Details

Time bar (total: 14.4s)

sample79.0ms

Algorithm
intervals
Results
21.0ms271×body80nan
21.0ms273×body80valid

simplify1.6s

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize27.0ms

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))
0.2b
(* 3.0 (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

rewrite578.0ms

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:
9.0ms
(+ y (/ 1.0 (* x 9.0)))
553.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
8.0ms
(* 3.0 (sqrt x))
6.0ms
(/ 1.0 (* x 9.0))

series184.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ y (/ 1.0 (* x 9.0)))
96.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
38.0ms
(* 3.0 (sqrt x))
21.0ms
(/ 1.0 (* x 9.0))

simplify949.0ms

Counts
96 → 96
Iterations
IterNodes
done5001
22624
1483
0178

prune485.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* 1.0 (/ (/ 1 x) 9.0)))
0.2b
(* (* 3.0 (sqrt x)) (- (+ y (* 1.0 (/ (/ 1 x) 9.0))) 1.0))
0.2b
(* 3.0 (sqrt x))
0.3b
(/ (/ 1 x) 9.0)

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
56×add-sqr-sqrt
52×*-un-lft-identity
50×add-cube-cbrt
20×add-exp-log
16×add-cbrt-cube
13×associate-/l*
11×pow1 associate-*r*
6×div-exp add-log-exp
5×div-inv
4×associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×distribute-rgt-in cbrt-undiv associate-/r* distribute-lft-in
2×sub-neg associate--l+ associate-*r/ *-commutative unswap-sqr
1×+-commutative rec-exp clear-num sum-log frac-2neg flip3-+ flip3-- 1-exp flip-+ flip-- distribute-lft-out-- difference-of-squares associate-/l/
Counts
4 → 133
Calls
4 calls:
8.0ms
(+ y (* 1.0 (/ (/ 1 x) 9.0)))
99.0ms
(* (* 3.0 (sqrt x)) (- (+ y (* 1.0 (/ (/ 1 x) 9.0))) 1.0))
14.0ms
(* 3.0 (sqrt x))
17.0ms
(/ (/ 1 x) 9.0)

series219.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ y (* 1.0 (/ (/ 1 x) 9.0)))
96.0ms
(* (* 3.0 (sqrt x)) (- (+ y (* 1.0 (/ (/ 1 x) 9.0))) 1.0))
50.0ms
(* 3.0 (sqrt x))
30.0ms
(/ (/ 1 x) 9.0)

simplify1.7s

Counts
145 → 145
Iterations
IterNodes
done5000
23770
1742
0277

prune664.0ms

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

rewrite485.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
60×*-un-lft-identity
54×add-sqr-sqrt
50×add-cube-cbrt
16×add-cbrt-cube add-exp-log
13×associate-/l*
11×pow1
9×add-log-exp
8×associate-*l* associate-*l/
7×associate-*r*
6×frac-add
5×div-inv
4×pow-prod-down prod-exp associate-*r/ sqrt-prod cbrt-unprod distribute-lft-out
3×cbrt-undiv associate-/r* flip3-+ flip3-- div-exp flip-+ flip--
2×associate-+r+ sum-log *-commutative distribute-lft-out-- unswap-sqr
1×+-commutative clear-num associate-+r- sub-neg frac-2neg diff-log associate-/l/
Counts
4 → 139
Calls
4 calls:
83.0ms
(+ (/ (/ 1.0 9.0) x) (- y 1.0))
212.0ms
(* (+ (/ (/ 1.0 9.0) x) (- y 1.0)) (sqrt x))
164.0ms
(* 3.0 (* (+ (/ (/ 1.0 9.0) x) (- y 1.0)) (sqrt x)))
16.0ms
(/ (/ 1.0 9.0) x)

series241.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(+ (/ (/ 1.0 9.0) x) (- y 1.0))
83.0ms
(* (+ (/ (/ 1.0 9.0) x) (- y 1.0)) (sqrt x))
89.0ms
(* 3.0 (* (+ (/ (/ 1.0 9.0) x) (- y 1.0)) (sqrt x)))
24.0ms
(/ (/ 1.0 9.0) x)

simplify1.3s

Counts
151 → 151
Iterations
IterNodes
done5002
23406
1720
0270

prune825.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (- (/ (* (/ 1 x) 1.0) 9.0) 1.0))
0.3b
(/ (* (/ 1 x) 1.0) 9.0)
0.3b
(* (sqrt x) (* 3.0 (- (/ (* (/ 1 x) 1.0) 9.0) 1.0)))
0.4b
(* (sqrt x) (* 3.0 y))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
25×add-cbrt-cube
16×add-sqr-sqrt pow1
15×associate-*l*
14×*-un-lft-identity
12×add-cube-cbrt
11×prod-exp
10×distribute-rgt-in distribute-lft-in
9×cbrt-unprod
7×div-exp associate-*r* pow-prod-down
6×sub-neg associate-*r/ sqrt-prod
4×cbrt-undiv add-log-exp
3×associate-/r* times-frac *-commutative
2×flip3-- flip--
1×rec-exp clear-num frac-2neg 1-exp associate-*l/ div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr associate-/l/
Counts
4 → 104
Calls
4 calls:
83.0ms
(* 3.0 (- (/ (* (/ 1 x) 1.0) 9.0) 1.0))
25.0ms
(/ (* (/ 1 x) 1.0) 9.0)
101.0ms
(* (sqrt x) (* 3.0 (- (/ (* (/ 1 x) 1.0) 9.0) 1.0)))
21.0ms
(* (sqrt x) (* 3.0 y))

series271.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* 3.0 (- (/ (* (/ 1 x) 1.0) 9.0) 1.0))
21.0ms
(/ (* (/ 1 x) 1.0) 9.0)
89.0ms
(* (sqrt x) (* 3.0 (- (/ (* (/ 1 x) 1.0) 9.0) 1.0)))
67.0ms
(* (sqrt x) (* 3.0 y))

simplify1.4s

Counts
116 → 116
Iterations
IterNodes
done5000
23029
1593
0216

prune506.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes148.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done24
124
016

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s8552×body80valid
624.0ms8688×body80nan