Details

sample418.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.5%

Results

14.0ms

351×

body

valid

simplify99.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	58	4
3	96	4
4	131	4
5	155	4
6	179	4
7	310	4
8	643	4
9	1171	4
10	2024	4
11	3276	4
12	5001	4

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: 2.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
6.1b	(* (- y x) (/ z t))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
9.0ms	(* (- y x) (/ z t))

series23.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify37.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune89.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	47	8	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	9	56

Merged error: 0.0b

Counts

56 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
1.6b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-sqr-sqrt` `add-cbrt-cube`
11×	`*-un-lft-identity`
9×	`cbrt-prod` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-r` `associate-l`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `flip3--` `times-frac` `associate-*l/` `flip--` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

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

series114.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt t)
22.0ms	(cbrt t)
23.0ms	(cbrt t)
45.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify47.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	399	665
1	1639	535
2	5001	479

prune103.0ms

Filtered

57 candidates to 81 candidates (-42.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	80	10	90

Merged error: 0.0b

Counts

90 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.8b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
1.0b	(* (cbrt (- y x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

112×	`cbrt-div`
84×	`frac-times`
78×	`add-exp-log`
56×	`flip3--` `flip--`
45×	`prod-exp` `cbrt-unprod`
40×	`associate-*l/`
27×	`associate-*r/` `add-cbrt-cube`
18×	`pow1`
17×	`add-sqr-sqrt`
13×	`cbrt-prod`
12×	`cbrt-undiv` `div-exp`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt` `associate-l` `pow-prod-down`
6×	`associate-r`
4×	`add-log-exp` `unswap-sqr`
3×	`times-frac`
2×	`pow1/3` `*-commutative`
1×	`div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 154

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
27.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
15.0ms	(* (cbrt (- y x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series159.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt t)
24.0ms	(cbrt t)
45.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
67.0ms	(* (cbrt (- y x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify104.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	1002	3056
1	3764	2587
2	5001	2402

prune169.0ms

Filtered

87 candidates to 166 candidates (-90.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	165	1	166
Fresh	0	7	7
Picked	1	0	1
Done	0	2	2
Total	166	10	176

Merged error: 0b

Counts

176 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.8b	(* (cbrt (- y x)) (* (cbrt (- y x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
1.0b	(* (cbrt (- y x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log`
28×	`cbrt-div`
24×	`prod-exp` `cbrt-unprod`
21×	`add-sqr-sqrt`
18×	`cbrt-prod` `frac-times`
16×	`associate-l`
15×	`*-un-lft-identity` `add-cbrt-cube`
14×	`flip3--` `flip--`
11×	`pow1` `add-cube-cbrt`
10×	`associate-*l/`
9×	`associate-*r/`
8×	`cbrt-undiv` `div-exp`
6×	`associate-r`
4×	`pow-prod-down` `add-log-exp` `unswap-sqr`
3×	`times-frac`
2×	`pow1/3` `*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`div-inv`

Counts

4 → 111

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
19.0ms	(* (cbrt (- y x)) (* (cbrt (- y x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
18.0ms	(* (cbrt (- y x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series181.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt t)
22.0ms	(cbrt t)
68.0ms	(* (cbrt (- y x)) (* (cbrt (- y x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
67.0ms	(* (cbrt (- y x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify73.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	707	1604
1	2692	1427
2	5001	1357

prune125.0ms

Filtered

84 candidates to 123 candidates (-46.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	123	10	133

Merged error: 0b

Counts

133 → 10

regimes533.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	21
1	22	21

end0.0ms

sample1.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.5%

Results

360.0ms

10627×

body

valid

Details

sample418.0ms

simplify99.0ms

prune3.0ms

localize6.0ms

rewrite14.0ms

series23.0ms

simplify37.0ms

prune89.0ms

localize15.0ms

rewrite20.0ms

series114.0ms

simplify47.0ms

prune103.0ms

localize23.0ms

rewrite54.0ms

series159.0ms

simplify104.0ms

prune169.0ms

localize20.0ms

rewrite45.0ms

series181.0ms

simplify73.0ms

prune125.0ms

regimes533.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling