Details

analyze991.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
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

sample42.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
9.0ms	113×	body	80	invalid
3.0ms	68×	body	80	nan

simplify99.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4959	13
1	4959	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: 0.9b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(*.f64 a (pow.f64 k m))
0.9b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite24.0ms

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:

9.0ms	(*.f64 k (+.f64 k 10))
5.0ms	(*.f64 a (pow.f64 k m))
7.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

series54.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(*.f64 k (+.f64 k 10))
14.0ms	(*.f64 a (pow.f64 k m))
34.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

simplify39.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5044	811

prune88.0ms

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: 0.8b

Counts

83 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 k)
0.6b	(cbrt.f64 k)
0.6b	(cbrt.f64 k)
0.9b	(/.f64 (.f64 (.f64 a (pow.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) m)) (pow.f64 (cbrt.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt.f64 k)
1.0ms	(cbrt.f64 k)
1.0ms	(cbrt.f64 k)
12.0ms	(/.f64 (.f64 (.f64 a (pow.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) m)) (pow.f64 (cbrt.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))

series168.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 k)
16.0ms	(cbrt.f64 k)
16.0ms	(cbrt.f64 k)
121.0ms	(/.f64 (.f64 (.f64 a (pow.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) m)) (pow.f64 (cbrt.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))

simplify42.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4986	1034
1	4986	1034

prune79.0ms

Filtered

58 candidates to 83 candidates (-43.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	83	3	86

Merged error: 0.8b

Counts

86 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(*.f64 a (pow.f64 k m))
0.3b	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m))))
0.8b	(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m)))

rewrite33.0ms

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))
5.0ms	(*.f64 a (pow.f64 k m))
9.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m))))
8.0ms	(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(*.f64 k (+.f64 k 10))
15.0ms	(*.f64 a (pow.f64 k m))
29.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m))))
33.0ms	(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m)))

simplify63.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4934	1978
1	4934	1978

prune115.0ms

Filtered

88 candidates to 147 candidates (-67.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	145	2	147
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	147	3	150

Merged error: 0.1b

Counts

150 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (*.f64 a (pow.f64 k m)))
0.0b	(*.f64 a (pow.f64 k m))
0.1b	(/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10))))
0.9b	(/.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 1 (.f64 a (pow.f64 k m))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

237×	`times-frac_binary64`
192×	`add-exp-log_binary64`
120×	`div-exp_binary64`
110×	`add-sqr-sqrt_binary64`
105×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
48×	`prod-exp_binary64`
34×	`1-exp_binary64` `add-cbrt-cube_binary64` `rec-exp_binary64`
27×	`div-inv_binary64`
21×	`associate-/l*_binary64`
19×	`associate-/r/_binary64`
16×	`pow-to-exp_binary64` `cbrt-undiv_binary64` `pow-exp_binary64`
11×	`associate-/r*_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
7×	`associate-r_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `unpow-prod-down_binary64`
3×	`associate-l_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`sqr-pow_binary64` `inv-pow_binary64` `pow-flip_binary64`
1×	`associate-/l/_binary64` `*-commutative_binary64`

Counts

4 → 288

Calls

4 calls:

6.0ms	(/.f64 1 (*.f64 a (pow.f64 k m)))
5.0ms	(*.f64 a (pow.f64 k m))
5.0ms	(/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10))))
14.0ms	(/.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 1 (.f64 a (pow.f64 k m))))

series68.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/.f64 1 (*.f64 a (pow.f64 k m)))
14.0ms	(*.f64 a (pow.f64 k m))
4.0ms	(/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10))))
32.0ms	(/.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 1 (.f64 a (pow.f64 k m))))

simplify76.0ms

Algorithm

egg-herbie

Counts

300 → 300

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4969	5613
1	4969	5613

prune215.0ms

Filtered

141 candidates to 300 candidates (-112.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	299	1	300
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	299	4	303

Merged error: 0.1b

Counts

303 → 4

regimes141.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.1b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	22
1	21	22

end0.0ms

sample1.1s

Algorithm

intervals

Results

505.0ms	8000×	body	80	valid
254.0ms	3196×	body	80	invalid
87.0ms	1929×	body	80	nan

Details

analyze991.0ms

sample42.0ms

simplify99.0ms

prune7.0ms

localize9.0ms

rewrite24.0ms

series54.0ms

simplify39.0ms

prune88.0ms

localize15.0ms

rewrite18.0ms

series168.0ms

simplify42.0ms

prune79.0ms

localize10.0ms

rewrite33.0ms

series82.0ms

simplify63.0ms

prune115.0ms

localize12.0ms

rewrite44.0ms

series68.0ms

simplify76.0ms

prune215.0ms

regimes141.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling