Details

Time bar (total: 2.2s)

sample21.0ms

Algorithm
intervals
Results
9.0ms378×body80valid

simplify277.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0157
1256
2374
3474
4564
5894
61584
72084
82214
93164
106464
1131994
1250034

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 3 (* z z)) (* x y))
0.2b
(* 3 (* z z))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
5.0ms
(+ (* 3 (* z z)) (* x y))
5.0ms
(* 3 (* z z))

series59.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (* 3 (* z z)) (* x y))
25.0ms
(* 3 (* z z))

simplify79.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0166163
1617147
22424143
35003143

prune72.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* z z))
0.1b
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
associate-+l+
Counts
2 → 25
Calls
2 calls:
4.0ms
(+ (* x y) (* z z))
8.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series93.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ (* x y) (* z z))
49.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify101.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0179246
1805211
23168194
35001194

prune70.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* 3 z) z) (* x y))
0.2b
(* (* 3 z) z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
5.0ms
(+ (* (* 3 z) z) (* x y))
5.0ms
(* (* 3 z) z)

series62.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (* (* 3 z) z) (* x y))
28.0ms
(* (* 3 z) z)

simplify134.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
0175161
1815145
24087142
35001141

prune60.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
0.2b
(* (cbrt 3) (* z z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
add-sqr-sqrt associate-*l*
add-cube-cbrt *-un-lft-identity add-log-exp
cbrt-prod
associate-*r* *-commutative unswap-sqr
+-commutative flip3-+ sum-log flip-+
Counts
3 → 62
Calls
3 calls:
12.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
12.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
6.0ms
(* (cbrt 3) (* z z))

series223.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
88.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
50.0ms
(* (cbrt 3) (* z z))

simplify40.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0265553
11032424
25002369

prune115.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes124.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127
1127

end0.0ms

sample573.0ms

Algorithm
intervals
Results
312.0ms12115×body80valid