Details

Time bar (total: 4.5s)

sample18.0ms

Algorithm
intervals
Results
6.0ms317×body80valid

simplify29.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:
23.0ms
(* (- 1.0 x) y)
15.0ms
(+ (* (- 1.0 x) y) (* x z))

series65.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- 1.0 x) y)
35.0ms
(+ (* (- 1.0 x) y) (* x z))

simplify103.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0184181
1787167
24082166
35001166

prune73.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite437.0ms

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:
75.0ms
(* (* (- 1.0 x) y) (* (- 1.0 x) y))
47.0ms
(* (* x z) (* x z))
131.0ms
(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
180.0ms
(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

series331.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (* (- 1.0 x) y) (* (- 1.0 x) y))
31.0ms
(* (* x z) (* x z))
105.0ms
(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
162.0ms
(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

simplify88.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
05611315
128711117
250021096

prune192.0ms

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)))

rewrite152.0ms

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:
109.0ms
(* (cbrt (- (* (- 1.0 x) y) (* x z))) (cbrt (- (* (- 1.0 x) y) (* x z))))
13.0ms
(cbrt (- (* (- 1.0 x) y) (* x z)))
13.0ms
(cbrt (- (* (- 1.0 x) y) (* x z)))
14.0ms
(cbrt (- (* (- 1.0 x) y) (* x z)))

series815.0ms

Counts
4 → 12
Calls
4 calls:
261.0ms
(* (cbrt (- (* (- 1.0 x) y) (* x z))) (cbrt (- (* (- 1.0 x) y) (* x z))))
190.0ms
(cbrt (- (* (- 1.0 x) y) (* x z)))
185.0ms
(cbrt (- (* (- 1.0 x) y) (* x z)))
179.0ms
(cbrt (- (* (- 1.0 x) y) (* x z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03901494
112911413
250011310

prune281.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize25.0ms

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))))

rewrite182.0ms

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:
13.0ms
(cbrt (- (* (- 1.0 x) y) (* x z)))
14.0ms
(cbrt (- (* (- 1.0 x) y) (* x z)))
77.0ms
(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
76.0ms
(cbrt (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))))

series652.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt (- (* (- 1.0 x) y) (* x z)))
185.0ms
(cbrt (- (* (- 1.0 x) y) (* x z)))
108.0ms
(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
172.0ms
(cbrt (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))))

simplify55.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04191006
11476926
25001889

prune281.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes78.0ms

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

sample504.0ms

Algorithm
intervals
Results
214.0ms10085×body80valid