Details

Time bar (total: 9.4s)

sample24.0ms

Algorithm
intervals
Results
9.0ms312×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
185
2125
3155
4165
done165

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize7.0ms

Local error

Found 1 expressions with local error:

7.3b
(/ (* x y) z)

rewrite15.0ms

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:
14.0ms
(/ (* x y) z)

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(/ (* x y) z)

simplify684.0ms

Counts
24 → 24
Iterations

Useful iterations: done (683.0ms)

IterNodesCost
048186
1119179
2627155
done5000149

prune48.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
4.6b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite52.0ms

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)
46.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series790.0ms

Counts
4 → 12
Calls
4 calls:
236.0ms
(cbrt z)
245.0ms
(cbrt z)
246.0ms
(cbrt z)
62.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify1.6s

Counts
104 → 104
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01401213
14521163
23006877
done5000796

prune247.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

5.9b
(* x (/ y z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
23.0ms
(* x (/ y z))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* x (/ y z))

simplify2.7s

Counts
35 → 35
Iterations

Useful iterations: done (2.7s)

IterNodesCost
069277
1179264
2668234
34625234
done5001230

prune107.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.6b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×pow1
5×associate-*r*
4×cbrt-undiv div-exp add-log-exp
3×pow1/3 associate-*l*
2×times-frac unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 63
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(cbrt y)
80.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series853.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(cbrt y)
253.0ms
(cbrt y)
268.0ms
(cbrt y)
110.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify809.0ms

Counts
75 → 75
Iterations

Useful iterations: done (807.0ms)

IterNodesCost
0115782
1317747
21519565
done5001532

prune229.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes212.0ms

Accuracy

82.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: done (6.0ms)

IterNodesCost
02149
12645
22941
33241
done3240

end0.0ms

sample736.0ms

Algorithm
intervals
Results
308.0ms9607×body80valid