Details

Time bar (total: 3.0s)

sample24.0ms

Algorithm
intervals
Results
6.0ms225×body80valid
3.0ms28×body1280valid
3.0ms26×body640valid
1.0ms25×body160valid
1.0ms6×body2560valid
1.0ms12×body320valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (15.0ms)

IterNodesCost
0236
1774
22413
314412
450022

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
19×add-sqr-sqrt
18×prod-diff
17×*-un-lft-identity
15×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
5×associate-*r*
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 46
Calls
1 calls:
12.0ms
(* y (- x z))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(* y (- x z))

simplify92.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0190356
1748220
23365190
35001166

prune51.0ms

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))

rewrite30.0ms

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×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 109
Calls
4 calls:
20.0ms
(* (cbrt (- x z)) (cbrt (- x z)))
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))

series546.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(* (cbrt (- x z)) (cbrt (- x z)))
140.0ms
(cbrt (- x z))
143.0ms
(cbrt (- x z))
142.0ms
(cbrt (- x z))

simplify153.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (145.0ms)

IterNodesCost
0269790
1945753
24616700
35001694

prune294.0ms

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)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
130×sqrt-prod
108×prod-diff
101×add-sqr-sqrt
99×*-un-lft-identity
83×add-cube-cbrt
39×distribute-rgt-in distribute-lft-in
14×associate-*r*
11×pow1 add-exp-log add-cbrt-cube
10×associate-*r/
8×add-log-exp difference-of-squares
6×fma-def fma-neg
5×flip3-+ flip-+
4×expm1-log1p-u frac-times flip3-- associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod log1p-expm1-u distribute-lft-out distribute-lft-out--
3×sub-neg
2×associate-*l/ *-commutative
1×+-commutative diff-log sum-log unswap-sqr
Counts
4 → 219
Calls
4 calls:
8.0ms
(- (sqrt x) (sqrt z))
6.0ms
(+ (sqrt x) (sqrt z))
21.0ms
(* y (+ (sqrt x) (sqrt z)))
50.0ms
(* (* y (+ (sqrt x) (sqrt z))) (- (sqrt x) (sqrt z)))

series300.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(- (sqrt x) (sqrt z))
44.0ms
(+ (sqrt x) (sqrt z))
53.0ms
(* y (+ (sqrt x) (sqrt z)))
151.0ms
(* (* y (+ (sqrt x) (sqrt z))) (- (sqrt x) (sqrt z)))

simplify110.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
07453652
141582588
250012566

prune384.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes47.0ms

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

sample713.0ms

Algorithm
intervals
Results
197.0ms7001×body80valid
115.0ms882×body1280valid
95.0ms896×body640valid
43.0ms571×body320valid
32.0ms206×body2560valid
30.0ms575×body160valid