Details

Time bar (total: 3.4s)

sample53.0ms

Algorithm
intervals
Results
19.0ms226×body80valid
9.0ms31×body1280valid
8.0ms34×body640valid
3.0ms17×body320valid
2.0ms5×body2560valid
2.0ms13×body160valid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0217
1724
22372
313982
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))

rewrite13.0ms

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:
11.0ms
(* y (- x z))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(* y (- x z))

simplify94.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0190356
1748220
23365190
35001166

prune47.0ms

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))

rewrite29.0ms

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:
19.0ms
(* (cbrt (- x z)) (cbrt (- x z)))
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))

series550.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(* (cbrt (- x z)) (cbrt (- x z)))
143.0ms
(cbrt (- x z))
143.0ms
(cbrt (- x z))
142.0ms
(cbrt (- x z))

simplify157.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (149.0ms)

IterNodesCost
0269790
1945753
24616700
35001694

prune302.0ms

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))

rewrite25.0ms

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×distribute-rgt-in expm1-log1p-u sub-neg flip3-- distribute-lft-in associate-*l* prod-diff flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out difference-of-squares
1×frac-2neg flip3-+ fma-neg diff-log pow-prod-down clear-num *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 75
Calls
3 calls:
3.0ms
(- (* x x) (* z z))
10.0ms
(* y (- (* x x) (* z z)))
11.0ms
(/ (* y (- (* x x) (* z z))) (+ x z))

series161.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- (* x x) (* z z))
61.0ms
(* y (- (* x x) (* z z)))
69.0ms
(/ (* y (- (* x x) (* z z))) (+ x z))

simplify50.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0328531
11692456
25002423

prune182.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes44.0ms

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
546.0ms7087×body80valid
302.0ms1001×body1280valid
219.0ms910×body640valid
114.0ms597×body320valid
80.0ms226×body2560valid
44.0ms340×body160valid