Details

Time bar (total: 2.2s)

sample23.0ms

Algorithm
intervals
Results
12.0ms394×body80valid

simplify287.0ms

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

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-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))
6.0ms
(* 3 (* z z))

series65.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (* 3 (* z z)) (* x y))
26.0ms
(* 3 (* z z))

simplify81.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0166163
1617147
22424143
35003143

prune65.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 3 (pow z 2)) (* x y))
0.2b
(* 3 (pow z 2))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
associate-*r*
add-exp-log
add-cube-cbrt *-un-lft-identity
unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
associate-*l* prod-exp
pow1 unpow2 sqr-pow
+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 38
Calls
2 calls:
3.0ms
(+ (* 3 (pow z 2)) (* x y))
6.0ms
(* 3 (pow z 2))

series62.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (* 3 (pow z 2)) (* x y))
27.0ms
(* 3 (pow z 2))

simplify149.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 3 (146.0ms)

IterNodesCost
0185192
1716173
23524171
35003170

prune92.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* z 3) (pow z (/ 2 2))) (* x y))
0.2b
(* (* z 3) (pow z (/ 2 2)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log
prod-exp
associate-*r* add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
unpow-prod-down cbrt-unprod
pow1 pow-to-exp pow-exp
+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+ sqr-pow
Counts
2 → 35
Calls
2 calls:
7.0ms
(+ (* (* z 3) (pow z (/ 2 2))) (* x y))
9.0ms
(* (* z 3) (pow z (/ 2 2)))

series70.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ (* (* z 3) (pow z (/ 2 2))) (* x y))
27.0ms
(* (* z 3) (pow z (/ 2 2)))

simplify46.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0232212
1998191
25002184

prune84.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

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)))
0.3b
(* (cbrt 3) (* z z))

rewrite65.0ms

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:
26.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
28.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
8.0ms
(* (cbrt 3) (* z z))

series236.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
93.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
52.0ms
(* (cbrt 3) (* z z))

simplify49.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0265553
11032424
25002369

prune130.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes114.0ms

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
0124
1124

end0.0ms

sample545.0ms

Algorithm
intervals
Results
300.0ms12372×body80valid