Details

Time bar (total: 4.3s)

sample18.0ms

Algorithm
intervals
Results
7.0ms317×body80valid

simplify32.0ms

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

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

rewrite43.0ms

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:
25.0ms
(* (- 1.0 x) y)
17.0ms
(+ (* (- 1.0 x) y) (* x z))

series56.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (- 1.0 x) y)
30.0ms
(+ (* (- 1.0 x) y) (* x z))

simplify101.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0184181
1787167
24082166
35001166

prune76.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (- 1.0 x) y) (* (- 1.0 x) y))
0.3b
(* (* x z) (* x z))
2.1b
(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
28.7b
(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

rewrite374.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
34×pow-prod-down
30×add-exp-log add-cbrt-cube
16×prod-exp cbrt-unprod
14×associate-*l/
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
9×flip3-- flip--
8×pow-sqr pow-prod-up
6×add-log-exp
5×difference-of-squares
4×frac-times pow-plus associate-/l*
3×associate-/r*
2×pow2 associate-*r/ swap-sqr associate-*r* associate-*l* associate-/r/ *-commutative associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 125
Calls
4 calls:
65.0ms
(* (* (- 1.0 x) y) (* (- 1.0 x) y))
28.0ms
(* (* x z) (* x z))
84.0ms
(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
192.0ms
(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

series287.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (* (- 1.0 x) y) (* (- 1.0 x) y))
28.0ms
(* (* x z) (* x z))
92.0ms
(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
138.0ms
(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

simplify87.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
05611315
128711117
250021096

prune216.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite167.0ms

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:
118.0ms
(* (cbrt (- (* (- 1.0 x) y) (* x z))) (cbrt (- (* (- 1.0 x) y) (* x z))))
15.0ms
(cbrt (- (* (- 1.0 x) y) (* x z)))
15.0ms
(cbrt (- (* (- 1.0 x) y) (* x z)))
15.0ms
(cbrt (- (* (- 1.0 x) y) (* x z)))

series698.0ms

Counts
4 → 12
Calls
4 calls:
229.0ms
(* (cbrt (- (* (- 1.0 x) y) (* x z))) (cbrt (- (* (- 1.0 x) y) (* x z))))
153.0ms
(cbrt (- (* (- 1.0 x) y) (* x z)))
157.0ms
(cbrt (- (* (- 1.0 x) y) (* x z)))
159.0ms
(cbrt (- (* (- 1.0 x) y) (* x z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03901494
112911413
250011310

prune308.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- (* (- 1.0 x) y) (* x z)))
0.6b
(cbrt (- (* (- 1.0 x) y) (* x z)))
2.1b
(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
29.5b
(cbrt (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))))

rewrite198.0ms

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 flip3-- add-cbrt-cube flip--
3×pow1/3
2×difference-of-squares
1×sub-neg diff-log
Counts
4 → 53
Calls
4 calls:
15.0ms
(cbrt (- (* (- 1.0 x) y) (* x z)))
15.0ms
(cbrt (- (* (- 1.0 x) y) (* x z)))
84.0ms
(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
83.0ms
(cbrt (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))))

series555.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(cbrt (- (* (- 1.0 x) y) (* x z)))
160.0ms
(cbrt (- (* (- 1.0 x) y) (* x z)))
92.0ms
(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
147.0ms
(cbrt (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))))

simplify60.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04191006
11476926
25001889

prune309.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes86.0ms

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

sample513.0ms

Algorithm
intervals
Results
231.0ms10085×body80valid