Details

Time bar (total: 6.1s)

sample55.0ms

Algorithm
intervals
Results
15.0ms271×body80valid
14.0ms316×body80nan

simplify10.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log *-un-lft-identity add-cbrt-cube
11×add-cube-cbrt
9×add-log-exp
6×pow1 times-frac associate-*r* associate-/l*
4×cbrt-undiv div-exp sqrt-prod
3×diff-log associate-*l* prod-exp cbrt-unprod distribute-lft-out--
2×sub-neg flip3-- frac-2neg associate--l+ clear-num associate-/r* frac-sub flip-- div-inv unswap-sqr
1×associate--l- pow-prod-down *-commutative difference-of-squares
Counts
4 → 85
Calls
4 calls:
122.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
12.0ms
(/ y (* 3.0 (sqrt x)))
12.0ms
(* 3.0 (sqrt x))
10.0ms
(/ 1.0 (* x 9.0))

series266.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
103.0ms
(/ y (* 3.0 (sqrt x)))
51.0ms
(* 3.0 (sqrt x))
19.0ms
(/ 1.0 (* x 9.0))

simplify72.0ms

Counts
97 → 97

prune412.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite426.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
57×add-sqr-sqrt
56×*-un-lft-identity
51×add-cube-cbrt
16×add-exp-log add-cbrt-cube associate-/l*
9×add-log-exp
6×pow1 associate-*r* div-inv
5×cbrt-undiv div-exp
4×associate-/r* sqrt-prod
3×diff-log associate-*l* distribute-lft-out--
2×sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- pow-prod-down *-commutative associate-/l/ difference-of-squares
Counts
4 → 134
Calls
4 calls:
376.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
15.0ms
(/ y (* 3.0 (sqrt x)))
13.0ms
(/ (/ 1.0 x) 9.0)
12.0ms
(* 3.0 (sqrt x))

series227.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
61.0ms
(/ y (* 3.0 (sqrt x)))
33.0ms
(/ (/ 1.0 x) 9.0)
67.0ms
(* 3.0 (sqrt x))

simplify58.0ms

Counts
146 → 146

prune560.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.4b
(/ (/ y 3.0) (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
98×add-sqr-sqrt
87×*-un-lft-identity
82×add-cube-cbrt
44×sqrt-prod
16×associate-/l*
13×add-exp-log add-cbrt-cube
9×div-inv
8×add-log-exp
7×associate-/r*
5×cbrt-undiv div-exp difference-of-squares
3×pow1 diff-log distribute-lft-out--
2×sub-neg flip3-- frac-2neg associate--l+ clear-num frac-sub flip--
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
3 → 158
Calls
3 calls:
208.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
24.0ms
(/ (/ y 3.0) (sqrt x))
11.0ms
(/ 1.0 (* x 9.0))

series143.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
73.0ms
(/ (/ y 3.0) (sqrt x))
20.0ms
(/ 1.0 (* x 9.0))

simplify51.0ms

Counts
167 → 167

prune587.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×*-un-lft-identity
10×add-exp-log add-cbrt-cube
8×add-cube-cbrt add-log-exp
6×associate-*r*
5×pow1
4×sqrt-prod
3×times-frac diff-log associate-*l* associate-/l* distribute-lft-out--
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp associate--l+ frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv difference-of-squares
Counts
3 → 64
Calls
3 calls:
137.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
16.0ms
(/ y (* 3.0 (sqrt x)))
17.0ms
(* 3.0 (sqrt x))

series208.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
94.0ms
(/ y (* 3.0 (sqrt x)))
47.0ms
(* 3.0 (sqrt x))

simplify32.0ms

Counts
73 → 73

prune201.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify10.0ms

end0.0ms

sample2.1s

Algorithm
intervals
Results
872.0ms8468×body80nan
624.0ms8562×body80valid