Details

Time bar (total: 2.7s)

sample20.0ms

Algorithm
intervals
Results
8.0ms355×body80valid

simplify274.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:
18.0ms
(+ (* 3 (* z z)) (* x y))
16.0ms
(* 3 (* z z))

series61.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* 3 (* z z)) (* x y))
25.0ms
(* 3 (* z z))

simplify79.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0166163
1617147
22424143
35003143

prune70.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
associate-+l+
Counts
3 → 38
Calls
3 calls:
27.0ms
(+ (+ (* x y) (* z z)) (* z z))
7.0ms
(+ (* x y) (* z z))
104.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series133.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ (+ (* x y) (* z z)) (* z z))
36.0ms
(+ (* x y) (* z z))
50.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify126.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (118.0ms)

IterNodesCost
0215352
1978316
23975293
35001282

prune87.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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:
25.0ms
(+ (* (* 3 z) z) (* x y))
16.0ms
(* (* 3 z) z)

series66.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (* (* 3 z) z) (* x y))
29.0ms
(* (* 3 z) z)

simplify124.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (121.0ms)

IterNodesCost
0175161
1815145
24087142
35001141

prune54.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))
0.3b
(* (sqrt 3) (* (sqrt 3) (* z z)))
0.3b
(* (sqrt 3) (* z z))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt *-un-lft-identity sqrt-prod
add-log-exp
associate-*r* *-commutative unswap-sqr
+-commutative flip3-+ sum-log flip-+
Counts
3 → 58
Calls
3 calls:
54.0ms
(+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))
58.0ms
(* (sqrt 3) (* (sqrt 3) (* z z)))
19.0ms
(* (sqrt 3) (* z z))

series215.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))
70.0ms
(* (sqrt 3) (* (sqrt 3) (* z z)))
51.0ms
(* (sqrt 3) (* z z))

simplify155.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (144.0ms)

IterNodesCost
0235391
1963314
24279307
35002303

prune112.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes127.0ms

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

sample626.0ms

Algorithm
intervals
Results
287.0ms12079×body80valid