Details

Time bar (total: 13.4s)

sample58.0ms

Algorithm
intervals
Results
23.0ms316×body80nan
19.0ms277×body80valid

simplify1.4s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 1.0 (* x 9.0)))
0.3b
(* 3.0 (sqrt x))
0.3b
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.5b
(/ 1.0 (* x 9.0))

rewrite189.0ms

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:
11.0ms
(+ y (/ 1.0 (* x 9.0)))
8.0ms
(* 3.0 (sqrt x))
161.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
8.0ms
(/ 1.0 (* x 9.0))

series196.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ y (/ 1.0 (* x 9.0)))
50.0ms
(* 3.0 (sqrt x))
79.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
27.0ms
(/ 1.0 (* x 9.0))

simplify1.2s

Counts
100 → 100
Iterations
IterNodes
done5000
22608
1487
0182

prune400.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite165.0ms

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)
7.0ms
(* 3.0 (sqrt x))
141.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))

series204.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ y (/ (/ 1.0 x) 9.0))
19.0ms
(/ (/ 1.0 x) 9.0)
54.0ms
(* 3.0 (sqrt x))
94.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))

simplify1.6s

Counts
149 → 149
Iterations
IterNodes
done5000
23745
1747
0282

prune614.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.5b
(/ 1.0 (* x 9.0))

rewrite308.0ms

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)))
116.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
170.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
11.0ms
(/ 1.0 (* x 9.0))

series179.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ y (/ 1.0 (* x 9.0)))
68.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
62.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
19.0ms
(/ 1.0 (* x 9.0))

simplify1.2s

Counts
114 → 114
Iterations
IterNodes
done5001
22113
1462
0181

prune445.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
131×add-sqr-sqrt
93×associate-*r*
87×*-un-lft-identity
81×add-cube-cbrt
76×add-exp-log
45×cbrt-prod
38×add-cbrt-cube
30×div-exp
25×prod-exp
17×cbrt-undiv cbrt-unprod
16×unswap-sqr
13×pow1
11×associate-*l*
9×div-inv
5×pow-prod-down
4×sqrt-prod insert-posit16 add-log-exp
3×distribute-rgt-in rec-exp distribute-lft-in 1-exp associate-*r/ *-commutative associate-/l*
2×sub-neg associate--l+
1×frac-times clear-num associate-/r* frac-2neg flip3-- associate-*l/ flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 214
Calls
4 calls:
11.0ms
(* 3.0 (sqrt x))
59.0ms
(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1.0 (* (cbrt 9.0) (cbrt 9.0))) (/ (/ 1 x) (cbrt 9.0)))) 1.0))
33.0ms
(* (/ 1.0 (* (cbrt 9.0) (cbrt 9.0))) (/ (/ 1 x) (cbrt 9.0)))
7.0ms
(/ 1.0 (* (cbrt 9.0) (cbrt 9.0)))

series366.0ms

Counts
4 → 10
Calls
4 calls:
58.0ms
(* 3.0 (sqrt x))
171.0ms
(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1.0 (* (cbrt 9.0) (cbrt 9.0))) (/ (/ 1 x) (cbrt 9.0)))) 1.0))
136.0ms
(* (/ 1.0 (* (cbrt 9.0) (cbrt 9.0))) (/ (/ 1 x) (cbrt 9.0)))
0.0ms
(/ 1.0 (* (cbrt 9.0) (cbrt 9.0)))

simplify1.2s

Counts
224 → 224
Iterations
IterNodes
done5000
11392
0408

prune925.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes173.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done25
125
019

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.0s8490×body80nan
922.0ms8570×body80valid