Details

Time bar (total: 35.1s)

sample78.0ms

Algorithm
intervals
Results
22.0ms308×body80nan
20.0ms273×body80valid

simplify5.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01214
12414
26414
318814
445414
590614
6207814
done500114

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

rewrite371.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
31×add-sqr-sqrt
25×add-cube-cbrt
24×prod-diff
16×add-exp-log add-cbrt-cube
15×distribute-rgt-in distribute-lft-in
12×associate-*r*
11×pow1
8×distribute-lft-out
6×add-log-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u associate-*l* pow-prod-down sqrt-prod log1p-expm1-u
3×fma-def times-frac associate-/l*
2×cbrt-undiv sub-neg associate-*r/ div-exp associate--l+ *-commutative distribute-lft-out-- unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ clear-num associate-/r* sum-log flip-- flip-+ div-inv difference-of-squares
Counts
4 → 119
Calls
4 calls:
20.0ms
(+ y (/ 1.0 (* x 9.0)))
313.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
17.0ms
(* 3.0 (sqrt x))
14.0ms
(/ 1.0 (* x 9.0))

series264.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ y (/ 1.0 (* x 9.0)))
127.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
64.0ms
(* 3.0 (sqrt x))
30.0ms
(/ 1.0 (* x 9.0))

simplify2.8s

Counts
131 → 131
Iterations

Useful iterations: done (2.8s)

IterNodesCost
02302240
16561945
239051674
done50011671

prune676.0ms

Pruning

11 alts after pruning (11 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))
0.2b
(/ (/ 1.0 x) 9.0)
0.3b
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
0.3b
(* 3.0 (sqrt x))

rewrite719.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
75×times-frac
71×add-sqr-sqrt
65×add-cube-cbrt
24×prod-diff
16×add-exp-log add-cbrt-cube
15×distribute-rgt-in distribute-lft-in
13×associate-/l*
12×associate-*r*
11×pow1
8×distribute-lft-out
6×add-log-exp
5×div-inv
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod log1p-expm1-u
3×cbrt-undiv fma-def div-exp associate-/r*
2×sub-neg associate-*r/ associate--l+ *-commutative distribute-lft-out-- unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ clear-num sum-log flip-- flip-+ associate-/l/ difference-of-squares
Counts
4 → 168
Calls
4 calls:
42.0ms
(+ y (/ (/ 1.0 x) 9.0))
20.0ms
(/ (/ 1.0 x) 9.0)
616.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
25.0ms
(* 3.0 (sqrt x))

series271.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ y (/ (/ 1.0 x) 9.0))
35.0ms
(/ (/ 1.0 x) 9.0)
118.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
72.0ms
(* 3.0 (sqrt x))

simplify3.5s

Counts
180 → 180
Iterations

Useful iterations: done (3.5s)

IterNodesCost
03302917
19142626
248542295
done50002293

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.5s

Algorithm
rewrite-expression-head
Rules
1557×times-frac
765×*-un-lft-identity
754×add-sqr-sqrt
748×add-cube-cbrt
568×sqrt-prod
95×associate-/l*
58×div-inv
25×add-exp-log add-cbrt-cube
24×prod-diff
15×distribute-rgt-in distribute-lft-in
12×associate-*r* associate-/r*
11×pow1
9×cbrt-undiv div-exp
7×distribute-lft-out
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg frac-2neg associate-*r/ associate--l+ clear-num *-commutative associate-/l/ distribute-lft-out-- unswap-sqr
1×flip3-- flip-- difference-of-squares
Counts
4 → 792
Calls
4 calls:
21.0ms
(/ (/ 1.0 x) (sqrt 9.0))
5.2s
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))) 1.0))
18.0ms
(* 3.0 (sqrt x))
88.0ms
(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))

series600.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(/ (/ 1.0 x) (sqrt 9.0))
282.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))) 1.0))
70.0ms
(* 3.0 (sqrt x))
159.0ms
(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))

simplify1.9s

Counts
804 → 804
Iterations

Useful iterations: done (1.9s)

IterNodesCost
097217952
1248915425
done500114462

prune3.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
342×times-frac
246×add-sqr-sqrt
240×*-un-lft-identity
233×add-cube-cbrt
129×prod-diff
43×fma-neg
21×div-inv
16×add-exp-log add-cbrt-cube
13×associate-/l*
11×pow1
9×associate-*l*
6×associate-*r/ associate-*r* add-log-exp
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u pow-prod-down prod-exp sqrt-prod cbrt-unprod log1p-expm1-u
3×cbrt-undiv div-exp associate-/r* difference-of-squares
2×flip3-+ *-commutative flip-+ distribute-lft-out distribute-lft-out-- unswap-sqr
1×sub-neg flip3-- frac-2neg diff-log clear-num flip-- associate-/l/
Counts
4 → 318
Calls
4 calls:
93.0ms
(- (/ (/ 1.0 x) 9.0) 1.0)
572.0ms
(* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0)))
19.0ms
(/ (/ 1.0 x) 9.0)
421.0ms
(* 3.0 (* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0))))

series267.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- (/ (/ 1.0 x) 9.0) 1.0)
86.0ms
(* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0)))
32.0ms
(/ (/ 1.0 x) 9.0)
92.0ms
(* 3.0 (* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0))))

simplify2.1s

Counts
330 → 330
Iterations

Useful iterations: done (2.1s)

IterNodesCost
04176695
110615594
243074699
done50004693

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

regimes216.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01724
12424
done2424

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.2s8592×body80nan
742.0ms8557×body80valid