Details

Time bar (total: 5.4s)

sample30.0ms

Algorithm
intervals
Results
8.0ms257×body80valid
5.0ms214×body80nan

simplify55.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log (/ x y))) z)
0.2b
(* x (log (/ x y)))
17.4b
(log (/ x y))

rewrite40.0ms

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:
15.0ms
(- (* x (log (/ x y))) z)
13.0ms
(* x (log (/ x y)))
3.0ms
(log (/ x y))

series167.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(- (* x (log (/ x y))) z)
47.0ms
(* x (log (/ x y)))
38.0ms
(log (/ x y))

simplify59.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0413767
11429702
25001683

prune341.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite5.0ms

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

series804.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(cbrt y)
205.0ms
(cbrt y)
201.0ms
(cbrt x)
200.0ms
(cbrt x)

simplify66.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
073172
1149160
2350152
31283152
45001152

prune290.0ms

Pruning

7 alts after pruning (5 fresh and 2 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)
4.1b
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 log-prod rem-log-exp
expm1-log1p-u div-exp prod-exp add-cbrt-cube log1p-expm1-u add-log-exp
pow1/3
log-div times-frac log-pow div-inv
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
17.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series729.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(cbrt x)
205.0ms
(cbrt x)
201.0ms
(cbrt x)
109.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify139.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
0137341
1293300
2920281
34414276
45001276

prune328.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
5.2b
(log (/ x (cbrt y)))

rewrite10.0ms

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:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
5.0ms
(log (/ x (cbrt y)))

series770.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt y)
203.0ms
(cbrt y)
213.0ms
(cbrt y)
154.0ms
(log (/ x (cbrt y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0233406
1548383
21616369
35001355

prune331.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes201.0ms

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
01512
11512

end0.0ms

sample884.0ms

Algorithm
intervals
Results
260.0ms8031×body80valid
178.0ms7880×body80nan