Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample91.0ms

Algorithm

intervals

Results

55.0ms	129×	body	1024	valid
16.0ms	74×	body	512	valid
10.0ms	16×	body	2048	valid
2.0ms	20×	body	256	valid
1.0ms	17×	body	128	valid

simplify227.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (221.0ms)

Iter	Nodes	Cost
0	4005	15
1	4005	15

prune3.0ms

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: 59.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
5.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
30×	`log-prod_binary64`
25×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
7×	`add-exp-log_binary64`
6×	`associate-/r*_binary64`
4×	`add-cbrt-cube_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `flip3--_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip-+_binary64`

Counts

2 → 91

Calls

2 calls:

9.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
9.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
54.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

simplify85.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5249	1898

prune78.0ms

Filtered

59 candidates to 97 candidates (-64.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	2	98

Merged error: 0.0b

Counts

98 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 (pow.f64 x 3) 2/3)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
15×	`associate-l_binary64`
13×	`add-exp-log_binary64`
10×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
8×	`unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`prod-exp_binary64`
5×	`add-log-exp_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`pow1_binary64`
2×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`

Counts

3 → 67

Calls

3 calls:

6.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
8.0ms	(*.f64 2/5 (pow.f64 x 5))
6.0ms	(*.f64 (pow.f64 x 3) 2/3)

series294.0ms

Counts

3 → 9

Calls

3 calls:

190.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
58.0ms	(*.f64 2/5 (pow.f64 x 5))
46.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify60.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4990	898
1	4990	898

prune64.0ms

Filtered

50 candidates to 76 candidates (-52.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	76	2	78

Merged error: 0.0b

Counts

78 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
4.8b	(log.f64 (+.f64 1 x))
5.1b	(log.f64 (-.f64 1 x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
20×	`log-prod_binary64`
15×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64`
8×	`log-div_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate--r+_binary64` `log-pow_binary64` `distribute-lft-out--_binary64`
5×	`add-exp-log_binary64` `difference-of-squares_binary64`
4×	`associate--l+_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate--l-_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `rem-log-exp_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

3 → 62

Calls

3 calls:

11.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
3.0ms	(log.f64 (+.f64 1 x))
4.0ms	(log.f64 (-.f64 1 x))

series118.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
21.0ms	(log.f64 (+.f64 1 x))
29.0ms	(log.f64 (-.f64 1 x))

simplify57.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4929	1057
1	4929	1057

prune57.0ms

Filtered

53 candidates to 71 candidates (-34.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	71	2	73

Merged error: 0b

Counts

73 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (log.f64 (-.f64 1 x)) 3)
0.1b	(cbrt.f64 (pow.f64 (log.f64 (-.f64 1 x)) 3))
4.8b	(log.f64 (+.f64 1 x))
5.1b	(log.f64 (-.f64 1 x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`cbrt-prod_binary64`
12×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`log-prod_binary64`
8×	`unpow-prod-down_binary64` `cube-prod_binary64`
7×	`add-exp-log_binary64`
6×	`log-pow_binary64`
5×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `log-div_binary64`
3×	`pow-unpow_binary64`
2×	`rem-log-exp_binary64` `sqr-pow_binary64` `difference-of-squares_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `rem-cbrt-cube_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `flip-+_binary64` `pow-exp_binary64`

Counts

4 → 80

Calls

4 calls:

3.0ms	(pow.f64 (log.f64 (-.f64 1 x)) 3)
3.0ms	(cbrt.f64 (pow.f64 (log.f64 (-.f64 1 x)) 3))
3.0ms	(log.f64 (+.f64 1 x))
4.0ms	(log.f64 (-.f64 1 x))

series155.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(pow.f64 (log.f64 (-.f64 1 x)) 3)
23.0ms	(cbrt.f64 (pow.f64 (log.f64 (-.f64 1 x)) 3))
26.0ms	(log.f64 (+.f64 1 x))
26.0ms	(log.f64 (-.f64 1 x))

simplify70.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5212	1283

prune66.0ms

Filtered

57 candidates to 92 candidates (-61.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	92	2	94

Merged error: 0b

Counts

94 → 2

regimes10.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	25
1	20	25

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.6s	4024×	body	1024	valid
427.0ms	1970×	body	512	valid
222.0ms	385×	body	2048	valid
128.0ms	1028×	body	256	valid
34.0ms	593×	body	128	valid

Details

analyze5.0ms

sample91.0ms

simplify227.0ms

prune3.0ms

localize7.0ms

rewrite27.0ms

series85.0ms

simplify85.0ms

prune78.0ms

localize11.0ms

rewrite26.0ms

series294.0ms

simplify60.0ms

prune64.0ms

localize7.0ms

rewrite23.0ms

series118.0ms

simplify57.0ms

prune57.0ms

localize10.0ms

rewrite20.0ms

series155.0ms

simplify70.0ms

prune66.0ms

regimes10.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.5s

Profiling