Details

analyze111.0ms

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

sample29.0ms

Algorithm

intervals

Results

17.0ms

256×

body

128

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 5 (.f64 v v))
0.2b	(*.f64 PI.f64 t)
0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
0.4b	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`pow1_binary64`
16×	`cbrt-unprod_binary64` `associate-*r/_binary64` `prod-exp_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`associate-l_binary64` `sqrt-div_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow-prod-down_binary64`
8×	`associate-/r/_binary64` `frac-times_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-exp_binary64` `associate-*l/_binary64`
3×	`associate-/l_binary64` `times-frac_binary64` `sqrt-prod_binary64` `-commutative_binary64`
2×	`associate-/l/_binary64` `unswap-sqr_binary64`
1×	`associate-/r*_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

4 → 109

Calls

4 calls:

10.0ms	(.f64 5 (.f64 v v))
4.0ms	(*.f64 PI.f64 t)
17.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
13.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))

series631.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(.f64 5 (.f64 v v))
27.0ms	(*.f64 PI.f64 t)
315.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
254.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))

simplify87.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4961	3590
1	4961	3590

prune173.0ms

Filtered

84 candidates to 121 candidates (-44.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	114	7	121
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	116	7	123

Merged error: 0.0b

Counts

123 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (.f64 PI.f64 t) (neg.f64 (.f64 v v))))
0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 PI.f64 t)) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (.f64 PI.f64 t) (neg.f64 (.f64 v v))))))
0.4b	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 PI.f64 t))
7.7b	(.f64 (.f64 PI.f64 t) (neg.f64 (*.f64 v v)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
23×	`pow1_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
12×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `times-frac_binary64` `sqrt-div_binary64` `associate-*l/_binary64`
8×	`associate-r_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`associate-/r/_binary64` `sqrt-prod_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `frac-add_binary64`
3×	`distribute-rgt-neg-out_binary64` `associate-/l_binary64` `-commutative_binary64`
2×	`associate-/l/_binary64`
1×	`flip3--_binary64` `cbrt-undiv_binary64` `neg-mul-1_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`

Counts

4 → 112

Calls

4 calls:

15.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (.f64 PI.f64 t) (neg.f64 (.f64 v v))))
16.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 PI.f64 t)) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (.f64 PI.f64 t) (neg.f64 (.f64 v v))))))
8.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 PI.f64 t))
6.0ms	(.f64 (.f64 PI.f64 t) (neg.f64 (*.f64 v v)))

series860.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (.f64 PI.f64 t) (neg.f64 (.f64 v v))))
416.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 PI.f64 t)) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (.f64 PI.f64 t) (neg.f64 (.f64 v v))))))
156.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 PI.f64 t))
70.0ms	(.f64 (.f64 PI.f64 t) (neg.f64 (*.f64 v v)))

simplify102.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4966	4467
1	4966	4467

prune210.0ms

Filtered

96 candidates to 124 candidates (-29.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	125	6	131

Merged error: 0.0b

Counts

131 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 v v) 5)
0.2b	(*.f64 PI.f64 t)
0.4b	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
1.0b	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 156

Calls

4 calls:

6.0ms	(.f64 (.f64 v v) 5)
4.0ms	(*.f64 PI.f64 t)
21.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
8.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))

series489.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(.f64 (.f64 v v) 5)
25.0ms	(*.f64 PI.f64 t)
307.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
122.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))

simplify130.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4957	6117
1	4957	6117

prune223.0ms

Filtered

113 candidates to 168 candidates (-48.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	166	2	168
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	167	7	174

Merged error: 0b

Counts

174 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 PI.f64 t)
0.3b	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
0.4b	(.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
1.0b	(/.f64 1 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log_binary64`
52×	`add-sqr-sqrt_binary64`
49×	`add-cbrt-cube_binary64`
46×	`times-frac_binary64`
40×	`*-un-lft-identity_binary64`
38×	`add-cube-cbrt_binary64`
27×	`associate-l_binary64`
25×	`prod-exp_binary64`
23×	`sqrt-prod_binary64`
18×	`cbrt-unprod_binary64`
17×	`div-exp_binary64`
14×	`cbrt-undiv_binary64`
12×	`associate-r_binary64`
10×	`pow1_binary64`
8×	`associate-/r/_binary64`
7×	`associate-/r*_binary64`
6×	`unswap-sqr_binary64` `associate-/l*_binary64`
5×	`associate-*r/_binary64` `rec-exp_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64` `sqrt-div_binary64`
3×	`flip3--_binary64` `flip--_binary64` `pow-flip_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `div-sub_binary64` `inv-pow_binary64` `frac-times_binary64` `associate-*l/_binary64`

Counts

4 → 162

Calls

4 calls:

4.0ms	(*.f64 PI.f64 t)
11.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
27.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
7.0ms	(/.f64 1 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))

series536.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(*.f64 PI.f64 t)
131.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
306.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
71.0ms	(/.f64 1 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))

simplify115.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4941	5578
1	4941	5578

prune193.0ms

Filtered

107 candidates to 174 candidates (-62.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	173	1	174
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	175	6	181

Merged error: 0b

Counts

181 → 6

regimes58.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	40
1	62	40

end0.0ms

sample660.0ms

Algorithm

intervals

Results

512.0ms	8000×	body	128	valid
1.0ms	12×	body	128	nan

Details

analyze111.0ms

sample29.0ms

simplify52.0ms

prune5.0ms

localize15.0ms

rewrite58.0ms

series631.0ms

simplify87.0ms

prune173.0ms

localize17.0ms

rewrite63.0ms

series860.0ms

simplify102.0ms

prune210.0ms

localize16.0ms

rewrite60.0ms

series489.0ms

simplify130.0ms

prune223.0ms

localize16.0ms

rewrite70.0ms

series536.0ms

simplify115.0ms

prune193.0ms

regimes58.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample660.0ms

Profiling