Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Filtered

1 candidates to 0 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: 2.5b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
9.9b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite28.0ms

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:

10.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
7.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series195.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
18.0ms	(* 1.1283791670955126 (exp z))
57.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
78.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (36.0ms)

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

prune179.0ms

Filtered

83 candidates to 63 candidates (75.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	4	84

Merged error: 0b

Counts

84 → 4

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))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
9.9b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite30.0ms

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))
8.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
7.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series203.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* 1.1283791670955126 (exp z))
48.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
61.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
75.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify79.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (58.0ms)

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

prune237.0ms

Filtered

148 candidates to 88 candidates (59.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	149	3	152

Merged error: 0b

Counts

152 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
0.0b	(/ (exp z) y)
0.1b	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
0.2b	(* 1.1283791670955126 (/ (exp z) y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

11.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
4.0ms	(/ (exp z) y)
13.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
8.0ms	(* 1.1283791670955126 (/ (exp z) y))

series150.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
18.0ms	(/ (exp z) y)
69.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
22.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify56.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	429	748
1	1716	678
2	5002	674

prune204.0ms

Filtered

117 candidates to 79 candidates (67.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	117	3	120

Merged error: 0b

Counts

120 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
0.5b	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
9.4b	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

5.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
11.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

series216.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* 1.1283791670955126 (exp z))
63.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
58.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
76.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify61.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	403	822
1	1831	729
2	5001	699

prune198.0ms

Filtered

113 candidates to 72 candidates (63.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	113	3	116

Merged error: 0b

Counts

116 → 3

regimes104.0ms

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

sample525.0ms

Algorithm

intervals

Results

347.0ms

8000×

body

valid

Details

sample21.0ms

simplify6.0ms

prune3.0ms

localize12.0ms

rewrite28.0ms

series195.0ms

simplify44.0ms

prune179.0ms

localize10.0ms

rewrite30.0ms

series203.0ms

simplify79.0ms

prune237.0ms

localize10.0ms

rewrite41.0ms

series150.0ms

simplify56.0ms

prune204.0ms

localize15.0ms

rewrite30.0ms

series216.0ms

simplify61.0ms

prune198.0ms

regimes104.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample525.0ms

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