Details

Time bar (total: 10.4s)

sample86.0ms

Algorithm
intervals
Results
33.0ms255×body80nan
33.0ms284×body80valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done2000
81615
7959
6645
5435
4318
3176
262
124
012

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize35.0ms

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))
0.4b
(/ 1.0 (* x 9.0))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-sqr-sqrt add-cbrt-cube add-exp-log
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 insert-posit16
3×distribute-rgt-in distribute-lft-in times-frac associate-/l*
2×cbrt-undiv sub-neg div-exp associate--l+ associate-*r/ *-commutative distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative clear-num associate-/r* sum-log frac-2neg flip3-+ flip3-- flip-+ div-inv flip-- difference-of-squares
Counts
4 → 88
Calls
4 calls:
8.0ms
(+ y (/ 1.0 (* x 9.0)))
157.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
7.0ms
(* 3.0 (sqrt x))
6.0ms
(/ 1.0 (* x 9.0))

series208.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ y (/ 1.0 (* x 9.0)))
96.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
57.0ms
(* 3.0 (sqrt x))
24.0ms
(/ 1.0 (* x 9.0))

simplify706.0ms

Counts
100 → 100
Iterations
IterNodes
done2006
21605
1486
0182

prune437.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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)))
0.4b
(/ 1.0 (* x 9.0))

rewrite325.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-sqr-sqrt add-cbrt-cube add-exp-log
15×distribute-rgt-in distribute-lft-in
11×pow1
10×add-cube-cbrt
9×associate-*l*
7×associate-*r*
6×sub-neg associate--l+ associate-*r/ add-log-exp
5×prod-exp cbrt-unprod
4×pow-prod-down sqrt-prod insert-posit16
3×times-frac associate-/l*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative clear-num associate-/r* sum-log frac-2neg flip3-+ flip-+ div-inv difference-of-squares
Counts
4 → 102
Calls
4 calls:
8.0ms
(+ y (/ 1.0 (* x 9.0)))
147.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
162.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
6.0ms
(/ 1.0 (* x 9.0))

series257.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ y (/ 1.0 (* x 9.0)))
93.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
95.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
20.0ms
(/ 1.0 (* x 9.0))

simplify767.0ms

Counts
114 → 114
Iterations
IterNodes
done2070
21614
1463
0181

prune494.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

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

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
57×*-un-lft-identity
56×add-sqr-sqrt
50×add-cube-cbrt
16×add-cbrt-cube add-exp-log
15×distribute-rgt-in distribute-lft-in
13×associate-/l*
11×pow1
9×associate-*l*
7×associate-*r*
6×sub-neg associate--l+ associate-*r/ add-log-exp
5×div-inv
4×pow-prod-down prod-exp sqrt-prod cbrt-unprod insert-posit16
3×cbrt-undiv associate-/r* div-exp
2×flip3-- *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative clear-num sum-log frac-2neg flip3-+ flip-+ difference-of-squares associate-/l/
Counts
4 → 151
Calls
4 calls:
8.0ms
(+ y (/ (/ 1.0 x) 9.0))
118.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
7.0ms
(/ (/ 1.0 x) 9.0)
103.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

series228.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(+ y (/ (/ 1.0 x) 9.0))
79.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
25.0ms
(/ (/ 1.0 x) 9.0)
75.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

simplify538.0ms

Counts
163 → 163
Iterations
IterNodes
done2000
1713
0282

prune552.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ (/ 1.0 x) 9.0))
0.2b
(/ (/ 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))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
57×*-un-lft-identity
56×add-sqr-sqrt
50×add-cube-cbrt
16×add-cbrt-cube add-exp-log
13×associate-/l*
12×associate-*r*
11×pow1
6×add-log-exp
5×div-inv
4×associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod insert-posit16
3×distribute-rgt-in cbrt-undiv associate-/r* distribute-lft-in div-exp
2×sub-neg associate--l+ associate-*r/ *-commutative distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative clear-num sum-log frac-2neg flip3-+ flip3-- flip-+ flip-- difference-of-squares associate-/l/
Counts
4 → 137
Calls
4 calls:
8.0ms
(+ y (/ (/ 1.0 x) 9.0))
7.0ms
(/ (/ 1.0 x) 9.0)
109.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
9.0ms
(* 3.0 (sqrt x))

series172.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ y (/ (/ 1.0 x) 9.0))
20.0ms
(/ (/ 1.0 x) 9.0)
75.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
41.0ms
(* 3.0 (sqrt x))

simplify481.0ms

Counts
149 → 149
Iterations
IterNodes
done2001
1725
0282

prune578.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes117.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.3s8611×body80nan
876.0ms8562×body80valid