Details

Time bar (total: 1.6s)

sample16.0ms

Algorithm
intervals
Results
7.0ms338×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0113
1152
2162
3162

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

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-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×fma-def associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 36
Calls
2 calls:
2.0ms
(+ x (* (* y z) z))
8.0ms
(* (* y z) z)

series88.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ x (* (* y z) z))
38.0ms
(* (* y z) z)

simplify105.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0167152
1756130
23750130
35002129

prune86.0ms

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×associate-*r*
7×add-exp-log
6×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
3×fma-def associate-*l* prod-exp
2×pow1 expm1-log1p-u log1p-expm1-u unpow2 sqr-pow
1×+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 45
Calls
2 calls:
2.0ms
(+ x (* y (pow z 2)))
6.0ms
(* y (pow z 2))

series78.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ x (* y (pow z 2)))
29.0ms
(* y (pow z 2))

simplify123.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0179182
1656160
23344159
35001159

prune104.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

7.0b
(fma (pow z 2) y x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (pow z 2) y x)

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(fma (pow z 2) y x)

simplify40.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02442
16837
222437
389837
4500237

prune33.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
12×associate-*r*
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-prod
5×add-log-exp
3×expm1-log1p-u fma-def log1p-expm1-u
2×associate-*l* *-commutative
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 65
Calls
3 calls:
2.0ms
(+ x (* (* (* y z) (sqrt z)) (sqrt z)))
25.0ms
(* (* (* y z) (sqrt z)) (sqrt z))
8.0ms
(* (* y z) (sqrt z))

series131.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(+ x (* (* (* y z) (sqrt z)) (sqrt z)))
33.0ms
(* (* (* y z) (sqrt z)) (sqrt z))
54.0ms
(* (* y z) (sqrt z))

simplify49.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0343437
11663349
25002333

prune126.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes87.0ms

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
062
162

end0.0ms

sample431.0ms

Algorithm
intervals
Results
219.0ms10644×body80valid