Details

Time bar (total: 2.7s)

sample20.0ms

Algorithm
intervals
Results
9.0ms393×body80valid

simplify271.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0157
1256
2374
3474
4564
5894
61584
72084
82214
93164
106464
1131994
1250034

prune6.0ms

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
6.0ms
(+ (* 3 (* z z)) (* x y))
6.0ms
(* 3 (* z z))

series58.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (* 3 (* z z)) (* x y))
25.0ms
(* 3 (* z z))

simplify82.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0166163
1617147
22424143
35003143

prune66.0ms

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

series60.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* (* 3 z) z) (* x y))
24.0ms
(* (* 3 z) z)

simplify133.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
0175161
1815145
24087142
35001141

prune56.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
7×add-sqr-sqrt associate-*l*
5×add-cube-cbrt *-un-lft-identity add-log-exp
4×cbrt-prod
2×associate-*r* *-commutative unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 62
Calls
3 calls:
26.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
30.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
8.0ms
(* (cbrt 3) (* z z))

series213.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
83.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
46.0ms
(* (cbrt 3) (* z z))

simplify41.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0265553
11032424
25002369

prune115.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1 add-exp-log
42×add-cbrt-cube
33×pow-prod-down prod-exp cbrt-unprod
19×associate-*l*
14×sqrt-prod
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-log-exp
3×associate-*r* *-commutative unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 99
Calls
4 calls:
79.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* z z)))) (* x y))
11.0ms
(* (sqrt (cbrt 3)) (* z z))
80.0ms
(* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* z z))))
29.0ms
(* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* z z)))

series301.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* z z)))) (* x y))
76.0ms
(* (sqrt (cbrt 3)) (* z z))
90.0ms
(* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* z z))))
51.0ms
(* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* z z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
03661052
11522778
25001661

prune202.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes91.0ms

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

sample570.0ms

Algorithm
intervals
Results
314.0ms12203×body80valid