Details

Time bar (total: 3.1s)

analyze448.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 46.952782%

Guaranteed chance to sample good point: 83.128447%

sample22.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
0.0ms13×body80nan

simplify24.0ms

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

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.3b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log (/ x y))) z)
0.2b
(* x (log (/ x y)))
14.9b
(log (/ x y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
65×log-prod
45×times-frac
42×add-sqr-sqrt
40×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*
associate-*l*
rem-log-exp log-pow
sub-neg log-div flip3-- diff-log div-exp pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 107
Calls
3 calls:
7.0ms
(- (* x (log (/ x y))) z)
6.0ms
(* x (log (/ x y)))
3.0ms
(log (/ x y))

series29.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(- (* x (log (/ x y))) z)
9.0ms
(* x (log (/ x y)))
7.0ms
(log (/ x y))

simplify94.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0367732
11198668
24130641
35002641

prune133.0ms

Filtered
81 candidates to 116 candidates (-43.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1088116
Fresh000
Picked101
Done000
Total1098117

Merged error: 0b

Counts
117 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

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

series88.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
22.0ms
(cbrt x)
23.0ms
(cbrt x)

simplify169.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (33.0ms)

IterNodesCost
0106204
1184188
2373148
31008144
44619128
55001128

prune89.0ms

Filtered
44 candidates to 56 candidates (-27.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New56056
Fresh077
Picked011
Done000
Total56864

Merged error: 0b

Counts
64 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
4.4b
(log (/ (cbrt x) 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
add-cbrt-cube add-log-exp
pow1/3
rem-log-exp
log-div div-exp log-pow div-inv
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(log (/ (cbrt x) y))

series95.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
22.0ms
(cbrt x)
24.0ms
(cbrt x)
26.0ms
(log (/ (cbrt x) y))

simplify144.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
0221428
1512384
21222358
33826344
45002344

prune114.0ms

Filtered
60 candidates to 78 candidates (-30.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh066
Picked011
Done011
Total78886

Merged error: 0b

Counts
86 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
5.3b
(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
add-cbrt-cube add-log-exp
pow1/3
rem-log-exp
log-div div-exp log-pow div-inv
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
4.0ms
(log (/ x (cbrt y)))

series91.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt y)
21.0ms
(cbrt y)
21.0ms
(cbrt y)
25.0ms
(log (/ x (cbrt y)))

simplify157.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 4 (151.0ms)

IterNodesCost
0247431
1575387
21464361
34516336
45002335

prune92.0ms

Filtered
60 candidates to 78 candidates (-30.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh055
Picked011
Done022
Total78886

Merged error: 0b

Counts
86 → 8

regimes258.0ms

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
01713
11713

end0.0ms

analyze442.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 46.952782%

Guaranteed chance to sample good point: 83.128447%

sample539.0ms

Algorithm
intervals
Results
327.0ms8000×body80valid
16.0ms516×body80nan
1.0ms26×body80invalid

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