Details

Time bar (total: 13.6s)

sample49.0ms

Algorithm
intervals
Results
23.0ms327×body80valid

simplify63.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
5.1b
(* (/ x y) z)

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*r* associate-*l/
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down *-commutative frac-sub flip-- div-inv sub-div
Counts
2 → 46
Calls
2 calls:
100.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
28.0ms
(* (/ x y) z)

series101.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
37.0ms
(* (/ x y) z)

simplify1.6s

Counts
52 → 52

prune173.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.3b
(* (/ (cbrt x) y) z)
3.3b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×add-cube-cbrt *-un-lft-identity
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×1-exp
4×associate-*r* pow-prod-down associate-*l/ add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 109
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
19.0ms
(* (/ (cbrt x) y) z)
64.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

series873.0ms

Counts
4 → 12
Calls
4 calls:
310.0ms
(cbrt x)
313.0ms
(cbrt x)
175.0ms
(* (/ (cbrt x) y) z)
75.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

simplify1.0s

Counts
121 → 121

prune574.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
1.1b
(* (/ (cbrt x) (sqrt 1)) (/ (* (* (/ (cbrt x) y) z) (cbrt x)) 1))
1.3b
(* (/ (cbrt x) y) z)
2.4b
(* (* (/ (cbrt x) y) z) (cbrt x))

rewrite261.0ms

Algorithm
rewrite-expression-head
Rules
95×add-exp-log
74×add-sqr-sqrt
65×times-frac
63×associate-*l*
50×*-un-lft-identity
48×add-cube-cbrt
45×prod-exp add-cbrt-cube
37×cbrt-prod
31×div-exp
27×cbrt-unprod
22×sqrt-prod
17×cbrt-undiv
16×associate-*r*
13×pow1
10×unswap-sqr
8×1-exp
5×pow-prod-down
4×associate-*l/ add-log-exp
3×*-commutative div-inv
1×frac-times pow1/3 associate-*r/
Counts
4 → 171
Calls
4 calls:
2.0ms
(cbrt x)
157.0ms
(* (/ (cbrt x) (sqrt 1)) (/ (* (* (/ (cbrt x) y) z) (cbrt x)) 1))
38.0ms
(* (/ (cbrt x) y) z)
48.0ms
(* (* (/ (cbrt x) y) z) (cbrt x))

series799.0ms

Counts
4 → 12
Calls
4 calls:
284.0ms
(cbrt x)
58.0ms
(* (/ (cbrt x) (sqrt 1)) (/ (* (* (/ (cbrt x) y) z) (cbrt x)) 1))
186.0ms
(* (/ (cbrt x) y) z)
270.0ms
(* (* (/ (cbrt x) y) z) (cbrt x))

simplify2.0s

Counts
183 → 183

prune695.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.1b
(* (/ (cbrt x) (sqrt 1)) (/ (* (/ (cbrt x) y) (* z (cbrt x))) 1))
2.9b
(* (/ (cbrt x) y) (* z (cbrt x)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
113×add-exp-log
64×add-sqr-sqrt
63×times-frac
62×associate-*l*
54×add-cbrt-cube
52×prod-exp
48×*-un-lft-identity
46×add-cube-cbrt
41×div-exp
36×cbrt-prod
30×cbrt-unprod
22×cbrt-undiv sqrt-prod
11×pow1
10×1-exp
8×associate-*r*
7×unswap-sqr
4×pow-prod-down add-log-exp
3×div-inv
2×pow1/3 associate-*l/ *-commutative
1×frac-times associate-*r/
Counts
4 → 164
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
87.0ms
(* (/ (cbrt x) (sqrt 1)) (/ (* (/ (cbrt x) y) (* z (cbrt x))) 1))
33.0ms
(* (/ (cbrt x) y) (* z (cbrt x)))

series783.0ms

Counts
4 → 12
Calls
4 calls:
244.0ms
(cbrt x)
252.0ms
(cbrt x)
71.0ms
(* (/ (cbrt x) (sqrt 1)) (/ (* (/ (cbrt x) y) (* z (cbrt x))) 1))
215.0ms
(* (/ (cbrt x) y) (* z (cbrt x)))

simplify1.7s

Counts
176 → 176

prune600.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes228.0ms

Accuracy

-50.7% (3.3b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 2.2b

bsearch3.0ms

simplify482.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
900.0ms10150×body80valid