Details

analyze724.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
3.1%	96.7%	0.2%	7
6.2%	93.6%	0.2%	8
8.6%	91.2%	0.2%	9
28.1%	71.7%	0.2%	10
31%	68.8%	0.2%	11
40.5%	59.3%	0.2%	12
49.6%	50.2%	0.2%	13
59%	40.8%	0.2%	14

sample23.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4997	17
1	4997	17

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 8.5b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
0.0b	(-.f64 (*.f64 y z) x)
0.0b	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
12.3b	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity_binary64`
25×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
11×	`distribute-lft-out_binary64`
8×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-/r_binary64` `associate-/l_binary64`
4×	`associate-/l/_binary64` `pow1_binary64` `associate-/r/_binary64` `div-sub_binary64`
3×	`flip3-+_binary64` `flip3--_binary64` `flip--_binary64` `flip-+_binary64`
2×	`associate-+r-_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 97

Calls

4 calls:

12.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
4.0ms	(-.f64 (*.f64 y z) x)
19.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
9.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

series87.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
6.0ms	(-.f64 (*.f64 y z) x)
34.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
18.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

simplify55.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5048	1904

prune139.0ms

Filtered

84 candidates to 109 candidates (-29.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	103	6	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	6	110

Merged error: 0.7b

Counts

110 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 z t) x))))
0.0b	(/.f64 (+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 z t) x)))) (+.f64 x 1))
0.5b	(/.f64 1 (-.f64 (*.f64 z t) x))
11.8b	(.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 z t) x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64`
36×	`add-sqr-sqrt_binary64`
32×	`times-frac_binary64`
29×	`add-cube-cbrt_binary64`
19×	`add-exp-log_binary64`
15×	`associate-r_binary64`
13×	`add-cbrt-cube_binary64`
7×	`associate-/r*_binary64` `pow1_binary64`
6×	`add-log-exp_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
5×	`div-exp_binary64`
4×	`flip3--_binary64` `distribute-lft-out_binary64` `prod-exp_binary64` `flip--_binary64`
3×	`flip3-+_binary64` `cbrt-undiv_binary64` `associate-l_binary64` `unswap-sqr_binary64` `div-inv_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `inv-pow_binary64` `un-div-inv_binary64` `+-commutative_binary64` `pow-flip_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 121

Calls

4 calls:

4.0ms	(+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 z t) x))))
8.0ms	(/.f64 (+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 z t) x)))) (+.f64 x 1))
6.0ms	(/.f64 1 (-.f64 (*.f64 z t) x))
14.0ms	(.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 z t) x)))

series89.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 z t) x))))
36.0ms	(/.f64 (+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 z t) x)))) (+.f64 x 1))
7.0ms	(/.f64 1 (-.f64 (*.f64 z t) x))
19.0ms	(.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 z t) x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4956	2034
1	4956	2034

prune116.0ms

Filtered

90 candidates to 133 candidates (-47.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	133	6	139

Merged error: 0.7b

Counts

139 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 y z) x)
0.0b	(/.f64 1 (+.f64 x 1))
0.1b	(.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (*.f64 t z) x))) (/.f64 1 (+.f64 x 1)))
12.3b	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`times-frac_binary64`
30×	`add-cube-cbrt_binary64`
19×	`add-exp-log_binary64`
18×	`associate-r_binary64`
13×	`add-cbrt-cube_binary64`
8×	`distribute-lft-out_binary64`
7×	`associate-/r*_binary64` `pow1_binary64`
6×	`add-log-exp_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
5×	`div-exp_binary64`
4×	`flip3-+_binary64` `associate-l_binary64` `prod-exp_binary64` `flip-+_binary64`
3×	`flip3--_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-r/_binary64` `div-sub_binary64` `inv-pow_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

4 → 126

Calls

4 calls:

4.0ms	(-.f64 (*.f64 y z) x)
5.0ms	(/.f64 1 (+.f64 x 1))
20.0ms	(.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (*.f64 t z) x))) (/.f64 1 (+.f64 x 1)))
9.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

series63.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(-.f64 (*.f64 y z) x)
2.0ms	(/.f64 1 (+.f64 x 1))
37.0ms	(.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (*.f64 t z) x))) (/.f64 1 (+.f64 x 1)))
19.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

simplify47.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5254	1924

prune121.0ms

Filtered

95 candidates to 138 candidates (-45.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	138	6	144

Merged error: 0.7b

Counts

144 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 y t))
1.9b	(/.f64 (+.f64 x (/.f64 y t)) (+.f64 x 1))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
16×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
11×	`distribute-lft-out_binary64`
4×	`associate-/r_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `associate-/r/_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 52

Calls

2 calls:

6.0ms	(+.f64 x (/.f64 y t))
10.0ms	(/.f64 (+.f64 x (/.f64 y t)) (+.f64 x 1))

series13.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+.f64 x (/.f64 y t))
8.0ms	(/.f64 (+.f64 x (/.f64 y t)) (+.f64 x 1))

simplify57.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5308	696

prune41.0ms

Filtered

38 candidates to 58 candidates (-52.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	58	6	64

Merged error: 0.7b

Counts

64 → 6

regimes305.0ms

Accuracy

61.6% (2.5b remaining)

Error of 3.3b against oracle of 0.8b and baseline of 7.3b

bsearch43.0ms

Steps

Iters	Range		Point
9	2.4338549420955767e+102	2.6971863579102407e+111	6.106711130237734e+106
10	-9.1122396800649e+91	-1.3222107624803993e+81	-5.66462741609449e+83

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	37
1	44	37

end0.0ms

sample633.0ms

Algorithm

intervals

Results

391.0ms	8000×	body	80	valid
15.0ms	319×	body	80	invalid

Details

analyze724.0ms

sample23.0ms

simplify51.0ms

prune7.0ms

localize11.0ms

rewrite47.0ms

series87.0ms

simplify55.0ms

prune139.0ms

localize13.0ms

rewrite35.0ms

series89.0ms

simplify59.0ms

prune116.0ms

localize16.0ms

rewrite43.0ms

series63.0ms

simplify47.0ms

prune121.0ms

localize7.0ms

rewrite18.0ms

series13.0ms

simplify57.0ms

prune41.0ms

regimes305.0ms

bsearch43.0ms

simplify2.0ms

end0.0ms

sample633.0ms

Profiling