Details

Time bar (total: 6.8s)

sample79.0ms

Algorithm
intervals
Results
23.0ms315×body80nan
20.0ms269×body80valid

simplify176.0ms

Counts
1 → 1

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

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
(* 3.0 (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

rewrite300.0ms

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:
22.0ms
(+ y (/ 1.0 (* x 9.0)))
239.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
19.0ms
(* 3.0 (sqrt x))
15.0ms
(/ 1.0 (* x 9.0))

series172.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ y (/ 1.0 (* x 9.0)))
71.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
40.0ms
(* 3.0 (sqrt x))
31.0ms
(/ 1.0 (* x 9.0))

simplify48.0ms

Counts
96 → 96

prune293.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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)))
0.4b
(/ 1.0 (* x 9.0))

rewrite413.0ms

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:
11.0ms
(+ y (/ 1.0 (* x 9.0)))
178.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
208.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
12.0ms
(/ 1.0 (* x 9.0))

series181.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ y (/ 1.0 (* x 9.0)))
64.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
66.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
21.0ms
(/ 1.0 (* x 9.0))

simplify43.0ms

Counts
110 → 110

prune323.0ms

Pruning

12 alts after pruning (12 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
(* (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)

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
75×times-frac
57×*-un-lft-identity
56×add-sqr-sqrt
50×add-cube-cbrt
16×add-exp-log add-cbrt-cube
15×distribute-rgt-in distribute-lft-in
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×pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×cbrt-undiv div-exp associate-/r*
2×flip3-- *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ associate-/l/ difference-of-squares
Counts
4 → 147
Calls
4 calls:
38.0ms
(+ y (/ (/ 1.0 x) 9.0))
526.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
456.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))
20.0ms
(/ (/ 1.0 x) 9.0)

series261.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ y (/ (/ 1.0 x) 9.0))
90.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
98.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))
27.0ms
(/ (/ 1.0 x) 9.0)

simplify56.0ms

Counts
159 → 159

prune377.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* (/ 1.0 x) (/ 1 9.0)))
0.3b
(* (sqrt x) (- (+ y (* (/ 1.0 x) (/ 1 9.0))) 1.0))
0.3b
(* 3.0 (* (sqrt x) (- (+ y (* (/ 1.0 x) (/ 1 9.0))) 1.0)))
0.4b
(* (/ 1.0 x) (/ 1 9.0))

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
33×add-exp-log
26×*-un-lft-identity
25×times-frac
23×add-cbrt-cube
22×add-cube-cbrt associate-*l*
19×associate-*r*
15×distribute-rgt-in distribute-lft-in
13×pow1
12×prod-exp
8×div-exp cbrt-unprod unswap-sqr
7×associate-*r/
6×sub-neg associate--l+ add-log-exp
5×pow-prod-down
4×cbrt-undiv sqrt-prod
3×*-commutative
2×rec-exp flip3-- 1-exp flip-- div-inv
1×+-commutative frac-times flip3-+ associate-*l/ sum-log un-div-inv flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 132
Calls
4 calls:
6.0ms
(+ y (* (/ 1.0 x) (/ 1 9.0)))
93.0ms
(* (sqrt x) (- (+ y (* (/ 1.0 x) (/ 1 9.0))) 1.0))
106.0ms
(* 3.0 (* (sqrt x) (- (+ y (* (/ 1.0 x) (/ 1 9.0))) 1.0)))
27.0ms
(* (/ 1.0 x) (/ 1 9.0))

series258.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ y (* (/ 1.0 x) (/ 1 9.0)))
92.0ms
(* (sqrt x) (- (+ y (* (/ 1.0 x) (/ 1 9.0))) 1.0))
94.0ms
(* 3.0 (* (sqrt x) (- (+ y (* (/ 1.0 x) (/ 1 9.0))) 1.0)))
29.0ms
(* (/ 1.0 x) (/ 1 9.0))

simplify73.0ms

Counts
144 → 144

prune357.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

regimes171.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify127.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
583.0ms8565×body80valid
581.0ms8469×body80nan