Details

analyze302.0ms

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	13×	body	80	invalid

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	548	9
1	548	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: 0.2b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
0.0b	(*.f64 (-.f64 y x) 6)
0.3b	(.f64 (.f64 (-.f64 y x) 6) z)

rewrite21.0ms

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) z))
7.0ms	(*.f64 (-.f64 y x) 6)
8.0ms	(.f64 (.f64 (-.f64 y x) 6) z)

series28.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
4.0ms	(*.f64 (-.f64 y x) 6)
9.0ms	(.f64 (.f64 (-.f64 y x) 6) z)

simplify32.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5340	519

prune50.0ms

Filtered

40 candidates to 62 candidates (-55.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	54	8	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	9	63

Merged error: 0.0b

Counts

63 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))
0.2b	(.f64 (-.f64 y x) (.f64 6 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 z)))
8.0ms	(.f64 (-.f64 y x) (.f64 6 z))

series20.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))
9.0ms	(.f64 (-.f64 y x) (.f64 6 z))

simplify30.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5255	374

prune31.0ms

Filtered

24 candidates to 39 candidates (-62.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	40	8	48

Merged error: 0.0b

Counts

48 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z))
0.3b	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z)
0.6b	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6))
0.6b	(*.f64 (-.f64 y x) (sqrt.f64 6))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`associate-r_binary64`
12×	`-un-lft-identity_binary64` `associate-l/_binary64`
10×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
7×	`associate-l_binary64` `sqrt-prod_binary64`
6×	`add-log-exp_binary64`
3×	`flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64`
1×	`flip3-+_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 83

Calls

4 calls:

4.0ms	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z))
13.0ms	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z)
11.0ms	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6))
8.0ms	(*.f64 (-.f64 y x) (sqrt.f64 6))

series61.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z))
22.0ms	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z)
11.0ms	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6))
7.0ms	(*.f64 (-.f64 y x) (sqrt.f64 6))

simplify53.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4989	775
1	4989	775

prune46.0ms

Filtered

53 candidates to 95 candidates (-79.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	95	8	103

Merged error: 0.0b

Counts

103 → 8

localize10.0ms

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)

series65.0ms

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 (41.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune41.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	3	4
Picked	1	0	1
Done	0	3	3
Total	86	7	93

Merged error: 0.0b

Counts

93 → 7

regimes167.0ms

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

sample406.0ms

Algorithm

intervals

Results

218.0ms	8000×	body	80	valid
17.0ms	581×	body	80	invalid

Details

analyze302.0ms

sample16.0ms

simplify29.0ms

prune3.0ms

localize7.0ms

rewrite21.0ms

series28.0ms

simplify32.0ms

prune50.0ms

localize6.0ms

rewrite13.0ms

series20.0ms

simplify30.0ms

prune31.0ms

localize8.0ms

rewrite39.0ms

series61.0ms

simplify53.0ms

prune46.0ms

localize10.0ms

rewrite12.0ms

series65.0ms

simplify48.0ms

prune41.0ms

regimes167.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample406.0ms

Profiling