Details

sample430.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 93.051147%

Results

11.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	6
1	22	6
2	22	6

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: 3.3b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

9.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms	(* 1.1283791670955126 (exp z))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series52.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
2.0ms	(* 1.1283791670955126 (exp z))
15.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
23.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	329	592
1	1175	552
2	5001	551

prune123.0ms

Filtered

63 candidates to 83 candidates (-31.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	5	84

Merged error: 0b

Counts

84 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.3b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
16×	`associate-/r*`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv`
3×	`associate-r` `associate-l`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

5.0ms	(* 1.1283791670955126 (exp z))
10.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series45.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* 1.1283791670955126 (exp z))
15.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
11.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
16.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify70.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	521	1389
1	2423	1257
2	5002	1186

prune147.0ms

Filtered

88 candidates to 148 candidates (-68.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	149	4	153

Merged error: 0b

Counts

153 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.1283791670955126 (/ (exp z) y)) x)
0.0b	(/ (exp z) y)
0.1b	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
0.1b	(* 1.1283791670955126 (/ (exp z) y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`add-exp-log` `associate-r` `add-cbrt-cube`
7×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`div-exp`
3×	`cbrt-undiv` `associate-l` `div-inv`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `associate-/r/` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `associate-r/` `pow-prod-down` `-commutative` `inv-pow`

Counts

4 → 104

Calls

4 calls:

6.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
4.0ms	(/ (exp z) y)
7.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
7.0ms	(* 1.1283791670955126 (/ (exp z) y))

series44.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
5.0ms	(/ (exp z) y)
22.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
6.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify52.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	384	725
1	1583	664
2	5002	643

prune114.0ms

Filtered

78 candidates to 116 candidates (-48.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	116	4	120

Merged error: 0b

Counts

120 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

8.3b	(/ y (* (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
8.9b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
8.9b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
8.9b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3--` `flip--`
28×	`frac-times`
26×	`associate-/r/`
14×	`associate-*l/`
13×	`add-exp-log`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
8×	`associate-*r/`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `pow1/3` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l*`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 88

Calls

4 calls:

24.0ms	(/ y (* (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
5.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
5.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
4.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

series104.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ y (* (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
26.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
26.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
27.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify96.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	444	1698
1	1196	1526
2	4265	1436
3	5001	1384

prune220.0ms

Filtered

77 candidates to 100 candidates (-29.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	100	4	104

Merged error: 0b

Counts

104 → 4

regimes397.0ms

Accuracy

0% (0.0b 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 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample1.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 93.051147%

Results

337.0ms

8000×

body

valid

Details

sample430.0ms

simplify4.0ms

prune3.0ms

localize9.0ms

rewrite27.0ms

series52.0ms

simplify43.0ms

prune123.0ms

localize10.0ms

rewrite32.0ms

series45.0ms

simplify70.0ms

prune147.0ms

localize9.0ms

rewrite28.0ms

series44.0ms

simplify52.0ms

prune114.0ms

localize13.0ms

rewrite43.0ms

series104.0ms

simplify96.0ms

prune220.0ms

regimes397.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.0s

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