Details

Time bar (total: 4.7s)

sample35.0ms

Algorithm
intervals
Results
14.0ms259×body80valid
8.0ms209×body80nan

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 13.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(* x (log (/ x y)))
13.0b
(log (/ x y))

rewrite12.0ms

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))

series84.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* x (log (/ x y)))
39.0ms
(log (/ x y))

simplify68.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
0218476
1812433
22867417
35002414

prune158.0ms

Pruning

7 alts after pruning (7 fresh and 0 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)

series730.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt x)
182.0ms
(cbrt x)
182.0ms
(cbrt y)
176.0ms
(cbrt y)

simplify59.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
069156
1145144
2346136
31277136
45001136

prune230.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

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)
1.0ms
(cbrt x)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series736.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt x)
188.0ms
(cbrt x)
183.0ms
(cbrt y)
180.0ms
(cbrt y)

simplify59.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
069156
1145144
2346136
31277136
45001136

prune230.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (sqrt (/ x y)))
0.3b
(* x (+ (log (sqrt (/ x y))) (log (sqrt (/ x y)))))
12.8b
(sqrt (/ x y))
12.8b
(sqrt (/ x y))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
39×sqrt-prod
38×*-un-lft-identity
32×add-cube-cbrt
29×times-frac
26×pow1 associate-*r*
25×log-pow
16×log-prod
10×distribute-rgt-out
sqrt-pow1 pow1/2
distribute-lft-out
add-exp-log
add-cbrt-cube
rem-sqrt-square add-log-exp
sqrt-div associate-*l* div-inv
distribute-lft1-in associate-*r/ distribute-rgt1-in
distribute-rgt-in log-div distribute-lft-in flip3-+ count-2 rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 123
Calls
4 calls:
3.0ms
(log (sqrt (/ x y)))
33.0ms
(* x (+ (log (sqrt (/ x y))) (log (sqrt (/ x y)))))
2.0ms
(sqrt (/ x y))
3.0ms
(sqrt (/ x y))

series318.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(log (sqrt (/ x y)))
121.0ms
(* x (+ (log (sqrt (/ x y))) (log (sqrt (/ x y)))))
52.0ms
(sqrt (/ x y))
46.0ms
(sqrt (/ x y))

simplify51.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0400834
11508744
25001708

prune607.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes87.0ms

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

sample1.1s

Algorithm
intervals
Results
451.0ms8047×body80valid
334.0ms7957×body80nan