Details

Time bar (total: 2.9s)

sample529.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 6.195068%

Guaranteed chance to sample good point: 88.951786%

Results
6.0ms256×body80valid
1.0ms24×body80invalid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 6.9b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

6.6b
(/ (* 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)

simplify64.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
011185
151470
2247170
3500170

prune42.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New20424
Fresh000
Picked011
Done000
Total20525

Merged error: 0.0b

Counts
25 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
5.5b
(* (/ 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:
21.0ms
(cbrt z)
22.0ms
(cbrt z)
24.0ms
(cbrt z)
10.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0440756
12120661
25002598

prune101.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1031104
Fresh033
Picked011
Done011
Total1036109

Merged error: 0.0b

Counts
109 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

6.7b
(* (* 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:
8.0ms
(* (* x y) (/ 1 z))

series5.0ms

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

simplify40.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0244183
11259141
25001127

prune41.0ms

Filtered
19 candidates to 41 candidates (-115.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New41041
Fresh033
Picked011
Done022
Total41647

Merged error: 0.0b

Counts
47 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.6b
(cbrt (* (cbrt z) (cbrt z)))
0.6b
(cbrt (cbrt z))
6.0b
(* (/ (/ x (* (cbrt z) (cbrt z))) (cbrt (* (cbrt z) (cbrt z)))) (/ y (cbrt (cbrt z))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
106×times-frac
105×add-sqr-sqrt
70×cbrt-prod
42×add-cube-cbrt *-un-lft-identity
36×add-exp-log
32×associate-*l*
31×associate-*r*
22×add-cbrt-cube
20×unswap-sqr
14×cbrt-undiv div-exp
10×prod-exp cbrt-unprod
6×pow1 div-inv
4×add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 145
Calls
4 calls:
1.0ms
(cbrt z)
4.0ms
(cbrt (* (cbrt z) (cbrt z)))
2.0ms
(cbrt (cbrt z))
31.0ms
(* (/ (/ x (* (cbrt z) (cbrt z))) (cbrt (* (cbrt z) (cbrt z)))) (/ y (cbrt (cbrt z))))

series101.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt z)
35.0ms
(cbrt (* (cbrt z) (cbrt z)))
30.0ms
(cbrt (cbrt z))
11.0ms
(* (/ (/ x (* (cbrt z) (cbrt z))) (cbrt (* (cbrt z) (cbrt z)))) (/ y (cbrt (cbrt z))))

simplify99.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
08972181
136992021
250011981

prune167.0ms

Filtered
128 candidates to 157 candidates (-22.7%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1570157
Fresh022
Picked011
Done033
Total1576163

Merged error: 0.0b

Counts
163 → 6

regimes419.0ms

Accuracy

79.3% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 5.7b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
02314
12614
2328
3358
4418
5528
6598
7608
8608

end0.0ms

sample1.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 6.195068%

Guaranteed chance to sample good point: 88.951786%

Results
196.0ms8000×body80valid
22.0ms963×body80invalid

Profiling

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