Details

Time bar (total: 3.6s)

sample18.0ms

Algorithm
intervals
Results
7.0ms343×body80valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:
20.0ms
(* (- 1.0 x) z)
9.0ms
(+ (* x y) (* (- 1.0 x) z))

series94.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* (- 1.0 x) z)
46.0ms
(+ (* x y) (* (- 1.0 x) z))

simplify102.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0185183
1776166
24093166
35001166

prune68.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
0.6b
(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.6b
(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.6b
(cbrt (+ (* x y) (* (- 1.0 x) z)))

rewrite57.0ms

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:
39.0ms
(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
4.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
4.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
7.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))

series685.0ms

Counts
4 → 12
Calls
4 calls:
215.0ms
(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
154.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
162.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
154.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))

simplify140.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03141273
110311192
249981084
350011084

prune246.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
2.1b
(* (- (* 1.0 1.0) (* x x)) z)
6.7b
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite77.0ms

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:
23.0ms
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
25.0ms
(* (- (* 1.0 1.0) (* x x)) z)
28.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series160.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
46.0ms
(* (- (* 1.0 1.0) (* x x)) z)
57.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify52.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0368530
11781465
25002456

prune144.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.6b
(cbrt (+ (* x y) (* (- 1.0 x) z)))
2.9b
(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
27.4b
(cbrt (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
2×flip3-- flip3-+ flip-- flip-+ difference-of-squares
1×sub-neg diff-log
Counts
4 → 53
Calls
4 calls:
6.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
4.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
29.0ms
(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
29.0ms
(cbrt (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))))

series672.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
164.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
91.0ms
(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
262.0ms
(cbrt (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))))

simplify51.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0355846
11268771
25001736

prune254.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes79.0ms

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

sample471.0ms

Algorithm
intervals
Results
206.0ms10073×body80valid