Details

analyze732.0ms

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
9.4%	90.4%	0.2%	8
9.4%	90.4%	0.2%	9
10.9%	88.9%	0.2%	10
25.9%	73.9%	0.2%	11
47.1%	52.7%	0.2%	12
55.3%	44.5%	0.2%	13
59.2%	40.6%	0.2%	14

sample23.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4937	13
1	4937	13

prune12.0ms

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: 0.2b

Counts

2 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ -1 (- (/ z y) (/ t (* 2.0 z)))))
0.0b	(- (/ z y) (/ t (* 2.0 z)))
1.3b	(/ -1 (- (/ z y) (/ t (* 2.0 z))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
23×	`times-frac`
14×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`add-log-exp`
6×	`associate-/r*`
5×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
3×	`pow1` `associate-/r/` `associate-/l*`
2×	`flip3--` `frac-sub` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 69

Calls

3 calls:

21.0ms	(+ x (/ -1 (- (/ z y) (/ t (* 2.0 z)))))
11.0ms	(- (/ z y) (/ t (* 2.0 z)))
12.0ms	(/ -1 (- (/ z y) (/ t (* 2.0 z))))

series28.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ x (/ -1 (- (/ z y) (/ t (* 2.0 z)))))
7.0ms	(- (/ z y) (/ t (* 2.0 z)))
9.0ms	(/ -1 (- (/ z y) (/ t (* 2.0 z))))

simplify46.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5516	1239

prune142.0ms

Filtered

62 candidates to 78 candidates (-25.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	72	6	78
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	72	8	80

Merged error: 0.1b

Counts

80 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ 1 (* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (- (/ z y) (/ t (* z 2.0))))))
16.2b	(cbrt (- (/ z y) (/ t (* z 2.0))))
16.2b	(cbrt (- (/ z y) (/ t (* z 2.0))))
16.2b	(cbrt (- (/ z y) (/ t (* z 2.0))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-div`
24×	`add-sqr-sqrt`
18×	`cbrt-prod`
15×	`add-exp-log` `*-un-lft-identity` `associate-/r/`
12×	`pow1`
11×	`flip3--` `frac-sub` `flip--`
9×	`frac-times` `add-cube-cbrt` `pow-flip` `pow1/3`
7×	`add-cbrt-cube`
6×	`times-frac` `difference-of-squares`
4×	`div-exp` `add-log-exp`
3×	`associate-r/` `associate-l/` `prod-exp` `associate-/l*` `distribute-lft-out--`
2×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv` `inv-pow`

Counts

4 → 101

Calls

4 calls:

30.0ms	(/ 1 (* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (- (/ z y) (/ t (* z 2.0))))))
10.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
10.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
10.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))

series109.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ 1 (* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (- (/ z y) (/ t (* z 2.0))))))
23.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
24.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
23.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))

simplify64.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5517	1792

prune261.0ms

Filtered

83 candidates to 113 candidates (-36.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	112	9	121

Merged error: 0.1b

Counts

121 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

16.2b	(cbrt (- (/ z y) (/ t (* z 2.0))))
16.2b	(cbrt (- (/ z y) (/ t (* z 2.0))))
16.2b	(cbrt (- (/ z y) (/ t (* z 2.0))))
16.2b	(cbrt (- (/ z y) (/ t (* z 2.0))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`cbrt-prod`
16×	`*-un-lft-identity`
12×	`cbrt-div`
8×	`add-cube-cbrt` `difference-of-squares`
4×	`pow1` `add-exp-log` `flip3--` `times-frac` `pow1/3` `frac-sub` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

4 → 68

Calls

4 calls:

10.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
12.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
11.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
10.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))

series95.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
24.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
23.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
23.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))

simplify41.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4966	1276
1	4966	1276

prune289.0ms

Filtered

68 candidates to 80 candidates (-17.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	80	9	89

Merged error: 0.1b

Counts

89 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ -1 (* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (- (/ z y) (/ t (* z 2.0))))))
16.2b	(cbrt (- (/ z y) (/ t (* 2.0 z))))
16.2b	(cbrt (- (/ z y) (/ t (* z 2.0))))
16.2b	(cbrt (- (/ z y) (/ t (* z 2.0))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-div`
24×	`add-sqr-sqrt`
18×	`cbrt-prod`
15×	`*-un-lft-identity` `associate-/r/`
11×	`flip3--` `frac-sub` `flip--`
9×	`add-exp-log` `frac-times` `add-cube-cbrt`
7×	`add-cbrt-cube`
6×	`times-frac` `difference-of-squares`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/` `associate-/l*` `distribute-lft-out--`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 87

Calls

4 calls:

27.0ms	(/ -1 (* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (- (/ z y) (/ t (* z 2.0))))))
10.0ms	(cbrt (- (/ z y) (/ t (* 2.0 z))))
12.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
10.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))

series113.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ -1 (* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (- (/ z y) (/ t (* z 2.0))))))
23.0ms	(cbrt (- (/ z y) (/ t (* 2.0 z))))
27.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
23.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))

simplify73.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4910	1771
1	4910	1771

prune228.0ms

Filtered

83 candidates to 99 candidates (-19.3%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	4	5
Picked	0	1	1
Done	0	3	3
Total	98	10	108

Merged error: 0.1b

Counts

108 → 10

regimes538.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	13
1	30	13

end0.0ms

sample604.0ms

Algorithm

intervals

Results

387.0ms

8000×

body

valid

Details

analyze732.0ms

sample23.0ms

simplify44.0ms

prune12.0ms

localize12.0ms

rewrite47.0ms

series28.0ms

simplify46.0ms

prune142.0ms

localize16.0ms

rewrite64.0ms

series109.0ms

simplify64.0ms

prune261.0ms

localize23.0ms

rewrite45.0ms

series95.0ms

simplify41.0ms

prune289.0ms

localize19.0ms

rewrite63.0ms

series113.0ms

simplify73.0ms

prune228.0ms

regimes538.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample604.0ms

Profiling