Details

Time bar (total: 2.3s)

sample21.0ms

Algorithm
intervals
Results
8.0ms393×body80valid

simplify281.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (6.0ms)

IterNodesCost
0166
1334
2564
3763
4883
51313
62363
73283
83433
94433
107973
1134993
1250013

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma 3 (* z z) (* x y))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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 3 (* z z) (* x y))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(fma 3 (* z z) (* x y))

simplify51.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03359
17952
225652
3102552
4500152

prune35.0ms

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

rewrite34.0ms

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
expm1-log1p-u log1p-expm1-u
+-commutative fma-def flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 35
Calls
2 calls:
17.0ms
(+ (* 3 (* z z)) (* x y))
16.0ms
(* 3 (* z z))

series57.0ms

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

simplify85.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0176174
1664155
22741148
35002148

prune78.0ms

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
(+ (* (* 3 z) z) (* x y))
0.1b
(* (* 3 z) z)

rewrite35.0ms

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
expm1-log1p-u log1p-expm1-u
+-commutative fma-def flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 34
Calls
2 calls:
17.0ms
(+ (* (* 3 z) z) (* x y))
17.0ms
(* (* 3 z) z)

series58.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* (* 3 z) z) (* x y))
26.0ms
(* (* 3 z) z)

simplify134.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
0185172
1865153
24444147
35001145

prune79.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

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))

rewrite145.0ms

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
expm1-log1p-u log1p-expm1-u
associate-*r* *-commutative unswap-sqr
+-commutative fma-def flip3-+ sum-log flip-+
Counts
3 → 69
Calls
3 calls:
59.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
64.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
19.0ms
(* (cbrt 3) (* z z))

series206.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
85.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
46.0ms
(* (cbrt 3) (* z z))

simplify51.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0277592
11087464
25001391

prune136.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes110.0ms

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

sample587.0ms

Algorithm
intervals
Results
275.0ms12148×body80valid