Details

Time bar (total: 3.1s)

sample448.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 46.952782%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
10.0ms256×body80valid
0.0ms12×body80nan
0.0ms1×body80invalid

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: 17.7b

Counts
2 → 1

localize9.0ms

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))

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+
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:
14.0ms
(- (* x (log (/ x y))) z)
9.0ms
(* x (log (/ x y)))
7.0ms
(log (/ x y))

simplify93.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0367732
11198668
24130641
35002641

prune139.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1088116
Fresh000
Picked011
Done000
Total1089117

Merged error: 0.0b

Counts
117 → 9

localize13.0ms

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

series87.0ms

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

simplify165.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (32.0ms)

IterNodesCost
0106204
1184188
2373148
31008144
44619128
55001128

prune90.0ms

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

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.4b
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 log-prod rem-log-exp
4×div-exp prod-exp add-cbrt-cube add-log-exp
3×pow1/3
1×log-div times-frac log-pow div-inv
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
8.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series88.0ms

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

simplify88.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 4 (83.0ms)

IterNodesCost
0147356
1299313
2776263
32970254
45001248

prune103.0ms

Filtered
52 candidates to 64 candidates (-23.1%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New63164
Fresh066
Picked011
Done022
Total631073

Merged error: 0.0b

Counts
73 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.6b
(* (cbrt y) (cbrt y))
4.6b
(log (/ x (cbrt y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
31×cbrt-prod
27×add-cube-cbrt *-un-lft-identity
22×log-prod
18×times-frac
12×pow1
9×add-exp-log
8×pow1/3
6×swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×rem-log-exp pow-prod-down pow-sqr pow-prod-up
1×pow2 log-div pow-plus div-exp prod-exp log-pow *-commutative cbrt-unprod div-inv
Counts
4 → 95
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
6.0ms
(* (cbrt y) (cbrt y))
4.0ms
(log (/ x (cbrt y)))

series98.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
22.0ms
(cbrt y)
28.0ms
(* (cbrt y) (cbrt y))
26.0ms
(log (/ x (cbrt y)))

simplify123.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (116.0ms)

IterNodesCost
0336576
11023525
24671459
35001457

prune121.0ms

Filtered
73 candidates to 107 candidates (-46.6%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1052107
Fresh156
Picked101
Done033
Total10710117

Merged error: 0.0b

Counts
117 → 10

regimes388.0ms

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
01512
11512

end0.0ms

sample938.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 46.952782%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
322.0ms8000×body80valid
16.0ms523×body80nan
2.0ms39×body80invalid

Profiling

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