Details

Time bar (total: 2.5s)

analyze471.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 12.518409%

Guaranteed chance to sample good point: 86.38707%

sample16.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
0.0ms9×body80invalid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
082
1122
2152
3162
4162

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

5.9b
(/ (* x y) z)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
4.0ms
(/ (* x y) z)

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(/ (* x y) z)

simplify56.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
011185
151470
2247170
3500170

prune45.0ms

Filtered
16 candidates to 24 candidates (-50.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New17724
Fresh000
Picked101
Done000
Total18725

Merged error: 0.0b

Counts
25 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.9b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
14.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series78.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt z)
24.0ms
(cbrt z)
22.0ms
(cbrt z)
11.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0440756
12120661
25002598

prune104.0ms

Filtered
78 candidates to 104 candidates (-33.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1022104
Fresh156
Picked011
Done000
Total1038111

Merged error: 0.0b

Counts
111 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

6.0b
(* (* x y) (/ 1 z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
13×associate-*r* add-cbrt-cube
12×prod-exp
9×times-frac
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-unprod
4×div-exp
3×pow-prod-down
2×cbrt-undiv rec-exp 1-exp
1×associate-*r/ associate-*l* un-div-inv *-commutative div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
7.0ms
(* (* x y) (/ 1 z))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* (* x y) (/ 1 z))

simplify34.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0244183
11259141
25001127

prune44.0ms

Filtered
20 candidates to 41 candidates (-105.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New41041
Fresh066
Picked011
Done011
Total41849

Merged error: 0.0b

Counts
49 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z)))
7.1b
(cbrt (/ x (* (cbrt z) (cbrt z))))
7.1b
(cbrt (/ x (* (cbrt z) (cbrt z))))
7.1b
(cbrt (/ x (* (cbrt z) (cbrt z))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
46×cbrt-prod
39×times-frac
26×add-cube-cbrt *-un-lft-identity
22×associate-*r*
10×associate-*l*
9×add-exp-log unswap-sqr
6×pow1 add-cbrt-cube
5×cbrt-div div-inv
4×add-log-exp
3×pow1/3
2×prod-exp cbrt-unprod
1×cbrt-undiv frac-times associate-*r/ div-exp pow-prod-down associate-*l/ *-commutative
Counts
4 → 105
Calls
4 calls:
12.0ms
(* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z)))
5.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
5.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
5.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))

series157.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z)))
28.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
28.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
31.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))

simplify48.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04451184
114441118
250021054

prune117.0ms

Filtered
103 candidates to 117 candidates (-13.6%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1161117
Fresh055
Picked011
Done022
Total1169125

Merged error: 0.0b

Counts
125 → 9

regimes359.0ms

Accuracy

33.2% (3.6b remaining)

Error of 3.7b against oracle of 0.0b and baseline of 5.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0227
1227

end0.0ms

analyze451.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 12.518409%

Guaranteed chance to sample good point: 86.38707%

sample353.0ms

Algorithm
intervals
Results
175.0ms8000×body80valid
8.0ms410×body80invalid

Profiling

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