Details

Time bar (total: 2.4s)

sample18.0ms

Algorithm
intervals
Results
7.0ms324×body80valid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1204
2344
3514
4584
5644
6814
71124
81594
92734
103704
114284
124504
134654
144654

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 1.0) z)
0.0b
(+ (* x y) (* (- x 1.0) z))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
6.0ms
(* (- x 1.0) z)
7.0ms
(+ (* x y) (* (- x 1.0) z))

series59.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (- x 1.0) z)
30.0ms
(+ (* x y) (* (- x 1.0) z))

simplify102.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0187183
1775166
24041166
35001166

prune81.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* 1.0 1.0))
0.0b
(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
3.8b
(* (- (* x x) (* 1.0 1.0)) z)
6.6b
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt add-log-exp
6×pow1
4×times-frac associate-*l* associate-*l/ associate-/r*
3×flip3-- associate-*r* flip--
2×cbrt-undiv flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/ distribute-lft-out difference-of-squares
1×+-commutative sub-neg frac-2neg diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 72
Calls
4 calls:
3.0ms
(- (* x x) (* 1.0 1.0))
7.0ms
(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
6.0ms
(* (- (* x x) (* 1.0 1.0)) z)
9.0ms
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series195.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* x x) (* 1.0 1.0))
53.0ms
(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
40.0ms
(* (- (* x x) (* 1.0 1.0)) z)
59.0ms
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0380611
11779535
25001526

prune180.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z))))
0.0b
(sqrt (* (- x 1.0) z))
0.0b
(sqrt (* (- x 1.0) z))
0.2b
(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1
32×sqrt-pow1
22×pow-prod-down
18×associate-*l/
16×sqrt-div
12×pow1/2
10×add-sqr-sqrt pow-prod-up
8×add-cube-cbrt flip3-- *-un-lft-identity flip--
6×add-exp-log sqrt-prod pow-sqr add-cbrt-cube add-log-exp
4×frac-times swap-sqr associate-*r* associate-*l*
2×associate-*r/
1×+-commutative pow2 flip3-+ pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 94
Calls
4 calls:
3.0ms
(+ (* x y) (* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z))))
5.0ms
(sqrt (* (- x 1.0) z))
8.0ms
(sqrt (* (- x 1.0) z))
14.0ms
(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))

series219.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ (* x y) (* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z))))
80.0ms
(sqrt (* (- x 1.0) z))
80.0ms
(sqrt (* (- x 1.0) z))
30.0ms
(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0275606
11257518
25002496

prune187.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (* (- x 1.0) z))
0.0b
(sqrt (* (- x 1.0) z))
0.2b
(* (sqrt (* (- x 1.0) z)) (exp (log (sqrt (* (- x 1.0) z)))))
2.4b
(exp (log (sqrt (* (- x 1.0) z))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×sqrt-div
16×pow1
13×add-sqr-sqrt
9×add-cube-cbrt log-prod flip3-- *-un-lft-identity exp-sum flip--
8×log-div exp-diff
7×exp-prod associate-*r*
6×sqrt-pow1 add-cbrt-cube
5×add-exp-log sqrt-prod
4×frac-times associate-*l* pow-prod-down log-pow add-log-exp
3×pow1/2
2×associate-*r/ unswap-sqr
1×prod-exp *-commutative cbrt-unprod rem-exp-log
Counts
4 → 79
Calls
4 calls:
5.0ms
(sqrt (* (- x 1.0) z))
5.0ms
(sqrt (* (- x 1.0) z))
17.0ms
(* (sqrt (* (- x 1.0) z)) (exp (log (sqrt (* (- x 1.0) z)))))
7.0ms
(exp (log (sqrt (* (- x 1.0) z))))

series271.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(sqrt (* (- x 1.0) z))
79.0ms
(sqrt (* (- x 1.0) z))
33.0ms
(* (sqrt (* (- x 1.0) z)) (exp (log (sqrt (* (- x 1.0) z)))))
78.0ms
(exp (log (sqrt (* (- x 1.0) z))))

simplify76.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0236612
1668495
22740463
35002453

prune228.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes75.0ms

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)

IterNodesCost
0114
1114

end0.0ms

sample444.0ms

Algorithm
intervals
Results
230.0ms10149×body80valid