Details

Time bar (total: 2.1s)

sample26.0ms

Algorithm
intervals
Results
11.0ms304×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
082
1122
2152
3162
4162

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.1b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

6.0b
(/ (* 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

prune51.0ms

Filtered
24 candidates to 16 candidates (33.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New16824
Fresh000
Picked101
Done000
Total17825

Merged error: 0.0b

Counts
25 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(cbrt z)
3.3b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite20.0ms

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)))

series77.0ms

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

simplify52.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0440756
12120661
25002598

prune110.0ms

Filtered
104 candidates to 78 candidates (25.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1031104
Fresh077
Picked011
Done000
Total1039112

Merged error: 0.0b

Counts
112 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

3.3b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
13.2b
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
13.2b
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
13.2b
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×associate-*r*
19×add-cube-cbrt *-un-lft-identity
18×add-cbrt-cube
14×cbrt-prod
9×cbrt-div
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×frac-times associate-*r/ associate-*l/ add-log-exp
3×pow1/3
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 95
Calls
4 calls:
17.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
8.0ms
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
8.0ms
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
8.0ms
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))

series73.0ms

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

simplify59.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04811074
12283940
25001862

prune146.0ms

Filtered
107 candidates to 86 candidates (19.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1052107
Fresh077
Picked101
Done011
Total10610116

Merged error: 0b

Counts
116 → 10

localize24.0ms

Local error

Found 4 expressions with local error:

5.7b
(cbrt (/ x (* (cbrt z) (cbrt z))))
13.2b
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
13.2b
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
13.2b
(cbrt (* (* (cbrt (/ x (* (cbrt z) (cbrt z)))) (cbrt (/ x (* (cbrt z) (cbrt z))))) (* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
46×cbrt-div
19×frac-times
13×associate-*r/ associate-*l/
10×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×times-frac
1×div-inv
Counts
4 → 64
Calls
4 calls:
5.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
8.0ms
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
8.0ms
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
18.0ms
(cbrt (* (* (cbrt (/ x (* (cbrt z) (cbrt z)))) (cbrt (/ x (* (cbrt z) (cbrt z))))) (* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z)))))

series97.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
22.0ms
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
22.0ms
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
22.0ms
(cbrt (* (* (cbrt (/ x (* (cbrt z) (cbrt z)))) (cbrt (/ x (* (cbrt z) (cbrt z))))) (* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
03611098
17701008
22003808
35002785

prune86.0ms

Filtered
76 candidates to 62 candidates (18.4%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh088
Picked011
Done011
Total761086

Merged error: 0b

Counts
86 → 10

regimes510.0ms

Accuracy

92% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 5.8b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02816
12816

end0.0ms

sample535.0ms

Algorithm
intervals
Results
204.0ms9568×body80valid

Profiling

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