Details

analyze662.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

sample26.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
4.0ms	108×	body	80	invalid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	703	13
1	703	13

prune7.0ms

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: 6.6b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 z z) t)
0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
6.2b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-log-exp_binary64`
6×	`sub-neg_binary64` `add-sqr-sqrt_binary64`
4×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
3×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip--_binary64`
2×	`associate--r+_binary64` `diff-log_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

3 → 48

Calls

3 calls:

5.0ms	(-.f64 (*.f64 z z) t)
5.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
10.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

series43.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(-.f64 (*.f64 z z) t)
23.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
15.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

simplify32.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4992	627
1	4992	627

prune57.0ms

Filtered

40 candidates to 57 candidates (-42.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	49	8	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	8	58

Merged error: 2.9b

Counts

58 → 8

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 (*.f64 y t) -4))
0.0b	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 (.f64 y t) -4)))
9.9b	(.f64 (.f64 y 4) (*.f64 z z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-log-exp_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-sqr-sqrt_binary64`
3×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
2×	`diff-log_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `associate-r_binary64` `associate-l_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

3 → 47

Calls

3 calls:

10.0ms	(+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 (*.f64 y t) -4))
11.0ms	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 (.f64 y t) -4)))
8.0ms	(.f64 (.f64 y 4) (*.f64 z z))

series50.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 (*.f64 y t) -4))
24.0ms	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 (.f64 y t) -4)))
9.0ms	(.f64 (.f64 y 4) (*.f64 z z))

simplify63.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4999	657
1	4999	657

prune38.0ms

Filtered

32 candidates to 56 candidates (-75.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	58	6	64

Merged error: 0.0b

Counts

64 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 (.f64 y t) -4)))
0.0b	(+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 (*.f64 y t) -4))
0.2b	(.f64 (.f64 (*.f64 y 4) z) z)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-log-exp_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
3×	`associate-r_binary64`
2×	`diff-log_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `associate-l_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

3 → 46

Calls

3 calls:

10.0ms	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 (.f64 y t) -4)))
9.0ms	(+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 (*.f64 y t) -4))
8.0ms	(.f64 (.f64 (*.f64 y 4) z) z)

series51.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 (.f64 y t) -4)))
17.0ms	(+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 (*.f64 y t) -4))
11.0ms	(.f64 (.f64 (*.f64 y 4) z) z)

simplify60.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4949	657
1	4949	657

prune47.0ms

Filtered

36 candidates to 55 candidates (-52.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	4	4
Picked	0	1	1
Done	1	0	1
Total	53	8	61

Merged error: 0.0b

Counts

61 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series66.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
15.0ms	(cbrt.f64 z)
17.0ms	(cbrt.f64 z)
15.0ms	(cbrt.f64 z)

simplify48.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune51.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	83	10	93

Merged error: 0.0b

Counts

93 → 10

regimes840.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	114	17
1	114	17

end0.0ms

sample708.0ms

Algorithm

intervals

Results

300.0ms	8000×	body	80	valid
118.0ms	3043×	body	80	invalid

Details

analyze662.0ms

sample26.0ms

simplify37.0ms

prune7.0ms

localize8.0ms

rewrite20.0ms

series43.0ms

simplify32.0ms

prune57.0ms

localize13.0ms

rewrite31.0ms

series50.0ms

simplify63.0ms

prune38.0ms

localize11.0ms

rewrite28.0ms

series51.0ms

simplify60.0ms

prune47.0ms

localize15.0ms

rewrite12.0ms

series66.0ms

simplify48.0ms

prune51.0ms

regimes840.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample708.0ms

Profiling