Details

analyze329.0ms

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

sample49.0ms

Algorithm

intervals

Results

27.0ms	256×	body	128	valid
11.0ms	256×	pre	128	true

simplify316.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (152.0ms)

Iter	Nodes	Cost
0	5643	26

prune13.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.4b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
0.2b	(.f64 (.f64 2 PI.f64) u2)
0.3b	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
6×	`add-log-exp_binary64`
5×	`pow-prod-down_binary64`
4×	`cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`sqrt-pow1_binary64` `sqrt-prod_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `pow1/2_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 59

Calls

4 calls:

4.0ms	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
3.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
5.0ms	(.f64 (.f64 2 PI.f64) u2)
8.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))

series584.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
129.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
37.0ms	(.f64 (.f64 2 PI.f64) u2)
176.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))

simplify70.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4905	1090
1	4905	1090

prune86.0ms

Filtered

47 candidates to 71 candidates (-51.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	61	10	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	10	72

Merged error: 0.0b

Counts

72 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (neg.f64 (log.f64 u1)))
0.2b	(.f64 (.f64 2 PI.f64) u2)
0.3b	(.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 2 PI.f64) u2)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))))
0.5b	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

31×	`sqrt-prod_binary64`
27×	`pow1_binary64`
24×	`add-sqr-sqrt_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`associate-l_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`pow-prod-down_binary64`
10×	`cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
8×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
4×	`add-log-exp_binary64` `log-pow_binary64` `unswap-sqr_binary64`
3×	`pow1/2_binary64` `sqrt-pow1_binary64` `*-commutative_binary64`
2×	`neg-mul-1_binary64`
1×	`sqrt-unprod_binary64` `rem-sqrt-square_binary64`

Counts

4 → 100

Calls

4 calls:

3.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
5.0ms	(.f64 (.f64 2 PI.f64) u2)
12.0ms	(.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 2 PI.f64) u2)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))))
9.0ms	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))

series569.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
36.0ms	(.f64 (.f64 2 PI.f64) u2)
243.0ms	(.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 2 PI.f64) u2)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))))
175.0ms	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))

simplify48.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4975	1752
1	4975	1752

prune102.0ms

Filtered

68 candidates to 112 candidates (-64.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	112	10	122

Merged error: 0.0b

Counts

122 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (*.f64 PI.f64 u2) 3)
0.2b	(*.f64 PI.f64 u2)
0.3b	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
40.9b	(cbrt.f64 (.f64 8 (pow.f64 (.f64 PI.f64 u2) 3)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`pow-pow_binary64` `unswap-sqr_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `pow1/3_binary64` `sqr-pow_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `sqrt-prod_binary64` `cbrt-prod_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 68

Calls

4 calls:

4.0ms	(pow.f64 (*.f64 PI.f64 u2) 3)
4.0ms	(*.f64 PI.f64 u2)
9.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
4.0ms	(cbrt.f64 (.f64 8 (pow.f64 (.f64 PI.f64 u2) 3)))

series300.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(pow.f64 (*.f64 PI.f64 u2) 3)
24.0ms	(*.f64 PI.f64 u2)
173.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
48.0ms	(cbrt.f64 (.f64 8 (pow.f64 (.f64 PI.f64 u2) 3)))

simplify48.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5335	797

prune80.0ms

Filtered

52 candidates to 80 candidates (-53.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	81	9	90

Merged error: 0.0b

Counts

90 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
0.2b	(.f64 (.f64 2 PI.f64) u2)
0.3b	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
0.3b	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1_binary64`
19×	`pow-prod-down_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`sqrt-pow1_binary64`
11×	`associate-l_binary64`
10×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
9×	`sqrt-prod_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`pow1/2_binary64`
4×	`add-log-exp_binary64`
3×	`sqrt-unprod_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64`

Counts

4 → 81

Calls

4 calls:

2.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
5.0ms	(.f64 (.f64 2 PI.f64) u2)
8.0ms	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
11.0ms	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))

series545.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
36.0ms	(.f64 (.f64 2 PI.f64) u2)
164.0ms	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
209.0ms	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))

simplify72.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4951	1122
1	4951	1122

prune85.0ms

Filtered

60 candidates to 93 candidates (-55.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	94	8	102

Merged error: 0.0b

Counts

102 → 8

regimes144.0ms

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	31	30
1	31	30

end0.0ms

sample1.2s

Algorithm

intervals

Results

854.0ms	8000×	body	128	valid
190.0ms	8000×	pre	128	true

Details

analyze329.0ms

sample49.0ms

simplify316.0ms

prune13.0ms

localize14.0ms

rewrite26.0ms

series584.0ms

simplify70.0ms

prune86.0ms

localize17.0ms

rewrite38.0ms

series569.0ms

simplify48.0ms

prune102.0ms

localize15.0ms

rewrite25.0ms

series300.0ms

simplify48.0ms

prune80.0ms

localize17.0ms

rewrite34.0ms

series545.0ms

simplify72.0ms

prune85.0ms

regimes144.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling