Details

analyze4.0ms

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

sample95.0ms

Algorithm

intervals

Results

54.0ms	107×	body	1280	valid
26.0ms	92×	body	640	valid
6.0ms	32×	body	320	valid
2.0ms	18×	body	160	valid
0.0ms	7×	body	80	valid

simplify191.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (188.0ms)

Iter	Nodes	Cost
0	4004	10
1	4004	10

prune8.0ms

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: 58.5b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
5.6b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite20.0ms

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:

8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
6.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

simplify52.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5197	1239

prune76.0ms

Filtered

59 candidates to 97 candidates (-64.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	5	98

Merged error: 0.0b

Counts

98 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
15×	`associate-l_binary64`
13×	`add-exp-log_binary64`
12×	`add-log-exp_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` `sum-log_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` `associate-+r+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

3 → 70

Calls

3 calls:

13.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 x x)))
6.0ms	(*.f64 2/5 (pow.f64 x 5))
6.0ms	(*.f64 (pow.f64 x 3) 2/3)

series17.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 x x)))
6.0ms	(*.f64 2/5 (pow.f64 x 5))
4.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify40.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5184	727

prune59.0ms

Filtered

51 candidates to 79 candidates (-54.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	79	5	84

Merged error: 0.0b

Counts

84 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
13×	`add-exp-log_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`associate-l_binary64` `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 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))
6.0ms	(*.f64 2/5 (pow.f64 x 5))
7.0ms	(*.f64 2/3 (pow.f64 x 3))

series24.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))
6.0ms	(*.f64 2/5 (pow.f64 x 5))
4.0ms	(*.f64 2/3 (pow.f64 x 3))

simplify46.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4983	590
1	4983	590

prune49.0ms

Filtered

48 candidates to 76 candidates (-58.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	76	5	81

Merged error: 0.0b

Counts

81 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
5.6b	(log.f64 (-.f64 1 x))
5.7b	(log.f64 (+.f64 1 x))

rewrite21.0ms

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:

10.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
5.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

series12.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
3.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

simplify82.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4881	681
1	4881	681

prune41.0ms

Filtered

53 candidates to 71 candidates (-34.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	72	4	76

Merged error: 0.0b

Counts

76 → 4

regimes18.0ms

Accuracy

0% (0.2b 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	19	17
1	19	17

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.7s	3367×	body	1280	valid
729.0ms	2531×	body	640	valid
408.0ms	1237×	body	320	valid
71.0ms	627×	body	160	valid
13.0ms	238×	body	80	valid

Details

analyze4.0ms

sample95.0ms

simplify191.0ms

prune8.0ms

localize7.0ms

rewrite20.0ms

series9.0ms

simplify52.0ms

prune76.0ms

localize10.0ms

rewrite27.0ms

series17.0ms

simplify40.0ms

prune59.0ms

localize10.0ms

rewrite21.0ms

series24.0ms

simplify46.0ms

prune49.0ms

localize7.0ms

rewrite21.0ms

series12.0ms

simplify82.0ms

prune41.0ms

regimes18.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.0s

Profiling