Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

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: 2.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
9.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

9.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series159.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
57.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
69.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify139.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	287	523
1	981	488
2	4097	486
3	5002	486

prune161.0ms

Filtered

62 candidates to 49 candidates (79.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	5	63

Merged error: 0b

Counts

63 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
0.0b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
9.2b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
57×	`*-un-lft-identity`
54×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp` `add-log-exp`
7×	`div-inv`
6×	`associate-/l*`
5×	`pow1`
4×	`cbrt-undiv`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `sub-neg` `pow-flip` `flip3-+` `diff-log` `div-sub` `sum-log` `associate-/r/` `flip-+` `inv-pow`

Counts

4 → 131

Calls

4 calls:

14.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
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)

series215.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
44.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
56.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
71.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify66.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	545	1469
1	2439	1265
2	5001	1255

prune226.0ms

Filtered

143 candidates to 87 candidates (60.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	145	3	148

Merged error: 0b

Counts

148 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

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:

10.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
4.0ms	(/ (exp z) y)
8.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
7.0ms	(* 1.1283791670955126 (/ (exp z) y))

series138.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
15.0ms	(/ (exp z) y)
62.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
20.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify51.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	429	750
1	1716	680
2	5002	676

prune196.0ms

Filtered

117 candidates to 80 candidates (68.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	117	3	120

Merged error: 0b

Counts

120 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
9.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
9.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
9.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
29×	`add-sqr-sqrt` `add-cube-cbrt`
27×	`times-frac`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
6×	`associate-/r/`
4×	`pow1` `cbrt-prod` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
2×	`cbrt-div`
1×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`

Counts

4 → 101

Calls

4 calls:

8.0ms	(cbrt (+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series367.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt (+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
72.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
69.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
68.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify149.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	321	1088
1	1004	1035
2	4198	1024
3	5001	1024

prune319.0ms

Filtered

113 candidates to 92 candidates (81.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

116 → 3

regimes113.0ms

Accuracy

0% (0.0b 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 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample435.0ms

Algorithm

intervals

Results

260.0ms

8000×

body

valid