Details

analyze1.0s

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.6%	0.1%	6
32.8%	67.1%	0.1%	7
34.3%	65.5%	0.1%	8
38.2%	61.2%	0.5%	9
39.6%	53%	7.4%	10
40.3%	52.4%	7.4%	11
41.6%	49.6%	8.8%	12
42%	39.9%	18.1%	13
42.3%	39.6%	18.2%	14

sample41.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
7.0ms	87×	body	80	invalid
6.0ms	57×	body	80	nan

simplify101.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4959	13
1	4959	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	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 2.9b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (*.f64 k (+.f64 k 10)))
0.0b	(*.f64 a (pow.f64 k m))
0.0b	(*.f64 k (+.f64 k 10))
2.9b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log_binary64`
18×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64` `add-cbrt-cube_binary64`
11×	`associate-r_binary64` `add-cube-cbrt_binary64`
7×	`prod-exp_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `associate-l_binary64`
4×	`unswap-sqr_binary64` `unpow-prod-down_binary64` `div-exp_binary64`
3×	`flip3-+_binary64` `associate-/r*_binary64` `cbrt-unprod_binary64` `times-frac_binary64` `flip-+_binary64`
2×	`pow-to-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `sqr-pow_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64` `pow-exp_binary64` `-commutative_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-out_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 86

Calls

4 calls:

4.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))
5.0ms	(*.f64 a (pow.f64 k m))
6.0ms	(*.f64 k (+.f64 k 10))
7.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

series60.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))
15.0ms	(*.f64 a (pow.f64 k m))
7.0ms	(*.f64 k (+.f64 k 10))
35.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

simplify57.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5000	960

prune60.0ms

Filtered

67 candidates to 98 candidates (-46.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	3	99

Merged error: 2.9b

Counts

99 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 a (.f64 (cbrt.f64 (pow.f64 k m)) (cbrt.f64 (pow.f64 k m))))
0.0b	(*.f64 k (+.f64 k 10))
0.0b	(*.f64 (cbrt.f64 (pow.f64 k m)) (cbrt.f64 (pow.f64 k m)))
2.9b	(/.f64 (.f64 (.f64 a (.f64 (cbrt.f64 (pow.f64 k m)) (cbrt.f64 (pow.f64 k m)))) (cbrt.f64 (pow.f64 k m))) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod_binary64`
48×	`add-sqr-sqrt_binary64`
27×	`add-exp-log_binary64`
23×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
20×	`unpow-prod-down_binary64`
18×	`pow1_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
16×	`associate-l_binary64`
15×	`associate-r_binary64`
12×	`sqr-pow_binary64`
11×	`cbrt-unprod_binary64` `prod-exp_binary64`
10×	`swap-sqr_binary64`
6×	`pow-prod-down_binary64` `pow1/3_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`associate-/r_binary64` `times-frac_binary64` `-commutative_binary64`
2×	`flip3-+_binary64` `pow-prod-up_binary64` `associate-*r/_binary64` `associate-/r/_binary64` `pow-sqr_binary64` `flip-+_binary64`
1×	`distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `pow2_binary64`

Counts

4 → 133

Calls

4 calls:

11.0ms	(.f64 a (.f64 (cbrt.f64 (pow.f64 k m)) (cbrt.f64 (pow.f64 k m))))
7.0ms	(*.f64 k (+.f64 k 10))
12.0ms	(*.f64 (cbrt.f64 (pow.f64 k m)) (cbrt.f64 (pow.f64 k m)))
17.0ms	(/.f64 (.f64 (.f64 a (.f64 (cbrt.f64 (pow.f64 k m)) (cbrt.f64 (pow.f64 k m)))) (cbrt.f64 (pow.f64 k m))) (+.f64 1 (.f64 k (+.f64 k 10))))

series108.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(.f64 a (.f64 (cbrt.f64 (pow.f64 k m)) (cbrt.f64 (pow.f64 k m))))
5.0ms	(*.f64 k (+.f64 k 10))
27.0ms	(*.f64 (cbrt.f64 (pow.f64 k m)) (cbrt.f64 (pow.f64 k m)))
37.0ms	(/.f64 (.f64 (.f64 a (.f64 (cbrt.f64 (pow.f64 k m)) (cbrt.f64 (pow.f64 k m)))) (cbrt.f64 (pow.f64 k m))) (+.f64 1 (.f64 k (+.f64 k 10))))

simplify78.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4936	1708
1	4936	1708

prune269.0ms

Filtered

95 candidates to 145 candidates (-52.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	145	3	148

Merged error: 2.9b

Counts

148 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
0.0b	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
13.3b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
13.3b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log_binary64` `add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
24×	`times-frac_binary64` `sqrt-prod_binary64`
15×	`add-cbrt-cube_binary64`
12×	`associate-/r*_binary64`
11×	`div-exp_binary64`
8×	`sqrt-div_binary64`
6×	`pow1_binary64` `prod-exp_binary64`
5×	`cbrt-undiv_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `associate-/r/_binary64` `associate-/l*_binary64` `flip-+_binary64`
2×	`pow-to-exp_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `pow-exp_binary64`
1×	`associate-/l/_binary64` `associate-*l/_binary64`

Counts

4 → 107

Calls

4 calls:

7.0ms	(/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
19.0ms	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
5.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
5.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

series104.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
62.0ms	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
5.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
5.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

simplify108.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4919	1862
1	4919	1862

prune84.0ms

Filtered

85 candidates to 119 candidates (-40.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	119	3	122

Merged error: 2.9b

Counts

122 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.2b	(pow.f64 (*.f64 k (+.f64 k 10)) 3)
2.9b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (cbrt.f64 (pow.f64 (.f64 k (+.f64 k 10)) 3))))
28.1b	(cbrt.f64 (pow.f64 (*.f64 k (+.f64 k 10)) 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log_binary64`
16×	`*-un-lft-identity_binary64`
14×	`add-cbrt-cube_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`pow1_binary64`
8×	`cbrt-prod_binary64`
6×	`associate-*r/_binary64`
5×	`prod-exp_binary64`
4×	`flip3-+_binary64` `associate-/r_binary64` `add-log-exp_binary64` `associate-r*_binary64` `cube-div_binary64` `times-frac_binary64` `div-exp_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-l_binary64` `pow-exp_binary64`
2×	`cbrt-div_binary64` `pow-to-exp_binary64` `pow-prod-down_binary64` `cbrt-undiv_binary64` `pow-pow_binary64` `sqr-pow_binary64` `associate-/r/_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`rem-cbrt-cube_binary64` `pow1/3_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`

Counts

4 → 93

Calls

4 calls:

7.0ms	(*.f64 k (+.f64 k 10))
7.0ms	(pow.f64 (*.f64 k (+.f64 k 10)) 3)
9.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (cbrt.f64 (pow.f64 (.f64 k (+.f64 k 10)) 3))))
3.0ms	(cbrt.f64 (pow.f64 (*.f64 k (+.f64 k 10)) 3))

series67.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(*.f64 k (+.f64 k 10))
3.0ms	(pow.f64 (*.f64 k (+.f64 k 10)) 3)
51.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (cbrt.f64 (pow.f64 (.f64 k (+.f64 k 10)) 3))))
8.0ms	(cbrt.f64 (pow.f64 (*.f64 k (+.f64 k 10)) 3))

simplify30.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5570	1095

prune55.0ms

Filtered

71 candidates to 105 candidates (-47.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	105	3	108

Merged error: 2.9b

Counts

108 → 3

regimes90.0ms

Accuracy

0% (0.0b remaining)

Error of 2.1b against oracle of 2.1b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	24
1	20	24

end0.0ms

sample1.2s

Algorithm

intervals

Results

506.0ms	8000×	body	80	valid
263.0ms	3251×	body	80	invalid
92.0ms	2097×	body	80	nan

Details

analyze1.0s

sample41.0ms

simplify101.0ms

prune6.0ms

localize9.0ms

rewrite26.0ms

series60.0ms

simplify57.0ms

prune60.0ms

localize14.0ms

rewrite52.0ms

series108.0ms

simplify78.0ms

prune269.0ms

localize20.0ms

rewrite43.0ms

series104.0ms

simplify108.0ms

prune84.0ms

localize12.0ms

rewrite28.0ms

series67.0ms

simplify30.0ms

prune55.0ms

regimes90.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling