Details

Time bar (total: 2.4s)

sample23.0ms

Algorithm
intervals
Results
12.0ms323×body80valid

simplify87.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (37.0ms)

IterNodesCost
0226
1466
21116
32376
44056
55956
69196
726275
850015

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x z) y)
0.0b
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
associate-/l*
add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
associate-/r*
pow1 associate-+r+ associate-/l/
cbrt-undiv +-commutative distribute-rgt-in flip3-- frac-2neg distribute-lft-in flip3-+ div-sub div-exp clear-num sum-log flip-- flip-+ div-inv
Counts
2 → 51
Calls
2 calls:
7.0ms
(/ (- x z) y)
2.0ms
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

series54.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (- x z) y)
27.0ms
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

simplify83.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0264320
1853293
23888293
35001293

prune131.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ x y) (/ z y))
0.0b
(+ 1.0 (* 4.0 (+ 0.25 (- (/ x y) (/ z y)))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×*-un-lft-identity
10×times-frac
add-log-exp
add-cube-cbrt distribute-lft-out-- difference-of-squares
pow1 add-exp-log associate-+r+ add-cbrt-cube div-inv
+-commutative distribute-rgt-in sub-neg flip3-- distribute-rgt-out-- distribute-lft-in flip3-+ diff-log sum-log frac-sub flip-- flip-+ sub-div
Counts
2 → 36
Calls
2 calls:
18.0ms
(- (/ x y) (/ z y))
2.0ms
(+ 1.0 (* 4.0 (+ 0.25 (- (/ x y) (/ z y)))))

series48.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(- (/ x y) (/ z y))
26.0ms
(+ 1.0 (* 4.0 (+ 0.25 (- (/ x y) (/ z y)))))

simplify68.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0224291
1662267
22847267
35001267

prune106.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0))
0.2b
(pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)
5.5b
(- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)
21.2b
(/ (+ (pow 1.0 3) (pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)) (+ (* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)) (* 1.0 1.0)))

rewrite276.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
16×add-sqr-sqrt add-cube-cbrt
15×times-frac
14×add-exp-log add-cbrt-cube
12×pow1
10×associate-*r/
distribute-rgt-in distribute-lft-in
flip3-+ associate--l+ flip-+ add-log-exp
associate-/l*
frac-times flip3-- pow-prod-down prod-exp sum-cubes flip-- cbrt-unprod distribute-lft-out
sub-neg pow-unpow associate-*r* associate-/r*
cube-div pow-pow associate-*l/ pow-exp associate-/r/ associate-/l/ rem-cube-cbrt
cbrt-undiv cube-mult pow-to-exp unpow-prod-down frac-2neg diff-log unpow3 cube-prod div-exp associate-*l* clear-num *-commutative div-inv sqr-pow
Counts
4 → 111
Calls
4 calls:
91.0ms
(* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0))
13.0ms
(pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)
14.0ms
(- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)
155.0ms
(/ (+ (pow 1.0 3) (pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)) (+ (* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)) (* 1.0 1.0)))

series418.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0))
119.0ms
(pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)
43.0ms
(- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)
189.0ms
(/ (+ (pow 1.0 3) (pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)) (+ (* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)) (* 1.0 1.0)))

simplify118.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
06752125
137401950
250011944

prune385.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes46.0ms

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
0156
1156

end0.0ms

sample523.0ms

Algorithm
intervals
Results
311.0ms10106×body80valid