Details

analyze1.2s

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
9.0ms	118×	body	80	invalid
3.0ms	71×	body	80	nan

simplify120.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	4959	13
1	4959	13

prune5.0ms

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: 1.8b

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))
1.8b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite21.0ms

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))
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))
16.0ms	(*.f64 a (pow.f64 k m))
33.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

simplify40.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5044	811

prune52.0ms

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: 1.8b

Counts

83 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.4b	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
1.6b	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 120

Calls

3 calls:

6.0ms	(*.f64 k (+.f64 k 10))
6.0ms	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
12.0ms	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))

series56.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(*.f64 k (+.f64 k 10))
15.0ms	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
36.0ms	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))

simplify49.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4996	1941
1	4996	1941

prune81.0ms

Filtered

92 candidates to 129 candidates (-40.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	128	4	132

Merged error: 1.8b

Counts

132 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 k)
0.5b	(cbrt.f64 k)
0.5b	(cbrt.f64 k)
1.6b	(.f64 a (.f64 (pow.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) m) (/.f64 (pow.f64 (cbrt.f64 k) m) (+.f64 1 (.f64 k (+.f64 k 10))))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-exp-log_binary64`
37×	`prod-exp_binary64`
13×	`add-cbrt-cube_binary64`
12×	`div-exp_binary64` `pow-exp_binary64`
9×	`cbrt-prod_binary64`
8×	`pow-to-exp_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`pow1_binary64`
5×	`cbrt-unprod_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `*-commutative_binary64`

Counts

4 → 67

Calls

4 calls:

1.0ms	(cbrt.f64 k)
1.0ms	(cbrt.f64 k)
1.0ms	(cbrt.f64 k)
14.0ms	(.f64 a (.f64 (pow.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) m) (/.f64 (pow.f64 (cbrt.f64 k) m) (+.f64 1 (.f64 k (+.f64 k 10))))))

series159.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt.f64 k)
15.0ms	(cbrt.f64 k)
14.0ms	(cbrt.f64 k)
117.0ms	(.f64 a (.f64 (pow.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) m) (/.f64 (pow.f64 (cbrt.f64 k) m) (+.f64 1 (.f64 k (+.f64 k 10))))))

simplify43.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5052	893

prune46.0ms

Filtered

53 candidates to 79 candidates (-49.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	79	4	83

Merged error: 1.8b

Counts

83 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

146×	`add-sqr-sqrt_binary64`
134×	`times-frac_binary64`
76×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
48×	`associate-r_binary64`
45×	`unpow-prod-down_binary64`
33×	`add-exp-log_binary64`
24×	`associate-l_binary64`
21×	`unswap-sqr_binary64`
19×	`sqr-pow_binary64`
18×	`add-cbrt-cube_binary64`
13×	`div-exp_binary64`
10×	`sqrt-div_binary64`
8×	`pow1_binary64` `prod-exp_binary64`
7×	`associate-/l*_binary64`
6×	`associate-/r*_binary64` `associate-/r/_binary64`
5×	`flip3-+_binary64` `cbrt-undiv_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64`
3×	`pow-to-exp_binary64` `div-inv_binary64` `pow-exp_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 218

Calls

4 calls:

8.0ms	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
33.0ms	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

series62.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
38.0ms	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

simplify79.0ms

Algorithm

egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4958	5133
1	4958	5133

prune178.0ms

Filtered

148 candidates to 230 candidates (-55.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	230	4	234

Merged error: 1.8b

Counts

234 → 4

regimes101.0ms

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	21	22
1	21	22

end0.0ms

sample1.1s

Algorithm

intervals

Results

512.0ms	8000×	body	80	valid
253.0ms	3224×	body	80	invalid
84.0ms	1962×	body	80	nan

Details

analyze1.2s

sample43.0ms

simplify120.0ms

prune5.0ms

localize9.0ms

rewrite21.0ms

series54.0ms

simplify40.0ms

prune52.0ms

localize9.0ms

rewrite29.0ms

series56.0ms

simplify49.0ms

prune81.0ms

localize15.0ms

rewrite22.0ms

series159.0ms

simplify43.0ms

prune46.0ms

localize14.0ms

rewrite57.0ms

series62.0ms

simplify79.0ms

prune178.0ms

regimes101.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling