0ms

simplify42.0ms

prune91.0ms

localize10.0ms

rewrite43.0ms

series37.0ms

simplify41.0ms

prune194.0ms

localize16.0ms

rewrite53.0ms

series71.0ms

simplify86.0ms

prune173.0ms

regimes458.0ms

bsearch60.0ms

simplify2.0ms

end0.0ms

sample818.0ms

Profiling