Details

Time bar (total: 4.5s)

sample20.0ms

Algorithm
intervals
Results
6.0ms301×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 (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.2b

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)

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(/ (* x y) z)

simplify58.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
011185
151470
2247170
3500170

prune83.0ms

Filtered
24 candidates to 16 candidates (66.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New17724
Fresh000
Picked101
Done000
Total18725

Merged error: 0.0b

Counts
25 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.9b
(* (/ 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)))

series564.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt z)
174.0ms
(cbrt z)
168.0ms
(cbrt z)
49.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0420720
12228581
25001542

prune377.0ms

Filtered
104 candidates to 82 candidates (78.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1022104
Fresh066
Picked011
Done000
Total1029111

Merged error: 0.0b

Counts
111 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

2.9b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
14.6b
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
14.6b
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
14.6b
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))

rewrite46.0ms

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))))

series312.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
87.0ms
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
87.0ms
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
91.0ms
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))

simplify55.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04691056
12225922
25001844

prune461.0ms

Filtered
107 candidates to 86 candidates (80.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh077
Picked011
Done011
Total1079116

Merged error: 0.0b

Counts
116 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z)))
6.5b
(cbrt (/ x (* (cbrt z) (cbrt z))))
6.5b
(cbrt (/ x (* (cbrt z) (cbrt z))))
6.5b
(cbrt (/ x (* (cbrt z) (cbrt z))))

rewrite31.0ms

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:
13.0ms
(* (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))))

series775.0ms

Counts
4 → 12
Calls
4 calls:
354.0ms
(* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z)))
141.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
136.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
144.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))

simplify45.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03561113
113041057
250011050

prune518.0ms

Filtered
117 candidates to 103 candidates (88.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1161117
Fresh066
Picked011
Done112
Total1179126

Merged error: 0b

Counts
126 → 9

regimes453.0ms

Accuracy

77% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 5.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02820
12820

end0.0ms

sample509.0ms

Algorithm
intervals
Results
193.0ms9583×body80valid

Profiling

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