Details

analyze107.0ms

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

sample23.0ms

Algorithm

intervals

Results

16.0ms	256×	body	128	valid
0.0ms	1×	body	128	nan

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4986	40
1	4986	40

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.4b

Counts

2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 3 (.f64 v v))
0.3b	(*.f64 PI.f64 t)
0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
0.4b	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

rewrite53.0ms

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 3 (.f64 v v))
4.0ms	(*.f64 PI.f64 t)
19.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
13.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

series617.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(.f64 3 (.f64 v v))
25.0ms	(*.f64 PI.f64 t)
375.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
182.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

simplify72.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4984	2803
1	4984	2803

prune151.0ms

Filtered

72 candidates to 106 candidates (-47.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	97	9	106
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	99	9	108

Merged error: 0.1b

Counts

108 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 3 (.f64 v v))
0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
0.4b	(.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))
0.5b	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))

rewrite56.0ms

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:

6.0ms	(.f64 3 (.f64 v v))
19.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
10.0ms	(.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))
9.0ms	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))

series747.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(.f64 3 (.f64 v v))
360.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
193.0ms	(.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))
159.0ms	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))

simplify86.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4956	3124
1	4956	3124

prune153.0ms

Filtered

79 candidates to 108 candidates (-36.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	108	9	117

Merged error: 0.1b

Counts

117 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 3 (.f64 v v))
0.3b	(*.f64 PI.f64 t)
0.3b	(/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))
0.4b	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

6.0ms	(.f64 3 (.f64 v v))
4.0ms	(*.f64 PI.f64 t)
15.0ms	(/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))
11.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

series511.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(.f64 3 (.f64 v v))
24.0ms	(*.f64 PI.f64 t)
274.0ms	(/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))
176.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

simplify62.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5363	2370

prune149.0ms

Filtered

67 candidates to 103 candidates (-53.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	104	8	112

Merged error: 0.0b

Counts

112 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 3 (.f64 v v))
0.3b	(*.f64 PI.f64 t)
0.3b	(/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (*.f64 PI.f64 t))
0.4b	(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (.f64 PI.f64 t)) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac_binary64`
40×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
32×	`sqrt-prod_binary64`
25×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-/l*_binary64`
11×	`pow1_binary64`
7×	`cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64`
6×	`cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
5×	`associate-/r*_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-r_binary64` `sqrt-div_binary64`
3×	`associate-/l/_binary64`
2×	`flip3--_binary64` `associate-r/_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `-commutative_binary64`

Counts

4 → 139

Calls

4 calls:

6.0ms	(.f64 3 (.f64 v v))
4.0ms	(*.f64 PI.f64 t)
8.0ms	(/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (*.f64 PI.f64 t))
15.0ms	(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (.f64 PI.f64 t)) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))

series484.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(.f64 3 (.f64 v v))
27.0ms	(*.f64 PI.f64 t)
139.0ms	(/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (*.f64 PI.f64 t))
284.0ms	(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (.f64 PI.f64 t)) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))

simplify84.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4962	5132
1	4962	5132

prune282.0ms

Filtered

108 candidates to 151 candidates (-39.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	148	3	151
Fresh	4	1	5
Picked	0	1	1
Done	1	1	2
Total	153	6	159

Merged error: 0b

Counts

159 → 6

regimes110.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	82	64
1	82	64

end0.0ms

sample660.0ms

Algorithm

intervals

Results

514.0ms	8000×	body	128	valid
1.0ms	9×	body	128	nan
0.0ms	1×	body	128	invalid

Details

analyze107.0ms

sample23.0ms

simplify50.0ms

prune5.0ms

localize16.0ms

rewrite53.0ms

series617.0ms

simplify72.0ms

prune151.0ms

localize16.0ms

rewrite56.0ms

series747.0ms

simplify86.0ms

prune153.0ms

localize18.0ms

rewrite47.0ms

series511.0ms

simplify62.0ms

prune149.0ms

localize21.0ms

rewrite53.0ms

series484.0ms

simplify84.0ms

prune282.0ms

regimes110.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample660.0ms

Profiling