Details

analyze1.4s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
1.1%	98.6%	0.3%	12
1.9%	97.8%	0.3%	13
7%	92.7%	0.3%	14

sample32.0ms

Algorithm

intervals

Results

18.0ms	255×	body	80	valid
0.0ms	1×	body	320	valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5284	21

prune10.0ms

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: 28.2b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 x y) z)
1.6b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
3.3b	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
26.4b	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64`
15×	`times-frac_binary64`
13×	`distribute-lft-out_binary64`
11×	`add-log-exp_binary64`
10×	`associate-*l/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`pow1_binary64`
5×	`associate-/r*_binary64`
4×	`frac-add_binary64` `associate-l_binary64`
3×	`associate-r_binary64` `associate-/l*_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `diff-log_binary64` `associate-/r/_binary64` `flip--_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 89

Calls

4 calls:

6.0ms	(*.f64 (+.f64 x y) z)
11.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
11.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
16.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))

series245.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(*.f64 (+.f64 x y) z)
20.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
36.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
180.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))

simplify47.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5223	2056

prune159.0ms

Filtered

76 candidates to 101 candidates (-32.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	90	11	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	11	102

Merged error: 9.2b

Counts

102 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 x y) z)
1.6b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
11.8b	(/.f64 (*.f64 y b) (+.f64 x (+.f64 y t)))
23.1b	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64` `times-frac_binary64`
19×	`distribute-lft-out_binary64`
18×	`add-cube-cbrt_binary64` `associate-*l/_binary64`
13×	`flip3-+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
10×	`associate-/r*_binary64`
8×	`frac-add_binary64`
6×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64`
4×	`associate-/r/_binary64` `associate-l_binary64` `associate-/l*_binary64`
3×	`associate-r_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
2×	`cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 106

Calls

4 calls:

6.0ms	(*.f64 (+.f64 x y) z)
8.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
8.0ms	(/.f64 (*.f64 y b) (+.f64 x (+.f64 y t)))
14.0ms	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))

series129.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 (+.f64 x y) z)
20.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
22.0ms	(/.f64 (*.f64 y b) (+.f64 x (+.f64 y t)))
79.0ms	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))

simplify33.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5031	1882

prune150.0ms

Filtered

83 candidates to 118 candidates (-42.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	115	3	118
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	116	13	129

Merged error: 5.5b

Counts

129 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 x (+.f64 y t)) b)
1.6b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
7.8b	(/.f64 y (/.f64 (+.f64 x (+.f64 y t)) b))
23.1b	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

180×	`*-un-lft-identity_binary64`
147×	`times-frac_binary64`
80×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
60×	`distribute-lft-out_binary64`
27×	`associate-/r*_binary64`
16×	`associate-*l/_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`flip3-+_binary64` `flip-+_binary64`
11×	`associate-/l*_binary64`
8×	`associate-/l/_binary64` `frac-add_binary64`
7×	`div-inv_binary64`
6×	`add-log-exp_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`pow1_binary64`
3×	`associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`+-commutative_binary64` `sum-log_binary64`

Counts

4 → 189

Calls

4 calls:

8.0ms	(/.f64 (+.f64 x (+.f64 y t)) b)
8.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
10.0ms	(/.f64 y (/.f64 (+.f64 x (+.f64 y t)) b))
16.0ms	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))

series339.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/.f64 (+.f64 x (+.f64 y t)) b)
219.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
35.0ms	(/.f64 y (/.f64 (+.f64 x (+.f64 y t)) b))
77.0ms	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))

simplify66.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5017	3364

prune197.0ms

Filtered

133 candidates to 201 candidates (-51.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	198	3	201
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	201	13	214

Merged error: 2.7b

Counts

214 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 x y) z)
1.6b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
4.7b	(*.f64 (/.f64 y (+.f64 x (+.f64 y t))) b)
23.1b	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity_binary64`
33×	`add-sqr-sqrt_binary64`
31×	`times-frac_binary64`
26×	`add-cube-cbrt_binary64`
25×	`associate-l_binary64`
22×	`distribute-lft-out_binary64`
19×	`associate-*l/_binary64`
13×	`flip3-+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
8×	`pow1_binary64` `frac-add_binary64`
6×	`associate-/l/_binary64` `add-log-exp_binary64` `associate-r_binary64`
5×	`associate-/r*_binary64`
4×	`associate-/r/_binary64`
3×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-/l*_binary64`
2×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 119

Calls

4 calls:

6.0ms	(*.f64 (+.f64 x y) z)
8.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
11.0ms	(*.f64 (/.f64 y (+.f64 x (+.f64 y t))) b)
14.0ms	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))

series146.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(*.f64 (+.f64 x y) z)
21.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
42.0ms	(*.f64 (/.f64 y (+.f64 x (+.f64 y t))) b)
76.0ms	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5007	2019

prune94.0ms

Filtered

92 candidates to 131 candidates (-42.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	131	13	144

Merged error: 2.7b

Counts

144 → 13

regimes932.0ms

Accuracy

9% (18.5b remaining)

Error of 21.3b against oracle of 2.9b and baseline of 23.1b

bsearch74.0ms

Steps

Iters	Range		Point
10	1.9677419490287825e+137	1.571460699537419e+150	5.663926007528674e+142
5	2.082517603848695e-236	6.428514711089506e-236	2.4212981744305287e-236
5	-3.7504915253632045e+51	-1.3690176932697145e+51	-1.4522351045742406e+51
9	-1.550687138605755e+157	-1.2221275380070114e+148	-5.154331974388478e+155

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	83	103
1	83	103

end0.0ms

sample718.0ms

Algorithm

intervals

Results

458.0ms	7994×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid

Details

analyze1.4s

sample32.0ms

simplify69.0ms

prune10.0ms

localize15.0ms

rewrite47.0ms

series245.0ms

simplify47.0ms

prune159.0ms

localize16.0ms

rewrite41.0ms

series129.0ms

simplify33.0ms

prune150.0ms

localize15.0ms

rewrite51.0ms

series339.0ms

simplify66.0ms

prune197.0ms

localize17.0ms

rewrite43.0ms

series146.0ms

simplify46.0ms

prune94.0ms

regimes932.0ms

bsearch74.0ms

simplify3.0ms

end0.0ms

sample718.0ms

Profiling