Details

Time bar (total: 4.3s)

sample15.0ms

Algorithm
intervals
Results
7.0ms317×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1193
2283
3403
4503
5733
61023
71183
81453
91743
101903
111903

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) z)
0.0b
(+ x (/ (- y x) z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
21×add-sqr-sqrt
15×times-frac
13×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×fma-def associate-/r*
2×pow1 expm1-log1p-u div-sub log1p-expm1-u associate-/l/
1×cbrt-undiv +-commutative associate-+r- flip3-- frac-2neg flip3-+ div-exp clear-num sum-log flip-- flip-+ div-inv distribute-lft-out
Counts
2 → 58
Calls
2 calls:
6.0ms
(/ (- y x) z)
8.0ms
(+ x (/ (- y x) z))

series50.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (- y x) z)
25.0ms
(+ x (/ (- y x) z))

simplify61.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0230286
1705273
23068273
35001273

prune114.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (- y x) z)) (cbrt (/ (- y x) z)))
3.2b
(cbrt (/ (- y x) z))
3.2b
(cbrt (/ (- y x) z))
3.2b
(cbrt (/ (- y x) z))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
157×cbrt-prod
141×add-sqr-sqrt
135×*-un-lft-identity
123×times-frac
75×add-cube-cbrt
28×swap-sqr
27×distribute-lft-out--
22×associate-*r* associate-*l*
21×difference-of-squares
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 194
Calls
4 calls:
19.0ms
(* (cbrt (/ (- y x) z)) (cbrt (/ (- y x) z)))
4.0ms
(cbrt (/ (- y x) z))
4.0ms
(cbrt (/ (- y x) z))
4.0ms
(cbrt (/ (- y x) z))

series592.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(* (cbrt (/ (- y x) z)) (cbrt (/ (- y x) z)))
143.0ms
(cbrt (/ (- y x) z))
136.0ms
(cbrt (/ (- y x) z))
144.0ms
(cbrt (/ (- y x) z))

simplify62.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04452042
114561987
250011893

prune568.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ 1 z))
0.6b
(cbrt (- y x))
3.2b
(cbrt (/ (- y x) z))
3.2b
(cbrt (/ (- y x) z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
56×cbrt-prod
44×add-sqr-sqrt *-un-lft-identity
39×times-frac
30×add-cube-cbrt
7×distribute-lft-out-- difference-of-squares
5×cbrt-div
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×div-inv
1×flip3-- flip--
Counts
4 → 101
Calls
4 calls:
3.0ms
(cbrt (/ 1 z))
3.0ms
(cbrt (- y x))
4.0ms
(cbrt (/ (- y x) z))
4.0ms
(cbrt (/ (- y x) z))

series610.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt (/ 1 z))
153.0ms
(cbrt (- y x))
140.0ms
(cbrt (/ (- y x) z))
138.0ms
(cbrt (/ (- y x) z))

simplify85.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
0387788
1882764
23220739
35002704

prune385.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series743.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (cbrt z) (cbrt z))
186.0ms
(cbrt z)
177.0ms
(cbrt z)
178.0ms
(cbrt z)

simplify92.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune241.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes79.0ms

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
073
173

end0.0ms

sample408.0ms

Algorithm
intervals
Results
208.0ms10108×body80valid