Details

Time bar (total: 12.4s)

sample76.0ms

Algorithm
intervals
Results
21.0ms273×body80nan
21.0ms270×body80valid

simplify1.7s

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

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

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-exp-log add-sqr-sqrt add-cbrt-cube
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
3×distribute-rgt-in distribute-lft-in times-frac associate-/l*
2×cbrt-undiv sub-neg associate-*r/ div-exp associate--l+ *-commutative distribute-lft-out 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 → 84
Calls
4 calls:
11.0ms
(+ y (/ 1.0 (* x 9.0)))
197.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
21.0ms
(* 3.0 (sqrt x))
10.0ms
(/ 1.0 (* x 9.0))

series198.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ y (/ 1.0 (* x 9.0)))
82.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
53.0ms
(* 3.0 (sqrt x))
20.0ms
(/ 1.0 (* x 9.0))

simplify881.0ms

Counts
96 → 96

prune286.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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

rewrite411.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-exp-log add-sqr-sqrt add-cbrt-cube
15×distribute-rgt-in distribute-lft-in
11×pow1
10×add-cube-cbrt
9×associate-*l*
7×associate-*r*
6×sub-neg associate-*r/ associate--l+ add-log-exp
5×prod-exp cbrt-unprod
4×pow-prod-down sqrt-prod
3×times-frac associate-/l*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative frac-2neg flip3-+ clear-num associate-/r* sum-log flip-+ div-inv difference-of-squares
Counts
4 → 98
Calls
4 calls:
17.0ms
(+ y (/ 1.0 (* x 9.0)))
8.0ms
(/ 1.0 (* x 9.0))
192.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
191.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series248.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ y (/ 1.0 (* x 9.0)))
36.0ms
(/ 1.0 (* x 9.0))
69.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
100.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify858.0ms

Counts
110 → 110

prune352.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* (/ 2001599834386887.0 18014398509481984.0) (/ 1 x)))
0.2b
(* (/ 2001599834386887.0 18014398509481984.0) (/ 1 x))
0.2b
(* 3.0 (sqrt x))
0.2b
(* (* 3.0 (sqrt x)) (- (+ y (* (/ 2001599834386887.0 18014398509481984.0) (/ 1 x))) 1.0))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
33×add-exp-log
26×*-un-lft-identity
25×times-frac
24×associate-*r*
23×add-cbrt-cube
22×add-cube-cbrt
17×associate-*l*
13×pow1
12×prod-exp
8×div-exp cbrt-unprod unswap-sqr
6×add-log-exp
5×pow-prod-down
4×cbrt-undiv sqrt-prod
3×distribute-rgt-in distribute-lft-in associate-*r/ *-commutative
2×sub-neg rec-exp 1-exp associate--l+ div-inv
1×+-commutative frac-times flip3-- flip3-+ associate-*l/ sum-log un-div-inv flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 118
Calls
4 calls:
6.0ms
(+ y (* (/ 2001599834386887.0 18014398509481984.0) (/ 1 x)))
24.0ms
(* (/ 2001599834386887.0 18014398509481984.0) (/ 1 x))
9.0ms
(* 3.0 (sqrt x))
88.0ms
(* (* 3.0 (sqrt x)) (- (+ y (* (/ 2001599834386887.0 18014398509481984.0) (/ 1 x))) 1.0))

series165.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ y (* (/ 2001599834386887.0 18014398509481984.0) (/ 1 x)))
22.0ms
(* (/ 2001599834386887.0 18014398509481984.0) (/ 1 x))
41.0ms
(* 3.0 (sqrt x))
70.0ms
(* (* 3.0 (sqrt x)) (- (+ y (* (/ 2001599834386887.0 18014398509481984.0) (/ 1 x))) 1.0))

simplify1.1s

Counts
130 → 130

prune494.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (/ 2001599834386887.0 18014398509481984.0) x) (- y 1.0))
0.2b
(* 3.0 (+ (/ (/ 2001599834386887.0 18014398509481984.0) x) (- y 1.0)))
0.4b
(* (* 3.0 (+ (/ (/ 2001599834386887.0 18014398509481984.0) x) (- y 1.0))) (sqrt x))

rewrite477.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
11×associate-*r*
10×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
8×associate-*r/ add-log-exp
7×add-cube-cbrt
6×frac-add
4×associate-*l* pow-prod-down associate-*l/ prod-exp cbrt-unprod distribute-lft-out
3×flip3-- flip3-+ sqrt-prod flip-- flip-+
2×associate-+r+ sum-log *-commutative distribute-lft-out--
1×+-commutative distribute-rgt-in associate-+r- sub-neg distribute-lft-in diff-log unswap-sqr
Counts
3 → 70
Calls
3 calls:
50.0ms
(+ (/ (/ 2001599834386887.0 18014398509481984.0) x) (- y 1.0))
197.0ms
(* 3.0 (+ (/ (/ 2001599834386887.0 18014398509481984.0) x) (- y 1.0)))
227.0ms
(* (* 3.0 (+ (/ (/ 2001599834386887.0 18014398509481984.0) x) (- y 1.0))) (sqrt x))

series134.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (/ (/ 2001599834386887.0 18014398509481984.0) x) (- y 1.0))
31.0ms
(* 3.0 (+ (/ (/ 2001599834386887.0 18014398509481984.0) x) (- y 1.0)))
76.0ms
(* (* 3.0 (+ (/ (/ 2001599834386887.0 18014398509481984.0) x) (- y 1.0))) (sqrt x))

simplify865.0ms

Counts
79 → 79

prune252.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.5s

end0.0ms

sample1.9s

Algorithm
intervals
Results
891.0ms8541×body80valid
469.0ms8527×body80nan