Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.3%	13
66.6%	0%	33.3%	14

sample12.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify133.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	4767	9
1	4767	9

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 0.954929658551372 x) (.f64 0.12900613773279798 (pow.f64 x 3)))
0.1b	(*.f64 0.12900613773279798 (pow.f64 x 3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
7×	`add-exp-log_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
3×	`associate-l_binary64` `prod-exp_binary64`
2×	`pow1_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `flip--_binary64` `pow-exp_binary64` `unpow3_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

2 → 42

Calls

2 calls:

4.0ms	(-.f64 (.f64 0.954929658551372 x) (.f64 0.12900613773279798 (pow.f64 x 3)))
6.0ms	(*.f64 0.12900613773279798 (pow.f64 x 3))

series28.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(-.f64 (.f64 0.954929658551372 x) (.f64 0.12900613773279798 (pow.f64 x 3)))
5.0ms	(*.f64 0.12900613773279798 (pow.f64 x 3))

simplify54.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4894	393
1	4894	393

prune55.0ms

Filtered

31 candidates to 48 candidates (-54.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	44	6	50

Merged error: 0.0b

Counts

50 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 0.954929658551372 x) (.f64 (.f64 0.12900613773279798 x) (.f64 x x)))
0.2b	(.f64 (.f64 0.12900613773279798 x) (*.f64 x x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-r_binary64` `associate-l_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

4.0ms	(-.f64 (.f64 0.954929658551372 x) (.f64 (.f64 0.12900613773279798 x) (.f64 x x)))
7.0ms	(.f64 (.f64 0.12900613773279798 x) (*.f64 x x))

series24.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(-.f64 (.f64 0.954929658551372 x) (.f64 (.f64 0.12900613773279798 x) (.f64 x x)))
5.0ms	(.f64 (.f64 0.12900613773279798 x) (*.f64 x x))

simplify57.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4912	328
1	4912	328

prune32.0ms

Filtered

21 candidates to 39 candidates (-85.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	39	6	45

Merged error: 0b

Counts

45 → 6

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 0.954929658551372 (.f64 0.12900613773279798 (.f64 x x)))
0.1b	(.f64 x (-.f64 0.954929658551372 (.f64 0.12900613773279798 (*.f64 x x))))
0.2b	(.f64 0.12900613773279798 (.f64 x x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
6×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
3×	`sub-neg_binary64`
2×	`flip3--_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `flip--_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`

Counts

3 → 52

Calls

3 calls:

3.0ms	(-.f64 0.954929658551372 (.f64 0.12900613773279798 (.f64 x x)))
6.0ms	(.f64 x (-.f64 0.954929658551372 (.f64 0.12900613773279798 (*.f64 x x))))
6.0ms	(.f64 0.12900613773279798 (.f64 x x))

series38.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(-.f64 0.954929658551372 (.f64 0.12900613773279798 (.f64 x x)))
20.0ms	(.f64 x (-.f64 0.954929658551372 (.f64 0.12900613773279798 (*.f64 x x))))
4.0ms	(.f64 0.12900613773279798 (.f64 x x))

simplify37.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4983	540
1	4983	540

prune51.0ms

Filtered

38 candidates to 61 candidates (-60.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	2	3
Picked	0	1	1
Done	1	1	2
Total	62	5	67

Merged error: 0b

Counts

67 → 5

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 0.954929658551372 (.f64 (.f64 0.12900613773279798 x) x))
0.1b	(.f64 x (-.f64 0.954929658551372 (.f64 (*.f64 0.12900613773279798 x) x)))
0.1b	(.f64 (.f64 0.12900613773279798 x) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
3×	`sub-neg_binary64`
2×	`flip3--_binary64` `associate-r/_binary64` `flip--_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64`

Counts

3 → 51

Calls

3 calls:

3.0ms	(-.f64 0.954929658551372 (.f64 (.f64 0.12900613773279798 x) x))
6.0ms	(.f64 x (-.f64 0.954929658551372 (.f64 (*.f64 0.12900613773279798 x) x)))
6.0ms	(.f64 (.f64 0.12900613773279798 x) x)

series38.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(-.f64 0.954929658551372 (.f64 (.f64 0.12900613773279798 x) x))
19.0ms	(.f64 x (-.f64 0.954929658551372 (.f64 (*.f64 0.12900613773279798 x) x)))
4.0ms	(.f64 (.f64 0.12900613773279798 x) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4959	532
1	4959	532

prune43.0ms

Filtered

39 candidates to 60 candidates (-53.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	60	5	65

Merged error: 0b

Counts

65 → 5

regimes32.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	9
1	46	9

end0.0ms

sample310.0ms

Algorithm

intervals

Results

225.0ms	8000×	body	80	valid
0.0ms	2×	body	80	invalid

Details

analyze4.0ms

sample12.0ms

simplify133.0ms

prune6.0ms

localize6.0ms

rewrite12.0ms

series28.0ms

simplify54.0ms

prune55.0ms

localize6.0ms

rewrite13.0ms

series24.0ms

simplify57.0ms

prune32.0ms

localize5.0ms

rewrite17.0ms

series38.0ms

simplify37.0ms

prune51.0ms

localize5.0ms

rewrite16.0ms

series38.0ms

simplify53.0ms

prune43.0ms

regimes32.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample310.0ms

Profiling