Details

Time bar (total: 29.4s)

sample30.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify15.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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
(+ 2.30753 (* x 0.27061))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
12.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
10×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1
4×flip3-+ flip-+
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×associate-*r/ associate-/r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 79
Calls
4 calls:
77.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
8.0ms
(+ 2.30753 (* x 0.27061))
36.0ms
(* x (+ 0.99229 (* x 0.04481)))
51.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series362.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
58.0ms
(+ 2.30753 (* x 0.27061))
83.0ms
(* x (+ 0.99229 (* x 0.04481)))
89.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify3.8s

Counts
91 → 91
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
01721656
14401580
213801474
349111456
done50001456

prune355.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.4b
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.5b
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
23×*-un-lft-identity
22×add-cube-cbrt
20×times-frac
19×add-exp-log
18×associate-*r*
13×add-cbrt-cube
9×pow1
6×flip3-+ associate-*l* flip-+ add-log-exp
5×prod-exp
4×div-exp associate-/r/ unswap-sqr
3×associate-*r/ associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative distribute-rgt-in pow-flip frac-2neg distribute-lft-in clear-num sum-log un-div-inv inv-pow
Counts
4 → 108
Calls
4 calls:
11.0ms
(+ 2.30753 (* x 0.27061))
31.0ms
(* x (+ 0.99229 (* x 0.04481)))
25.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
42.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series285.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(+ 2.30753 (* x 0.27061))
89.0ms
(* x (+ 0.99229 (* x 0.04481)))
63.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
76.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify1.4s

Counts
120 → 120
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02022022
15301840
217761644
done50001640

prune423.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)
0.2b
(/ 1 (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3))
10.1b
(cbrt (/ 1 (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)))
12.5b
(* (+ 2.30753 (* x 0.27061)) (cbrt (/ 1 (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3))))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
116×times-frac
100×add-sqr-sqrt
93×cbrt-prod
82×*-un-lft-identity
78×add-cube-cbrt
45×associate-*r*
35×unpow-prod-down cube-prod
16×add-exp-log
13×sqr-pow
12×associate-/r*
11×cube-mult unpow3
10×unswap-sqr
8×cube-div add-cbrt-cube
7×pow1
6×flip3-+ div-exp associate-/r/ flip-+
4×pow-to-exp cbrt-div pow-exp add-log-exp
3×rec-exp pow-unpow 1-exp associate-*l* div-inv associate-/l*
2×frac-times associate-*l/
1×cbrt-undiv pow-flip pow-pow frac-2neg pow1/3 associate-*r/ pow-prod-down prod-exp clear-num *-commutative cbrt-unprod inv-pow rem-cube-cbrt
Counts
4 → 225
Calls
4 calls:
8.0ms
(pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)
18.0ms
(/ 1 (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3))
15.0ms
(cbrt (/ 1 (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)))
77.0ms
(* (+ 2.30753 (* x 0.27061)) (cbrt (/ 1 (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3))))

series257.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)
62.0ms
(/ 1 (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3))
57.0ms
(cbrt (/ 1 (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)))
86.0ms
(* (+ 2.30753 (* x 0.27061)) (cbrt (/ 1 (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3))))

simplify1.5s

Counts
237 → 237
Iterations

Useful iterations: done (1.5s)

IterNodesCost
03265955
16815202
220914628
done50004622

prune801.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

12.8b
(/ (- (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* x x)) (+ (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
12.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite297.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
43×times-frac
38×add-sqr-sqrt add-cube-cbrt
13×associate-/r* associate-/l*
12×add-exp-log add-cbrt-cube
8×associate-/r/ associate-/l/
7×flip3-+ flip-+
5×distribute-lft-out difference-of-squares
4×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
1×flip3-- div-sub flip--
Counts
4 → 134
Calls
4 calls:
188.0ms
(/ (- (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* x x)) (+ (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
41.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
35.0ms
(/ (+ 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)))))

series545.0ms

Counts
4 → 12
Calls
4 calls:
305.0ms
(/ (- (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* x x)) (+ (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
74.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
79.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
88.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.7s

Counts
146 → 146
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01745682
14575428
215845066
done50014606

prune720.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02124
13124
done3124

end0.0ms

sample939.0ms

Algorithm
intervals
Results
737.0ms8000×body80valid