Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

369×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	4
1	20	4
2	39	4
3	47	4
4	47	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
0.1b	(* (+ (* x y) z) y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

3.0ms	(+ (* x y) z)
11.0ms	(* (+ (* x y) z) y)

series58.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (* x y) z)
34.0ms	(* (+ (* x y) z) y)

simplify75.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	143	171
1	557	149
2	3035	148
3	5001	148

prune80.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
0.8b	(- (* (* x y) (* x y)) (* z z))
6.2b	(* (- (* (* x y) (* x y)) (* z z)) y)
19.4b	(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down`
10×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`associate-l`
4×	`flip3--` `associate-r` `associate-*l/` `pow-sqr` `pow-prod-up` `flip--`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `pow-plus` `div-exp` `associate-/r/` `*-commutative` `associate-/l/` `difference-of-squares`
1×	`pow2` `sub-neg` `frac-2neg` `diff-log` `swap-sqr` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

10.0ms	(* (* x y) (* x y))
10.0ms	(- (* (* x y) (* x y)) (* z z))
38.0ms	(* (- (* (* x y) (* x y)) (* z z)) y)
22.0ms	(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

series238.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* x y) (* x y))
58.0ms	(- (* (* x y) (* x y)) (* z z))
78.0ms	(* (- (* (* x y) (* x y)) (* z z)) y)
67.0ms	(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

simplify65.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	370	731
1	2117	610
2	5001	610

prune212.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (pow y 2)) (* z y))
8.4b	(* x (pow y 2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 38

Calls

2 calls:

3.0ms	(+ (* x (pow y 2)) (* z y))
6.0ms	(* x (pow y 2))

series72.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* x (pow y 2)) (* z y))
30.0ms	(* x (pow y 2))

simplify167.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (163.0ms)

Iter	Nodes	Cost
0	184	195
1	721	174
2	3769	168
3	5001	165

prune101.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.2b	(* (sqrt (* (+ (* x y) z) y)) (sqrt (* (+ (* x y) z) y)))
7.4b	(sqrt (* (+ (* x y) z) y))
7.4b	(sqrt (* (+ (* x y) z) y))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 103

Calls

4 calls:

11.0ms	(* (+ (* x y) z) y)
31.0ms	(* (sqrt (* (+ (* x y) z) y)) (sqrt (* (+ (* x y) z) y)))
4.0ms	(sqrt (* (+ (* x y) z) y))
5.0ms	(sqrt (* (+ (* x y) z) y))

series382.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (+ (* x y) z) y)
89.0ms	(* (sqrt (* (+ (* x y) z) y)) (sqrt (* (+ (* x y) z) y)))
129.0ms	(sqrt (* (+ (* x y) z) y))
130.0ms	(sqrt (* (+ (* x y) z) y))

simplify48.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	230	626
1	1069	568
2	5002	542

prune239.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes110.0ms

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	12	4
1	12	4

end0.0ms

sample526.0ms

Algorithm

intervals

Results

262.0ms

11250×

body

valid