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

simplify139.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (136.0ms)

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: 0.1b

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))

series18.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(-.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

prune55.0ms

Filtered

31 candidates to 48 candidates (-54.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	43	7	50

Merged error: 0.0b

Counts

50 → 7

localize7.0ms

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))
0.2b	(.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)

series22.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(-.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 (32.0ms)

Iter	Nodes	Cost
0	5003	413

prune52.0ms

Filtered

36 candidates to 69 candidates (-91.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

localize6.0ms

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)
0.2b	(.f64 0.12900613773279798 (.f64 x x))

rewrite21.0ms

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)
8.0ms	(.f64 0.12900613773279798 (.f64 x x))

series22.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(-.f64 (.f64 0.954929658551372 x) (.f64 (.f64 0.12900613773279798 (.f64 x x)) x))
5.0ms	(.f64 (.f64 0.12900613773279798 (*.f64 x x)) x)
4.0ms	(.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

prune47.0ms

Filtered

32 candidates to 61 candidates (-90.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	62	6	68

Merged error: 0b

Counts

68 → 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))

series23.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(-.f64 0.954929658551372 (.f64 0.12900613773279798 (.f64 x x)))
11.0ms	(.f64 x (-.f64 0.954929658551372 (.f64 0.12900613773279798 (*.f64 x x))))
4.0ms	(.f64 0.12900613773279798 (.f64 x x))

simplify40.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4983	540
1	4983	540

prune43.0ms

Filtered

38 candidates to 61 candidates (-60.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	61	6	67

Merged error: 0b

Counts

67 → 6

regimes69.0ms

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

sample301.0ms

Algorithm

intervals

Results

222.0ms

8000×

body

valid

Details

analyze4.0ms

sample12.0ms

simplify139.0ms

prune7.0ms

localize6.0ms

rewrite12.0ms

series18.0ms

simplify59.0ms

prune55.0ms

localize7.0ms

rewrite21.0ms

series22.0ms

simplify38.0ms

prune52.0ms

localize6.0ms

rewrite21.0ms

series22.0ms

simplify45.0ms

prune47.0ms

localize5.0ms

rewrite17.0ms

series23.0ms

simplify40.0ms

prune43.0ms

regimes69.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample301.0ms

Profiling