Details

Time bar (total: 7.3s)

sample42.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify168.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
0.0b
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
15.5b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite330.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
18×*-un-lft-identity
16×add-cube-cbrt
10×add-exp-log times-frac add-cbrt-cube
9×associate-*r*
8×pow1
6×associate-*l* add-log-exp
4×flip3-+ associate-*r/ flip-+
3×distribute-rgt-in distribute-lft-in associate-/r* associate-/l*
2×sub-neg pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod associate-/l/ difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp clear-num sum-log flip-- div-inv distribute-lft-out--
Counts
4 → 91
Calls
4 calls:
7.0ms
(+ 0.99229 (* x 0.04481))
233.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
32.0ms
(* x (+ 0.99229 (* x 0.04481)))
56.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series429.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(+ 0.99229 (* x 0.04481))
164.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
125.0ms
(* x (+ 0.99229 (* x 0.04481)))
93.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify48.0ms

Counts
103 → 103

prune397.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
15.5b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
19×times-frac
18×associate-*r*
13×add-exp-log add-cbrt-cube
8×pow1
6×associate-*l* add-log-exp
5×flip3-+ flip-+
4×associate-/r/
3×associate-*r/ prod-exp associate-/r* cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative distribute-rgt-neg-out div-inv associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in unsub-neg clear-num sum-log distribute-lft-out
Counts
4 → 101
Calls
4 calls:
17.0ms
(+ (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
22.0ms
(* x (+ 0.99229 (* x 0.04481)))
35.0ms
(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
25.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series379.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(+ (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
93.0ms
(* x (+ 0.99229 (* x 0.04481)))
74.0ms
(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
80.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify64.0ms

Counts
113 → 113

prune455.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b
(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
15.5b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite348.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
21×*-un-lft-identity
19×add-cube-cbrt
15×add-exp-log associate-*l* add-cbrt-cube
13×pow1
11×distribute-rgt-in distribute-lft-in
10×times-frac associate-*r*
8×associate-*r/
7×sqrt-prod
6×sub-neg
5×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×flip3-+ associate-/r* *-commutative flip-+ associate-/l* unswap-sqr
2×flip3-- associate-/r/ flip-- associate-/l/ difference-of-squares
1×cbrt-undiv frac-2neg div-exp clear-num div-inv distribute-lft-out--
Counts
4 → 115
Calls
4 calls:
17.0ms
(* x (+ 0.99229 (* x 0.04481)))
157.0ms
(* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
138.0ms
(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
32.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series459.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(* x (+ 0.99229 (* x 0.04481)))
133.0ms
(* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
174.0ms
(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
63.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify69.0ms

Counts
127 → 127

prune488.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sqrt (+ 2.30753 (* x 0.27061))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
0.3b
(* (* 0.70711 (+ (/ (sqrt (+ 2.30753 (* x 0.27061))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt x))) (- (/ (sqrt (+ 2.30753 (* x 0.27061))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt x)))
15.5b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.5b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite543.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt
61×sqrt-prod
44×times-frac
37×*-un-lft-identity
35×add-cube-cbrt
14×associate-*r*
11×pow1 add-exp-log add-cbrt-cube
10×difference-of-squares
8×sqrt-div associate-*r/
7×flip3-+ flip-+
6×associate-/r* associate-/l*
4×frac-times add-log-exp
3×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
2×distribute-rgt-in sub-neg rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 associate-*l/ associate-/r/ associate-/l/
1×cbrt-undiv sqrt-undiv frac-2neg div-exp associate-*l* clear-num *-commutative div-inv distribute-lft-out--
Counts
4 → 136
Calls
4 calls:
31.0ms
(/ (sqrt (+ 2.30753 (* x 0.27061))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
495.0ms
(* (* 0.70711 (+ (/ (sqrt (+ 2.30753 (* x 0.27061))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt x))) (- (/ (sqrt (+ 2.30753 (* x 0.27061))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt x)))
5.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
6.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series800.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(/ (sqrt (+ 2.30753 (* x 0.27061))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
459.0ms
(* (* 0.70711 (+ (/ (sqrt (+ 2.30753 (* x 0.27061))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt x))) (- (/ (sqrt (+ 2.30753 (* x 0.27061))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt x)))
114.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
106.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify104.0ms

Counts
148 → 148

prune696.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes41.0ms

Accuracy

-9.9% (0.0b remaining)

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

bsearch0.0ms

simplify117.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
873.0ms8000×body80valid