Details

Time bar (total: 3.8s)

sample764.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 45.410156%

Guaranteed chance to sample good point: 77.593918%

Results
11.0ms256×body80valid
1.0ms32×body80nan
0.0ms3×body80invalid

simplify27.0ms

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

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(* x (log (/ x y)))
14.3b
(log (/ x y))

rewrite11.0ms

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
7×add-exp-log
6×pow1
4×associate-*r* add-cbrt-cube
3×associate-*l* div-inv
2×rem-log-exp log-pow add-log-exp
1×log-div div-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 69
Calls
2 calls:
6.0ms
(* x (log (/ x y)))
3.0ms
(log (/ x y))

series19.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(* x (log (/ x y)))
11.0ms
(log (/ x y))

simplify66.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0230488
1850435
22880417
35001413

prune105.0ms

Filtered
45 candidates to 75 candidates (-66.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New66975
Fresh000
Picked101
Done000
Total67976

Merged error: 0.0b

Counts
76 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(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)

series85.0ms

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

simplify169.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (33.0ms)

IterNodesCost
0106204
1184188
2373148
31008144
44619128
55001128

prune92.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

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)

series85.0ms

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

simplify197.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (32.0ms)

IterNodesCost
0106204
1184188
2373148
31008144
44619128
55001128

prune87.0ms

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

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh077
Picked011
Done011
Total56965

Merged error: 0.0b

Counts
65 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* 2 (log (cbrt (/ x y)))))
0.3b
(* x (log (cbrt (/ x y))))
14.6b
(cbrt (/ x y))
14.6b
(cbrt (/ x y))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
104×cbrt-prod
96×log-prod
80×distribute-rgt-in distribute-lft-in
72×times-frac
71×add-sqr-sqrt
69×add-cube-cbrt *-un-lft-identity
12×pow1
11×add-exp-log add-cbrt-cube
8×div-inv
6×associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×cbrt-div log-pow *-commutative
1×unswap-sqr
Counts
4 → 178
Calls
4 calls:
9.0ms
(* x (* 2 (log (cbrt (/ x y)))))
6.0ms
(* x (log (cbrt (/ x y))))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series61.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* x (* 2 (log (cbrt (/ x y)))))
16.0ms
(* x (log (cbrt (/ x y))))
12.0ms
(cbrt (/ x y))
12.0ms
(cbrt (/ x y))

simplify63.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
06291769
121061666
250011630

prune141.0ms

Filtered
105 candidates to 190 candidates (-81.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1882190
Fresh156
Picked101
Done022
Total1909199

Merged error: 0.0b

Counts
199 → 9

regimes285.0ms

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

sample1.4s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 45.410156%

Guaranteed chance to sample good point: 77.593918%

Results
356.0ms8000×body80valid
25.0ms704×body80nan
2.0ms46×body80invalid

Profiling

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