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: 2.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.2b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite36.0ms

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:

5.0ms	(* 1.1283791670955126 (exp z))
17.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series368.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
225.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
54.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
72.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (32.0ms)

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

prune194.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.1b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite58.0ms

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:

24.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
13.0ms	(/ 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)

series217.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
50.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
55.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
72.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify71.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (54.0ms)

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

prune273.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

3.0ms	(/ (exp z) y)
19.0ms	(+ x (/ (* (cbrt 1) (cbrt 1)) (- (* 1.1283791670955126 (/ (exp z) y)) x)))
16.0ms	(/ (* (cbrt 1) (cbrt 1)) (- (* 1.1283791670955126 (/ (exp z) y)) x))
9.0ms	(* 1.1283791670955126 (/ (exp z) y))

series142.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ (exp z) y)
39.0ms	(+ x (/ (* (cbrt 1) (cbrt 1)) (- (* 1.1283791670955126 (/ (exp z) y)) x)))
66.0ms	(/ (* (cbrt 1) (cbrt 1)) (- (* 1.1283791670955126 (/ (exp z) y)) x))
21.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify56.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	448	777
1	1883	704
2	5002	658

prune272.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(+ x (* 1 (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.2b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`*-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:

5.0ms	(* 1.1283791670955126 (exp z))
2.0ms	(+ x (* 1 (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
35.0ms	(+ x (* 1 (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
57.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
69.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	349	607
1	1361	559
2	5002	558

prune198.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes114.0ms

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	17	9
1	17	9

end0.0ms

sample434.0ms

Algorithm

intervals

Results

262.0ms

8000×

body

valid