Details

Time bar (total: 3.6s)

sample531.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 53.710938%

Guaranteed chance to sample good point: 80.524789%

Results
11.0ms256×body80valid
1.0ms34×body80nan

simplify33.0ms

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: 14.8b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log (/ x y))) z)
0.3b
(* x (log (/ x y)))
14.2b
(log (/ x y))

rewrite22.0ms

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+
8×add-exp-log
7×pow1
5×add-cbrt-cube div-inv add-log-exp
4×associate-*r*
3×associate-*l*
2×rem-log-exp log-pow
1×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)
8.0ms
(* x (log (/ x y)))
3.0ms
(log (/ x y))

series32.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(- (* x (log (/ x y))) z)
9.0ms
(* x (log (/ x y)))
7.0ms
(log (/ x y))

simplify120.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0367732
11198668
24130641
35002641

prune150.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1079116
Fresh000
Picked101
Done000
Total1089117

Merged error: 0.0b

Counts
117 → 9

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)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series88.0ms

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

simplify188.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (40.0ms)

IterNodesCost
0106204
1184188
2373148
31008144
44619128
55001128

prune91.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New56056
Fresh088
Picked011
Done000
Total56965

Merged error: 0.0b

Counts
65 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
3.3b
(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
7×add-exp-log
5×pow1
4×add-cbrt-cube add-log-exp
3×pow1/3
2×rem-log-exp
1×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)))

series89.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
24.0ms
(cbrt y)
24.0ms
(log (/ x (cbrt y)))

simplify185.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 4 (179.0ms)

IterNodesCost
0247431
1575387
21464361
34516336
45002335

prune126.0ms

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

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New77178
Fresh077
Picked011
Done011
Total771087

Merged error: 0b

Counts
87 → 10

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
68×cbrt-prod
36×times-frac
32×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×cbrt-div div-inv
Counts
4 → 84
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
4.0ms
(cbrt (/ x (cbrt y)))
3.0ms
(cbrt (/ x (cbrt y)))

series104.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
21.0ms
(cbrt y)
32.0ms
(cbrt (/ x (cbrt y)))
28.0ms
(cbrt (/ x (cbrt y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0231674
1504632
21706598
35001576

prune139.0ms

Filtered
76 candidates to 96 candidates (-26.3%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh077
Picked011
Done022
Total9610106

Merged error: 0b

Counts
106 → 10

regimes361.0ms

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

sample1.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 53.710938%

Guaranteed chance to sample good point: 80.524789%

Results
348.0ms8000×body80valid
30.0ms896×body80nan
2.0ms38×body80invalid

Profiling

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