Details

Time bar (total: 2.5s)

sample17.0ms

Algorithm
intervals
Results
7.0ms338×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1123
2123

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
2.0ms
(+ x (* (* y z) z))
9.0ms
(* (* y z) z)

series90.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(+ x (* (* y z) z))
34.0ms
(* (* y z) z)

simplify107.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (104.0ms)

IterNodesCost
0159140
1724123
23491123
35001122

prune64.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (pow z 2)))
10.4b
(* y (pow z 2))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
7×add-exp-log
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
3×associate-*l* prod-exp
2×pow1 unpow2 sqr-pow
1×+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 38
Calls
2 calls:
2.0ms
(+ x (* y (pow z 2)))
8.0ms
(* y (pow z 2))

series76.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ x (* y (pow z 2)))
27.0ms
(* y (pow z 2))

simplify126.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 3 (120.0ms)

IterNodesCost
0171170
1624152
23136152
35001151

prune84.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

10.4b
(* y (pow z 2))
10.4b
(* y (pow z 2))
14.7b
(sqrt (* y (pow z 2)))
14.7b
(sqrt (* y (pow z 2)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
16×associate-*r*
14×add-exp-log
10×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down add-cbrt-cube unswap-sqr
6×pow1 associate-*l* prod-exp
4×unpow2 add-log-exp sqr-pow
2×pow-to-exp sqrt-pow1 pow1/2 pow-exp sqrt-prod *-commutative cbrt-unprod
Counts
4 → 74
Calls
4 calls:
8.0ms
(* y (pow z 2))
5.0ms
(* y (pow z 2))
2.0ms
(sqrt (* y (pow z 2)))
2.0ms
(sqrt (* y (pow z 2)))

series186.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* y (pow z 2))
25.0ms
(* y (pow z 2))
72.0ms
(sqrt (* y (pow z 2)))
62.0ms
(sqrt (* y (pow z 2)))

simplify208.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0187326
1774278
24600268
35001268

prune201.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

14.7b
(sqrt (* y (pow z 2)))
17.9b
(cbrt (* y (pow z 2)))
17.9b
(cbrt (* y (pow z 2)))
17.9b
(cbrt (* y (pow z 2)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
5×pow1
4×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×cbrt-prod pow1/3
1×sqrt-pow1 pow1/2 sqrt-prod
Counts
4 → 37
Calls
4 calls:
2.0ms
(sqrt (* y (pow z 2)))
2.0ms
(cbrt (* y (pow z 2)))
2.0ms
(cbrt (* y (pow z 2)))
2.0ms
(cbrt (* y (pow z 2)))

series331.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(sqrt (* y (pow z 2)))
86.0ms
(cbrt (* y (pow z 2)))
88.0ms
(cbrt (* y (pow z 2)))
94.0ms
(cbrt (* y (pow z 2)))

simplify57.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0178263
1470232
21841196
35002188

prune163.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes142.0ms

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
093
193

end0.0ms

sample528.0ms

Algorithm
intervals
Results
267.0ms10644×body80valid