Details

Time bar (total: 6.7s)

sample21.0ms

Algorithm
intervals
Results
7.0ms296×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
185
2125
3155
4165
done165

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.3b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

6.1b
(/ (* x y) z)

rewrite6.0ms

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:
5.0ms
(/ (* x y) z)

series5.0ms

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

simplify2.6s

Counts
24 → 24
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
048186
1111179
2383149
31788149
done5001149

prune50.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New16824
Fresh000
Picked011
Done000
Total16925

Merged error: 0.0b

Counts
25 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(* (cbrt z) (cbrt z))
3.1b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
33×cbrt-prod
29×add-cube-cbrt *-un-lft-identity
28×times-frac associate-*r*
27×add-exp-log
18×add-cbrt-cube
13×pow1 associate-*l*
10×unswap-sqr
9×prod-exp cbrt-unprod
8×pow1/3
7×cbrt-undiv div-exp
6×swap-sqr
4×add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 frac-times pow-plus associate-*r/ associate-*l/
Counts
4 → 121
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
6.0ms
(* (cbrt z) (cbrt z))
15.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series88.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt z)
23.0ms
(cbrt z)
31.0ms
(* (cbrt z) (cbrt z))
11.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify796.0ms

Counts
133 → 133
Iterations

Useful iterations: done (793.0ms)

IterNodesCost
01871528
15151420
220661174
done50001166

prune146.0ms

Filtered
96 candidates to 133 candidates (-38.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1294133
Fresh257
Picked101
Done011
Total13210142

Merged error: 0.0b

Counts
142 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt z) (cbrt z)))
0.6b
(cbrt (cbrt z))
0.7b
(* (* (/ x (* (cbrt z) (cbrt z))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt z) (cbrt z))))) (/ (cbrt y) (cbrt (cbrt z))))
1.4b
(* (/ x (* (cbrt z) (cbrt z))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt z) (cbrt z)))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
144×add-exp-log
94×cbrt-prod
70×add-cbrt-cube
68×times-frac
66×associate-*r*
65×prod-exp cbrt-unprod
57×add-sqr-sqrt
47×add-cube-cbrt *-un-lft-identity
46×cbrt-undiv div-exp
11×pow1
8×associate-*l*
6×frac-times associate-*l/ unswap-sqr
4×associate-*r/ pow-prod-down add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 190
Calls
4 calls:
4.0ms
(cbrt (* (cbrt z) (cbrt z)))
2.0ms
(cbrt (cbrt z))
26.0ms
(* (* (/ x (* (cbrt z) (cbrt z))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt z) (cbrt z))))) (/ (cbrt y) (cbrt (cbrt z))))
18.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt z) (cbrt z)))))

series138.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(cbrt (* (cbrt z) (cbrt z)))
32.0ms
(cbrt (cbrt z))
7.0ms
(* (* (/ x (* (cbrt z) (cbrt z))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt z) (cbrt z))))) (/ (cbrt y) (cbrt (cbrt z))))
59.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt z) (cbrt z)))))

simplify458.0ms

Counts
202 → 202
Iterations

Useful iterations: 1 (153.0ms)

IterNodesCost
03885754
112265514
done50005514

prune170.0ms

Filtered
131 candidates to 202 candidates (-54.2%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2020202
Fresh088
Picked011
Done011
Total20210212

Merged error: 0.0b

Counts
212 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt z) (cbrt z)))
0.6b
(cbrt (* (cbrt z) (cbrt z)))
0.6b
(cbrt (* (cbrt z) (cbrt z)))
3.1b
(* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (* (cbrt z) (cbrt z)))) (cbrt (* (cbrt z) (cbrt z))))) (/ y (cbrt z)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
27×add-sqr-sqrt
24×add-cbrt-cube
23×times-frac
22×associate-*r*
19×add-cube-cbrt *-un-lft-identity
14×prod-exp cbrt-unprod
13×cbrt-prod
10×cbrt-undiv div-exp
7×associate-*l*
6×pow1
4×add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 87
Calls
4 calls:
4.0ms
(cbrt (* (cbrt z) (cbrt z)))
4.0ms
(cbrt (* (cbrt z) (cbrt z)))
4.0ms
(cbrt (* (cbrt z) (cbrt z)))
20.0ms
(* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (* (cbrt z) (cbrt z)))) (cbrt (* (cbrt z) (cbrt z))))) (/ y (cbrt z)))

series132.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(cbrt (* (cbrt z) (cbrt z)))
37.0ms
(cbrt (* (cbrt z) (cbrt z)))
46.0ms
(cbrt (* (cbrt z) (cbrt z)))
11.0ms
(* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (* (cbrt z) (cbrt z)))) (cbrt (* (cbrt z) (cbrt z))))) (/ y (cbrt z)))

simplify819.0ms

Counts
99 → 99
Iterations

Useful iterations: 2 (311.0ms)

IterNodesCost
01722478
15112392
221241334
done50001334

prune116.0ms

Filtered
81 candidates to 99 candidates (-22.2%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh077
Picked011
Done022
Total9910109

Merged error: 0.0b

Counts
109 → 10

regimes439.0ms

Accuracy

42.9% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 4.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02449
12749
done2749

end0.0ms

sample574.0ms

Algorithm
intervals
Results
211.0ms9538×body80valid

Profiling

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