Details

analyze677.0ms

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

sample22.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4937	13
1	4937	13

prune11.0ms

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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ -1 (- (/ z y) (/ t (* 2.0 z)))))
0.7b	(/ -1 (- (/ z y) (/ t (* 2.0 z))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`times-frac`
13×	`add-cube-cbrt`
8×	`difference-of-squares`
6×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp`
3×	`associate-/r/` `associate-/l*`
2×	`pow1`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `frac-sub` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 54

Calls

2 calls:

18.0ms	(+ x (/ -1 (- (/ z y) (/ t (* 2.0 z)))))
11.0ms	(/ -1 (- (/ z y) (/ t (* 2.0 z))))

series19.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ x (/ -1 (- (/ z y) (/ t (* 2.0 z)))))
8.0ms	(/ -1 (- (/ z y) (/ t (* 2.0 z))))

simplify40.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5198	981

prune108.0ms

Filtered

47 candidates to 60 candidates (-27.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	55	5	60
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	55	7	62

Merged error: 0.0b

Counts

62 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (- (/ z y) (/ t (* z 2.0))))))
14.5b	(cbrt (- (/ z y) (/ t (* z 2.0))))
14.5b	(cbrt (- (/ z y) (/ t (* z 2.0))))
14.5b	(cbrt (- (/ z y) (/ t (* z 2.0))))

rewrite55.0ms

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:

23.0ms	(/ 1 (* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (- (/ z y) (/ t (* z 2.0))))))
9.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
11.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
9.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))

series96.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ 1 (* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (- (/ z y) (/ t (* z 2.0))))))
21.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
23.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
21.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))

simplify61.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5517	1792

prune242.0ms

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	0	5	5
Picked	0	1	1
Done	0	1	1
Total	111	9	120

Merged error: 0.0b

Counts

120 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ -1 (- (/ z y) (/ t (* z 2.0))))
13.9b	(cbrt (/ -1 (- (/ z y) (/ t (* z 2.0)))))
13.9b	(cbrt (/ -1 (- (/ z y) (/ t (* z 2.0)))))
13.9b	(cbrt (/ -1 (- (/ z y) (/ t (* z 2.0)))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

110×	`add-sqr-sqrt`
85×	`times-frac`
75×	`cbrt-prod`
71×	`*-un-lft-identity`
45×	`add-cube-cbrt`
26×	`difference-of-squares`
13×	`distribute-lft-out--`
12×	`associate-/r/`
6×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1` `flip3--` `frac-sub` `flip--` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`

Counts

4 → 144

Calls

4 calls:

11.0ms	(/ -1 (- (/ z y) (/ t (* z 2.0))))
10.0ms	(cbrt (/ -1 (- (/ z y) (/ t (* z 2.0)))))
13.0ms	(cbrt (/ -1 (- (/ z y) (/ t (* z 2.0)))))
11.0ms	(cbrt (/ -1 (- (/ z y) (/ t (* z 2.0)))))

series104.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/ -1 (- (/ z y) (/ t (* z 2.0))))
30.0ms	(cbrt (/ -1 (- (/ z y) (/ t (* z 2.0)))))
34.0ms	(cbrt (/ -1 (- (/ z y) (/ t (* z 2.0)))))
31.0ms	(cbrt (/ -1 (- (/ z y) (/ t (* z 2.0)))))

simplify74.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4963	3185
1	4963	3185

prune426.0ms

Filtered

127 candidates to 156 candidates (-22.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	156	9	165

Merged error: 0b

Counts

165 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

13.9b	(cbrt (/ (/ -1 (* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (- (/ z y) (/ t (* z 2.0)))))) (cbrt (- (/ z y) (/ t (* z 2.0))))))
14.5b	(cbrt (- (/ z y) (/ t (* z 2.0))))
14.5b	(cbrt (- (/ z y) (/ t (* z 2.0))))
14.5b	(cbrt (- (/ z y) (/ t (* z 2.0))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

355×	`cbrt-prod`
250×	`times-frac`
229×	`cbrt-div`
195×	`add-sqr-sqrt`
138×	`associate-/r/`
120×	`*-un-lft-identity`
81×	`frac-times`
76×	`flip3--` `frac-sub` `flip--`
70×	`add-cube-cbrt`
50×	`difference-of-squares`
27×	`associate-r/` `associate-l/`
25×	`distribute-lft-out--`
10×	`div-inv`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 265

Calls

4 calls:

47.0ms	(cbrt (/ (/ -1 (* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (- (/ z y) (/ t (* z 2.0)))))) (cbrt (- (/ z y) (/ t (* z 2.0))))))
9.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
9.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
9.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))

series101.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (/ (/ -1 (* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (- (/ z y) (/ t (* z 2.0)))))) (cbrt (- (/ z y) (/ t (* z 2.0))))))
27.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
21.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
21.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))

simplify140.0ms

Algorithm

egg-herbie

Counts

277 → 277

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5281	15628

prune1.5s

Filtered

200 candidates to 277 candidates (-38.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	277	0	277
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	277	9	286

Merged error: 0b

Counts

286 → 9

regimes482.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	13
1	30	13

end0.0ms

sample585.0ms

Algorithm

intervals

Results

374.0ms

8000×

body

valid

Details

analyze677.0ms

sample22.0ms

simplify42.0ms

prune11.0ms

localize8.0ms

rewrite31.0ms

series19.0ms

simplify40.0ms

prune108.0ms

localize14.0ms

rewrite55.0ms

series96.0ms

simplify61.0ms

prune242.0ms

localize13.0ms

rewrite51.0ms

series104.0ms

simplify74.0ms

prune426.0ms

localize21.0ms

rewrite99.0ms

series101.0ms

simplify140.0ms

prune1.5s

regimes482.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample585.0ms

Profiling