Details

Time bar (total: 3.0s)

sample17.0ms

Algorithm
intervals
Results
7.0ms335×body80valid

simplify31.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
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) (* x z))
0.0b
(* (- 1.0 x) y)

rewrite17.0ms

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:
5.0ms
(+ (* (- 1.0 x) y) (* x z))
11.0ms
(* (- 1.0 x) y)

series65.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (* (- 1.0 x) y) (* x z))
32.0ms
(* (- 1.0 x) y)

simplify112.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0184181
1787167
24082166
35001166

prune81.0ms

Filtered
39 candidates to 29 candidates (74.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
0.5b
(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b
(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b
(cbrt (+ (* (- 1.0 x) y) (* x z)))

rewrite55.0ms

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

series719.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
171.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
172.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
175.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03791485
112221402
250011300

prune259.0ms

Filtered
99 candidates to 75 candidates (75.8%)
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
(sqrt (- 1.0 x))
0.0b
(sqrt (- 1.0 x))
0.1b
(* (sqrt (- 1.0 x)) y)
0.1b
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
21×sqrt-prod
19×*-un-lft-identity
18×sqrt-div
16×associate-*l*
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*l/
9×flip3-- flip--
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
4.0ms
(sqrt (- 1.0 x))
4.0ms
(sqrt (- 1.0 x))
11.0ms
(* (sqrt (- 1.0 x)) y)
27.0ms
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

series187.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(sqrt (- 1.0 x))
35.0ms
(sqrt (- 1.0 x))
91.0ms
(* (sqrt (- 1.0 x)) y)
30.0ms
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

simplify122.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0329600
11113526
24769512
35001512

prune233.0ms

Filtered
103 candidates to 69 candidates (67.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (cbrt (pow (* (- 1.0 x) y) 3)) (* x z))
0.0b
(* (- 1.0 x) y)
0.1b
(pow (* (- 1.0 x) y) 3)
38.6b
(cbrt (pow (* (- 1.0 x) y) 3))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×*-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
8×cbrt-prod add-cube-cbrt
6×associate-*l/ add-log-exp
5×associate-*l*
4×cube-div
3×pow-unpow flip3-- associate-*r* flip--
2×cube-mult unpow-prod-down cbrt-div pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
1×+-commutative pow-to-exp flip3-+ pow1/3 sum-log *-commutative rem-cbrt-cube flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 76
Calls
4 calls:
8.0ms
(+ (cbrt (pow (* (- 1.0 x) y) 3)) (* x z))
10.0ms
(* (- 1.0 x) y)
5.0ms
(pow (* (- 1.0 x) y) 3)
2.0ms
(cbrt (pow (* (- 1.0 x) y) 3))

series162.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(+ (cbrt (pow (* (- 1.0 x) y) 3)) (* x z))
28.0ms
(* (- 1.0 x) y)
32.0ms
(pow (* (- 1.0 x) y) 3)
48.0ms
(cbrt (pow (* (- 1.0 x) y) 3))

simplify54.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0335440
11588390
25002389

prune178.0ms

Filtered
88 candidates to 61 candidates (69.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes74.0ms

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

sample470.0ms

Algorithm
intervals
Results
251.0ms10102×body80valid