Details

Time bar (total: 2.4s)

sample28.0ms

Algorithm
intervals
Results
17.0ms386×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

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(fma 3 (* z z) (* x y))

simplify50.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
03359
17952
225652
3102552
4500152

prune37.0ms

Pruning

5 alts after pruning (4 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-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:
6.0ms
(+ (* 3 (* z z)) (* x y))
6.0ms
(* 3 (* z z))

series59.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (* 3 (* z z)) (* x y))
23.0ms
(* 3 (* z z))

simplify80.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0176174
1664155
22741148
35002148

prune72.0ms

Pruning

6 alts after pruning (4 fresh and 2 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
expm1-log1p-u log1p-expm1-u
+-commutative fma-def flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 34
Calls
2 calls:
6.0ms
(+ (* (* 3 z) z) (* x y))
6.0ms
(* (* 3 z) z)

series60.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (* (* 3 z) z) (* x y))
26.0ms
(* (* 3 z) z)

simplify127.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (124.0ms)

IterNodesCost
0185172
1865153
24444147
35001145

prune73.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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)))

rewrite59.0ms

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*
expm1-log1p-u swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
*-commutative unswap-sqr
pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 117
Calls
4 calls:
9.0ms
(* 3 (* z z))
36.0ms
(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
5.0ms
(sqrt (* 3 (* z z)))
5.0ms
(sqrt (* 3 (* z z)))

series160.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 3 (* z z))
64.0ms
(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
36.0ms
(sqrt (* 3 (* z z)))
34.0ms
(sqrt (* 3 (* z z)))

simplify35.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0175372
1793313
25001297

prune222.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes111.0ms

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
083
183

end0.0ms

sample829.0ms

Algorithm
intervals
Results
576.0ms12325×body80valid