Details

Time bar (total: 4.4s)

sample24.0ms

Algorithm
intervals
Results
14.0ms297×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1214
2244
3254
4254

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (/ (* x y) 2.0) (/ z 8.0))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
3×*-un-lft-identity add-log-exp
2×difference-of-squares
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- times-frac diff-log frac-sub add-cbrt-cube flip-- distribute-lft-out--
Counts
1 → 16
Calls
1 calls:
12.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

simplify84.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0115137
1308128
2921127
33399127
45001127

prune38.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) 2.0) (/ z 8.0))
0.2b
(pow (- (/ (* x y) 2.0) (/ z 8.0)) 3)
35.7b
(cbrt (pow (- (/ (* x y) 2.0) (/ z 8.0)) 3))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
19×*-un-lft-identity
18×cbrt-prod
12×unpow-prod-down cube-prod
10×difference-of-squares
9×add-cube-cbrt
6×cube-div
5×times-frac distribute-lft-out-- add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow-unpow cbrt-div flip3-- frac-sub flip--
2×cube-mult unpow3 sqr-pow
1×pow-to-exp sub-neg pow-pow pow1/3 diff-log pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
3 → 78
Calls
3 calls:
13.0ms
(- (/ (* x y) 2.0) (/ z 8.0))
21.0ms
(pow (- (/ (* x y) 2.0) (/ z 8.0)) 3)
21.0ms
(cbrt (pow (- (/ (* x y) 2.0) (/ z 8.0)) 3))

series185.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- (/ (* x y) 2.0) (/ z 8.0))
97.0ms
(pow (- (/ (* x y) 2.0) (/ z 8.0)) 3)
42.0ms
(cbrt (pow (- (/ (* x y) 2.0) (/ z 8.0)) 3))

simplify44.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0323718
11262691
25002681

prune150.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (/ (* x y) 2.0) (/ z 8.0)) (- (/ (* x y) 2.0) (/ z 8.0)))
0.4b
(* (cbrt (- (/ (* x y) 2.0) (/ z 8.0))) (cbrt (* (- (/ (* x y) 2.0) (/ z 8.0)) (- (/ (* x y) 2.0) (/ z 8.0)))))
0.6b
(cbrt (- (/ (* x y) 2.0) (/ z 8.0)))
25.6b
(cbrt (* (- (/ (* x y) 2.0) (/ z 8.0)) (- (/ (* x y) 2.0) (/ z 8.0))))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
126×cbrt-div
99×frac-times
65×flip3-- frac-sub flip--
50×add-sqr-sqrt
33×associate-*r/
30×*-un-lft-identity
21×associate-*l/
19×cbrt-prod
15×associate-*l*
13×pow1
12×add-cube-cbrt difference-of-squares
10×associate-*r*
8×add-exp-log swap-sqr distribute-lft-out--
6×times-frac add-cbrt-cube
5×unswap-sqr
4×pow1/3 add-log-exp
3×pow-prod-down
2×distribute-rgt-in sub-neg distribute-lft-in prod-exp *-commutative cbrt-unprod
1×pow2 pow-plus cube-unmult pow-sqr pow-prod-up
Counts
4 → 189
Calls
4 calls:
87.0ms
(* (- (/ (* x y) 2.0) (/ z 8.0)) (- (/ (* x y) 2.0) (/ z 8.0)))
64.0ms
(* (cbrt (- (/ (* x y) 2.0) (/ z 8.0))) (cbrt (* (- (/ (* x y) 2.0) (/ z 8.0)) (- (/ (* x y) 2.0) (/ z 8.0)))))
10.0ms
(cbrt (- (/ (* x y) 2.0) (/ z 8.0)))
25.0ms
(cbrt (* (- (/ (* x y) 2.0) (/ z 8.0)) (- (/ (* x y) 2.0) (/ z 8.0))))

series474.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (- (/ (* x y) 2.0) (/ z 8.0)) (- (/ (* x y) 2.0) (/ z 8.0)))
42.0ms
(* (cbrt (- (/ (* x y) 2.0) (/ z 8.0))) (cbrt (* (- (/ (* x y) 2.0) (/ z 8.0)) (- (/ (* x y) 2.0) (/ z 8.0)))))
178.0ms
(cbrt (- (/ (* x y) 2.0) (/ z 8.0)))
197.0ms
(cbrt (* (- (/ (* x y) 2.0) (/ z 8.0)) (- (/ (* x y) 2.0) (/ z 8.0))))

simplify87.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
07524320
124574200
250014143

prune544.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- (/ (* x y) 2.0) (/ z 8.0)))
2.8b
(* (- (/ (* x y) 2.0) (/ z 8.0)) (/ (* x y) 2.0))
3.0b
(+ (* (- (/ (* x y) 2.0) (/ z 8.0)) (/ (* x y) 2.0)) (* (- (/ (* x y) 2.0) (/ z 8.0)) (- (/ z 8.0))))
25.6b
(cbrt (+ (* (- (/ (* x y) 2.0) (/ z 8.0)) (/ (* x y) 2.0)) (* (- (/ (* x y) 2.0) (/ z 8.0)) (- (/ z 8.0)))))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
98×frac-add
87×frac-times associate-*l/
59×flip3-- frac-sub flip--
56×distribute-neg-frac
54×cbrt-div
29×associate-*r/
21×add-sqr-sqrt
13×add-exp-log *-un-lft-identity add-cbrt-cube
10×cbrt-prod
9×add-cube-cbrt
7×associate-*r*
6×pow1 associate-*l* add-log-exp
5×times-frac
4×prod-exp cbrt-unprod difference-of-squares
2×cbrt-undiv flip3-+ pow1/3 div-exp distribute-rgt-neg-out flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative unsub-neg pow-prod-down sum-log *-commutative div-inv unswap-sqr
Counts
4 → 179
Calls
4 calls:
10.0ms
(cbrt (- (/ (* x y) 2.0) (/ z 8.0)))
53.0ms
(* (- (/ (* x y) 2.0) (/ z 8.0)) (/ (* x y) 2.0))
28.0ms
(+ (* (- (/ (* x y) 2.0) (/ z 8.0)) (/ (* x y) 2.0)) (* (- (/ (* x y) 2.0) (/ z 8.0)) (- (/ z 8.0))))
23.0ms
(cbrt (+ (* (- (/ (* x y) 2.0) (/ z 8.0)) (/ (* x y) 2.0)) (* (- (/ (* x y) 2.0) (/ z 8.0)) (- (/ z 8.0)))))

series537.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt (- (/ (* x y) 2.0) (/ z 8.0)))
51.0ms
(* (- (/ (* x y) 2.0) (/ z 8.0)) (/ (* x y) 2.0))
84.0ms
(+ (* (- (/ (* x y) 2.0) (/ z 8.0)) (/ (* x y) 2.0)) (* (- (/ (* x y) 2.0) (/ z 8.0)) (- (/ z 8.0))))
216.0ms
(cbrt (+ (* (- (/ (* x y) 2.0) (/ z 8.0)) (/ (* x y) 2.0)) (* (- (/ (* x y) 2.0) (/ z 8.0)) (- (/ z 8.0)))))

simplify87.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
015235730
150015473

prune845.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes106.0ms

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
0104
1104

end0.0ms

sample650.0ms

Algorithm
intervals
Results
456.0ms9194×body80valid
0.0ms1×body320valid