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

sample37.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5284	21

prune13.0ms

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: 29.4b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 t y) a)
1.1b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
1.6b	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
27.6b	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))

rewrite50.0ms

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:

7.0ms	(*.f64 (+.f64 t y) a)
9.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
15.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
17.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))

series286.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(*.f64 (+.f64 t y) a)
32.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
38.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
205.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))

simplify63.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5333	2056

prune96.0ms

Filtered

78 candidates to 101 candidates (-29.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	92	9	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	9	102

Merged error: 11.3b

Counts

102 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (/.f64 (+.f64 x (+.f64 y t)) (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))))
1.1b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
1.6b	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))
27.6b	(/.f64 (+.f64 x (+.f64 y t)) (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity_binary64`
138×	`times-frac_binary64`
72×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
48×	`distribute-lft-out_binary64`
24×	`associate-/r*_binary64`
17×	`add-exp-log_binary64`
11×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
8×	`associate-/l_binary64` `div-exp_binary64` `associate-l/_binary64`
6×	`flip3-+_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64` `flip-+_binary64`
5×	`pow1_binary64`
4×	`cbrt-undiv_binary64` `frac-add_binary64`
2×	`associate-/l/_binary64` `diff-log_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `sum-log_binary64`
1×	`sub-neg_binary64` `inv-pow_binary64` `+-commutative_binary64` `pow-flip_binary64` `associate--l+_binary64`

Counts

4 → 175

Calls

4 calls:

19.0ms	(/.f64 1 (/.f64 (+.f64 x (+.f64 y t)) (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))))
9.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
11.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))
19.0ms	(/.f64 (+.f64 x (+.f64 y t)) (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(/.f64 1 (/.f64 (+.f64 x (+.f64 y t)) (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))))
19.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
37.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))
39.0ms	(/.f64 (+.f64 x (+.f64 y t)) (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b)))

simplify64.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4977	5791
1	4977	5791

prune101.0ms

Filtered

106 candidates to 187 candidates (-76.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	187	0	187
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	187	9	196

Merged error: 11.3b

Counts

196 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 x (+.f64 y t)))
1.1b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
1.6b	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
27.7b	(.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (.f64 y b)) (/.f64 1 (+.f64 x (+.f64 y t))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
31×	`add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64`
21×	`distribute-lft-out_binary64` `associate-r_binary64`
17×	`add-exp-log_binary64`
11×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
10×	`associate-*l/_binary64`
7×	`flip3-+_binary64` `pow1_binary64` `flip-+_binary64`
5×	`associate-/r*_binary64`
4×	`frac-add_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `unswap-sqr_binary64` `associate-/l*_binary64` `flip--_binary64`
2×	`diff-log_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `frac-times_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `+-commutative_binary64` `pow-flip_binary64` `associate--l+_binary64` `-commutative_binary64`

Counts

4 → 117

Calls

4 calls:

7.0ms	(/.f64 1 (+.f64 x (+.f64 y t)))
8.0ms	(+.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))
22.0ms	(.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (.f64 y b)) (/.f64 1 (+.f64 x (+.f64 y t))))

series237.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/.f64 1 (+.f64 x (+.f64 y t)))
19.0ms	(+.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))
171.0ms	(.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (.f64 y b)) (/.f64 1 (+.f64 x (+.f64 y t))))

simplify50.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4980	2274
1	4980	2274

prune75.0ms

Filtered

82 candidates to 129 candidates (-57.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	129	9	138

Merged error: 11.3b

Counts

138 → 9

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify8.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	2	2
Total	9	9

Merged error: 11.3b

Counts

9 → 9

regimes672.0ms

Accuracy

16.7% (15.4b remaining)

Error of 23.8b against oracle of 8.3b and baseline of 26.9b

bsearch86.0ms

Steps

Iters	Range		Point
10	2.196989436317219e+85	8.791416991584942e+98	8.670749435847924e+98
10	-7.636235793894493e-264	-2.4249382283889772e-275	-7.5621059774623085e-264
8	-1.0856819259922404e-235	-8.003127462395468e-239	-5.0588825569742354e-238
8	-3.939541074435555e+167	-4.924949534362482e+163	-3.097554101876184e+166

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	65
1	62	65

end0.0ms

sample739.0ms

Algorithm

intervals

Results

453.0ms	7994×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid

Details

analyze1.4s

sample37.0ms

simplify104.0ms

prune13.0ms

localize21.0ms

rewrite50.0ms

series286.0ms

simplify63.0ms

prune96.0ms

localize14.0ms

rewrite67.0ms

series259.0ms

simplify64.0ms

prune101.0ms

localize14.0ms

rewrite53.0ms

series237.0ms

simplify50.0ms

prune75.0ms

localize1.0ms

rewrite0.0ms

series0.0ms

simplify8.0ms

prune0.0ms

regimes672.0ms

bsearch86.0ms

simplify2.0ms

end0.0ms

sample739.0ms

Profiling