Details

Time bar (total: 6.6s)

sample2.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 3.018188%

Guaranteed chance to sample good point: 55.889109%

Results
9.0ms256×body80valid
1.0ms38×body80invalid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (3.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550022

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.9b

Counts
2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

4.7b
(* x (/ y z))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
11.0ms
(* x (/ y z))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(* x (/ y z))

simplify91.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0166133
1744118
23139118
35001118

prune72.0ms

Filtered
24 candidates to 35 candidates (-45.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New27835
Fresh101
Picked011
Done000
Total28937

Merged error: 0.0b

Counts
37 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.5b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite22.0ms

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)
16.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series77.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt z)
21.0ms
(cbrt z)
22.0ms
(cbrt z)
10.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0440756
12120661
25002598

prune131.0ms

Filtered
77 candidates to 104 candidates (-35.1%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1013104
Fresh167
Picked011
Done011
Total10211113

Merged error: 0.0b

Counts
113 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

1.4b
(* (/ x (* (cbrt z) (cbrt z))) (* (cbrt (/ y (cbrt z))) (cbrt (/ y (cbrt z)))))
3.6b
(cbrt (/ y (cbrt z)))
3.6b
(cbrt (/ y (cbrt z)))
3.6b
(cbrt (/ y (cbrt z)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
93×cbrt-prod
58×times-frac
47×add-sqr-sqrt
45×add-cube-cbrt *-un-lft-identity
25×add-exp-log
15×add-cbrt-cube
11×cbrt-div prod-exp cbrt-unprod
9×pow1
7×associate-*l*
5×frac-times associate-*r/
4×cbrt-undiv div-exp div-inv add-log-exp
3×pow1/3 pow-prod-down associate-*l/
2×unswap-sqr
1×associate-*r* *-commutative
Counts
4 → 132
Calls
4 calls:
17.0ms
(* (/ x (* (cbrt z) (cbrt z))) (* (cbrt (/ y (cbrt z))) (cbrt (/ y (cbrt z)))))
3.0ms
(cbrt (/ y (cbrt z)))
3.0ms
(cbrt (/ y (cbrt z)))
3.0ms
(cbrt (/ y (cbrt z)))

series137.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (/ x (* (cbrt z) (cbrt z))) (* (cbrt (/ y (cbrt z))) (cbrt (/ y (cbrt z)))))
28.0ms
(cbrt (/ y (cbrt z)))
27.0ms
(cbrt (/ y (cbrt z)))
31.0ms
(cbrt (/ y (cbrt z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
05251474
116601319
250021245

prune173.0ms

Filtered
117 candidates to 144 candidates (-23.1%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1440144
Fresh088
Picked011
Done022
Total14411155

Merged error: 0.0b

Counts
155 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (* (cbrt (/ x (* (cbrt z) (cbrt z)))) (cbrt (/ x (* (cbrt z) (cbrt z))))) (* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z))))
6.3b
(cbrt (/ x (* (cbrt z) (cbrt z))))
6.3b
(cbrt (/ x (* (cbrt z) (cbrt z))))
6.3b
(cbrt (/ x (* (cbrt z) (cbrt z))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-div
25×add-exp-log
21×cbrt-prod
17×frac-times
16×pow1
13×prod-exp add-cbrt-cube cbrt-unprod
11×associate-*r/ associate-*l/
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
8×pow-prod-down
4×add-log-exp
3×pow1/3 div-inv
2×cbrt-undiv div-exp
1×associate-*r* associate-*l* *-commutative
Counts
4 → 89
Calls
4 calls:
16.0ms
(* (* (cbrt (/ x (* (cbrt z) (cbrt z)))) (cbrt (/ x (* (cbrt z) (cbrt z))))) (* (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))))

series104.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (* (cbrt (/ x (* (cbrt z) (cbrt z)))) (cbrt (/ x (* (cbrt z) (cbrt z))))) (* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z))))
36.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
27.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
29.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))

simplify61.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
03921445
112371123
25002976

prune87.0ms

Filtered
69 candidates to 101 candidates (-46.4%)
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New992101
Fresh167
Picked011
Done033
Total10012112

Merged error: 0b

Counts
112 → 12

regimes569.0ms

Accuracy

68.4% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 5.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02715
12715

end0.0ms

sample2.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 3.018188%

Guaranteed chance to sample good point: 55.889109%

Results
304.0ms8000×body80valid
59.0ms1555×body80invalid

Profiling

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