Details

Time bar (total: 2.7s)

sample25.0ms

Algorithm
intervals
Results
6.0ms225×body80valid
4.0ms29×body1280valid
3.0ms28×body640valid
1.0ms21×body160valid
1.0ms13×body320valid
1.0ms6×body2560valid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0207
1644
21872
311712
450012

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* y (- x z))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×*-un-lft-identity associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 26
Calls
1 calls:
13.0ms
(* y (- x z))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(* y (- x z))

simplify45.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
011298
146288
2188388
3500288

prune43.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (- x z)) (cbrt (- x z)))
0.5b
(cbrt (- x z))
0.5b
(cbrt (- x z))
0.5b
(cbrt (- x z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
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 → 101
Calls
4 calls:
21.0ms
(* (cbrt (- x z)) (cbrt (- x z)))
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))

series572.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(* (cbrt (- x z)) (cbrt (- x z)))
146.0ms
(cbrt (- x z))
146.0ms
(cbrt (- x z))
148.0ms
(cbrt (- x z))

simplify158.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (149.0ms)

IterNodesCost
0260760
1909723
24484670
35001660

prune269.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (sqrt x) (sqrt z))
0.0b
(+ (sqrt x) (sqrt z))
0.0b
(* y (+ (sqrt x) (sqrt z)))
0.1b
(* (* y (+ (sqrt x) (sqrt z))) (- (sqrt x) (sqrt z)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
23×*-un-lft-identity
16×sqrt-prod
14×associate-*r*
11×pow1 add-exp-log add-cbrt-cube
10×associate-*r/
8×add-log-exp difference-of-squares
7×add-cube-cbrt
5×flip3-+ flip-+
4×frac-times flip3-- associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod distribute-lft-out distribute-lft-out--
3×distribute-rgt-in sub-neg distribute-lft-in
2×associate-*l/ *-commutative
1×+-commutative diff-log sum-log unswap-sqr
Counts
4 → 91
Calls
4 calls:
6.0ms
(- (sqrt x) (sqrt z))
6.0ms
(+ (sqrt x) (sqrt z))
21.0ms
(* y (+ (sqrt x) (sqrt z)))
45.0ms
(* (* y (+ (sqrt x) (sqrt z))) (- (sqrt x) (sqrt z)))

series315.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- (sqrt x) (sqrt z))
45.0ms
(+ (sqrt x) (sqrt z))
57.0ms
(* y (+ (sqrt x) (sqrt z)))
157.0ms
(* (* y (+ (sqrt x) (sqrt z))) (- (sqrt x) (sqrt z)))

simplify65.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0433806
12287641
25003632

prune199.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes51.0ms

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
062
162

end0.0ms

sample719.0ms

Algorithm
intervals
Results
190.0ms7000×body80valid
119.0ms909×body1280valid
99.0ms996×body640valid
51.0ms650×body320valid
33.0ms206×body2560valid
22.0ms370×body160valid