Details

Time bar (total: 14.4s)

sample24.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify24.0ms

Counts
1 → 1
Iterations
IterNodes
done51
351
243
128
014

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b
(* x (+ 0.99229 (* x 0.04481)))
12.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
10×times-frac
8×add-cbrt-cube add-exp-log add-log-exp
6×pow1
4×flip3-+ flip-+ insert-posit16
3×associate-/r* associate-*r* associate-*l* associate-/l*
2×associate-*r/ associate-/r/ difference-of-squares associate-/l/
1×distribute-rgt-in cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg distribute-lft-in flip3-- diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv flip-- distribute-lft-out-- unswap-sqr
Counts
4 → 83
Calls
4 calls:
5.0ms
(+ 2.30753 (* x 0.27061))
73.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
22.0ms
(* x (+ 0.99229 (* x 0.04481)))
38.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series394.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(+ 2.30753 (* x 0.27061))
135.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
124.0ms
(* x (+ 0.99229 (* x 0.04481)))
72.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.4s

Counts
95 → 95
Iterations
IterNodes
done5003
21555
1470
0176

prune468.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.2b
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
12.3b
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
60×add-sqr-sqrt
58×*-un-lft-identity add-cube-cbrt
19×add-exp-log
18×associate-/r*
13×add-cbrt-cube
11×associate-/r/
8×flip3-+ div-exp flip-+
7×pow1
6×div-inv associate-/l* add-log-exp
4×cbrt-undiv insert-posit16
3×associate-*r* associate-*l*
2×rec-exp clear-num frac-2neg 1-exp associate-*r/ associate-/l/
1×distribute-rgt-in +-commutative sum-log distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod pow-flip inv-pow unswap-sqr
Counts
4 → 152
Calls
4 calls:
4.0ms
(+ 2.30753 (* x 0.27061))
12.0ms
(* x (+ 0.99229 (* x 0.04481)))
21.0ms
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
52.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series356.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(+ 2.30753 (* x 0.27061))
126.0ms
(* x (+ 0.99229 (* x 0.04481)))
90.0ms
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
97.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify2.1s

Counts
164 → 164
Iterations
IterNodes
done5001
22494
1731
0272

prune836.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
0.2b
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
12.2b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.2b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
30×add-exp-log
24×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×pow1 sqrt-div div-exp
8×prod-exp
6×associate-/r* associate-/r/
5×cbrt-undiv flip3-+ flip-+
4×cbrt-unprod insert-posit16 add-log-exp
3×rec-exp sqrt-pow1 pow1/2 1-exp div-inv pow-flip associate-/l*
2×rem-sqrt-square
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative inv-pow
Counts
4 → 168
Calls
4 calls:
22.0ms
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
59.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series490.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
87.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
137.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
125.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify2.1s

Counts
180 → 180
Iterations
IterNodes
done5000
22393
1773
0262

prune923.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* x x) 0.02505083423776644)))
0.0b
(- (/ 1 (+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* x x) 0.02505083423776644)))) x)
0.1b
(* (* x x) 0.02505083423776644)
0.3b
(/ 1 (+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* x x) 0.02505083423776644))))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
17×*-un-lft-identity
13×add-exp-log add-cube-cbrt
11×times-frac add-cbrt-cube add-log-exp
10×pow1
4×insert-posit16
3×associate-/r* associate-*r* pow-prod-down prod-exp cbrt-unprod associate-/l* difference-of-squares
2×associate-+r+ sum-log sub-neg flip3-+ diff-log div-exp associate-/r/ flip-+ div-inv distribute-lft-out--
1×cbrt-undiv +-commutative rec-exp clear-num associate-+r- frac-2neg flip3-- 1-exp associate-*l* *-commutative pow-flip flip-- inv-pow unswap-sqr
Counts
4 → 88
Calls
4 calls:
12.0ms
(+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* x x) 0.02505083423776644)))
114.0ms
(- (/ 1 (+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* x x) 0.02505083423776644)))) x)
16.0ms
(* (* x x) 0.02505083423776644)
29.0ms
(/ 1 (+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* x x) 0.02505083423776644))))

series215.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* x x) 0.02505083423776644)))
70.0ms
(- (/ 1 (+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* x x) 0.02505083423776644)))) x)
42.0ms
(* (* x x) 0.02505083423776644)
69.0ms
(/ 1 (+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* x x) 0.02505083423776644))))

simplify2.7s

Counts
100 → 100
Iterations
IterNodes
done5004
34139
21142
1382
0166

prune395.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done24
124
016

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.1s8000×body80valid