Details

analyze689.0ms

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
1.0ms	15×	body	80	invalid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4997	17
1	4997	17

prune6.0ms

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: 6.4b

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))
9.5b	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

rewrite50.0ms

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:

13.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
4.0ms	(-.f64 (*.f64 y z) x)
17.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
14.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

series103.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
8.0ms	(-.f64 (*.f64 y z) x)
37.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
20.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

simplify54.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5048	1904

prune105.0ms

Filtered

84 candidates to 109 candidates (-29.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	100	9	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	9	110

Merged error: 0.3b

Counts

110 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 y z) x)
0.0b	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x)))) (+.f64 x 1))
0.1b	(/.f64 1 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x)))
9.5b	(/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac_binary64`
94×	`*-un-lft-identity_binary64`
67×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
22×	`associate-/r*_binary64`
19×	`add-exp-log_binary64`
16×	`distribute-lft-out_binary64`
13×	`add-cbrt-cube_binary64` `associate-/r/_binary64`
12×	`div-inv_binary64`
11×	`associate-/l*_binary64`
9×	`div-exp_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64`
5×	`pow1_binary64` `cbrt-undiv_binary64`
4×	`associate-/l/_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64`
2×	`flip3-+_binary64` `1-exp_binary64` `rec-exp_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `div-sub_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 172

Calls

4 calls:

4.0ms	(-.f64 (*.f64 y z) x)
25.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x)))) (+.f64 x 1))
12.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x)))
10.0ms	(/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x))

series94.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(-.f64 (*.f64 y z) x)
40.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x)))) (+.f64 x 1))
28.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x)))
19.0ms	(/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x))

simplify58.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4971	3480
1	4971	3480

prune97.0ms

Filtered

125 candidates to 184 candidates (-47.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	184	9	193

Merged error: 0.3b

Counts

193 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

3.0b	(cbrt.f64 (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x)))
9.5b	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))
9.5b	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))
9.5b	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac_binary64`
35×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
15×	`cbrt-prod_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-/r_binary64` `associate-/l_binary64`
8×	`associate-/r/_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`associate-/l/_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `div-inv_binary64`
3×	`cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`
1×	`cbrt-div_binary64` `pow1/3_binary64`

Counts

4 → 120

Calls

4 calls:

8.0ms	(cbrt.f64 (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x)))
10.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))
10.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))
10.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))

series126.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(cbrt.f64 (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x)))
23.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))
20.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))
20.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))

simplify55.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5705	2143

prune86.0ms

Filtered

111 candidates to 132 candidates (-18.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	132	9	141

Merged error: 0.3b

Counts

141 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

6.4b	(/.f64 (-.f64 (.f64 y z) x) (.f64 (cbrt.f64 (-.f64 (.f64 z t) x)) (cbrt.f64 (-.f64 (.f64 z t) x))))
8.4b	(cbrt.f64 (-.f64 (*.f64 t z) x))
8.4b	(cbrt.f64 (-.f64 (*.f64 z t) x))
8.4b	(cbrt.f64 (-.f64 (*.f64 z t) x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div_binary64`
10×	`flip3--_binary64` `flip--_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-sqr-sqrt_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×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-exp_binary64` `associate-l/_binary64`
1×	`associate-/r*_binary64` `cbrt-unprod_binary64` `div-sub_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

4 → 71

Calls

4 calls:

16.0ms	(/.f64 (-.f64 (.f64 y z) x) (.f64 (cbrt.f64 (-.f64 (.f64 z t) x)) (cbrt.f64 (-.f64 (.f64 z t) x))))
4.0ms	(cbrt.f64 (-.f64 (*.f64 t z) x))
4.0ms	(cbrt.f64 (-.f64 (*.f64 z t) x))
7.0ms	(cbrt.f64 (-.f64 (*.f64 z t) x))

series193.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(/.f64 (-.f64 (.f64 y z) x) (.f64 (cbrt.f64 (-.f64 (.f64 z t) x)) (cbrt.f64 (-.f64 (.f64 z t) x))))
36.0ms	(cbrt.f64 (-.f64 (*.f64 t z) x))
48.0ms	(cbrt.f64 (-.f64 (*.f64 z t) x))
33.0ms	(cbrt.f64 (-.f64 (*.f64 z t) x))

simplify65.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5016	1289

prune50.0ms

Filtered

71 candidates to 83 candidates (-16.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	82	10	92

Merged error: 0.3b

Counts

92 → 10

regimes293.0ms

Accuracy

58.9% (2.7b remaining)

Error of 3.5b against oracle of 0.8b and baseline of 7.4b

bsearch32.0ms

Steps

Iters	Range		Point
10	5.5360033856996255e+79	1.9376720992892866e+95	1.327720719166663e+93
5	-1.5003440679220014e+98	-3.9944926545413594e+97	-4.5094556256515596e+97

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	37
1	43	37

end0.0ms

sample625.0ms

Algorithm

intervals

Results

382.0ms	8000×	body	80	valid
14.0ms	307×	body	80	invalid

Details

analyze689.0ms

sample23.0ms

simplify53.0ms

prune6.0ms

localize11.0ms

rewrite50.0ms

series103.0ms

simplify54.0ms

prune105.0ms

localize14.0ms

rewrite58.0ms

series94.0ms

simplify58.0ms

prune97.0ms

localize18.0ms

rewrite42.0ms

series126.0ms

simplify55.0ms

prune86.0ms

localize18.0ms

rewrite34.0ms

series193.0ms

simplify65.0ms

prune50.0ms

regimes293.0ms

bsearch32.0ms

simplify2.0ms

end0.0ms

sample625.0ms

Profiling