Details

Time bar (total: 2.1s)

sample20.0ms

Algorithm
intervals
Results
9.0ms396×body80valid

simplify278.0ms

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

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
fma-def
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
associate-+l+
Counts
3 → 51
Calls
3 calls:
6.0ms
(+ (+ (* x y) (* z z)) (* z z))
3.0ms
(+ (* x y) (* z z))
8.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series127.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ (+ (* x y) (* z z)) (* z z))
37.0ms
(+ (* x y) (* z z))
45.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify131.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
0235373
11084317
24667293
35001292

prune146.0ms

Filtered
60 candidates to 47 candidates (78.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

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:
1.0ms
(fma 3 (* z z) (* x y))

series37.0ms

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

simplify47.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03359
17952
225652
3102552
4500152

prune45.0ms

Filtered
13 candidates to 11 candidates (84.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:
5.0ms
(+ (* 3 (* z z)) (* x y))
5.0ms
(* 3 (* z z))

series55.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* 3 (* z z)) (* x y))
23.0ms
(* 3 (* z z))

simplify80.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0176174
1664155
22741148
35002148

prune93.0ms

Filtered
41 candidates to 27 candidates (65.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:
5.0ms
(+ (* (* 3 z) z) (* x y))
6.0ms
(* (* 3 z) z)

series59.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (* (* 3 z) z) (* x y))
26.0ms
(* (* 3 z) z)

simplify160.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (156.0ms)

IterNodesCost
0185172
1865153
24444147
35001145

prune75.0ms

Filtered
40 candidates to 27 candidates (67.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes121.0ms

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

sample524.0ms

Algorithm
intervals
Results
288.0ms12243×body80valid