Details

Time bar (total: 4.5s)

sample26.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
5.0ms232×body80nan

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1294
2514
3654
4974
51204
61594
72574
83224
93224

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x (log y)) z)
0.2b
(* x (log y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×log-prod
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
6×distribute-rgt-in distribute-lft-in associate--l+
5×pow1
4×add-exp-log associate-*r* add-cbrt-cube add-log-exp
3×associate-*l* prod-diff
2×expm1-log1p-u log1p-expm1-u
1×sub-neg flip3-- fma-neg diff-log pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod unswap-sqr
Counts
2 → 51
Calls
2 calls:
5.0ms
(- (* x (log y)) z)
7.0ms
(* x (log y))

series108.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(- (* x (log y)) z)
53.0ms
(* x (log y))

simplify77.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
0221261
1761224
22785207
35001203

prune118.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative fma-def flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 111
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
11.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series536.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(* x (log (cbrt y)))
99.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
175.0ms
(cbrt y)
174.0ms
(cbrt y)

simplify56.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0384753
11636640
25001570

prune402.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series692.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt y)
172.0ms
(cbrt y)
174.0ms
(cbrt y)
172.0ms
(cbrt y)

simplify130.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
042172
183160
2195152
3699152
44132152
55001152

prune300.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (* 1 (pow y 1/3))))) (* x (log (cbrt y))))
0.6b
(cbrt y)
5.0b
(pow y 1/3)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
28×log-prod
19×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
16×distribute-rgt-in distribute-lft-in
15×cbrt-prod
12×associate-+r+
8×pow1
7×add-exp-log
6×add-cbrt-cube add-log-exp
5×associate-*r*
4×expm1-log1p-u associate-+l+ log1p-expm1-u
3×unpow-prod-down pow-unpow associate-*l*
2×pow1/3 log-pow
1×+-commutative pow-to-exp pow-pow fma-def flip3-+ unpow1/3 pow-prod-down pow-exp prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr sqr-pow
Counts
4 → 98
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
10.0ms
(+ (* x (* 2 (log (* 1 (pow y 1/3))))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series585.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* x (log (cbrt y)))
132.0ms
(+ (* x (* 2 (log (* 1 (pow y 1/3))))) (* x (log (cbrt y))))
186.0ms
(cbrt y)
173.0ms
(pow y 1/3)

simplify63.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0392652
11817532
25002496

prune358.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes114.0ms

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
084
184

end0.0ms

sample758.0ms

Algorithm
intervals
Results
244.0ms8032×body80valid
184.0ms8000×body80nan
0.0ms1×body640valid