Details

Time bar (total: 3.2s)

sample27.0ms

Algorithm
intervals
Results
8.0ms303×body80valid

simplify11.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

6.2b
(/ (* x y) z)

rewrite10.0ms

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:
10.0ms
(/ (* x y) z)

series20.0ms

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

simplify62.0ms

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))

rewrite14.0ms

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

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(/ x (/ z y))

simplify37.0ms

Counts
73 → 73
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0325452
11331432
25002431
done5002431

prune146.0ms

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)))

rewrite113.0ms

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
7×associate-*l*
6×pow1 rec-exp 1-exp
4×add-log-exp
3×associate-/l*
2×pow1/3 associate-/r/
1×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))
84.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) y)))

series519.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(cbrt z)
169.0ms
(cbrt z)
107.0ms
(/ x (/ (cbrt z) y))
45.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) y)))

simplify46.0ms

Counts
272 → 272
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
011492520
150022118
done50022118

prune680.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
5.1b
(* (/ (* (cbrt x) (cbrt x)) z) (* y (cbrt x)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
18×add-cbrt-cube
11×prod-exp cbrt-unprod
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
4×cbrt-undiv div-exp add-log-exp
3×times-frac pow1/3 pow-prod-down
1×associate-*r* associate-*l/ *-commutative div-inv
Counts
4 → 64
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
42.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* y (cbrt x)))

series580.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
175.0ms
(cbrt x)
183.0ms
(cbrt x)
45.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* y (cbrt x)))

simplify35.0ms

Counts
76 → 76
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0246423
11085328
25001290
done5001290

prune140.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes225.0ms

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

sample404.0ms

Algorithm
intervals
Results
156.0ms9648×body80valid