Details

Time bar (total: 4.1s)

sample31.0ms

Algorithm
intervals
Results
8.0ms275×body80valid
7.0ms260×body80nan

simplify108.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1657
21827
33387
44887
57577
611667
717297
827937
950017
done50017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 1.0 (* x 9.0)))
0.2b
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(* 3.0 (sqrt x))
0.5b
(/ 1.0 (* x 9.0))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-exp-log add-sqr-sqrt add-cbrt-cube
12×associate-*r*
11×pow1
10×add-cube-cbrt
6×add-log-exp
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down sqrt-prod
3×distribute-rgt-in distribute-lft-in times-frac associate-/l*
2×cbrt-undiv sub-neg associate-*r/ div-exp associate--l+ *-commutative distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ clear-num associate-/r* sum-log flip-- flip-+ div-inv difference-of-squares
Counts
4 → 84
Calls
4 calls:
10.0ms
(+ y (/ 1.0 (* x 9.0)))
143.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
9.0ms
(* 3.0 (sqrt x))
7.0ms
(/ 1.0 (* x 9.0))

series144.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ y (/ 1.0 (* x 9.0)))
60.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
38.0ms
(* 3.0 (sqrt x))
17.0ms
(/ 1.0 (* x 9.0))

simplify53.0ms

Counts
96 → 96
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0456548
12172486
25002484
done5002484

prune188.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 1.0 (* x 9.0)))
0.2b
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.5b
(/ 1.0 (* x 9.0))

rewrite325.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-exp-log add-sqr-sqrt add-cbrt-cube
15×distribute-rgt-in distribute-lft-in
11×pow1
10×add-cube-cbrt
9×associate-*l*
7×associate-*r*
6×sub-neg associate-*r/ associate--l+ add-log-exp
5×prod-exp cbrt-unprod
4×pow-prod-down sqrt-prod
3×times-frac associate-/l*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative frac-2neg flip3-+ clear-num associate-/r* sum-log flip-+ div-inv difference-of-squares
Counts
4 → 98
Calls
4 calls:
10.0ms
(+ y (/ 1.0 (* x 9.0)))
159.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
145.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
7.0ms
(/ 1.0 (* x 9.0))

series166.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ y (/ 1.0 (* x 9.0)))
59.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
61.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
19.0ms
(/ 1.0 (* x 9.0))

simplify51.0ms

Counts
110 → 110
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0427770
11858694
25002694
done5002694

prune205.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
0.4b
(* (cbrt 3.0) (sqrt x))
0.5b
(/ 1.0 (* x 9.0))

rewrite306.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
36×pow1
28×add-cbrt-cube
23×prod-exp cbrt-unprod
22×pow-prod-down
21×add-sqr-sqrt
16×*-un-lft-identity
13×associate-*r*
11×add-cube-cbrt
8×associate-*l*
5×cbrt-prod sqrt-prod
4×add-log-exp unswap-sqr
3×distribute-rgt-in distribute-lft-in times-frac *-commutative associate-/l*
2×cbrt-undiv sub-neg associate-*r/ div-exp associate--l+ distribute-lft-out--
1×flip3-- frac-2neg clear-num associate-/r* flip-- div-inv distribute-lft-out difference-of-squares
Counts
4 → 108
Calls
4 calls:
244.0ms
(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
38.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
13.0ms
(* (cbrt 3.0) (sqrt x))
7.0ms
(/ 1.0 (* x 9.0))

series256.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
76.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
65.0ms
(* (cbrt 3.0) (sqrt x))
18.0ms
(/ 1.0 (* x 9.0))

simplify80.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
05731128
13010841
25001776
done5001776

prune248.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (sqrt x))))
0.3b
(* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (sqrt x)))
0.3b
(* (sqrt (cbrt 3.0)) (sqrt x))
0.5b
(/ 1.0 (* x 9.0))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-exp-log
31×add-cbrt-cube
26×add-sqr-sqrt
25×pow-prod-down
22×sqrt-prod
20×prod-exp cbrt-unprod
19×associate-*l*
14×add-cube-cbrt *-un-lft-identity
8×cbrt-prod associate-*r*
6×unswap-sqr
5×sqrt-pow1 pow1/2
4×add-log-exp
3×times-frac sqrt-unprod *-commutative associate-/l*
2×cbrt-undiv div-exp
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 111
Calls
4 calls:
100.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (sqrt x))))
32.0ms
(* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (sqrt x)))
16.0ms
(* (sqrt (cbrt 3.0)) (sqrt x))
7.0ms
(/ 1.0 (* x 9.0))

series237.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (sqrt x))))
66.0ms
(* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (sqrt x)))
75.0ms
(* (sqrt (cbrt 3.0)) (sqrt x))
17.0ms
(/ 1.0 (* x 9.0))

simplify67.0ms

Counts
123 → 123
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0539906
12540729
25001668
done5001668

prune289.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02613
12613
done2613

end0.0ms

sample847.0ms

Algorithm
intervals
Results
249.0ms8437×body80nan
246.0ms8537×body80valid