Details

Time bar (total: 14.7s)

sample21.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5141
143335
131795
121168
11845
10504
9247
8169
7139
6109
586
477
358
233
122
014

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

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-*l/ associate-/r/ difference-of-squares associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-- diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv flip-- distribute-lft-out-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
5.0ms
(+ 2.30753 (* x 0.27061))
16.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
13.0ms
(* (+ 0.99229 (* x 0.04481)) x)
23.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series342.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ 2.30753 (* x 0.27061))
123.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
94.0ms
(* (+ 0.99229 (* x 0.04481)) x)
81.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify1.3s

Counts
93 → 93
Iterations
IterNodes
done5001
21491
1435
0173

prune412.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
96×times-frac
74×add-sqr-sqrt
63×*-un-lft-identity
58×add-cube-cbrt
19×add-exp-log
18×associate-/r*
13×add-cbrt-cube
11×associate-/r/
8×div-exp
7×pow1 flip3-+ flip-+ div-inv
6×associate-/l* add-log-exp
5×difference-of-squares
4×cbrt-undiv insert-posit16
3×associate-*r* associate-*l*
2×rec-exp clear-num frac-2neg 1-exp associate-*l/ distribute-lft-out-- associate-/l/
1×sub-neg flip3-- diff-log pow-prod-down prod-exp *-commutative cbrt-unprod pow-flip flip-- inv-pow unswap-sqr
Counts
4 → 158
Calls
4 calls:
19.0ms
(- x (/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))))
28.0ms
(* (+ 0.99229 (* x 0.04481)) x)
26.0ms
(/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
51.0ms
(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))

series427.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(- x (/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))))
118.0ms
(* (+ 0.99229 (* x 0.04481)) x)
91.0ms
(/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
91.0ms
(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))

simplify2.1s

Counts
170 → 170
Iterations
IterNodes
done5010
22390
1762
0296

prune754.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

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:
14.0ms
(/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
75.0ms
(* (/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
7.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
7.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series483.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
94.0ms
(* (/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
117.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
130.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify2.2s

Counts
180 → 180
Iterations
IterNodes
done5000
22315
1767
0262

prune1.1s

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

rewrite190.0ms

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* flip3-- diff-log associate-*l* pow-prod-down prod-exp cbrt-unprod flip-- associate-/l* difference-of-squares
2×sub-neg div-exp associate-/r/ div-inv distribute-lft-out--
1×cbrt-undiv rec-exp clear-num sum-log frac-2neg 1-exp associate-*r* associate--l+ *-commutative pow-flip inv-pow unswap-sqr
Counts
4 → 87
Calls
4 calls:
47.0ms
(- (+ 0.4333638132548656 (* x 0.37920088514346545)) (* 0.02505083423776644 (* x x)))
76.0ms
(- x (/ 1 (- (+ 0.4333638132548656 (* x 0.37920088514346545)) (* 0.02505083423776644 (* x x)))))
24.0ms
(* 0.02505083423776644 (* x x))
40.0ms
(/ 1 (- (+ 0.4333638132548656 (* x 0.37920088514346545)) (* 0.02505083423776644 (* x x))))

series241.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- (+ 0.4333638132548656 (* x 0.37920088514346545)) (* 0.02505083423776644 (* x x)))
65.0ms
(- x (/ 1 (- (+ 0.4333638132548656 (* x 0.37920088514346545)) (* 0.02505083423776644 (* x x)))))
51.0ms
(* 0.02505083423776644 (* x x))
88.0ms
(/ 1 (- (+ 0.4333638132548656 (* x 0.37920088514346545)) (* 0.02505083423776644 (* x x))))

simplify1.4s

Counts
99 → 99
Iterations
IterNodes
done5001
21221
1385
0165

prune620.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done24
124
016

end0.0ms

sample706.0ms

Algorithm
intervals
Results
599.0ms8000×body80valid