Details

Time bar (total: 3.2s)

sample52.0ms

Algorithm
intervals
Results
18.0ms226×body80valid
9.0ms30×body1280valid
8.0ms33×body640valid
3.0ms17×body320valid
2.0ms15×body160valid
2.0ms5×body2560valid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (12.0ms)

IterNodesCost
0226
1684
21973
312322
450012

prune5.0ms

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))

rewrite11.0ms

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:
10.0ms
(* y (- x z))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(* y (- x z))

simplify48.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
011298
146288
2188388
3500288

prune44.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x z)) (cbrt (- x z)))
0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))
0.6b
(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×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:
20.0ms
(* (cbrt (- x z)) (cbrt (- x z)))
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))

series565.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(* (cbrt (- x z)) (cbrt (- x z)))
142.0ms
(cbrt (- x z))
148.0ms
(cbrt (- x z))
144.0ms
(cbrt (- x z))

simplify153.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (145.0ms)

IterNodesCost
0260760
1909723
24484670
35001660

prune259.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

3.2b
(- (* x x) (* z z))
11.3b
(* y (- (* x x) (* z z)))
21.4b
(/ (* y (- (* x x) (* z z))) (+ x z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×times-frac associate-*r/ associate-*r* associate-/r*
3×sub-neg flip3-- associate-*l* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out difference-of-squares
1×frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 65
Calls
3 calls:
6.0ms
(- (* x x) (* z z))
10.0ms
(* y (- (* x x) (* z z)))
10.0ms
(/ (* y (- (* x x) (* z z))) (+ x z))

series166.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- (* x x) (* z z))
66.0ms
(* y (- (* x x) (* z z)))
69.0ms
(/ (* y (- (* x x) (* z z))) (+ x z))

simplify56.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0309479
11609402
25001375

prune134.0ms

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

sample1.5s

Algorithm
intervals
Results
551.0ms7088×body80valid
295.0ms976×body1280valid
199.0ms825×body640valid
97.0ms512×body320valid
81.0ms226×body2560valid
69.0ms534×body160valid