Details

Time bar (total: 3.8s)

sample22.0ms

Algorithm
intervals
Results
10.0ms327×body80valid

simplify190.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0154
1323
2733
31503
42353
52773
63173
73713
85423
99743
1020153
1127363
1236063
1346763
1450013

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(fma (- y x) (* 6.0 z) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (- y x) (* 6.0 z) x)

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(fma (- y x) (* 6.0 z) x)

simplify69.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
04469
111059
234353
3168453
4500253

prune38.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) 6.0) z))
0.0b
(* (- y x) 6.0)
0.3b
(* (* (- y x) 6.0) z)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×pow1 add-exp-log add-cbrt-cube
9×*-un-lft-identity
7×add-cube-cbrt
6×associate-*r* associate-*l* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u fma-def log1p-expm1-u
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 62
Calls
3 calls:
2.0ms
(+ x (* (* (- y x) 6.0) z))
9.0ms
(* (- y x) 6.0)
14.0ms
(* (* (- y x) 6.0) z)

series124.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ x (* (* (- y x) 6.0) z))
31.0ms
(* (- y x) 6.0)
43.0ms
(* (* (- y x) 6.0) z)

simplify51.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0259314
11122267
25002265

prune159.0ms

Filtered
71 candidates to 48 candidates (67.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

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)

rewrite13.0ms

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)
4.0ms
(cbrt z)

series829.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(* (cbrt z) (cbrt z))
209.0ms
(cbrt z)
199.0ms
(cbrt z)
194.0ms
(cbrt z)

simplify107.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune289.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- y x)) (cbrt (- y x)))
0.6b
(cbrt (- y x))
0.6b
(cbrt (- y x))
0.6b
(cbrt (- y x))

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

series642.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
163.0ms
(cbrt (- y x))
161.0ms
(cbrt (- y x))
172.0ms
(cbrt (- y x))

simplify183.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (173.0ms)

IterNodesCost
0270790
1948753
24624700
35001694

prune366.0ms

Filtered
121 candidates to 89 candidates (73.6%)
Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes118.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample456.0ms

Algorithm
intervals
Results
240.0ms10101×body80valid