Details

Time bar (total: 17.5s)

sample21.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify9.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01619
13119
25119
36619
48319
59119
610219
713619
816419
918719
1023119
1139419
1257419
1370719
1489919
15104819
16115419
17171019
18224619
19298819
20332619
21332919
done332919

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))))) x))
0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b
(* x (+ 0.99229 (* x 0.04481)))
15.1b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
11×times-frac
10×add-exp-log add-cbrt-cube
9×associate-*r*
8×pow1
6×associate-*l* add-log-exp
4×associate-*r/ difference-of-squares
3×distribute-rgt-in sub-neg distribute-lft-in flip3-+ associate-/r* flip-+ associate-/l*
2×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- unswap-sqr
1×cbrt-undiv frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 95
Calls
4 calls:
133.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
64.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
16.0ms
(* x (+ 0.99229 (* x 0.04481)))
27.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series312.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
84.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
67.0ms
(* x (+ 0.99229 (* x 0.04481)))
60.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify919.0ms

Counts
107 → 107
Iterations

Useful iterations: done (910.0ms)

IterNodesCost
02062229
15232153
215661973
done50001953

prune261.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x)
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
15.1b
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

rewrite164.0ms

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
3×associate-*r* associate-*l*
2×rec-exp frac-2neg 1-exp associate-*r/ clear-num associate-/l/ distribute-lft-out--
1×distribute-rgt-in sub-neg flip3-- pow-flip distribute-lft-in diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod inv-pow unswap-sqr
Counts
4 → 156
Calls
4 calls:
91.0ms
(- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x)
15.0ms
(* x (+ 0.99229 (* x 0.04481)))
22.0ms
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
30.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series280.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x)
65.0ms
(* x (+ 0.99229 (* x 0.04481)))
63.0ms
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
60.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify958.0ms

Counts
168 → 168
Iterations

Useful iterations: done (950.0ms)

IterNodesCost
02954317
17044017
219663652
done50003606

prune334.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(/ 1 (+ 2.30753 (* x 0.27061)))
0.1b
(/ 1 (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (/ 1 (+ 2.30753 (* x 0.27061)))))
15.1b
(* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (/ 1 (+ 2.30753 (* x 0.27061))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
33×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
23×times-frac
22×add-cbrt-cube
20×div-exp
18×associate-*r*
17×prod-exp
12×pow1
10×rec-exp 1-exp associate-/r/
7×flip3-+ flip-+
6×cbrt-undiv associate-*l* associate-/l*
5×cbrt-unprod
4×frac-times associate-*r/ associate-*l/ associate-/r* add-log-exp unswap-sqr
3×pow-flip pow-prod-down div-inv
2×frac-2neg clear-num un-div-inv *-commutative inv-pow
1×distribute-rgt-in distribute-lft-in
Counts
4 → 141
Calls
4 calls:
15.0ms
(* x (+ 0.99229 (* x 0.04481)))
10.0ms
(/ 1 (+ 2.30753 (* x 0.27061)))
31.0ms
(/ 1 (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (/ 1 (+ 2.30753 (* x 0.27061)))))
34.0ms
(* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (/ 1 (+ 2.30753 (* x 0.27061))))

series227.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* x (+ 0.99229 (* x 0.04481)))
37.0ms
(/ 1 (+ 2.30753 (* x 0.27061)))
58.0ms
(/ 1 (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (/ 1 (+ 2.30753 (* x 0.27061)))))
61.0ms
(* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (/ 1 (+ 2.30753 (* x 0.27061))))

simplify1.1s

Counts
153 → 153
Iterations

Useful iterations: 2 (365.0ms)

IterNodesCost
02492775
16402440
220852092
done50012092

prune303.0ms

Pruning

3 alts after pruning (1 fresh and 2 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)))
15.1b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite310.0ms

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)))
136.0ms
(* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
129.0ms
(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
24.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series427.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* x (+ 0.99229 (* x 0.04481)))
131.0ms
(* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
162.0ms
(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
60.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify943.0ms

Counts
127 → 127
Iterations

Useful iterations: 2 (342.0ms)

IterNodesCost
02352925
16032658
220182408
done50022408

prune297.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01821
12721
done2721

end0.0ms

sample388.0ms

Algorithm
intervals
Results
266.0ms8000×body80valid