Details

analyze230.0ms

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%	99.9%	0.1%	4
0%	99.9%	0.1%	5
15.6%	84.3%	0.1%	6
37.5%	62.4%	0.1%	7
46.8%	53.1%	0.1%	8
57.8%	39.8%	2.4%	9
64.6%	30.4%	5%	10
71.8%	20.3%	7.9%	11
74.1%	16.2%	9.7%	12
77.4%	10.7%	12%	13
78.6%	8.4%	13%	14

sample21.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5167	21

prune3.0ms

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: 14.6b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (/.f64 PI.f64 2.0) (/.f64 1.0 (-.f64 (.f64 b b) (*.f64 a a))))
0.2b	(/.f64 1.0 (-.f64 (.f64 b b) (.f64 a a)))
4.1b	(-.f64 (.f64 b b) (.f64 a a))
9.8b	(.f64 (.f64 (/.f64 PI.f64 2.0) (/.f64 1.0 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1.0 a) (/.f64 1.0 b)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt_binary64`
47×	`times-frac_binary64`
39×	`*-un-lft-identity_binary64`
36×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
31×	`add-cube-cbrt_binary64`
30×	`associate-r_binary64`
14×	`associate-l_binary64` `frac-times_binary64`
13×	`cbrt-unprod_binary64` `prod-exp_binary64`
12×	`difference-of-squares_binary64`
11×	`pow1_binary64`
9×	`cbrt-undiv_binary64` `div-exp_binary64`
8×	`associate-r/_binary64` `associate-l/_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64`
5×	`distribute-lft-out--_binary64` `div-inv_binary64`
4×	`pow-prod-down_binary64` `associate-/r*_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `frac-sub_binary64`
3×	`sub-neg_binary64` `associate-/l*_binary64`
2×	`*-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 150

Calls

4 calls:

15.0ms	(.f64 (/.f64 PI.f64 2.0) (/.f64 1.0 (-.f64 (.f64 b b) (*.f64 a a))))
6.0ms	(/.f64 1.0 (-.f64 (.f64 b b) (.f64 a a)))
7.0ms	(-.f64 (.f64 b b) (.f64 a a))
25.0ms	(.f64 (.f64 (/.f64 PI.f64 2.0) (/.f64 1.0 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1.0 a) (/.f64 1.0 b)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(.f64 (/.f64 PI.f64 2.0) (/.f64 1.0 (-.f64 (.f64 b b) (*.f64 a a))))
12.0ms	(/.f64 1.0 (-.f64 (.f64 b b) (.f64 a a)))
5.0ms	(-.f64 (.f64 b b) (.f64 a a))
23.0ms	(.f64 (.f64 (/.f64 PI.f64 2.0) (/.f64 1.0 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1.0 a) (/.f64 1.0 b)))

simplify56.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5018	2608

prune195.0ms

Filtered

119 candidates to 162 candidates (-36.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	155	7	162
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	156	7	163

Merged error: 9.7b

Counts

163 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1.0 a) (/.f64 1.0 b))
0.2b	(*.f64 (/.f64 (/.f64 PI.f64 2.0) (+.f64 b a)) (/.f64 1.0 (-.f64 b a)))
0.3b	(/.f64 (/.f64 PI.f64 2.0) (+.f64 b a))
9.8b	(.f64 (.f64 (/.f64 (/.f64 PI.f64 2.0) (+.f64 b a)) (/.f64 1.0 (-.f64 b a))) (-.f64 (/.f64 1.0 a) (/.f64 1.0 b)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

229×	`times-frac_binary64`
185×	`*-un-lft-identity_binary64`
160×	`add-sqr-sqrt_binary64`
109×	`add-cube-cbrt_binary64`
59×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
33×	`associate-r_binary64`
27×	`distribute-lft-out_binary64`
21×	`cbrt-undiv_binary64` `div-exp_binary64`
19×	`cbrt-unprod_binary64` `prod-exp_binary64`
16×	`div-inv_binary64`
14×	`frac-times_binary64`
13×	`associate-/l*_binary64` `distribute-lft-out--_binary64`
11×	`pow1_binary64` `difference-of-squares_binary64`
8×	`associate-r/_binary64` `associate-l/_binary64`
6×	`add-log-exp_binary64` `flip3--_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `flip--_binary64`
5×	`frac-sub_binary64`
4×	`pow-prod-down_binary64` `associate-/r*_binary64`
3×	`sub-neg_binary64`
2×	`flip3-+_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`associate-/l/_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 270

Calls

4 calls:

13.0ms	(-.f64 (/.f64 1.0 a) (/.f64 1.0 b))
33.0ms	(*.f64 (/.f64 (/.f64 PI.f64 2.0) (+.f64 b a)) (/.f64 1.0 (-.f64 b a)))
8.0ms	(/.f64 (/.f64 PI.f64 2.0) (+.f64 b a))
31.0ms	(.f64 (.f64 (/.f64 (/.f64 PI.f64 2.0) (+.f64 b a)) (/.f64 1.0 (-.f64 b a))) (-.f64 (/.f64 1.0 a) (/.f64 1.0 b)))

series63.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(-.f64 (/.f64 1.0 a) (/.f64 1.0 b))
15.0ms	(*.f64 (/.f64 (/.f64 PI.f64 2.0) (+.f64 b a)) (/.f64 1.0 (-.f64 b a)))
16.0ms	(/.f64 (/.f64 PI.f64 2.0) (+.f64 b a))
28.0ms	(.f64 (.f64 (/.f64 (/.f64 PI.f64 2.0) (+.f64 b a)) (/.f64 1.0 (-.f64 b a))) (-.f64 (/.f64 1.0 a) (/.f64 1.0 b)))

simplify59.0ms

Algorithm

egg-herbie

Counts

282 → 282

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	6226	4402

prune314.0ms

Filtered

193 candidates to 282 candidates (-46.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	277	5	282
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	281	8	289

Merged error: 0.0b

Counts

289 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1.0 a) (/.f64 1.0 b))
0.2b	(.f64 (/.f64 (/.f64 PI.f64 2.0) (+.f64 b a)) (.f64 (/.f64 1.0 (-.f64 b a)) (-.f64 (/.f64 1.0 a) (/.f64 1.0 b))))
0.3b	(/.f64 (/.f64 PI.f64 2.0) (+.f64 b a))
0.3b	(*.f64 (/.f64 1.0 (-.f64 b a)) (-.f64 (/.f64 1.0 a) (/.f64 1.0 b)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

221×	`times-frac_binary64`
185×	`*-un-lft-identity_binary64`
144×	`add-sqr-sqrt_binary64`
109×	`add-cube-cbrt_binary64`
79×	`associate-l_binary64`
50×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
27×	`distribute-lft-out_binary64`
17×	`cbrt-unprod_binary64` `prod-exp_binary64`
16×	`cbrt-undiv_binary64` `associate-*r/_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64`
13×	`associate-r_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64`
11×	`pow1_binary64` `difference-of-squares_binary64`
8×	`flip3--_binary64` `flip--_binary64`
7×	`sub-neg_binary64` `frac-sub_binary64`
6×	`add-log-exp_binary64` `associate-/r/_binary64`
5×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `associate-/r_binary64` `associate-l/_binary64`
2×	`flip3-+_binary64` `unswap-sqr_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`associate-/l/_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 270

Calls

4 calls:

15.0ms	(-.f64 (/.f64 1.0 a) (/.f64 1.0 b))
34.0ms	(.f64 (/.f64 (/.f64 PI.f64 2.0) (+.f64 b a)) (.f64 (/.f64 1.0 (-.f64 b a)) (-.f64 (/.f64 1.0 a) (/.f64 1.0 b))))
8.0ms	(/.f64 (/.f64 PI.f64 2.0) (+.f64 b a))
27.0ms	(*.f64 (/.f64 1.0 (-.f64 b a)) (-.f64 (/.f64 1.0 a) (/.f64 1.0 b)))

series53.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(-.f64 (/.f64 1.0 a) (/.f64 1.0 b))
24.0ms	(.f64 (/.f64 (/.f64 PI.f64 2.0) (+.f64 b a)) (.f64 (/.f64 1.0 (-.f64 b a)) (-.f64 (/.f64 1.0 a) (/.f64 1.0 b))))
16.0ms	(/.f64 (/.f64 PI.f64 2.0) (+.f64 b a))
9.0ms	(*.f64 (/.f64 1.0 (-.f64 b a)) (-.f64 (/.f64 1.0 a) (/.f64 1.0 b)))

simplify74.0ms

Algorithm

egg-herbie

Counts

282 → 282

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4993	4799
1	4993	4799

prune316.0ms

Filtered

198 candidates to 282 candidates (-42.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	280	2	282
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	282	8	290

Merged error: 0b

Counts

290 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b	(.f64 (/.f64 (/.f64 PI.f64 2.0) (+.f64 b a)) (/.f64 1.0 (.f64 b a)))
0.3b	(/.f64 (/.f64 PI.f64 2.0) (+.f64 b a))
0.3b	(/.f64 1.0 (*.f64 b a))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

194×	`times-frac_binary64`
152×	`*-un-lft-identity_binary64`
107×	`add-sqr-sqrt_binary64`
98×	`add-cube-cbrt_binary64`
58×	`associate-l_binary64`
49×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
27×	`distribute-lft-out_binary64`
20×	`cbrt-undiv_binary64` `div-exp_binary64`
16×	`associate-/l*_binary64`
13×	`cbrt-unprod_binary64` `prod-exp_binary64` `div-inv_binary64`
7×	`associate-r_binary64`
5×	`associate-/r*_binary64` `pow1_binary64`
4×	`associate-/r/_binary64`
3×	`add-log-exp_binary64` `unswap-sqr_binary64`
2×	`flip3-+_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 205

Calls

3 calls:

22.0ms	(.f64 (/.f64 (/.f64 PI.f64 2.0) (+.f64 b a)) (/.f64 1.0 (.f64 b a)))
8.0ms	(/.f64 (/.f64 PI.f64 2.0) (+.f64 b a))
5.0ms	(/.f64 1.0 (*.f64 b a))

series42.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(.f64 (/.f64 (/.f64 PI.f64 2.0) (+.f64 b a)) (/.f64 1.0 (.f64 b a)))
19.0ms	(/.f64 (/.f64 PI.f64 2.0) (+.f64 b a))
4.0ms	(/.f64 1.0 (*.f64 b a))

simplify62.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5018	2765

prune176.0ms

Filtered

145 candidates to 214 candidates (-47.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	212	2	214
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	214	8	222

Merged error: 0b

Counts

222 → 8

regimes103.0ms

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	43	21
1	43	21

end0.0ms

sample597.0ms

Algorithm

intervals

Results

442.0ms	8000×	body	80	valid
20.0ms	366×	body	80	invalid

Details

analyze230.0ms

sample21.0ms

simplify18.0ms

prune3.0ms

localize13.0ms

rewrite58.0ms

series54.0ms

simplify56.0ms

prune195.0ms

localize13.0ms

rewrite100.0ms

series63.0ms

simplify59.0ms

prune314.0ms

localize13.0ms

rewrite98.0ms

series53.0ms

simplify74.0ms

prune316.0ms

localize8.0ms

rewrite45.0ms

series42.0ms

simplify62.0ms

prune176.0ms

regimes103.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample597.0ms

Profiling