Details

Time bar (total: 15.2s)

sample53.0ms

Algorithm
intervals
Results
18.0ms274×body80valid
17.0ms279×body80nan

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5006
92920
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

localize29.0ms

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

rewrite146.0ms

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:
12.0ms
(+ y (/ 1.0 (* x 9.0)))
6.0ms
(/ 1.0 (* x 9.0))
7.0ms
(* 3.0 (sqrt x))
121.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

series217.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ y (/ 1.0 (* x 9.0)))
27.0ms
(/ 1.0 (* x 9.0))
56.0ms
(* 3.0 (sqrt x))
92.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

simplify1.3s

Counts
100 → 100
Iterations
IterNodes
done5001
21625
1482
0182

prune305.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite122.0ms

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:
9.0ms
(+ y (/ (/ 1.0 x) 9.0))
7.0ms
(* 3.0 (sqrt x))
7.0ms
(/ (/ 1.0 x) 9.0)
97.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))

series159.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ y (/ (/ 1.0 x) 9.0))
41.0ms
(* 3.0 (sqrt x))
21.0ms
(/ (/ 1.0 x) 9.0)
68.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))

simplify1.4s

Counts
149 → 149
Iterations
IterNodes
done5012
22274
1727
0282

prune667.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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

rewrite358.0ms

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)))
6.0ms
(/ 1.0 (* x 9.0))
177.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
165.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series236.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ y (/ 1.0 (* x 9.0)))
34.0ms
(/ 1.0 (* x 9.0))
101.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
69.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify1.3s

Counts
114 → 114
Iterations
IterNodes
done5008
21619
1460
0181

prune466.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite704.0ms

Algorithm
rewrite-expression-head
Rules
51×distribute-rgt-in distribute-lft-in
37×add-exp-log
32×pow1
25×add-cbrt-cube
20×prod-exp cbrt-unprod
19×pow-prod-down
17×add-sqr-sqrt
16×*-un-lft-identity
14×sub-neg associate--l+
13×associate-*l*
12×associate-*r/
11×add-cube-cbrt
8×associate-*r*
4×sqrt-prod insert-posit16 add-log-exp
3×cbrt-prod times-frac flip3-- *-commutative flip-- associate-/l*
2×cbrt-undiv div-exp distribute-lft-out-- unswap-sqr
1×clear-num associate-/r* frac-2neg div-inv distribute-lft-out difference-of-squares
Counts
4 → 147
Calls
4 calls:
12.0ms
(/ 1.0 (* x 9.0))
183.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
383.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
121.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series440.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ 1.0 (* x 9.0))
84.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
129.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
198.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify1.8s

Counts
159 → 159
Iterations
IterNodes
done5005
22367
1703
0246

prune473.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done35
335
228
124
015

end0.0ms

sample1.7s

Algorithm
intervals
Results
851.0ms8385×body80nan
563.0ms8533×body80valid