Details

Time bar (total: 2.5s)

sample31.0ms

Algorithm
intervals
Results
20.0ms386×body80valid

simplify269.0ms

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))

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))

series60.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* 3 (* z z)) (* x y))
23.0ms
(* 3 (* z z))

simplify77.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0166163
1617147
22424143
35003143

prune70.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1 (* 3 (* z z))) (* x y))
0.2b
(* 3 (* z z))

rewrite26.0ms

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
(+ (* 1 (* 3 (* z z))) (* x y))
6.0ms
(* 3 (* z z))

series57.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (* 1 (* 3 (* z z))) (* x y))
24.0ms
(* 3 (* z z))

simplify130.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
0185178
1761155
23982154
35001153

prune73.0ms

Pruning

6 alts after pruning (5 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)

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

series60.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ (* (* 3 z) z) (* x y))
23.0ms
(* (* 3 z) z)

simplify126.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (123.0ms)

IterNodesCost
0175161
1815145
24087142
35001141

prune62.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3 (* z z))
0.4b
(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
18.6b
(sqrt (* 3 (* z z)))
18.6b
(sqrt (* 3 (* z z)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
12×add-sqr-sqrt
11×add-exp-log pow-sqr add-cbrt-cube
add-cube-cbrt *-un-lft-identity
associate-*l*
sqrt-prod
associate-*r*
swap-sqr prod-exp cbrt-unprod add-log-exp
*-commutative unswap-sqr
pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 109
Calls
4 calls:
6.0ms
(* 3 (* z z))
39.0ms
(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
5.0ms
(sqrt (* 3 (* z z)))
5.0ms
(sqrt (* 3 (* z z)))

series166.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 3 (* z z))
70.0ms
(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
38.0ms
(sqrt (* 3 (* z z)))
34.0ms
(sqrt (* 3 (* z z)))

simplify34.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0169344
1783285
25001269

prune173.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes126.0ms

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
0164
1184
2184

end0.0ms

sample841.0ms

Algorithm
intervals
Results
589.0ms12325×body80valid