Details

sample9.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 11.621094%

Guaranteed chance to sample good point: 58.121547%

Results

8.0ms	256×	body	80	valid
5.0ms	52×	body	80	invalid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	34	3
2	72	3
3	100	3
4	108	3
5	108	3

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 6.9b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.7b	(- (* x y) (* z y))
6.5b	(* (- (* x y) (* z y)) t)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`flip3--` `distribute-rgt-out--` `associate-*l/` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

3.0ms	(- (* x y) (* z y))
5.0ms	(* (- (* x y) (* z y)) t)

series20.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(- (* x y) (* z y))
13.0ms	(* (- (* x y) (* z y)) t)

simplify101.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	157	205
1	644	173
2	3801	169
3	5001	169

prune64.0ms

Filtered

31 candidates to 40 candidates (-29.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	34	6	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	7	41

Merged error: 0.0b

Counts

41 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.9b	(* (* (* (* y (- x z)) (cbrt t)) (cbrt t)) (cbrt t))
2.6b	(* (* y (- x z)) (cbrt t))
2.6b	(* (* (* y (- x z)) (cbrt t)) (cbrt t))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`associate-r`
16×	`add-cbrt-cube`
12×	`cbrt-prod` `associate-*l/`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-*r/`
4×	`add-log-exp`
3×	`flip3--` `associate-l` `*-commutative` `flip--`
1×	`pow1/3`

Counts

4 → 89

Calls

4 calls:

1.0ms	(cbrt t)
14.0ms	(* (* (* (* y (- x z)) (cbrt t)) (cbrt t)) (cbrt t))
8.0ms	(* (* y (- x z)) (cbrt t))
11.0ms	(* (* (* y (- x z)) (cbrt t)) (cbrt t))

series119.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt t)
15.0ms	(* (* (* (* y (- x z)) (cbrt t)) (cbrt t)) (cbrt t))
34.0ms	(* (* y (- x z)) (cbrt t))
48.0ms	(* (* (* y (- x z)) (cbrt t)) (cbrt t))

simplify56.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	436	757
1	1964	640
2	5001	567

prune109.0ms

Filtered

68 candidates to 101 candidates (-48.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	99	9	108

Merged error: 0.0b

Counts

108 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.9b	(* (* (* y (* (- x z) (cbrt t))) (cbrt t)) (cbrt t))
2.5b	(* y (* (- x z) (cbrt t)))
2.6b	(* (* y (* (- x z) (cbrt t))) (cbrt t))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
13×	`associate-r`
12×	`associate-*l/`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod`
6×	`associate-*r/`
5×	`associate-l`
4×	`add-log-exp`
3×	`flip3--` `*-commutative` `flip--`
1×	`pow1/3`

Counts

4 → 86

Calls

4 calls:

1.0ms	(cbrt t)
14.0ms	(* (* (* y (* (- x z) (cbrt t))) (cbrt t)) (cbrt t))
7.0ms	(* y (* (- x z) (cbrt t)))
13.0ms	(* (* y (* (- x z) (cbrt t))) (cbrt t))

series121.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt t)
15.0ms	(* (* (* y (* (- x z) (cbrt t))) (cbrt t)) (cbrt t))
35.0ms	(* y (* (- x z) (cbrt t)))
48.0ms	(* (* y (* (- x z) (cbrt t))) (cbrt t))

simplify60.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	437	756
1	1880	621
2	5001	558

prune105.0ms

Filtered

64 candidates to 98 candidates (-53.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	98	9	107

Merged error: 0.0b

Counts

107 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.9b	(* (* y (* (* (- x z) (cbrt t)) (cbrt t))) (cbrt t))
5.0b	(* y (* (* (- x z) (cbrt t)) (cbrt t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1` `add-exp-log`
17×	`add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-*l/`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`associate-r/` `associate-l*` `add-log-exp`
2×	`flip3--` `pow1/3` `*-commutative` `flip--`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
13.0ms	(* (* y (* (* (- x z) (cbrt t)) (cbrt t))) (cbrt t))
10.0ms	(* y (* (* (- x z) (cbrt t)) (cbrt t)))

series111.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt t)
22.0ms	(cbrt t)
16.0ms	(* (* y (* (* (- x z) (cbrt t)) (cbrt t))) (cbrt t))
50.0ms	(* y (* (* (- x z) (cbrt t)) (cbrt t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	383	654
1	1495	534
2	5001	461

prune68.0ms

Filtered

57 candidates to 86 candidates (-50.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	85	10	95

Merged error: 0.0b

Counts

95 → 10

regimes676.0ms

Accuracy

96% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 7.3b

bsearch1.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 2 (1.0ms)

Iter	Nodes	Cost
0	31	29
1	34	29
2	40	19
3	43	19
4	49	19
5	60	19
6	67	19
7	68	19
8	68	19

end0.0ms

sample10.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 11.621094%

Guaranteed chance to sample good point: 58.121547%

Results

267.0ms	8000×	body	80	valid
45.0ms	1432×	body	80	invalid

Details

sample9.8s

simplify10.0ms

prune8.0ms

localize7.0ms

rewrite9.0ms

series20.0ms

simplify101.0ms

prune64.0ms

localize11.0ms

rewrite37.0ms

series119.0ms

simplify56.0ms

prune109.0ms

localize9.0ms

rewrite38.0ms

series121.0ms

simplify60.0ms

prune105.0ms

localize9.0ms

rewrite28.0ms

series111.0ms

simplify52.0ms

prune68.0ms

regimes676.0ms

bsearch1.0ms

simplify5.0ms

end0.0ms

sample10.6s

Profiling