Details

Time bar (total: 4.1s)

sample16.0ms

Algorithm
intervals
Results
5.0ms303×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
082
1122
2152
3162
4162
done162

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize4.0ms

Local error

Found 1 expressions with local error:

6.2b
(/ (* x y) z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
cbrt-undiv div-exp
pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
10.0ms
(/ (* x y) z)

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(/ (* x y) z)

simplify59.0ms

Counts
24 → 24
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
011185
151470
2247170
3500170
done500170

prune43.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

6.0b
(/ x (/ z y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/r*
add-exp-log add-cbrt-cube
div-inv
cbrt-undiv div-exp associate-/l*
pow1 frac-2neg clear-num associate-/r/ add-log-exp
Counts
1 → 70
Calls
1 calls:
11.0ms
(/ x (/ z y))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(/ x (/ z y))

simplify35.0ms

Counts
73 → 73
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0325452
11331432
25002431
done5002431

prune147.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.2b
(/ x (/ (cbrt z) y))
3.5b
(* (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) y)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
284×times-frac
180×add-sqr-sqrt
149×*-un-lft-identity
145×add-cube-cbrt
87×add-exp-log
72×cbrt-prod
71×associate-*r*
36×div-exp
35×add-cbrt-cube
30×prod-exp
22×associate-/r*
18×cbrt-undiv
12×cbrt-unprod unswap-sqr
10×div-inv
associate-*l*
pow1 rec-exp 1-exp
add-log-exp
associate-/l*
pow1/3 associate-/r/
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 260
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
11.0ms
(/ x (/ (cbrt z) y))
85.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) y)))

series529.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(cbrt z)
166.0ms
(cbrt z)
105.0ms
(/ x (/ (cbrt z) y))
43.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) y)))

simplify44.0ms

Counts
272 → 272
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
011492520
150022118
done50022118

prune741.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.2b
(/ x (/ (cbrt z) y))
3.5b
(/ (/ x (/ (cbrt z) y)) (* (cbrt z) (cbrt z)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
449×times-frac
205×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
96×cbrt-prod
74×associate-/l*
30×add-exp-log
23×associate-/r*
21×add-cbrt-cube
15×cbrt-undiv div-exp
14×div-inv
pow1 add-log-exp
prod-exp associate-/r/ cbrt-unprod
frac-2neg pow1/3 clear-num
associate-/l/
Counts
4 → 294
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
11.0ms
(/ x (/ (cbrt z) y))
36.0ms
(/ (/ x (/ (cbrt z) y)) (* (cbrt z) (cbrt z)))

series516.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt z)
176.0ms
(cbrt z)
111.0ms
(/ x (/ (cbrt z) y))
56.0ms
(/ (/ x (/ (cbrt z) y)) (* (cbrt z) (cbrt z)))

simplify119.0ms

Counts
306 → 306
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
010122927
149872643
250022643
done50022643

prune888.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes222.0ms

Accuracy

86.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 5.5b

bsearch1.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02314
12314
done2314

end0.0ms

sample449.0ms

Algorithm
intervals
Results
170.0ms9648×body80valid