Details

analyze1.1s

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

17.0ms	256×	body	80	valid
9.0ms	110×	body	80	invalid
3.0ms	70×	body	80	nan

simplify147.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (135.0ms)

Iter	Nodes	Cost
0	5020	19

prune4.0ms

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: 1.9b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 a (pow.f64 k m))
0.0b	(*.f64 k (+.f64 k 10))
1.9b	(/.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:

5.0ms	(*.f64 a (pow.f64 k m))
6.0ms	(*.f64 k (+.f64 k 10))
8.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

series215.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(*.f64 a (pow.f64 k m))
30.0ms	(*.f64 k (+.f64 k 10))
128.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

simplify89.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4956	1226
1	4956	1226

prune65.0ms

Filtered

57 candidates to 82 candidates (-43.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	78	4	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	4	83

Merged error: 1.9b

Counts

83 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.2b	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
1.8b	(.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)))))

series211.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(*.f64 k (+.f64 k 10))
54.0ms	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
131.0ms	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))

simplify84.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4951	2966
1	4951	2966

prune106.0ms

Filtered

93 candidates to 129 candidates (-38.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	129	4	133

Merged error: 1.9b

Counts

133 → 4

localize11.0ms

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))))))
14.5b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
14.5b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite58.0ms

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:

7.0ms	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
35.0ms	(.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))))

series219.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
127.0ms	(.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))))))
13.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
14.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

simplify101.0ms

Algorithm

egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5002	7880

prune242.0ms

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: 1.9b

Counts

234 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

2.9b	(/.f64 a (.f64 (cbrt.f64 (+.f64 1 (.f64 k (+.f64 k 10)))) (cbrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
14.9b	(cbrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
14.9b	(cbrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
14.9b	(cbrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div_binary64`
9×	`flip3-+_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-sqr-sqrt_binary64` `flip-+_binary64` `cbrt-prod_binary64`
8×	`associate-/r/_binary64`
7×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `frac-times_binary64`
3×	`pow1/3_binary64` `associate-/l*_binary64` `times-frac_binary64`
2×	`cbrt-undiv_binary64` `associate-r/_binary64` `div-exp_binary64` `associate-l/_binary64`
1×	`associate-/r*_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

4 → 68

Calls

4 calls:

10.0ms	(/.f64 a (.f64 (cbrt.f64 (+.f64 1 (.f64 k (+.f64 k 10)))) (cbrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
3.0ms	(cbrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
3.0ms	(cbrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
3.0ms	(cbrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

series242.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(/.f64 a (.f64 (cbrt.f64 (+.f64 1 (.f64 k (+.f64 k 10)))) (cbrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
26.0ms	(cbrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
30.0ms	(cbrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
30.0ms	(cbrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

simplify82.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4930	1876
1	4930	1876

prune128.0ms

Filtered

69 candidates to 80 candidates (-15.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	80	4	84

Merged error: 1.9b

Counts

84 → 4

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	19
1	18	19

end0.0ms

sample1.2s

Algorithm

intervals

Results

535.0ms	8000×	body	80	valid
267.0ms	3232×	body	80	invalid
94.0ms	1972×	body	80	nan

Details

analyze1.1s

sample42.0ms

simplify147.0ms

prune4.0ms

localize10.0ms

rewrite21.0ms

series215.0ms

simplify89.0ms

prune65.0ms

localize10.0ms

rewrite29.0ms

series211.0ms

simplify84.0ms

prune106.0ms

localize11.0ms

rewrite58.0ms

series219.0ms

simplify101.0ms

prune242.0ms

localize13.0ms

rewrite20.0ms

series242.0ms

simplify82.0ms

prune128.0ms

regimes36.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample1.2s

Profiling