Details

Time bar (total: 16.0s)

sample33.0ms

Algorithm
intervals
Results
12.0ms316×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 3 (17.0ms)

IterNodesCost
089
1169
2427
3995
43865
517055
done50015

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.4b

localize4.0ms

Local error

Found 1 expressions with local error:

8.2b
(* (/ y z) x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
14.0ms
(* (/ y z) x)

series25.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(* (/ y z) x)

simplify4.4s

Counts
35 → 35
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
068261
1153256
2423224
31176224
43630224
done5000224

prune72.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-*l*
4×add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×frac-times times-frac associate-*r/ associate-*r* *-commutative div-inv
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
75.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (cbrt y) (cbrt z)) x))

series584.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt y)
190.0ms
(cbrt y)
179.0ms
(cbrt y)
22.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (cbrt y) (cbrt z)) x))

simplify1.4s

Counts
94 → 94
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01211600
13481534
21837780
done5000509

prune167.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite331.0ms

Algorithm
rewrite-expression-head
Rules
144×add-exp-log
80×prod-exp cbrt-unprod
69×add-cbrt-cube
35×cbrt-undiv div-exp
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-*l*
4×add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×frac-times times-frac associate-*r/ associate-*r* *-commutative div-inv
Counts
4 → 102
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
323.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (cbrt z)) x))

series595.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt y)
194.0ms
(cbrt y)
193.0ms
(cbrt y)
24.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (cbrt z)) x))

simplify1.7s

Counts
114 → 114
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01623213
14813086
226891656
done5000639

prune187.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.4b
(/ (* (cbrt y) x) (cbrt z))
2.7b
(sqrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×add-exp-log
8×times-frac
6×associate-/r* add-cbrt-cube
5×pow1 sqrt-prod
4×add-log-exp
2×cbrt-undiv rem-sqrt-square pow1/3 div-exp div-inv
1×frac-2neg sqrt-pow1 pow1/2 sqrt-div prod-exp clear-num cbrt-unprod associate-/l*
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
11.0ms
(/ (* (cbrt y) x) (cbrt z))
15.0ms
(sqrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series517.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt y)
192.0ms
(cbrt y)
77.0ms
(/ (* (cbrt y) x) (cbrt z))
67.0ms
(sqrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify1.1s

Counts
78 → 78
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0120717
1224653
2603533
32298519
done5000500

prune244.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes174.0ms

Accuracy

0.2% (2.0b remaining)

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

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02055
12637
done2637

end0.0ms

sample542.0ms

Algorithm
intervals
Results
238.0ms9582×body80valid