Details

Time bar (total: 13.1s)

sample46.0ms

Algorithm
intervals
Results
15.0ms297×body80nan
12.0ms269×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5000
61492
5656
4371
3180
264
124
012

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite182.0ms

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
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 → 84
Calls
4 calls:
8.0ms
(+ y (/ 1.0 (* x 9.0)))
151.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
9.0ms
(/ 1.0 (* x 9.0))
11.0ms
(* 3.0 (sqrt x))

series173.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ y (/ 1.0 (* x 9.0)))
74.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
26.0ms
(/ 1.0 (* x 9.0))
43.0ms
(* 3.0 (sqrt x))

simplify1.3s

Counts
96 → 96
Iterations
IterNodes
done5000
22605
1483
0178

prune436.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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)))
0.3b
(/ 1.0 (* x 9.0))

rewrite289.0ms

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
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 → 98
Calls
4 calls:
8.0ms
(+ y (/ 1.0 (* x 9.0)))
148.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
124.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
6.0ms
(/ 1.0 (* x 9.0))

series184.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ y (/ 1.0 (* x 9.0)))
64.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
69.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
20.0ms
(/ 1.0 (* x 9.0))

simplify1.0s

Counts
110 → 110
Iterations
IterNodes
done5000
22104
1459
0177

prune596.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite303.0ms

Algorithm
rewrite-expression-head
Rules
15×distribute-rgt-in distribute-lft-in
14×*-un-lft-identity
13×add-sqr-sqrt
10×pow1 add-cbrt-cube add-exp-log
9×associate-*l*
7×associate-*r* add-cube-cbrt
6×sub-neg associate--l+ associate-*r/
5×add-log-exp
4×pow-prod-down prod-exp sqrt-prod cbrt-unprod
2×flip3-- *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative sum-log flip3-+ flip-+ difference-of-squares
Counts
3 → 77
Calls
3 calls:
8.0ms
(+ y (/ 0.1111111111111111 x))
156.0ms
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
137.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

series161.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ y (/ 0.1111111111111111 x))
60.0ms
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
71.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

simplify1.1s

Counts
86 → 86
Iterations
IterNodes
done5001
21731
1369
0139

prune402.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

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)))
0.3b
(/ (/ 1.0 x) 9.0)

rewrite894.0ms

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
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 → 147
Calls
4 calls:
18.0ms
(+ y (/ (/ 1.0 x) 9.0))
474.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
382.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))
15.0ms
(/ (/ 1.0 x) 9.0)

series183.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ y (/ (/ 1.0 x) 9.0))
60.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
69.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))
19.0ms
(/ (/ 1.0 x) 9.0)

simplify1.3s

Counts
159 → 159
Iterations
IterNodes
done5001
23376
1730
0278

prune792.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes241.0ms

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
done14
114
011

end0.0ms

sample1.9s

Algorithm
intervals
Results
808.0ms8523×body80valid
655.0ms8442×body80nan