Details

Time bar (total: 4.6s)

sample36.0ms

Algorithm
intervals
Results
14.0ms259×body80valid
9.0ms209×body80nan

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1184
2254
3454
4764
51024
61224
71524
82464
93534
105594
115624
125634
135634

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize7.0ms

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
expm1-log1p-u rem-log-exp log-pow log1p-expm1-u add-log-exp
log-div div-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 73
Calls
2 calls:
7.0ms
(* x (log (/ x y)))
2.0ms
(log (/ x y))

series85.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* x (log (/ x y)))
39.0ms
(log (/ x y))

simplify72.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0222490
1816447
22930431
35002428

prune171.0ms

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)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
0.0ms
(cbrt x)
4.0ms
(cbrt x)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series731.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt x)
181.0ms
(cbrt x)
182.0ms
(cbrt y)
180.0ms
(cbrt y)

simplify53.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
073172
1149160
2350152
31283152
45001152

prune257.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

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 expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series727.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt x)
179.0ms
(cbrt x)
178.0ms
(cbrt y)
184.0ms
(cbrt y)

simplify53.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
073172
1149160
2350152
31283152
45001152

prune260.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
78×sqrt-prod
64×add-sqr-sqrt log-prod
56×times-frac
54×add-cube-cbrt *-un-lft-identity
32×distribute-rgt-in distribute-lft-in
14×pow1
12×associate-*r*
add-exp-log add-cbrt-cube
associate-*l* log-pow div-inv
expm1-log1p-u rem-sqrt-square sqrt-pow1 pow1/2 log1p-expm1-u add-log-exp
sqrt-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 164
Calls
4 calls:
9.0ms
(* x (log (sqrt (/ x y))))
13.0ms
(* x (log (sqrt (/ x y))))
2.0ms
(sqrt (/ x y))
3.0ms
(sqrt (/ x y))

series305.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(* x (log (sqrt (/ x y))))
104.0ms
(* x (log (sqrt (/ x y))))
51.0ms
(sqrt (/ x y))
46.0ms
(sqrt (/ x y))

simplify47.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03251336
111521242
250021202

prune450.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes130.0ms

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
439.0ms8047×body80valid
330.0ms7957×body80nan