Details

Time bar (total: 15.7s)

sample62.0ms

Algorithm
intervals
Results
17.0ms270×body80valid
16.0ms242×body80nan

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
12414
26414
318814
445414
590614
6207814
done500114

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize16.0ms

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

rewrite250.0ms

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:
12.0ms
(+ y (/ 1.0 (* x 9.0)))
209.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
11.0ms
(* 3.0 (sqrt x))
14.0ms
(/ 1.0 (* x 9.0))

series213.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ y (/ 1.0 (* x 9.0)))
99.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
45.0ms
(* 3.0 (sqrt x))
19.0ms
(/ 1.0 (* x 9.0))

simplify2.0s

Counts
131 → 131
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02302240
16561945
239051674
done50011671

prune415.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite565.0ms

Algorithm
rewrite-expression-head
Rules
96×*-un-lft-identity
75×distribute-rgt-in distribute-lft-in
72×prod-diff
59×add-sqr-sqrt
53×add-cube-cbrt
20×distribute-lft-out
16×add-exp-log add-cbrt-cube
11×pow1
9×associate-*l*
7×associate-*r*
6×sub-neg associate-*r/ associate--l+ add-log-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u pow-prod-down sqrt-prod log1p-expm1-u
3×fma-def times-frac associate-/l*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- distribute-lft-out-- unswap-sqr
1×+-commutative frac-2neg flip3-+ clear-num associate-/r* sum-log flip-+ div-inv difference-of-squares
Counts
4 → 181
Calls
4 calls:
12.0ms
(+ y (/ 1.0 (* x 9.0)))
249.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
286.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
8.0ms
(/ 1.0 (* x 9.0))

series186.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ y (/ 1.0 (* x 9.0)))
58.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
79.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
19.0ms
(/ 1.0 (* x 9.0))

simplify1.8s

Counts
193 → 193
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02774666
17313973
237173341
done50013335

prune427.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 1.0 (* x 9.0)))
0.1b
(* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* (* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0)) (sqrt x))

rewrite614.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
29×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-*r/ associate-*l* pow-prod-down log1p-expm1-u
3×fma-def times-frac sqrt-prod associate-/l*
2×cbrt-undiv sub-neg flip3-- div-exp associate-*l/ associate--l+ *-commutative flip-- distribute-lft-out--
1×+-commutative frac-2neg flip3-+ clear-num associate-/r* sum-log flip-+ div-inv difference-of-squares unswap-sqr
Counts
4 → 120
Calls
4 calls:
18.0ms
(+ y (/ 1.0 (* x 9.0)))
295.0ms
(* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0))
12.0ms
(/ 1.0 (* x 9.0))
281.0ms
(* (* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0)) (sqrt x))

series185.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ y (/ 1.0 (* x 9.0)))
28.0ms
(* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0))
21.0ms
(/ 1.0 (* x 9.0))
105.0ms
(* (* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0)) (sqrt x))

simplify1.3s

Counts
132 → 132
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02212259
15621973
227131673
done50001570

prune349.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 0.3333333333333333 x) 3.0)
0.0b
(fma 3.0 y (- (/ 0.3333333333333333 x) 3.0))
0.3b
(* (fma 3.0 y (- (/ 0.3333333333333333 x) 3.0)) (sqrt x))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
49×*-un-lft-identity
47×add-cube-cbrt
39×prod-diff
37×times-frac
13×fma-neg
6×associate-*r*
5×pow1 add-exp-log add-cbrt-cube add-log-exp
4×sqrt-prod div-inv
3×expm1-log1p-u associate-*l* log1p-expm1-u
2×difference-of-squares unswap-sqr
1×sub-neg flip3-- diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef distribute-lft-out--
Counts
3 → 103
Calls
3 calls:
34.0ms
(- (/ 0.3333333333333333 x) 3.0)
0.0ms
(fma 3.0 y (- (/ 0.3333333333333333 x) 3.0))
15.0ms
(* (fma 3.0 y (- (/ 0.3333333333333333 x) 3.0)) (sqrt x))

series191.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- (/ 0.3333333333333333 x) 3.0)
42.0ms
(fma 3.0 y (- (/ 0.3333333333333333 x) 3.0))
113.0ms
(* (fma 3.0 y (- (/ 0.3333333333333333 x) 3.0)) (sqrt x))

simplify771.0ms

Counts
112 → 112
Iterations

Useful iterations: done (766.0ms)

IterNodesCost
01731875
13771489
210921251
done50011168

prune334.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01522
12020
done2020

end0.0ms

sample2.2s

Algorithm
intervals
Results
946.0ms8513×body80valid
612.0ms8389×body80nan