Details

Time bar (total: 9.7s)

sample17.0ms

Algorithm
intervals
Results
7.0ms327×body80valid

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0134
1204
2344
3494
4574
5694
6904
71274
81764
93044
104394
114494
124494

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:
12.0ms
(* (- 1.0 x) z)
4.0ms
(+ (* x y) (* (- 1.0 x) z))

series58.0ms

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

simplify104.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0185183
1776166
24093166
35001166

prune81.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
0.5b
(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.5b
(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.5b
(cbrt (+ (* x y) (* (- 1.0 x) z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
17.0ms
(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
2.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
2.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
2.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))

series668.0ms

Counts
4 → 12
Calls
4 calls:
215.0ms
(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
148.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
155.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
149.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))

simplify139.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03141273
110311192
249981084
350011084

prune256.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
3.3b
(* (- (* 1.0 1.0) (* x x)) z)
6.7b
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×times-frac associate-*l* associate-*l/ associate-/r*
3×associate-*r*
2×cbrt-undiv flip3-- flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/ distribute-lft-out
1×+-commutative frac-2neg pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 59
Calls
3 calls:
9.0ms
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
10.0ms
(* (- (* 1.0 1.0) (* x x)) z)
9.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series153.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
39.0ms
(* (- (* 1.0 1.0) (* x x)) z)
58.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify54.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0368530
11781465
25002456

prune149.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

21.7b
(/ (* (cbrt (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3))) (cbrt (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))))) (* (cbrt (+ (* (* x y) (* x y)) (- (* (* (- 1.0 x) z) (* (- 1.0 x) z)) (* (* x y) (* (- 1.0 x) z))))) (cbrt (- (* x y) (* (- 1.0 x) z)))))
27.6b
(cbrt (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))))
27.6b
(cbrt (+ (* (* x y) (* x y)) (- (* (* (- 1.0 x) z) (* (- 1.0 x) z)) (* (* x y) (* (- 1.0 x) z)))))
38.8b
(cbrt (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
16×add-exp-log
12×cbrt-prod
9×*-un-lft-identity
8×frac-times flip3-+ associate-/r/ add-cbrt-cube flip-+ associate-/l/
7×add-sqr-sqrt add-cube-cbrt flip3-- flip--
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod add-log-exp
3×pow1/3
1×frac-2neg times-frac clear-num associate-/r* sum-cubes div-inv distribute-lft-out associate-/l* difference-of-squares
Counts
4 → 79
Calls
4 calls:
91.0ms
(/ (* (cbrt (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3))) (cbrt (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))))) (* (cbrt (+ (* (* x y) (* x y)) (- (* (* (- 1.0 x) z) (* (- 1.0 x) z)) (* (* x y) (* (- 1.0 x) z))))) (cbrt (- (* x y) (* (- 1.0 x) z)))))
10.0ms
(cbrt (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))))
63.0ms
(cbrt (+ (* (* x y) (* x y)) (- (* (* (- 1.0 x) z) (* (- 1.0 x) z)) (* (* x y) (* (- 1.0 x) z)))))
6.0ms
(cbrt (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)))

series6.5s

Counts
4 → 12
Calls
4 calls:
5.7s
(/ (* (cbrt (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3))) (cbrt (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))))) (* (cbrt (+ (* (* x y) (* x y)) (- (* (* (- 1.0 x) z) (* (- 1.0 x) z)) (* (* x y) (* (- 1.0 x) z))))) (cbrt (- (* x y) (* (- 1.0 x) z)))))
251.0ms
(cbrt (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))))
287.0ms
(cbrt (+ (* (* x y) (* x y)) (- (* (* (- 1.0 x) z) (* (- 1.0 x) z)) (* (* x y) (* (- 1.0 x) z)))))
339.0ms
(cbrt (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)))

simplify92.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06542854
124802468
250012425

prune542.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes96.0ms

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

sample427.0ms

Algorithm
intervals
Results
226.0ms10073×body80valid