Details

Time bar (total: 4.8s)

sample18.0ms

Algorithm
intervals
Results
8.0ms293×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0133
1313
2563
3623
4623

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* (* y 4.0) z))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
2.0ms
(- x (* (* y 4.0) z))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(- x (* (* y 4.0) z))

simplify56.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
08379
128872
2150772
3500172

prune36.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.6b
(+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x))
2.9b
(* (* (* y 4.0) z) (+ (* (* y 4.0) z) x))
2.9b
(- (pow x 3) (pow (* (* y 4.0) z) 3))
38.9b
(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
73×add-sqr-sqrt
40×difference-of-squares
39×times-frac
33×*-un-lft-identity
30×sqr-pow
23×add-cube-cbrt
15×add-exp-log add-cbrt-cube
13×pow1 associate-/l*
10×unpow-prod-down cube-prod
8×add-log-exp
6×pow-prod-down prod-exp cbrt-unprod
5×difference-cubes distribute-lft-out--
3×flip3-+ associate-*r* associate-/r* flip-+
2×distribute-rgt-in associate-+l+ flip3-- distribute-lft-in associate-*r/ associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp associate-*l* clear-num sum-log *-commutative div-inv
Counts
4 → 132
Calls
4 calls:
27.0ms
(+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x))
41.0ms
(* (* (* y 4.0) z) (+ (* (* y 4.0) z) x))
13.0ms
(- (pow x 3) (pow (* (* y 4.0) z) 3))
86.0ms
(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))

series433.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x))
45.0ms
(* (* (* y 4.0) z) (+ (* (* y 4.0) z) x))
182.0ms
(- (pow x 3) (pow (* (* y 4.0) z) 3))
130.0ms
(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))

simplify123.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
06332509
133982386
250012384

prune424.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

14.9b
(/ (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (pow x 2)) (cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x))))
29.8b
(cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))
29.8b
(cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))
29.8b
(cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×cbrt-prod
18×times-frac
8×cbrt-div
6×add-exp-log associate-/r*
5×flip3-+ add-cbrt-cube flip-+
4×pow1 add-log-exp
3×pow1/3 associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 82
Calls
4 calls:
136.0ms
(/ (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (pow x 2)) (cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x))))
27.0ms
(cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))
29.0ms
(cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))
27.0ms
(cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))

series768.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(/ (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (pow x 2)) (cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x))))
191.0ms
(cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))
188.0ms
(cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))
190.0ms
(cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))

simplify55.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03692068
113811899
250011891

prune437.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

29.8b
(cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))
29.8b
(cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))
29.8b
(cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))
29.8b
(cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
27.0ms
(cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))
26.0ms
(cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))
28.0ms
(cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))
27.0ms
(cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))

series747.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))
187.0ms
(cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))
191.0ms
(cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))
186.0ms
(cbrt (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))

simplify160.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (148.0ms)

IterNodesCost
01791016
1609940
23529932
35001912

prune374.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes143.0ms

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
093
193

end0.0ms

sample360.0ms

Algorithm
intervals
Results
178.0ms9125×body80valid