Details

Time bar (total: 3.2s)

sample470.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 46.875%

Guaranteed chance to sample good point: 83.128447%

Results
10.0ms256×body80valid
1.0ms28×body80nan
0.0ms1×body80invalid

simplify25.0ms

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: 14.9b

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)))
14.5b
(log (/ x y))

rewrite23.0ms

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)
6.0ms
(* x (log (/ x y)))
3.0ms
(log (/ x y))

series30.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(- (* x (log (/ x y))) z)
9.0ms
(* x (log (/ x y)))
7.0ms
(log (/ x y))

simplify97.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0367732
11198668
24130641
35002641

prune128.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1115116
Fresh000
Picked011
Done000
Total1116117

Merged error: 0.0b

Counts
117 → 6

localize16.0ms

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)
2.0ms
(cbrt y)

series88.0ms

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

simplify167.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (33.0ms)

IterNodesCost
0106204
1184188
2373148
31008144
44619128
55001128

prune77.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh044
Picked011
Done011
Total56662

Merged error: 0.0b

Counts
62 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
4.0b
(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)))

series91.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
22.0ms
(cbrt y)
21.0ms
(cbrt y)
27.0ms
(log (/ x (cbrt y)))

simplify160.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 4 (152.0ms)

IterNodesCost
0247431
1575387
21464361
34516336
45002335

prune103.0ms

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

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh033
Picked011
Done022
Total78684

Merged error: 0.0b

Counts
84 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series91.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (cbrt x) (cbrt x))
22.0ms
(cbrt x)
21.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify72.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune80.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done033
Total85691

Merged error: 0.0b

Counts
91 → 6

regimes297.0ms

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

sample1.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 46.875%

Guaranteed chance to sample good point: 83.128447%

Results
341.0ms8000×body80valid
17.0ms509×body80nan
1.0ms34×body80invalid

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