Details

analyze131.0ms

Algorithm

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
0%	6.2%	93.8%	3
3.1%	3.1%	93.8%	4
3.1%	3.1%	93.8%	5
4.7%	1.6%	93.8%	6
4.7%	1.6%	93.8%	7
5.5%	0.8%	93.8%	8
5.5%	0.8%	93.8%	9
5.8%	0.4%	93.8%	10
5.8%	0.4%	93.8%	11
6%	0.2%	93.8%	12
6%	0.2%	93.8%	13
6.1%	0.1%	93.8%	14

sample42.0ms

Algorithm

intervals

Results

25.0ms	256×	body	80	valid
7.0ms	256×	pre	80	true

simplify495.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4872	19
1	4872	19

prune22.0ms

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: 0.3b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 (/.f64 1.0 6.0) (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5)) (cos.f64 (.f64 (*.f64 2.0 PI.f64) u2))) 0.5)
0.1b	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
0.3b	(.f64 (.f64 2.0 PI.f64) u2)
0.4b	(.f64 (/.f64 1.0 6.0) (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log_binary64`
22×	`add-sqr-sqrt_binary64`
14×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64` `prod-exp_binary64`
12×	`pow1_binary64`
11×	`times-frac_binary64`
8×	`associate-r_binary64`
6×	`add-log-exp_binary64` `pow-exp_binary64`
5×	`cbrt-unprod_binary64`
4×	`pow-prod-down_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `div-exp_binary64`
3×	`pow-to-exp_binary64` `pow-unpow_binary64`
2×	`pow-pow_binary64` `unpow-prod-down_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-*l/_binary64` `sum-log_binary64`

Counts

4 → 87

Calls

4 calls:

11.0ms	(+.f64 (.f64 (.f64 (/.f64 1.0 6.0) (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5)) (cos.f64 (.f64 (*.f64 2.0 PI.f64) u2))) 0.5)
4.0ms	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
5.0ms	(.f64 (.f64 2.0 PI.f64) u2)
11.0ms	(.f64 (/.f64 1.0 6.0) (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5))

series270.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(+.f64 (.f64 (.f64 (/.f64 1.0 6.0) (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5)) (cos.f64 (.f64 (*.f64 2.0 PI.f64) u2))) 0.5)
35.0ms	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
5.0ms	(.f64 (.f64 2.0 PI.f64) u2)
125.0ms	(.f64 (/.f64 1.0 6.0) (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5))

simplify65.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4957	1191
1	4957	1191

prune153.0ms

Filtered

70 candidates to 99 candidates (-41.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	90	9	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	9	100

Merged error: 0b

Counts

100 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 1.0 (/.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) 6.0)) (cos.f64 (.f64 (*.f64 2.0 PI.f64) u2))) 0.5)
0.1b	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
0.3b	(/.f64 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5) 6.0)
0.3b	(.f64 (.f64 2.0 PI.f64) u2)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
12×	`pow1_binary64`
11×	`add-cbrt-cube_binary64`
6×	`add-log-exp_binary64`
5×	`sqr-pow_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `associate-/l*_binary64`
4×	`pow-prod-down_binary64` `div-exp_binary64` `pow-exp_binary64`
3×	`pow-unpow_binary64` `associate-/r_binary64` `cbrt-unprod_binary64` `associate-r*_binary64`
2×	`pow-to-exp_binary64` `pow-pow_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 84

Calls

4 calls:

10.0ms	(+.f64 (.f64 (.f64 1.0 (/.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) 6.0)) (cos.f64 (.f64 (*.f64 2.0 PI.f64) u2))) 0.5)
4.0ms	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
5.0ms	(/.f64 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5) 6.0)
5.0ms	(.f64 (.f64 2.0 PI.f64) u2)

series258.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(+.f64 (.f64 (.f64 1.0 (/.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) 6.0)) (cos.f64 (.f64 (*.f64 2.0 PI.f64) u2))) 0.5)
34.0ms	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
113.0ms	(/.f64 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5) 6.0)
7.0ms	(.f64 (.f64 2.0 PI.f64) u2)

simplify67.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4954	1169
1	4954	1169

prune137.0ms

Filtered

68 candidates to 96 candidates (-41.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	98	7	105

Merged error: 0b

Counts

105 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
0.2b	(.f64 (sqrt.f64 (/.f64 1.0 6.0)) (.f64 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5) (sqrt.f64 (/.f64 1.0 6.0))))
0.3b	(.f64 (.f64 2.0 PI.f64) u2)
0.3b	(.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) (sqrt.f64 (/.f64 1.0 6.0)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log_binary64` `add-sqr-sqrt_binary64`
30×	`sqrt-prod_binary64`
23×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
22×	`associate-l_binary64`
20×	`associate-r_binary64` `times-frac_binary64`
19×	`prod-exp_binary64`
16×	`add-cbrt-cube_binary64`
14×	`pow1_binary64`
7×	`cbrt-unprod_binary64`
6×	`unswap-sqr_binary64` `pow-exp_binary64`
5×	`pow-prod-down_binary64` `sqr-pow_binary64` `sqrt-div_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`pow-to-exp_binary64` `pow-unpow_binary64` `*-commutative_binary64`
2×	`pow-pow_binary64` `unpow-prod-down_binary64` `div-inv_binary64`
1×	`frac-times_binary64` `associate-*l/_binary64`

Counts

4 → 112

Calls

4 calls:

4.0ms	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
13.0ms	(.f64 (sqrt.f64 (/.f64 1.0 6.0)) (.f64 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5) (sqrt.f64 (/.f64 1.0 6.0))))
5.0ms	(.f64 (.f64 2.0 PI.f64) u2)
10.0ms	(.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) (sqrt.f64 (/.f64 1.0 6.0)))

series277.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
119.0ms	(.f64 (sqrt.f64 (/.f64 1.0 6.0)) (.f64 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5) (sqrt.f64 (/.f64 1.0 6.0))))
5.0ms	(.f64 (.f64 2.0 PI.f64) u2)
118.0ms	(.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) (sqrt.f64 (/.f64 1.0 6.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4994	1409
1	4994	1409

prune172.0ms

Filtered

84 candidates to 124 candidates (-47.6%)

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: 0b

Counts

131 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
0.2b	(/.f64 1 (/.f64 6.0 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)))
0.3b	(/.f64 6.0 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5))
0.3b	(.f64 (.f64 2.0 PI.f64) u2)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac_binary64`
72×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
52×	`add-exp-log_binary64`
26×	`div-exp_binary64`
24×	`associate-/r*_binary64`
17×	`sqr-pow_binary64` `unpow-prod-down_binary64`
16×	`add-cbrt-cube_binary64`
13×	`pow1_binary64`
10×	`pow-exp_binary64`
8×	`prod-exp_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`pow-to-exp_binary64` `1-exp_binary64` `rec-exp_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64`
3×	`pow-unpow_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
2×	`pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/r/_binary64` `associate-l_binary64` `inv-pow_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

4 → 182

Calls

4 calls:

4.0ms	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
8.0ms	(/.f64 1 (/.f64 6.0 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)))
5.0ms	(/.f64 6.0 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5))
6.0ms	(.f64 (.f64 2.0 PI.f64) u2)

series301.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
113.0ms	(/.f64 1 (/.f64 6.0 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)))
148.0ms	(/.f64 6.0 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5))
5.0ms	(.f64 (.f64 2.0 PI.f64) u2)

simplify65.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5466	2541

prune229.0ms

Filtered

120 candidates to 194 candidates (-61.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	194	6	200

Merged error: 0b

Counts

200 → 6

regimes324.0ms

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	27	25
1	27	25

end0.0ms

sample1.1s

Algorithm

intervals

Results

783.0ms	8000×	body	80	valid
189.0ms	8000×	pre	80	true

Details

analyze131.0ms

sample42.0ms

simplify495.0ms

prune22.0ms

localize19.0ms

rewrite35.0ms

series270.0ms

simplify65.0ms

prune153.0ms

localize16.0ms

rewrite28.0ms

series258.0ms

simplify67.0ms

prune137.0ms

localize20.0ms

rewrite39.0ms

series277.0ms

simplify52.0ms

prune172.0ms

localize18.0ms

rewrite31.0ms

series301.0ms

simplify65.0ms

prune229.0ms

regimes324.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling