Details

Time bar (total: 20.3s)

sample30.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify14.7s

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

localize18.0ms

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))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
17.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite333.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
18×*-un-lft-identity
16×add-cube-cbrt
10×add-exp-log times-frac add-cbrt-cube
associate-*r*
pow1
associate-*l* add-log-exp
flip3-+ associate-*r/ flip-+
distribute-rgt-in distribute-lft-in associate-/r* associate-/l*
sub-neg pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod associate-/l/ difference-of-squares unswap-sqr
cbrt-undiv +-commutative flip3-- frac-2neg div-exp clear-num sum-log flip-- div-inv distribute-lft-out--
Counts
4 → 91
Calls
4 calls:
258.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
6.0ms
(+ 2.30753 (* x 0.27061))
17.0ms
(* x (+ 0.99229 (* x 0.04481)))
48.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series388.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
48.0ms
(+ 2.30753 (* x 0.27061))
86.0ms
(* x (+ 0.99229 (* x 0.04481)))
91.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.4s

Counts
103 → 103
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02021888
15151810
215811662
done50001658

prune384.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711)
17.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
19×times-frac
18×associate-*l*
13×add-exp-log add-cbrt-cube
pow1
associate-*r* add-log-exp
flip3-+ flip-+
associate-/r/
prod-exp associate-/r* cbrt-unprod associate-/l* unswap-sqr
cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv associate-/l/
+-commutative distribute-rgt-in frac-2neg distribute-lft-in associate-*l/ clear-num sum-log
Counts
4 → 98
Calls
4 calls:
7.0ms
(+ 2.30753 (* x 0.27061))
18.0ms
(* x (+ 0.99229 (* x 0.04481)))
43.0ms
(* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711)
30.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series295.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(+ 2.30753 (* x 0.27061))
88.0ms
(* x (+ 0.99229 (* x 0.04481)))
94.0ms
(* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711)
65.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.2s

Counts
110 → 110
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02022000
15321944
217421734
done50001730

prune445.0ms

Pruning

2 alts after pruning (0 fresh and 2 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

simplify11.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01822
12922
23322
33422
done3422

end0.0ms

sample874.0ms

Algorithm
intervals
Results
683.0ms8000×body80valid