Details

Time bar (total: 4.1m)

sample49.0ms

Algorithm
intervals
Results
33.0ms256×body80valid

simplify3.7s

Counts
1 → 1
Iterations
IterNodes
done5001
143988
131809
12737
11453
10309
9254
8207
7156
6118
5105
494
371
252
131
016

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.0b
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.0b
(* x (+ 0.99229 (* x 0.04481)))
16.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite5.8s

Algorithm
rewrite-expression-head
Rules
76×*-un-lft-identity
34×add-sqr-sqrt
27×times-frac
26×distribute-lft-out
20×add-cube-cbrt
19×associate-*l*
11×associate-*r*
10×add-cbrt-cube add-exp-log
8×pow1
6×add-log-exp
5×associate-/r* associate-/l*
4×distribute-rgt-in distribute-lft-in associate-*r/ insert-posit16 difference-of-squares
3×sub-neg flip3-+ flip-+
2×+-commutative flip3-- pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-- distribute-lft-out-- unswap-sqr associate-/l/
1×cbrt-undiv clear-num frac-2neg diff-log div-exp div-inv
Counts
4 → 123
Calls
4 calls:
1.9s
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
3.6s
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
92.0ms
(* x (+ 0.99229 (* x 0.04481)))
327.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series444.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
126.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
106.0ms
(* x (+ 0.99229 (* x 0.04481)))
87.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.8s

Counts
135 → 135
Iterations
IterNodes
done5009
21802
1565
0210

prune512.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 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))
0.2b
(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
16.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite16.3s

Algorithm
rewrite-expression-head
Rules
83×*-un-lft-identity
63×add-sqr-sqrt
36×associate-*r*
34×associate-*l*
27×times-frac add-cube-cbrt
26×distribute-lft-out
16×sqrt-prod
15×add-cbrt-cube add-exp-log unswap-sqr
13×pow1
12×distribute-rgt-in distribute-lft-in
8×associate-*r/
6×sub-neg
5×associate-/r* pow-prod-down prod-exp cbrt-unprod associate-/l*
4×*-commutative insert-posit16 add-log-exp difference-of-squares
3×flip3-+ flip-+
2×+-commutative flip3-- associate-/r/ flip-- distribute-lft-out-- associate-/l/
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 167
Calls
4 calls:
65.0ms
(* x (+ 0.99229 (* x 0.04481)))
4.0s
(* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
12.0s
(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
324.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series561.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(* x (+ 0.99229 (* x 0.04481)))
168.0ms
(* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
196.0ms
(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
89.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify2.5s

Counts
179 → 179
Iterations
IterNodes
done5003
22475
1718
0257

prune766.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b
(* (sqrt (sqrt 0.70711)) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
0.2b
(* (sqrt (sqrt 0.70711)) (* (sqrt (sqrt 0.70711)) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))
16.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite54.1s

Algorithm
rewrite-expression-head
Rules
217×add-sqr-sqrt
129×sqrt-prod
111×unswap-sqr
98×associate-*r*
91×*-un-lft-identity
57×associate-*l*
37×add-cube-cbrt
34×distribute-rgt-in distribute-lft-in
28×times-frac
24×distribute-lft-out
22×add-cbrt-cube add-exp-log
20×pow1
14×sub-neg
12×associate-*r/
10×pow-prod-down prod-exp cbrt-unprod
6×*-commutative difference-of-squares
5×associate-/r* associate-/l*
4×insert-posit16 add-log-exp
3×flip3-- flip-- distribute-lft-out--
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 263
Calls
4 calls:
3.5s
(* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
11.8s
(* (sqrt (sqrt 0.70711)) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
38.4s
(* (sqrt (sqrt 0.70711)) (* (sqrt (sqrt 0.70711)) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))
320.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series781.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
292.0ms
(* (sqrt (sqrt 0.70711)) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
268.0ms
(* (sqrt (sqrt 0.70711)) (* (sqrt (sqrt 0.70711)) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))
67.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify2.7s

Counts
275 → 275
Iterations
IterNodes
done5002
23400
1890
0311

prune979.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize81.0ms

Local error

Found 4 expressions with local error:

16.3b
(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)))
16.3b
(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)))
16.3b
(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)))
20.3b
(cbrt (* (* (* 0.70711 (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x)) (* 0.70711 (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x))) (* 0.70711 (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x))))

rewrite2.5m

Algorithm
rewrite-expression-head
Rules
359×*-un-lft-identity
186×associate-*l*
175×add-sqr-sqrt
156×distribute-lft-out
110×times-frac
96×cbrt-prod
64×associate-*r*
63×add-cube-cbrt
62×associate-*r/
60×unswap-sqr
28×frac-times
27×flip3-- flip--
26×cbrt-div
23×swap-sqr
21×associate-/r*
15×associate-/l*
14×associate-*l/
10×add-cbrt-cube add-exp-log *-commutative difference-of-squares
7×distribute-lft-out--
6×flip3-+ associate-/r/ flip-+ associate-/l/
4×pow1 insert-posit16 add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp div-inv
2×pow3 rem-cbrt-cube
1×pow1/3
Counts
4 → 325
Calls
4 calls:
507.0ms
(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)))
613.0ms
(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)))
464.0ms
(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)))
2.5m
(cbrt (* (* (* 0.70711 (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x)) (* 0.70711 (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x))) (* 0.70711 (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x))))

series454.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)))
80.0ms
(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)))
87.0ms
(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)))
200.0ms
(cbrt (* (* (* 0.70711 (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x)) (* 0.70711 (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x))) (* 0.70711 (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x))))

simplify2.6s

Counts
337 → 337
Iterations
IterNodes
done5002
11292
0452

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes82.0ms

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
done23
123
016

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.2s8000×body80valid