Details

analyze109.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	50%	50%	4
0%	50%	50%	5
12.5%	37.5%	50%	6
18.7%	31.2%	50%	7
28.1%	21.9%	50%	8
32.8%	17.2%	50%	9
38.2%	11.7%	50%	10
41%	9%	50%	11
43.9%	6%	50%	12
45.4%	4.6%	50%	13
46.9%	3.1%	50%	14

sample27.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
0.0ms	1×	body	80	nan

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5222	28

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: 0.4b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 5.0 (.f64 v v))
0.2b	(*.f64 PI.f64 t)
0.3b	(/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v)))))) (-.f64 1.0 (*.f64 v v))))
0.5b	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (*.f64 v v))))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`associate-*r/_binary64`
16×	`pow1_binary64`
13×	`cbrt-unprod_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`flip3--_binary64` `associate-r_binary64` `associate-/r/_binary64` `flip--_binary64` `sqrt-div_binary64`
7×	`pow-prod-down_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `frac-times_binary64`
3×	`associate-/l_binary64` `times-frac_binary64` `-commutative_binary64`
2×	`associate-/l/_binary64` `unswap-sqr_binary64` `associate-*l/_binary64`
1×	`associate-/r*_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `sqrt-prod_binary64`

Counts

4 → 94

Calls

4 calls:

6.0ms	(.f64 5.0 (.f64 v v))
4.0ms	(*.f64 PI.f64 t)
18.0ms	(/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v)))))) (-.f64 1.0 (*.f64 v v))))
11.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (*.f64 v v))))))

series84.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(.f64 5.0 (.f64 v v))
3.0ms	(*.f64 PI.f64 t)
52.0ms	(/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v)))))) (-.f64 1.0 (*.f64 v v))))
25.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (*.f64 v v))))))

simplify70.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4981	1908
1	4981	1908

prune162.0ms

Filtered

74 candidates to 106 candidates (-43.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	96	10	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	10	107

Merged error: 0.1b

Counts

107 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 5.0 (.f64 v v))
0.3b	(/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v))))))) (-.f64 1.0 (*.f64 v v))))
0.4b	(.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (*.f64 v v)))))))
0.4b	(.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v))))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

30×	`associate-*r/_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`pow1_binary64`
13×	`cbrt-unprod_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqrt-div_binary64`
9×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
8×	`associate-/r/_binary64`
7×	`pow-prod-down_binary64`
6×	`associate-r_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `frac-times_binary64`
3×	`associate-/l_binary64` `times-frac_binary64` `-commutative_binary64`
2×	`associate-/l/_binary64` `unswap-sqr_binary64` `associate-*l/_binary64`
1×	`associate-/r*_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `sqrt-prod_binary64`

Counts

4 → 96

Calls

4 calls:

5.0ms	(.f64 5.0 (.f64 v v))
16.0ms	(/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v))))))) (-.f64 1.0 (*.f64 v v))))
10.0ms	(.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (*.f64 v v)))))))
10.0ms	(.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v))))))

series103.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(.f64 5.0 (.f64 v v))
52.0ms	(/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v))))))) (-.f64 1.0 (*.f64 v v))))
24.0ms	(.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (*.f64 v v)))))))
22.0ms	(.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v))))))

simplify53.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5016	2144

prune160.0ms

Filtered

80 candidates to 108 candidates (-35.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	109	9	118

Merged error: 0.1b

Counts

118 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 v v) 5.0)
0.3b	(/.f64 1 (/.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v)))))) PI.f64) (/.f64 (-.f64 1.0 (.f64 (.f64 v v) 5.0)) (-.f64 1.0 (.f64 v v)))))
0.4b	(.f64 (.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (*.f64 v v)))))) PI.f64)
0.4b	(.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v))))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

189×	`times-frac_binary64`
89×	`add-exp-log_binary64`
83×	`add-sqr-sqrt_binary64`
68×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
45×	`add-cbrt-cube_binary64`
41×	`div-exp_binary64`
25×	`prod-exp_binary64`
23×	`associate-/r*_binary64`
17×	`pow1_binary64`
16×	`cbrt-undiv_binary64`
13×	`cbrt-unprod_binary64` `associate-/r/_binary64`
12×	`difference-of-squares_binary64`
10×	`associate-r_binary64`
9×	`div-inv_binary64`
8×	`associate-*r/_binary64`
7×	`pow-prod-down_binary64` `1-exp_binary64` `rec-exp_binary64`
6×	`flip3--_binary64` `flip--_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `sqrt-div_binary64`
3×	`associate-/l_binary64` `-commutative_binary64`
2×	`unswap-sqr_binary64` `associate-*l/_binary64`
1×	`clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `pow-flip_binary64` `sqrt-prod_binary64`

Counts

4 → 196

Calls

4 calls:

6.0ms	(.f64 (.f64 v v) 5.0)
18.0ms	(/.f64 1 (/.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v)))))) PI.f64) (/.f64 (-.f64 1.0 (.f64 (.f64 v v) 5.0)) (-.f64 1.0 (.f64 v v)))))
10.0ms	(.f64 (.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (*.f64 v v)))))) PI.f64)
8.0ms	(.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v))))))

series325.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(.f64 (.f64 v v) 5.0)
78.0ms	(/.f64 1 (/.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v)))))) PI.f64) (/.f64 (-.f64 1.0 (.f64 (.f64 v v) 5.0)) (-.f64 1.0 (.f64 v v)))))
25.0ms	(.f64 (.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (*.f64 v v)))))) PI.f64)
217.0ms	(.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v))))))

simplify67.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4983	6189
1	4983	6189

prune297.0ms

Filtered

126 candidates to 208 candidates (-65.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	204	4	208
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	207	10	217

Merged error: 0.0b

Counts

217 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 v v) 5.0)
0.3b	(/.f64 1 (.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v)))))))
0.4b	(.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v))))))
0.4b	(.f64 (/.f64 1 (.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v))))))) (/.f64 (-.f64 1.0 (.f64 (.f64 v v) 5.0)) (.f64 PI.f64 (-.f64 1.0 (*.f64 v v)))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-exp-log_binary64`
52×	`add-cbrt-cube_binary64`
44×	`prod-exp_binary64`
30×	`div-exp_binary64`
20×	`cbrt-unprod_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`pow1_binary64` `associate-r_binary64`
15×	`associate-*r/_binary64`
14×	`cbrt-undiv_binary64`
13×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64`
9×	`times-frac_binary64`
8×	`1-exp_binary64` `rec-exp_binary64`
6×	`pow-prod-down_binary64` `associate-/r/_binary64` `sqrt-div_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`unswap-sqr_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`
2×	`pow-flip_binary64`
1×	`associate-/r_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `sqrt-prod_binary64` `frac-times_binary64` `associate-l/_binary64`

Counts

4 → 131

Calls

4 calls:

6.0ms	(.f64 (.f64 v v) 5.0)
9.0ms	(/.f64 1 (.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v)))))))
10.0ms	(.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v))))))
19.0ms	(.f64 (/.f64 1 (.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v))))))) (/.f64 (-.f64 1.0 (.f64 (.f64 v v) 5.0)) (.f64 PI.f64 (-.f64 1.0 (*.f64 v v)))))

series137.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(.f64 (.f64 v v) 5.0)
33.0ms	(/.f64 1 (.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v)))))))
23.0ms	(.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v))))))
78.0ms	(.f64 (/.f64 1 (.f64 t (sqrt.f64 (.f64 2.0 (-.f64 1.0 (.f64 3.0 (.f64 v v))))))) (/.f64 (-.f64 1.0 (.f64 (.f64 v v) 5.0)) (.f64 PI.f64 (-.f64 1.0 (*.f64 v v)))))

simplify46.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5084	2841

prune147.0ms

Filtered

82 candidates to 143 candidates (-74.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	137	6	143
Fresh	7	2	9
Picked	1	0	1
Done	0	0	0
Total	145	8	153

Merged error: 0b

Counts

153 → 8

regimes232.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	80	30
1	80	30

end0.0ms

sample652.0ms

Algorithm

intervals

Results

516.0ms	8000×	body	80	valid
1.0ms	9×	body	80	nan

Details

analyze109.0ms

sample27.0ms

simplify37.0ms

prune6.0ms

localize15.0ms

rewrite43.0ms

series84.0ms

simplify70.0ms

prune162.0ms

localize14.0ms

rewrite45.0ms

series103.0ms

simplify53.0ms

prune160.0ms

localize16.0ms

rewrite51.0ms

series325.0ms

simplify67.0ms

prune297.0ms

localize16.0ms

rewrite49.0ms

series137.0ms

simplify46.0ms

prune147.0ms

regimes232.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample652.0ms

Profiling