Details

Time bar (total: 40.3s)

sample38.0ms

Algorithm
intervals
Results
12.0ms276×body80valid
9.0ms222×body80nan

simplify25.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
12414
26414
318814
440014
561614
699514
7139414
8186614
9260614
10363414
11421414
12431014
13431114
done431114

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize26.0ms

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))

rewrite295.0ms

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:
14.0ms
(+ y (/ 1.0 (* x 9.0)))
257.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
8.0ms
(/ 1.0 (* x 9.0))
11.0ms
(* 3.0 (sqrt x))

series169.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ y (/ 1.0 (* x 9.0)))
71.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
19.0ms
(/ 1.0 (* x 9.0))
44.0ms
(* 3.0 (sqrt x))

simplify1.4s

Counts
131 → 131
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02302240
15751933
218281666
done50021567

prune452.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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))

rewrite662.0ms

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:
48.0ms
(+ y (/ (/ 1.0 x) 9.0))
571.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
12.0ms
(/ (/ 1.0 x) 9.0)
17.0ms
(* 3.0 (sqrt x))

series229.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ y (/ (/ 1.0 x) 9.0))
112.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
18.0ms
(/ (/ 1.0 x) 9.0)
68.0ms
(* 3.0 (sqrt x))

simplify1.8s

Counts
180 → 180
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03302917
17972566
222282295
done50022196

prune587.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
136×*-un-lft-identity
99×add-sqr-sqrt
93×add-cube-cbrt
75×distribute-rgt-in distribute-lft-in times-frac
72×prod-diff
20×distribute-lft-out
16×add-exp-log add-cbrt-cube
13×associate-/l*
11×pow1
9×associate-*l*
7×associate-*r*
6×sub-neg associate-*r/ associate--l+ add-log-exp
5×div-inv
4×expm1-log1p-u pow-prod-down prod-exp sqrt-prod cbrt-unprod log1p-expm1-u
3×cbrt-undiv fma-def div-exp associate-/r*
2×flip3-- *-commutative flip-- distribute-lft-out-- unswap-sqr
1×+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ associate-/l/ difference-of-squares
Counts
4 → 230
Calls
4 calls:
27.0ms
(+ y (/ (/ 1.0 x) 9.0))
682.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
13.0ms
(/ (/ 1.0 x) 9.0)
621.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

series250.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ y (/ (/ 1.0 x) 9.0))
71.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
27.0ms
(/ (/ 1.0 x) 9.0)
121.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

simplify1.6s

Counts
242 → 242
Iterations

Useful iterations: done (1.6s)

IterNodesCost
03785343
18284570
222533964
done50023670

prune595.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite679.0ms

Algorithm
rewrite-expression-head
Rules
89×*-un-lft-identity
75×distribute-rgt-in distribute-lft-in
72×prod-diff
54×add-sqr-sqrt
48×add-cube-cbrt
19×distribute-lft-out
9×pow1 add-exp-log associate-*l* add-cbrt-cube
7×associate-*r*
6×sub-neg associate-*r/ associate--l+
4×pow-prod-down prod-exp sqrt-prod cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp unswap-sqr
1×difference-of-squares
Counts
2 → 141
Calls
2 calls:
301.0ms
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
365.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

series222.0ms

Counts
2 → 6
Calls
2 calls:
100.0ms
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
122.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

simplify1.3s

Counts
147 → 147
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02183874
14613184
213282660
done50002432

prune222.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes124.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01112
11412
done1412

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.1s8567×body80valid
868.0ms8678×body80nan