Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
75%	25%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample8.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

prune9.0ms

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: 0.0b

Counts

2 → 1

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x 1/3)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 12

Calls

1 calls:

3.0ms

(+.f64 x 1/3)

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(+.f64 x 1/3)

simplify86.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4807	70
1	4807	70

prune9.0ms

Filtered

10 candidates to 15 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0.0b

Counts

16 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (+.f64 x 1/3))
0.0b	(+.f64 x 1/3)
1.4b	(exp.f64 (log.f64 (+.f64 x 1/3)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
8×	`log-prod_binary64`
6×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`add-exp-log_binary64` `exp-sum_binary64` `log-div_binary64` `exp-prod_binary64`
3×	`flip3-+_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
2×	`log-pow_binary64` `exp-diff_binary64`
1×	`rem-log-exp_binary64` `rem-exp-log_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 45

Calls

3 calls:

3.0ms	(log.f64 (+.f64 x 1/3))
3.0ms	(+.f64 x 1/3)
5.0ms	(exp.f64 (log.f64 (+.f64 x 1/3)))

series7.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(log.f64 (+.f64 x 1/3))
2.0ms	(+.f64 x 1/3)
2.0ms	(exp.f64 (log.f64 (+.f64 x 1/3)))

simplify50.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4927	309
1	4927	309

prune24.0ms

Filtered

34 candidates to 54 candidates (-58.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	54	3	57

Merged error: 0b

Counts

57 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x 1/3)
0.0b	(+.f64 1/9 (*.f64 x (-.f64 x 1/3)))
0.2b	(*.f64 x (-.f64 x 1/3))
20.8b	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64`
21×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
8×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64`
5×	`sub-neg_binary64` `associate-r_binary64`
4×	`distribute-lft-out_binary64` `associate-/l*_binary64`
3×	`flip3-+_binary64` `associate-/r_binary64` `associate-l*_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 85

Calls

4 calls:

4.0ms	(-.f64 x 1/3)
4.0ms	(+.f64 1/9 (*.f64 x (-.f64 x 1/3)))
7.0ms	(*.f64 x (-.f64 x 1/3))
10.0ms	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))

series22.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(-.f64 x 1/3)
3.0ms	(+.f64 1/9 (*.f64 x (-.f64 x 1/3)))
4.0ms	(*.f64 x (-.f64 x 1/3))
12.0ms	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))

simplify83.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5070	1085

prune95.0ms

Filtered

66 candidates to 97 candidates (-47.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	97	3	100

Merged error: 0b

Counts

100 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 1/27)) (log.f64 (+.f64 1/9 (*.f64 x (-.f64 x 1/3)))))
1.4b	(exp.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x 3) 1/27)) (log.f64 (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))))
10.5b	(log.f64 (+.f64 (pow.f64 x 3) 1/27))
13.1b	(log.f64 (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64`
18×	`log-prod_binary64`
14×	`pow1_binary64` `add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64` `log-pow_binary64` `log-div_binary64`
8×	`distribute-lft-out--_binary64` `associate--l+_binary64` `exp-prod_binary64`
7×	`exp-sum_binary64`
6×	`add-exp-log_binary64`
5×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64`
4×	`associate--r-_binary64` `add-cbrt-cube_binary64`
3×	`associate--r+_binary64` `distribute-lft-out_binary64`
2×	`sub-neg_binary64` `associate--l-_binary64` `diff-log_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `difference-of-squares_binary64`
1×	`flip3--_binary64` `exp-diff_binary64` `flip--_binary64`

Counts

4 → 81

Calls

4 calls:

12.0ms	(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 1/27)) (log.f64 (+.f64 1/9 (*.f64 x (-.f64 x 1/3)))))
11.0ms	(exp.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x 3) 1/27)) (log.f64 (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))))
6.0ms	(log.f64 (+.f64 (pow.f64 x 3) 1/27))
3.0ms	(log.f64 (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))

series54.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 1/27)) (log.f64 (+.f64 1/9 (*.f64 x (-.f64 x 1/3)))))
32.0ms	(exp.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x 3) 1/27)) (log.f64 (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))))
12.0ms	(log.f64 (+.f64 (pow.f64 x 3) 1/27))
4.0ms	(log.f64 (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))

simplify89.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4893	1297
1	4893	1297

prune70.0ms

Filtered

68 candidates to 93 candidates (-36.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0b

Counts

96 → 3

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	3
1	4	3

end0.0ms

sample251.0ms

Algorithm

intervals

Results

152.0ms

8000×

body

valid

Details

analyze3.0ms

sample8.0ms

simplify5.0ms

prune9.0ms

localize2.0ms

rewrite4.0ms

series2.0ms

simplify86.0ms

prune9.0ms

localize5.0ms

rewrite12.0ms

series7.0ms

simplify50.0ms

prune24.0ms

localize8.0ms

rewrite27.0ms

series22.0ms

simplify83.0ms

prune95.0ms

localize13.0ms

rewrite35.0ms

series54.0ms

simplify89.0ms

prune70.0ms

regimes24.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample251.0ms

Profiling