Details

Time bar (total: 15.5s)

sample63.0ms

Algorithm
intervals
Results
19.0ms272×body80valid
16.0ms324×body80nan

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5006
92920
81615
7959
6645
5435
4318
3176
262
124
012

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize20.0ms

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

rewrite218.0ms

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:
13.0ms
(+ y (/ 1.0 (* x 9.0)))
187.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
6.0ms
(/ 1.0 (* x 9.0))
8.0ms
(* 3.0 (sqrt x))

series210.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ y (/ 1.0 (* x 9.0)))
91.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
25.0ms
(/ 1.0 (* x 9.0))
54.0ms
(* 3.0 (sqrt x))

simplify1.4s

Counts
96 → 96
Iterations
IterNodes
done5007
21635
1482
0178

prune550.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

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

rewrite313.0ms

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)))
167.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
6.0ms
(/ 1.0 (* x 9.0))
130.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series244.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ y (/ 1.0 (* x 9.0)))
86.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
25.0ms
(/ 1.0 (* x 9.0))
95.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify1.3s

Counts
110 → 110
Iterations
IterNodes
done5015
21610
1458
0177

prune419.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
13×add-sqr-sqrt
12×associate-*r*
10×pow1 add-cbrt-cube add-exp-log
7×add-cube-cbrt
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×distribute-rgt-in distribute-lft-in
2×sub-neg associate--l+ associate-*r/ *-commutative distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative sum-log flip3-+ flip3-- flip-+ flip-- difference-of-squares
Counts
3 → 63
Calls
3 calls:
11.0ms
(+ y (/ 0.1111111111111111 x))
162.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
13.0ms
(* 3.0 (sqrt x))

series178.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ y (/ 0.1111111111111111 x))
89.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
44.0ms
(* 3.0 (sqrt x))

simplify1.1s

Counts
72 → 72
Iterations
IterNodes
done5002
21324
1393
0140

prune309.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

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

rewrite800.0ms

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 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 → 143
Calls
4 calls:
494.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
146.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
6.0ms
(/ 1.0 (* x 9.0))
149.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series413.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
82.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
23.0ms
(/ 1.0 (* x 9.0))
191.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify1.8s

Counts
155 → 155
Iterations
IterNodes
done5003
22402
1699
0242

prune636.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes174.0ms

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

sample2.4s

Algorithm
intervals
Results
1.0s8633×body80nan
715.0ms8530×body80valid