Details

Time bar (total: 4.8s)

sample28.0ms

Algorithm
intervals
Results
8.0ms257×body80valid
6.0ms256×body80nan

simplify32.0ms

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: 12.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log (/ x y))) z)
0.2b
(* x (log (/ x y)))
12.2b
(log (/ x y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
65×log-prod
45×times-frac
43×add-sqr-sqrt
41×add-cube-cbrt *-un-lft-identity
26×distribute-rgt-in distribute-lft-in associate--l+
add-exp-log
pow1
add-cbrt-cube div-inv add-log-exp
associate-*r*
expm1-log1p-u associate-*l* prod-diff log1p-expm1-u
rem-log-exp log-pow
sub-neg log-div flip3-- fma-neg diff-log div-exp pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 117
Calls
3 calls:
7.0ms
(- (* x (log (/ x y))) z)
7.0ms
(* x (log (/ x y)))
2.0ms
(log (/ x y))

series146.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(- (* x (log (/ x y))) z)
44.0ms
(* x (log (/ x y)))
37.0ms
(log (/ x y))

simplify47.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0413767
11429702
25001683

prune291.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(cbrt y)
0.7b
(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)

series708.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt x)
177.0ms
(cbrt x)
173.0ms
(cbrt y)
168.0ms
(cbrt y)

simplify58.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
073172
1149160
2350152
31283152
45001152

prune271.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(cbrt y)
1.5b
(log (/ x (cbrt y)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
22×log-prod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac
add-exp-log
pow1
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow1/3
rem-log-exp
log-div div-exp log-pow div-inv
Counts
4 → 74
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
6.0ms
(log (/ x (cbrt y)))

series660.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt y)
178.0ms
(cbrt y)
171.0ms
(cbrt y)
128.0ms
(log (/ x (cbrt y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0233406
1548383
21616369
35001355

prune307.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.7b
(log (/ (cbrt x) y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
22×log-prod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac
add-exp-log
pow1
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow1/3
rem-log-exp
log-div div-exp log-pow div-inv
Counts
4 → 74
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
3.0ms
(log (/ (cbrt x) y))

series683.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt x)
194.0ms
(cbrt x)
180.0ms
(cbrt x)
124.0ms
(log (/ (cbrt x) y))

simplify128.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0200398
1480377
21268365
34417355
45001355

prune302.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes197.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02214
12414
22414

end0.0ms

sample804.0ms

Algorithm
intervals
Results
269.0ms8038×body80valid
194.0ms8119×body80nan