Details

Time bar (total: 3.8s)

sample27.0ms

Algorithm
intervals
Results
8.0ms257×body80valid
6.0ms245×body80nan

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1164
2234
3414
4644
5744
6864
71124
81904
92534
103584
113604
123614
133614

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(* x (log (/ x y)))
14.7b
(log (/ x y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
39×log-prod
27×add-sqr-sqrt times-frac
25×add-cube-cbrt *-un-lft-identity
13×distribute-rgt-in distribute-lft-in
add-exp-log
pow1
associate-*r* add-cbrt-cube
associate-*l* div-inv
rem-log-exp log-pow add-log-exp
log-div div-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 69
Calls
2 calls:
7.0ms
(* x (log (/ x y)))
2.0ms
(log (/ x y))

series83.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* x (log (/ x y)))
33.0ms
(log (/ x y))

simplify65.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0218476
1812433
22867417
35002414

prune153.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series706.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
177.0ms
(cbrt x)
182.0ms
(cbrt y)
172.0ms
(cbrt y)

simplify57.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
069156
1145144
2346136
31277136
45001136

prune218.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series714.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
183.0ms
(cbrt x)
174.0ms
(cbrt y)
182.0ms
(cbrt y)

simplify55.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
069156
1145144
2346136
31277136
45001136

prune224.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (cbrt (pow (log (/ x y)) 3)))
0.5b
(cbrt (pow (log (/ x y)) 3))
0.7b
(pow (log (/ x y)) 3)
14.7b
(log (/ x y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
31×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
17×associate-*r*
14×pow1
13×unpow-prod-down log-prod cube-prod
10×add-exp-log
times-frac
log-pow
add-cbrt-cube
unswap-sqr
add-log-exp sqr-pow
cube-mult pow-unpow unpow3 associate-*l*
rem-log-exp
pow-to-exp log-div pow-pow pow1/3 div-exp pow-prod-down pow-exp prod-exp *-commutative rem-cbrt-cube cbrt-unprod div-inv rem-cube-cbrt
Counts
4 → 108
Calls
4 calls:
11.0ms
(* x (cbrt (pow (log (/ x y)) 3)))
2.0ms
(cbrt (pow (log (/ x y)) 3))
2.0ms
(pow (log (/ x y)) 3)
2.0ms
(log (/ x y))

series194.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* x (cbrt (pow (log (/ x y)) 3)))
39.0ms
(cbrt (pow (log (/ x y)) 3))
58.0ms
(pow (log (/ x y)) 3)
50.0ms
(log (/ x y))

simplify43.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0292585
11180540
25001524

prune229.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes120.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01512
11512

end0.0ms

sample761.0ms

Algorithm
intervals
Results
251.0ms8035×body80valid
190.0ms8079×body80nan