Details

analyze298.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
43.3%	48%	8.7%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	23.7%	15%	13
65%	19.8%	15.3%	14

sample16.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	18×	body	80	invalid

simplify30.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	565	9
1	565	9

prune3.0ms

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: 0.4b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) z))
0.0b	(*.f64 (-.f64 y x) 6.0)
0.4b	(.f64 (.f64 (-.f64 y x) 6.0) z)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
6×	`associate-r_binary64` `add-cube-cbrt_binary64` `associate-l_binary64` `associate-*l/_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 53

Calls

3 calls:

4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) z))
10.0ms	(*.f64 (-.f64 y x) 6.0)
9.0ms	(.f64 (.f64 (-.f64 y x) 6.0) z)

series28.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) z))
6.0ms	(*.f64 (-.f64 y x) 6.0)
10.0ms	(.f64 (.f64 (-.f64 y x) 6.0) z)

simplify32.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5384	521

prune62.0ms

Filtered

40 candidates to 62 candidates (-55.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	6	63

Merged error: 0.0b

Counts

63 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (-.f64 y x) (.f64 6.0 z)))
0.2b	(.f64 (-.f64 y x) (.f64 6.0 z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`-un-lft-identity_binary64` `associate-l*_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
2×	`associate-*l/_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `associate-r_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

4.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6.0 z)))
8.0ms	(.f64 (-.f64 y x) (.f64 6.0 z))

series25.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6.0 z)))
10.0ms	(.f64 (-.f64 y x) (.f64 6.0 z))

simplify34.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5378	376

prune40.0ms

Filtered

24 candidates to 39 candidates (-62.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	38	7	45

Merged error: 0.0b

Counts

45 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z)) (cbrt.f64 (.f64 (*.f64 (-.f64 y x) 6.0) z)))
3.9b	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z))
3.9b	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z))
3.9b	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

38×	`associate-*l/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-*r/_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z)) (cbrt.f64 (.f64 (*.f64 (-.f64 y x) 6.0) z)))
7.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z))
7.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z))
7.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z))

series227.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(.f64 (cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z)) (cbrt.f64 (.f64 (*.f64 (-.f64 y x) 6.0) z)))
48.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z))
50.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z))
48.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z))

simplify55.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5002	1141

prune111.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	83	8	91

Merged error: 0.0b

Counts

91 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

1.1b	(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z))) 5)
3.9b	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z))
3.9b	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z))
3.9b	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*l/_binary64`
8×	`cbrt-prod_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `unpow-prod-down_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-div_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `flip--_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 55

Calls

4 calls:

5.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z))) 5)
8.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z))
7.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z))
7.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z))

series314.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z))) 5)
50.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z))
50.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z))
50.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6.0) z))

simplify65.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4902	914
1	4902	914

prune98.0ms

Filtered

59 candidates to 67 candidates (-13.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	67	8	75

Merged error: 0.0b

Counts

75 → 8

regimes234.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample419.0ms

Algorithm

intervals

Results

224.0ms	8000×	body	80	valid
15.0ms	582×	body	80	invalid

Details

analyze298.0ms

sample16.0ms

simplify30.0ms

prune3.0ms

localize6.0ms

rewrite25.0ms

series28.0ms

simplify32.0ms

prune62.0ms

localize6.0ms

rewrite13.0ms

series25.0ms

simplify34.0ms

prune40.0ms

localize13.0ms

rewrite33.0ms

series227.0ms

simplify55.0ms

prune111.0ms

localize15.0ms

rewrite28.0ms

series314.0ms

simplify65.0ms

prune98.0ms

regimes234.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample419.0ms

Profiling