Details

Time bar (total: 2.4s)

sample19.0ms

Algorithm
intervals
Results
9.0ms377×body80valid

simplify284.0ms

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

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 2 expressions with local error:

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

rewrite14.0ms

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:
6.0ms
(+ (* 3 (* z z)) (* x y))
7.0ms
(* 3 (* z z))

series57.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (* 3 (* z z)) (* x y))
24.0ms
(* 3 (* z z))

simplify82.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0166163
1617147
22424143
35003143

prune67.0ms

Filtered
36 candidates to 23 candidates (63.9%)
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))
0.0b
(+ (+ (* x y) (* z z)) (* z z))
0.1b
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite60.0ms

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:
2.0ms
(+ (* x y) (* z z))
13.0ms
(+ (+ (* x y) (* z z)) (* z z))
44.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series127.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (* x y) (* z z))
47.0ms
(+ (+ (* x y) (* z z)) (* z z))
45.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify123.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (118.0ms)

IterNodesCost
0215352
1978316
23975293
35001282

prune91.0ms

Filtered
47 candidates to 34 candidates (72.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:
6.0ms
(+ (* (* 3 z) z) (* x y))
7.0ms
(* (* 3 z) z)

series58.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* (* 3 z) z) (* x y))
25.0ms
(* (* 3 z) z)

simplify128.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (125.0ms)

IterNodesCost
0175161
1815145
24087142
35001141

prune56.0ms

Filtered
35 candidates to 21 candidates (60.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 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))

rewrite55.0ms

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:
20.0ms
(+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))
24.0ms
(* (sqrt 3) (* (sqrt 3) (* z z)))
8.0ms
(* (sqrt 3) (* z z))

series203.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))
65.0ms
(* (sqrt 3) (* (sqrt 3) (* z z)))
47.0ms
(* (sqrt 3) (* z z))

simplify154.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (149.0ms)

IterNodesCost
0235391
1963314
24279307
35002303

prune114.0ms

Filtered
67 candidates to 41 candidates (61.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes116.0ms

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

sample527.0ms

Algorithm
intervals
Results
293.0ms12155×body80valid