Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize8.0ms

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))
6.7b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite38.0ms

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:

17.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
7.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series176.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
16.0ms	(* 1.1283791670955126 (exp z))
54.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
70.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	329	592
1	1175	552
2	5002	551

prune208.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

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))
6.6b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite57.0ms

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:

26.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
10.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
11.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series215.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
49.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
54.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
72.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify69.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (52.0ms)

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

prune289.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
37×	`*-un-lft-identity` `times-frac`
35×	`add-cube-cbrt`
13×	`associate-r` `add-cbrt-cube`
12×	`sqrt-prod`
11×	`add-exp-log`
9×	`associate-/l*`
6×	`pow1` `associate-/r*` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-l` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3--` `flip3-+` `associate-r/` `pow-prod-down` `sum-log` `-commutative` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 112

Calls

4 calls:

23.0ms	(+ x (/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x)))
3.0ms	(/ (exp z) y)
12.0ms	(/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x))
12.0ms	(* 1.1283791670955126 (/ (exp z) y))

series144.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ x (/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x)))
16.0ms	(/ (exp z) y)
63.0ms	(/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x))
21.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify57.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	452	947
1	1758	896
2	5002	807

prune304.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt` `*-un-lft-identity`
33×	`times-frac`
27×	`add-cube-cbrt`
18×	`sqrt-prod`
13×	`add-cbrt-cube`
11×	`add-exp-log`
8×	`associate-/r*`
7×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-r` `associate-l`
2×	`frac-2neg` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `div-inv`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

7.0ms	(* 1.1283791670955126 (exp z))
31.0ms	(+ x (/ (sqrt 1) (- (/ (* 1.1283791670955126 (exp z)) y) x)))
5.0ms	(/ (* 1.1283791670955126 (exp z)) y)
16.0ms	(/ (sqrt 1) (- (/ (* 1.1283791670955126 (exp z)) y) x))

series141.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* 1.1283791670955126 (exp z))
39.0ms	(+ x (/ (sqrt 1) (- (/ (* 1.1283791670955126 (exp z)) y) x)))
25.0ms	(/ (* 1.1283791670955126 (exp z)) y)
60.0ms	(/ (sqrt 1) (- (/ (* 1.1283791670955126 (exp z)) y) x))

simplify57.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	427	986
1	1702	936
2	5001	800

prune237.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample411.0ms

Algorithm

intervals

Results

247.0ms

8000×

body

valid