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

sample43.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
8.0ms	105×	body	80	invalid
3.0ms	64×	body	80	nan

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4961	13
1	4961	13

prune7.0ms

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: 1.4b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10.0))
0.0b	(*.f64 a (pow.f64 k m))
1.4b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1.0 (.f64 k (+.f64 k 10.0))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

6.0ms	(*.f64 k (+.f64 k 10.0))
5.0ms	(*.f64 a (pow.f64 k m))
7.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1.0 (.f64 k (+.f64 k 10.0))))

series64.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(*.f64 k (+.f64 k 10.0))
16.0ms	(*.f64 a (pow.f64 k m))
39.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1.0 (.f64 k (+.f64 k 10.0))))

simplify39.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5184	822

prune75.0ms

Filtered

55 candidates to 82 candidates (-49.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	3	83

Merged error: 1.4b

Counts

83 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 a (sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0)))))
0.0b	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1.0 (.f64 k (+.f64 k 10.0))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0)))))
13.8b	(sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))))
13.8b	(sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))))

rewrite27.0ms

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:

6.0ms	(/.f64 a (sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0)))))
13.0ms	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1.0 (.f64 k (+.f64 k 10.0))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0)))))
3.0ms	(sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))))
3.0ms	(sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))))

series70.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/.f64 a (sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0)))))
38.0ms	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1.0 (.f64 k (+.f64 k 10.0))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0)))))
4.0ms	(sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))))
5.0ms	(sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))))

simplify49.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5006	1927

prune127.0ms

Filtered

85 candidates to 119 candidates (-40.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	119	3	122

Merged error: 1.4b

Counts

122 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10.0))
0.0b	(*.f64 a (pow.f64 k m))
0.1b	(/.f64 1 (/.f64 (+.f64 1.0 (.f64 k (+.f64 k 10.0))) (.f64 a (pow.f64 k m))))
1.4b	(/.f64 (+.f64 1.0 (.f64 k (+.f64 k 10.0))) (.f64 a (pow.f64 k m)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-exp-log_binary64`
36×	`times-frac_binary64`
34×	`add-sqr-sqrt_binary64`
29×	`*-un-lft-identity_binary64`
27×	`add-cube-cbrt_binary64`
26×	`div-exp_binary64`
22×	`add-cbrt-cube_binary64`
16×	`prod-exp_binary64`
11×	`associate-r_binary64`
8×	`associate-/r*_binary64`
7×	`pow1_binary64` `cbrt-undiv_binary64`
6×	`associate-l_binary64` `associate-/l*_binary64` `div-inv_binary64`
5×	`pow-to-exp_binary64` `1-exp_binary64` `rec-exp_binary64` `pow-exp_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-r/_binary64` `sqr-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `-commutative_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 135

Calls

4 calls:

6.0ms	(*.f64 k (+.f64 k 10.0))
5.0ms	(*.f64 a (pow.f64 k m))
9.0ms	(/.f64 1 (/.f64 (+.f64 1.0 (.f64 k (+.f64 k 10.0))) (.f64 a (pow.f64 k m))))
8.0ms	(/.f64 (+.f64 1.0 (.f64 k (+.f64 k 10.0))) (.f64 a (pow.f64 k m)))

series89.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 k (+.f64 k 10.0))
17.0ms	(*.f64 a (pow.f64 k m))
30.0ms	(/.f64 1 (/.f64 (+.f64 1.0 (.f64 k (+.f64 k 10.0))) (.f64 a (pow.f64 k m))))
33.0ms	(/.f64 (+.f64 1.0 (.f64 k (+.f64 k 10.0))) (.f64 a (pow.f64 k m)))

simplify62.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5038	2006

prune112.0ms

Filtered

89 candidates to 147 candidates (-65.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	146	4	150

Merged error: 1.4b

Counts

150 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

1.4b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1.0 (.f64 (.f64 (cbrt.f64 (.f64 k (+.f64 k 10.0))) (cbrt.f64 (.f64 k (+.f64 k 10.0)))) (cbrt.f64 (.f64 k (+.f64 k 10.0))))))
14.6b	(cbrt.f64 (*.f64 k (+.f64 k 10.0)))
14.6b	(cbrt.f64 (*.f64 k (+.f64 k 10.0)))
14.6b	(cbrt.f64 (*.f64 k (+.f64 k 10.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
6×	`cbrt-div_binary64` `-un-lft-identity_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `div-exp_binary64` `flip-+_binary64`
3×	`associate-/r*_binary64` `pow1/3_binary64` `prod-exp_binary64` `times-frac_binary64` `cbrt-prod_binary64`
2×	`cbrt-undiv_binary64` `associate-/r/_binary64`
1×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `pow-exp_binary64`

Counts

4 → 58

Calls

4 calls:

7.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1.0 (.f64 (.f64 (cbrt.f64 (.f64 k (+.f64 k 10.0))) (cbrt.f64 (.f64 k (+.f64 k 10.0)))) (cbrt.f64 (.f64 k (+.f64 k 10.0))))))
5.0ms	(cbrt.f64 (*.f64 k (+.f64 k 10.0)))
5.0ms	(cbrt.f64 (*.f64 k (+.f64 k 10.0)))
5.0ms	(cbrt.f64 (*.f64 k (+.f64 k 10.0)))

series78.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1.0 (.f64 (.f64 (cbrt.f64 (.f64 k (+.f64 k 10.0))) (cbrt.f64 (.f64 k (+.f64 k 10.0)))) (cbrt.f64 (.f64 k (+.f64 k 10.0))))))
10.0ms	(cbrt.f64 (*.f64 k (+.f64 k 10.0)))
10.0ms	(cbrt.f64 (*.f64 k (+.f64 k 10.0)))
11.0ms	(cbrt.f64 (*.f64 k (+.f64 k 10.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5034	1001

prune87.0ms

Filtered

59 candidates to 70 candidates (-18.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	70	4	74

Merged error: 1.4b

Counts

74 → 4

regimes145.0ms

Accuracy

0% (0.1b remaining)

Error of 2.0b against oracle of 1.9b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	23
1	17	23

end0.0ms

sample1.2s

Algorithm

intervals

Results

520.0ms	8000×	body	80	valid
268.0ms	3309×	body	80	invalid
86.0ms	1999×	body	80	nan

Details

analyze1.0s

sample43.0ms

simplify97.0ms

prune7.0ms

localize9.0ms

rewrite20.0ms

series64.0ms

simplify39.0ms

prune75.0ms

localize11.0ms

rewrite27.0ms

series70.0ms

simplify49.0ms

prune127.0ms

localize10.0ms

rewrite34.0ms

series89.0ms

simplify62.0ms

prune112.0ms

localize13.0ms

rewrite23.0ms

series78.0ms

simplify46.0ms

prune87.0ms

regimes145.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling