Details

analyze774.0ms

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

sample22.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	13×	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

prune9.0ms

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: 9.0b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 t z) x)
0.0b	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
0.3b	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
12.2b	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

rewrite46.0ms

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:

4.0ms	(-.f64 (*.f64 t z) x)
12.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
16.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
10.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

series90.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(-.f64 (*.f64 t z) x)
28.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
37.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
19.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

simplify56.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5087	1904

prune106.0ms

Filtered

84 candidates to 109 candidates (-29.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	99	10	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	10	110

Merged error: 1.1b

Counts

110 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 z t) x)
0.3b	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x)))) (+.f64 x 1))
0.3b	(/.f64 1 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x)))
12.1b	(/.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 z t) x)
24.0ms	(/.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))

series86.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(-.f64 (*.f64 z t) x)
37.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x)))) (+.f64 x 1))
23.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x)))
21.0ms	(/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x))

simplify59.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5084	3480

prune107.0ms

Filtered

124 candidates to 184 candidates (-48.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	181	3	184
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	184	10	194

Merged error: 1.1b

Counts

194 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (+.f64 x (/.f64 1 (.f64 (-.f64 (.f64 z t) x) (/.f64 1 (-.f64 (*.f64 z y) x))))) (+.f64 x 1))
0.3b	(/.f64 1 (.f64 (-.f64 (.f64 z t) x) (/.f64 1 (-.f64 (*.f64 z y) x))))
1.2b	(/.f64 1 (-.f64 (*.f64 z y) x))
11.2b	(.f64 (-.f64 (.f64 z t) x) (/.f64 1 (-.f64 (*.f64 z y) x)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity_binary64`
54×	`add-exp-log_binary64`
43×	`times-frac_binary64`
40×	`add-sqr-sqrt_binary64`
33×	`add-cube-cbrt_binary64`
22×	`add-cbrt-cube_binary64`
21×	`div-exp_binary64`
16×	`distribute-lft-out_binary64` `prod-exp_binary64`
15×	`associate-r_binary64`
12×	`associate-/r/_binary64`
11×	`associate-/l*_binary64`
10×	`pow1_binary64` `1-exp_binary64` `rec-exp_binary64`
9×	`div-inv_binary64`
8×	`associate-/r*_binary64`
7×	`cbrt-undiv_binary64`
6×	`flip3--_binary64` `flip--_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `associate-*l/_binary64`
3×	`associate-l_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `pow-flip_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-/l/_binary64` `associate-*r/_binary64` `inv-pow_binary64` `un-div-inv_binary64` `flip-+_binary64`
1×	`*-commutative_binary64`

Counts

4 → 164

Calls

4 calls:

14.0ms	(/.f64 (+.f64 x (/.f64 1 (.f64 (-.f64 (.f64 z t) x) (/.f64 1 (-.f64 (*.f64 z y) x))))) (+.f64 x 1))
14.0ms	(/.f64 1 (.f64 (-.f64 (.f64 z t) x) (/.f64 1 (-.f64 (*.f64 z y) x))))
7.0ms	(/.f64 1 (-.f64 (*.f64 z y) x))
15.0ms	(.f64 (-.f64 (.f64 z t) x) (/.f64 1 (-.f64 (*.f64 z y) x)))

series87.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/.f64 (+.f64 x (/.f64 1 (.f64 (-.f64 (.f64 z t) x) (/.f64 1 (-.f64 (*.f64 z y) x))))) (+.f64 x 1))
23.0ms	(/.f64 1 (.f64 (-.f64 (.f64 z t) x) (/.f64 1 (-.f64 (*.f64 z y) x))))
7.0ms	(/.f64 1 (-.f64 (*.f64 z y) x))
19.0ms	(.f64 (-.f64 (.f64 z t) x) (/.f64 1 (-.f64 (*.f64 z y) x)))

simplify56.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4961	2541
1	4961	2541

prune94.0ms

Filtered

101 candidates to 176 candidates (-74.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	175	1	176
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	175	11	186

Merged error: 1.1b

Counts

186 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x)))
0.1b	(/.f64 1 (/.f64 (+.f64 x 1) (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x)))))
0.4b	(/.f64 (+.f64 x 1) (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))))
12.2b	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

167×	`*-un-lft-identity_binary64`
155×	`times-frac_binary64`
81×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
43×	`distribute-lft-out_binary64`
29×	`associate-/r*_binary64`
19×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64` `associate-/r/_binary64`
10×	`associate-/l*_binary64`
9×	`div-exp_binary64`
7×	`flip3-+_binary64` `div-inv_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` `div-sub_binary64` `rec-exp_binary64` `flip--_binary64`
1×	`associate-+r-_binary64` `inv-pow_binary64` `+-commutative_binary64` `pow-flip_binary64` `sum-log_binary64`

Counts

4 → 197

Calls

4 calls:

12.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x)))
20.0ms	(/.f64 1 (/.f64 (+.f64 x 1) (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x)))))
17.0ms	(/.f64 (+.f64 x 1) (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))))
10.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))

series119.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x)))
35.0ms	(/.f64 1 (/.f64 (+.f64 x 1) (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x)))))
32.0ms	(/.f64 (+.f64 x 1) (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))))
23.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))

simplify64.0ms

Algorithm

egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5289	4982

prune80.0ms

Filtered

121 candidates to 209 candidates (-72.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	209	11	220

Merged error: 1.1b

Counts

220 → 11

regimes309.0ms

Accuracy

56.6% (3.0b remaining)

Error of 3.9b against oracle of 0.9b and baseline of 7.7b

bsearch27.0ms

Steps

Iters	Range		Point
4	2.1801114796616904e+185	4.052210802793519e+185	2.2177898291412525e+185
9	-9.094102765619846e+130	-3.378376125627954e+123	-3.7805821512846415e+125

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	39
1	45	39

end0.0ms

sample612.0ms

Algorithm

intervals

Results

382.0ms	8000×	body	80	valid
15.0ms	336×	body	80	invalid

Details

analyze774.0ms

sample22.0ms

simplify53.0ms

prune9.0ms

localize11.0ms

rewrite46.0ms

series90.0ms

simplify56.0ms

prune106.0ms

localize12.0ms

rewrite58.0ms

series86.0ms

simplify59.0ms

prune107.0ms

localize13.0ms

rewrite58.0ms

series87.0ms

simplify56.0ms

prune94.0ms

localize14.0ms

rewrite69.0ms

series119.0ms

simplify64.0ms

prune80.0ms

regimes309.0ms

bsearch27.0ms

simplify2.0ms

end0.0ms

sample612.0ms

Profiling