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

simplify132.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	4767	9
1	4767	9

prune7.0ms

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: 0.0b

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))

series19.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(-.f64 (.f64 0.954929658551372 x) (.f64 0.12900613773279798 (pow.f64 x 3)))
6.0ms	(*.f64 0.12900613773279798 (pow.f64 x 3))

simplify59.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4894	393
1	4894	393

prune54.0ms

Filtered

31 candidates to 48 candidates (-54.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	44	6	50

Merged error: 0b

Counts

50 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64`
2×	`*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `unswap-sqr_binary64` `flip--_binary64`

Counts

3 → 52

Calls

3 calls:

4.0ms	(-.f64 (.f64 0.954929658551372 x) (.f64 (.f64 0.12900613773279798 (.f64 x x)) x))
8.0ms	(.f64 (.f64 0.12900613773279798 (*.f64 x x)) x)
6.0ms	(.f64 0.12900613773279798 (.f64 x x))

series24.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(-.f64 (.f64 0.954929658551372 x) (.f64 (.f64 0.12900613773279798 (.f64 x x)) x))
6.0ms	(.f64 (.f64 0.12900613773279798 (*.f64 x x)) x)
5.0ms	(.f64 0.12900613773279798 (.f64 x x))

simplify45.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5021	462

prune50.0ms

Filtered

34 candidates to 61 candidates (-79.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	63	4	67

Merged error: 0b

Counts

67 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`associate-r_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`associate-l_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `flip--_binary64`

Counts

3 → 51

Calls

3 calls:

4.0ms	(-.f64 (.f64 0.954929658551372 x) (.f64 (.f64 (.f64 0.12900613773279798 x) x) x))
7.0ms	(.f64 (.f64 (*.f64 0.12900613773279798 x) x) x)
5.0ms	(.f64 (.f64 0.12900613773279798 x) x)

series26.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(-.f64 (.f64 0.954929658551372 x) (.f64 (.f64 (.f64 0.12900613773279798 x) x) x))
8.0ms	(.f64 (.f64 (*.f64 0.12900613773279798 x) x) x)
4.0ms	(.f64 (.f64 0.12900613773279798 x) x)

simplify63.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4928	454
1	4928	454

prune49.0ms

Filtered

36 candidates to 60 candidates (-66.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	60	4	64

Merged error: 0b

Counts

64 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`pow-prod-up_binary64` `pow-plus_binary64` `add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64`
2×	`pow-sqr_binary64` `pow2_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `unswap-sqr_binary64` `pow3_binary64` `flip--_binary64`

Counts

3 → 60

Calls

3 calls:

4.0ms	(-.f64 (.f64 0.954929658551372 x) (.f64 0.12900613773279798 (.f64 (.f64 x x) x)))
9.0ms	(.f64 0.12900613773279798 (.f64 (*.f64 x x) x))
6.0ms	(.f64 (.f64 x x) x)

series23.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(-.f64 (.f64 0.954929658551372 x) (.f64 0.12900613773279798 (.f64 (.f64 x x) x)))
5.0ms	(.f64 0.12900613773279798 (.f64 (*.f64 x x) x))
5.0ms	(.f64 (.f64 x x) x)

simplify38.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5003	413

prune43.0ms

Filtered

36 candidates to 69 candidates (-91.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	69	4	73

Merged error: 0b

Counts

73 → 4

regimes60.0ms

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	36	9
1	36	9

end0.0ms

sample306.0ms

Algorithm

intervals

Results

223.0ms

8000×

body

valid

Details

analyze4.0ms

sample12.0ms

simplify132.0ms

prune7.0ms

localize6.0ms

rewrite12.0ms

series19.0ms

simplify59.0ms

prune54.0ms

localize7.0ms

rewrite19.0ms

series24.0ms

simplify45.0ms

prune50.0ms

localize6.0ms

rewrite18.0ms

series26.0ms

simplify63.0ms

prune49.0ms

localize6.0ms

rewrite21.0ms

series23.0ms

simplify38.0ms

prune43.0ms

regimes60.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample306.0ms

Profiling