Details

sample50.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

24.0ms

366×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	8
1	69	8
2	134	8
3	225	8
4	378	8
5	598	8
6	815	8
7	1035	8
8	1143	8
9	1211	8
10	1211	8

prune6.0ms

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: 0.3b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
0.0b	(+ (* x y) (/ (* z t) 16.0))
0.2b	(/ (* a b) 4.0)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

8.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
5.0ms	(+ (* x y) (/ (* z t) 16.0))
4.0ms	(/ (* a b) 4.0)

series43.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
14.0ms	(+ (* x y) (/ (* z t) 16.0))
4.0ms	(/ (* a b) 4.0)

simplify36.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	301	419
1	1260	392
2	5002	385

prune98.0ms

Filtered

45 candidates to 59 candidates (-31.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	4	60

Merged error: 0.0b

Counts

60 → 4

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (/ (* z t) 16.0))
0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `flip3-+` `diff-log` `associate-r/` `sum-log` `frac-sub` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

2 → 27

Calls

2 calls:

5.0ms	(+ (* x y) (/ (* z t) 16.0))
7.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0)))

series36.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (* x y) (/ (* z t) 16.0))
25.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0)))

simplify93.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	211	314
1	815	297
2	3750	290
3	5002	290

prune64.0ms

Filtered

27 candidates to 33 candidates (-22.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0.0b

Counts

37 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
2.1b	(cbrt (+ (* x y) (/ (* z t) 16.0)))
2.1b	(cbrt (+ (* x y) (/ (* z t) 16.0)))
2.1b	(cbrt (+ (* x y) (/ (* z t) 16.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

13.0ms	(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
4.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
4.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
4.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))

series168.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
38.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
38.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
41.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))

simplify93.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	322	1278
1	1068	1199
2	4280	1116
3	5002	1096

prune227.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ (* z t) 16.0))
0.2b	(/ (* a b) 4.0)
0.2b	(pow (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) 3)
38.8b	(cbrt (pow (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) 3))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`cbrt-prod`
12×	`add-cube-cbrt`
10×	`add-exp-log` `unpow-prod-down` `cube-prod` `add-cbrt-cube`
8×	`cube-div`
6×	`add-log-exp`
5×	`pow1`
4×	`cbrt-div` `frac-sub` `distribute-lft-out--` `difference-of-squares`
3×	`pow-unpow` `flip3-+` `times-frac` `associate-/r*` `flip-+`
2×	`cbrt-undiv` `cube-mult` `flip3--` `unpow3` `div-exp` `flip--` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `pow-exp` `prod-exp` `clear-num` `sum-log` `rem-cbrt-cube` `cbrt-unprod` `div-inv` `associate-/l*` `rem-cube-cbrt`

Counts

4 → 92

Calls

4 calls:

5.0ms	(+ (* x y) (/ (* z t) 16.0))
6.0ms	(/ (* a b) 4.0)
9.0ms	(pow (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) 3)
9.0ms	(cbrt (pow (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) 3))

series1.9s

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (* x y) (/ (* z t) 16.0))
3.0ms	(/ (* a b) 4.0)
1.8s	(pow (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) 3)
24.0ms	(cbrt (pow (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) 3))

simplify60.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	502	1089
1	2338	1028
2	5002	1022

prune129.0ms

Filtered

65 candidates to 104 candidates (-60.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	104	4	108

Merged error: 0.0b

Counts

108 → 4

regimes1.3s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	8
1	22	8

end0.0ms

sample1.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

687.0ms

11988×

body

valid

Details

sample50.0ms

simplify54.0ms

prune6.0ms

localize13.0ms

rewrite19.0ms

series43.0ms

simplify36.0ms

prune98.0ms

localize12.0ms

rewrite12.0ms

series36.0ms

simplify93.0ms

prune64.0ms

localize16.0ms

rewrite29.0ms

series168.0ms

simplify93.0ms

prune227.0ms

localize15.0ms

rewrite32.0ms

series1.9s

simplify60.0ms

prune129.0ms

regimes1.3s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling