Details

analyze366.0ms

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
21.8%	78%	0.1%	6
26.5%	73.3%	0.1%	7
32%	67.9%	0.1%	8
46.4%	52.7%	0.9%	9
50.9%	47.2%	1.9%	10
54.3%	43.3%	2.4%	11
62.1%	32.5%	5.4%	12
64.3%	28.1%	7.6%	13
66.3%	24.6%	9.2%	14

sample21.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
1.0ms	35×	body	80	invalid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	739	15
1	739	15

prune4.0ms

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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 4) y)
0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
4.0b	(*.f64 (/.f64 x y) z)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64`
25×	`add-sqr-sqrt_binary64`
22×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64`
13×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`distribute-lft-out_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-l/_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `sub-div_binary64` `flip--_binary64` `flip-+_binary64` `frac-sub_binary64` `*-commutative_binary64`

Counts

3 → 78

Calls

3 calls:

6.0ms	(/.f64 (+.f64 x 4) y)
9.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
6.0ms	(*.f64 (/.f64 x y) z)

series84.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/.f64 (+.f64 x 4) y)
41.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
24.0ms	(*.f64 (/.f64 x y) z)

simplify80.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5130	1156

prune68.0ms

Filtered

62 candidates to 87 candidates (-40.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	82	5	87
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	83	6	89

Merged error: 0.0b

Counts

89 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 y (+.f64 x 4))
0.0b	(-.f64 (/.f64 1 (/.f64 y (+.f64 x 4))) (*.f64 (/.f64 x y) z))
0.1b	(/.f64 1 (/.f64 y (+.f64 x 4)))
4.0b	(*.f64 (/.f64 x y) z)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

124×	`times-frac_binary64`
104×	`*-un-lft-identity_binary64`
77×	`add-sqr-sqrt_binary64`
72×	`add-cube-cbrt_binary64`
22×	`associate-/r*_binary64` `add-exp-log_binary64`
16×	`distribute-lft-out_binary64` `add-cbrt-cube_binary64`
13×	`associate-l_binary64`
11×	`associate-/r/_binary64`
9×	`div-exp_binary64`
7×	`pow1_binary64` `div-inv_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64`
5×	`flip3-+_binary64` `cbrt-undiv_binary64` `flip-+_binary64`
3×	`associate-r_binary64`
2×	`cbrt-unprod_binary64` `1-exp_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `rec-exp_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64` `frac-sub_binary64` `*-commutative_binary64`

Counts

4 → 173

Calls

4 calls:

5.0ms	(/.f64 y (+.f64 x 4))
20.0ms	(-.f64 (/.f64 1 (/.f64 y (+.f64 x 4))) (*.f64 (/.f64 x y) z))
9.0ms	(/.f64 1 (/.f64 y (+.f64 x 4)))
6.0ms	(*.f64 (/.f64 x y) z)

series104.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/.f64 y (+.f64 x 4))
35.0ms	(-.f64 (/.f64 1 (/.f64 y (+.f64 x 4))) (*.f64 (/.f64 x y) z))
18.0ms	(/.f64 1 (/.f64 y (+.f64 x 4)))
23.0ms	(*.f64 (/.f64 x y) z)

simplify109.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4975	2880
1	4975	2880

prune257.0ms

Filtered

114 candidates to 185 candidates (-62.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	185	6	191

Merged error: 0.0b

Counts

191 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 z (cbrt.f64 (/.f64 x y))))
10.7b	(cbrt.f64 (/.f64 x y))
10.7b	(cbrt.f64 (/.f64 x y))
10.7b	(cbrt.f64 (/.f64 x y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod_binary64`
27×	`times-frac_binary64`
25×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`pow1_binary64` `add-exp-log_binary64`
15×	`cbrt-div_binary64`
10×	`add-cbrt-cube_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
7×	`associate-*r/_binary64`
5×	`frac-times_binary64` `associate-*l/_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `div-inv_binary64`
1×	`associate-r_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

16.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 z (cbrt.f64 (/.f64 x y))))
2.0ms	(cbrt.f64 (/.f64 x y))
2.0ms	(cbrt.f64 (/.f64 x y))
2.0ms	(cbrt.f64 (/.f64 x y))

series195.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 z (cbrt.f64 (/.f64 x y))))
60.0ms	(cbrt.f64 (/.f64 x y))
55.0ms	(cbrt.f64 (/.f64 x y))
55.0ms	(cbrt.f64 (/.f64 x y))

simplify96.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4950	1313
1	4950	1313

prune79.0ms

Filtered

78 candidates to 107 candidates (-37.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	107	6	113

Merged error: 0.0b

Counts

113 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
1.1b	(*.f64 z (/.f64 x (cbrt.f64 y)))
3.5b	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 z (/.f64 x (cbrt.f64 y))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-exp-log_binary64`
46×	`prod-exp_binary64`
35×	`add-cbrt-cube_binary64`
30×	`add-sqr-sqrt_binary64`
23×	`associate-r_binary64` `times-frac_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
20×	`cbrt-unprod_binary64` `div-exp_binary64`
16×	`cbrt-prod_binary64`
11×	`pow1_binary64`
10×	`cbrt-undiv_binary64` `associate-l_binary64`
6×	`1-exp_binary64` `rec-exp_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-*r/_binary64`
3×	`unswap-sqr_binary64`
2×	`pow1/3_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`frac-times_binary64` `associate-*l/_binary64`

Counts

4 → 115

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
9.0ms	(*.f64 z (/.f64 x (cbrt.f64 y)))
17.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 z (/.f64 x (cbrt.f64 y))))

series275.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(cbrt.f64 y)
87.0ms	(cbrt.f64 y)
64.0ms	(*.f64 z (/.f64 x (cbrt.f64 y)))
38.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 z (/.f64 x (cbrt.f64 y))))

simplify110.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4928	1249
1	4928	1249

prune82.0ms

Filtered

80 candidates to 127 candidates (-58.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	127	6	133

Merged error: 0.0b

Counts

133 → 6

regimes87.0ms

Accuracy

76.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.6b

bsearch37.0ms

Steps

Iters	Range		Point
8	1.5743126877954753e-103	1.832335862575971e-99	1.7577378261899339e-99
7	-4.686027259765147e+53	-3.263048133535819e+51	-1.1923139064597252e+53

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	47
1	73	47

end0.0ms

sample573.0ms

Algorithm

intervals

Results

320.0ms	8000×	body	80	valid
45.0ms	1179×	body	80	invalid

Details

analyze366.0ms

sample21.0ms

simplify61.0ms

prune4.0ms

localize8.0ms

rewrite23.0ms

series84.0ms

simplify80.0ms

prune68.0ms

localize11.0ms

rewrite47.0ms

series104.0ms

simplify109.0ms

prune257.0ms

localize12.0ms

rewrite26.0ms

series195.0ms

simplify96.0ms

prune79.0ms

localize14.0ms

rewrite33.0ms

series275.0ms

simplify110.0ms

prune82.0ms

regimes87.0ms

bsearch37.0ms

simplify4.0ms

end0.0ms

sample573.0ms

Profiling