Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

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))
6.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite29.0ms

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:

16.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series169.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
60.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
73.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify140.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (27.0ms)

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

prune180.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize14.0ms

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))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.4b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite55.0ms

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)))
10.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
12.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series225.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
48.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
59.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
72.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify64.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (50.0ms)

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

prune304.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

19.0ms	(+ x (/ (* (cbrt 1) (cbrt 1)) (- (* 1.1283791670955126 (/ (exp z) y)) x)))
13.0ms	(/ (* (cbrt 1) (cbrt 1)) (- (* 1.1283791670955126 (/ (exp z) y)) x))
9.0ms	(* 1.1283791670955126 (/ (exp z) y))

series132.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ x (/ (* (cbrt 1) (cbrt 1)) (- (* 1.1283791670955126 (/ (exp z) y)) x)))
66.0ms	(/ (* (cbrt 1) (cbrt 1)) (- (* 1.1283791670955126 (/ (exp z) y)) x))
20.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify51.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	423	635
1	1788	572
2	5002	525

prune231.0ms

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	(+ x (/ (* (cbrt 1) (cbrt 1)) (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y))) x)))
0.1b	(/ (* (cbrt 1) (cbrt 1)) (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y))) x))
0.3b	(* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y)))
0.3b	(* (sqrt 1.1283791670955126) (/ (exp z) y))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

58.0ms	(+ x (/ (* (cbrt 1) (cbrt 1)) (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y))) x)))
40.0ms	(/ (* (cbrt 1) (cbrt 1)) (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y))) x))
18.0ms	(* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y)))
11.0ms	(* (sqrt 1.1283791670955126) (/ (exp z) y))

series543.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(+ x (/ (* (cbrt 1) (cbrt 1)) (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y))) x)))
242.0ms	(/ (* (cbrt 1) (cbrt 1)) (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y))) x))
87.0ms	(* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y)))
51.0ms	(* (sqrt 1.1283791670955126) (/ (exp z) y))

simplify59.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	517	1063
1	2386	907
2	5001	834

prune337.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes138.0ms

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	17	9
1	17	9

end0.0ms

sample411.0ms

Algorithm

intervals

Results

245.0ms

8000×

body

valid