Details

Time bar (total: 14.4s)

sample26.0ms

Algorithm
intervals
Results
12.0ms313×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
185
2125
3155
4165
done165

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize7.0ms

Local error

Found 1 expressions with local error:

6.4b
(/ (* x y) z)

rewrite26.0ms

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:
25.0ms
(/ (* x y) z)

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ (* x y) z)

simplify3.2s

Counts
24 → 24
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
048186
1110179
2384149
31757149
done5000149

prune69.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
4.5b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite58.0ms

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)
5.0ms
(cbrt z)
1.0ms
(cbrt z)
48.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series861.0ms

Counts
4 → 12
Calls
4 calls:
281.0ms
(cbrt z)
248.0ms
(cbrt z)
275.0ms
(cbrt z)
57.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify1.5s

Counts
104 → 104
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01401213
14001157
21683867
done5000776

prune262.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt z))
0.6b
(cbrt (cbrt z))
0.6b
(cbrt (cbrt z))
4.5b
(* (/ x (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))) (/ y (cbrt z)))

rewrite486.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
37×cbrt-prod
33×add-sqr-sqrt
30×add-cbrt-cube
25×add-cube-cbrt *-un-lft-identity
23×times-frac
22×associate-*r* prod-exp cbrt-unprod
13×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 → 106
Calls
4 calls:
2.0ms
(cbrt (cbrt z))
2.0ms
(cbrt (cbrt z))
2.0ms
(cbrt (cbrt z))
471.0ms
(* (/ x (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))) (/ y (cbrt z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
386.0ms
(cbrt (cbrt z))
309.0ms
(cbrt (cbrt z))
282.0ms
(cbrt (cbrt z))
66.0ms
(* (/ x (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))) (/ y (cbrt z)))

simplify2.0s

Counts
118 → 118
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01772188
14962109
223261401
done5001950

prune311.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.6b
(cbrt (* (cbrt z) (cbrt z)))
0.6b
(cbrt (cbrt z))
5.2b
(* (/ (/ x (cbrt (* (cbrt z) (cbrt z)))) (* (cbrt z) (cbrt z))) (/ y (cbrt (cbrt z))))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
83×add-sqr-sqrt
59×cbrt-prod
45×add-exp-log
35×add-cube-cbrt *-un-lft-identity
31×associate-*r*
28×add-cbrt-cube
20×associate-*l*
17×cbrt-undiv div-exp
16×unswap-sqr
14×prod-exp cbrt-unprod
6×pow1
4×add-log-exp
3×pow1/3 div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 133
Calls
4 calls:
1.0ms
(cbrt z)
5.0ms
(cbrt (* (cbrt z) (cbrt z)))
1.0ms
(cbrt (cbrt z))
83.0ms
(* (/ (/ x (cbrt (* (cbrt z) (cbrt z)))) (* (cbrt z) (cbrt z))) (/ y (cbrt (cbrt z))))

series989.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(cbrt z)
395.0ms
(cbrt (* (cbrt z) (cbrt z)))
309.0ms
(cbrt (cbrt z))
57.0ms
(* (/ (/ x (cbrt (* (cbrt z) (cbrt z)))) (* (cbrt z) (cbrt z))) (/ y (cbrt (cbrt z))))

simplify1.6s

Counts
145 → 145
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02602968
17632880
232032206
done50012175

prune460.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes375.0ms

Accuracy

84.7% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 6.5b

bsearch1.0ms

simplify20.0ms

Iterations

Useful iterations: 4 (9.0ms)

IterNodesCost
02153
12849
23143
33739
44038
54338
64438
74538
done4538

end0.0ms

sample983.0ms

Algorithm
intervals
Results
350.0ms9623×body80valid