Details

Time bar (total: 3.7s)

sample18.0ms

Algorithm
intervals
Results
7.0ms335×body80valid

simplify156.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

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

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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)

simplify59.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (8.0ms)

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) 6.0) z))
0.0b
(* (- y x) 6.0)
0.5b
(* (* (- y x) 6.0) z)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×pow1 add-exp-log add-cbrt-cube
*-un-lft-identity
add-cube-cbrt
associate-*r* associate-*l* associate-*l/
add-log-exp
pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u fma-def log1p-expm1-u
flip3-- *-commutative flip--
+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 62
Calls
3 calls:
3.0ms
(+ x (* (* (- y x) 6.0) z))
10.0ms
(* (- y x) 6.0)
16.0ms
(* (* (- y x) 6.0) z)

series121.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ x (* (* (- y x) 6.0) z))
36.0ms
(* (- y x) 6.0)
39.0ms
(* (* (- y x) 6.0) z)

simplify43.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0259314
11122267
25002265

prune162.0ms

Filtered
71 candidates to 49 candidates (69.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (- y x) 6.0) z)
1.8b
(cbrt (* (* (- y x) 6.0) z))
1.8b
(cbrt (* (* (- y x) 6.0) z))
1.8b
(cbrt (* (* (- y x) 6.0) z))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
16×associate-*l/
pow1 add-exp-log add-cbrt-cube
cbrt-div
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
cbrt-prod pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod
associate-*l* *-commutative
Counts
4 → 61
Calls
4 calls:
16.0ms
(* (* (- y x) 6.0) z)
13.0ms
(cbrt (* (* (- y x) 6.0) z))
17.0ms
(cbrt (* (* (- y x) 6.0) z))
13.0ms
(cbrt (* (* (- y x) 6.0) z))

series645.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (* (- y x) 6.0) z)
203.0ms
(cbrt (* (* (- y x) 6.0) z))
200.0ms
(cbrt (* (* (- y x) 6.0) z))
202.0ms
(cbrt (* (* (- y x) 6.0) z))

simplify41.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0308532
11073482
25001470

prune271.0ms

Filtered
73 candidates to 61 candidates (83.6%)
Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (* (- y x) 6.0) (* (cbrt z) (cbrt z)))
1.8b
(cbrt (* (* (* (- y x) 6.0) (* (cbrt z) (cbrt z))) (cbrt z)))
1.8b
(cbrt (* (* (- y x) 6.0) z))
1.8b
(cbrt (* (* (- y x) 6.0) z))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*l/
16×pow1 add-exp-log
12×add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
cbrt-div
add-sqr-sqrt expm1-log1p-u add-cube-cbrt flip3-- *-un-lft-identity flip-- log1p-expm1-u add-log-exp
cbrt-prod pow1/3
associate-*r* associate-*l* *-commutative
Counts
4 → 65
Calls
4 calls:
24.0ms
(* (* (- y x) 6.0) (* (cbrt z) (cbrt z)))
82.0ms
(cbrt (* (* (* (- y x) 6.0) (* (cbrt z) (cbrt z))) (cbrt z)))
13.0ms
(cbrt (* (* (- y x) 6.0) z))
14.0ms
(cbrt (* (* (- y x) 6.0) z))

series815.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(* (* (- y x) 6.0) (* (cbrt z) (cbrt z)))
229.0ms
(cbrt (* (* (* (- y x) 6.0) (* (cbrt z) (cbrt z))) (cbrt z)))
203.0ms
(cbrt (* (* (- y x) 6.0) z))
195.0ms
(cbrt (* (* (- y x) 6.0) z))

simplify50.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0416744
11396641
25001563

prune318.0ms

Filtered
77 candidates to 64 candidates (83.1%)
Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes143.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample455.0ms

Algorithm
intervals
Results
231.0ms10049×body80valid