Details

Time bar (total: 12.1s)

sample45.0ms

Algorithm
intervals
Results
16.0ms268×body80valid
10.0ms217×body80nan

simplify142.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
12414
24714
37114
48314
59014
610514
712514
813614
done13614

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log *-un-lft-identity add-cbrt-cube
11×add-cube-cbrt
9×add-log-exp
6×pow1 times-frac associate-*r* associate-/l*
4×cbrt-undiv div-exp sqrt-prod
3×diff-log associate-*l* prod-exp cbrt-unprod distribute-lft-out--
2×sub-neg flip3-- frac-2neg associate--l+ clear-num associate-/r* frac-sub flip-- div-inv unswap-sqr
1×associate--l- pow-prod-down *-commutative difference-of-squares
Counts
4 → 85
Calls
4 calls:
174.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
15.0ms
(/ y (* 3.0 (sqrt x)))
10.0ms
(* 3.0 (sqrt x))
13.0ms
(/ 1.0 (* x 9.0))

series228.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
82.0ms
(/ y (* 3.0 (sqrt x)))
59.0ms
(* 3.0 (sqrt x))
26.0ms
(/ 1.0 (* x 9.0))

simplify1.0s

Counts
97 → 97
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02151191
15111096
215581004
done5001981

prune232.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.3b
(/ (/ y 3.0) (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
98×add-sqr-sqrt
87×*-un-lft-identity
82×add-cube-cbrt
44×sqrt-prod
16×associate-/l*
13×add-exp-log add-cbrt-cube
9×div-inv
8×add-log-exp
7×associate-/r*
5×cbrt-undiv div-exp difference-of-squares
3×pow1 diff-log distribute-lft-out--
2×sub-neg flip3-- frac-2neg associate--l+ clear-num frac-sub flip--
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
3 → 158
Calls
3 calls:
131.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
13.0ms
(/ (/ y 3.0) (sqrt x))
8.0ms
(/ 1.0 (* x 9.0))

series164.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
81.0ms
(/ (/ y 3.0) (sqrt x))
24.0ms
(/ 1.0 (* x 9.0))

simplify1.2s

Counts
167 → 167
Iterations

Useful iterations: done (1.2s)

IterNodesCost
03292616
17542396
220022324
done50002307

prune570.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- 1.0 (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) (/ (/ y 3.0) (sqrt x)))
0.3b
(/ (/ y 3.0) (sqrt x))
0.4b
(* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))

rewrite460.0ms

Algorithm
rewrite-expression-head
Rules
175×times-frac
127×add-sqr-sqrt
97×*-un-lft-identity
95×add-cube-cbrt
44×sqrt-prod
29×add-exp-log
22×associate-*r* add-cbrt-cube
13×associate-/l*
11×cbrt-prod
10×cbrt-undiv div-exp div-inv
8×prod-exp cbrt-unprod add-log-exp
7×associate-*l*
6×associate-/r* unswap-sqr
5×pow1 difference-of-squares
3×diff-log
2×sub-neg flip3-- associate--l+ frac-sub flip--
1×associate--l- frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/ distribute-lft-out--
Counts
3 → 195
Calls
3 calls:
86.0ms
(- (- 1.0 (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) (/ (/ y 3.0) (sqrt x)))
17.0ms
(/ (/ y 3.0) (sqrt x))
54.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))

series306.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(- (- 1.0 (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) (/ (/ y 3.0) (sqrt x)))
74.0ms
(/ (/ y 3.0) (sqrt x))
124.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))

simplify1.8s

Counts
204 → 204
Iterations

Useful iterations: done (1.8s)

IterNodesCost
04073745
110323454
231983044
done50012831

prune700.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×*-un-lft-identity
10×add-exp-log add-cbrt-cube
8×add-cube-cbrt add-log-exp
6×associate-*r*
5×pow1
4×sqrt-prod
3×times-frac diff-log associate-*l* associate-/l* distribute-lft-out--
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp associate--l+ frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv difference-of-squares
Counts
3 → 64
Calls
3 calls:
132.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
13.0ms
(/ y (* 3.0 (sqrt x)))
14.0ms
(* 3.0 (sqrt x))

series178.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
75.0ms
(/ y (* 3.0 (sqrt x)))
40.0ms
(* 3.0 (sqrt x))

simplify2.3s

Counts
73 → 73
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0175938
1434866
21227792
34495771
done5000771

prune184.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01112
11212
done1212

end0.0ms

sample1.8s

Algorithm
intervals
Results
685.0ms8572×body80valid
528.0ms8683×body80nan