Details

Time bar (total: 4.3s)

sample30.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
6.0ms268×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))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×log-prod
11×add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
distribute-rgt-in distribute-lft-in associate--l+
pow1
add-exp-log associate-*r* add-cbrt-cube add-log-exp
associate-*l* prod-diff
expm1-log1p-u log1p-expm1-u
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:
4.0ms
(- (* x (log y)) z)
4.0ms
(* x (log y))

series90.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(- (* x (log y)) z)
36.0ms
(* x (log y))

simplify74.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0221261
1761224
22785207
35001203

prune122.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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+
pow1
add-exp-log add-cbrt-cube add-log-exp
associate-*r*
expm1-log1p-u log1p-expm1-u
pow1/3 associate-*l*
log-pow
+-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)))
13.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series534.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* x (log (cbrt y)))
98.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
177.0ms
(cbrt y)
172.0ms
(cbrt y)

simplify54.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0384753
11636640
25001570

prune407.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
0.3b
(* x (log (cbrt y)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×cbrt-prod add-cube-cbrt log-prod *-un-lft-identity
pow1
add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
associate-*r*
expm1-log1p-u log1p-expm1-u add-log-exp
pow1/3 associate-*l*
log-pow
pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 70
Calls
4 calls:
0.0ms
(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
5.0ms
(* x (log (cbrt y)))
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series596.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
90.0ms
(* x (log (cbrt y)))
172.0ms
(cbrt y)
169.0ms
(cbrt y)

simplify83.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
0168411
1610367
22425343
35002333

prune253.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
5.1b
(pow y 1/3)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
unpow-prod-down pow-unpow pow1/3
pow-to-exp pow-pow unpow1/3 pow-exp sqr-pow
Counts
4 → 59
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(pow y 1/3)

series703.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt y)
178.0ms
(cbrt y)
177.0ms
(cbrt y)
174.0ms
(pow y 1/3)

simplify43.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
0101174
1292150
21057142
35001137

prune330.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes98.0ms

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
0139
1139

end0.0ms

sample766.0ms

Algorithm
intervals
Results
247.0ms8026×body80valid
183.0ms8078×body80nan
0.0msbody640valid
0.0msbody160valid