Details

Time bar (total: 13.8s)

sample23.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
done5000
133931
12769
11488
10320
9258
8210
7155
6117
5106
498
374
252
131
016

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.0b
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
12.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
18×*-un-lft-identity
16×add-cube-cbrt
10×times-frac add-cbrt-cube add-exp-log
9×associate-*r*
8×pow1
6×associate-*l* add-log-exp
4×flip3-+ associate-*r/ flip-+
3×distribute-rgt-in associate-/r* distribute-lft-in associate-/l*
2×sub-neg pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod difference-of-squares unswap-sqr associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-- div-exp div-inv flip-- distribute-lft-out--
Counts
4 → 91
Calls
4 calls:
8.0ms
(+ 2.30753 (* x 0.27061))
170.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
19.0ms
(* x (+ 0.99229 (* x 0.04481)))
39.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series364.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(+ 2.30753 (* x 0.27061))
114.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
101.0ms
(* x (+ 0.99229 (* x 0.04481)))
101.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.2s

Counts
103 → 103
Iterations
IterNodes
done5002
22407
1557
0202

prune503.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

12.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
16.0b
(/ (* (- (pow (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) 3) (pow x 3)) 0.70711) (+ (* (/ (+ 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))))

rewrite531.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
15×add-cbrt-cube add-exp-log
14×associate-/r/
12×associate-/r*
10×flip3-+ flip-+ associate-/l*
8×associate-/l/
6×frac-add
5×cbrt-undiv div-exp
4×pow1 clear-num frac-2neg associate-*l/ div-inv add-log-exp
2×frac-times associate-*r/
1×flip3-- prod-exp cbrt-unprod flip--
Counts
4 → 124
Calls
4 calls:
19.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
27.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
20.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
462.0ms
(/ (* (- (pow (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) 3) (pow x 3)) 0.70711) (+ (* (/ (+ 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))))

series739.0ms

Counts
4 → 12
Calls
4 calls:
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)))))
498.0ms
(/ (* (- (pow (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) 3) (pow x 3)) 0.70711) (+ (* (/ (+ 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))))

simplify2.0s

Counts
136 → 136
Iterations
IterNodes
done5001
24358
1685
0218

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* 0.04481 x) 0.99229) x)
0.1b
(pow (* (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x) 0.70711) 3)
12.3b
(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)))
15.6b
(cbrt (pow (* (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x) 0.70711) 3))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt
11×add-cbrt-cube add-exp-log
9×pow1 times-frac
8×cbrt-prod
6×associate-*l/
4×cube-div add-log-exp
3×pow-unpow associate-/r* flip3-+ associate-*r* associate-*l* flip-+ associate-/l*
2×cube-mult cbrt-div unpow-prod-down pow-pow flip3-- unpow3 cube-prod pow-prod-down pow-exp prod-exp associate-/r/ cbrt-unprod flip-- rem-cube-cbrt sqr-pow associate-/l/
1×pow-to-exp cbrt-undiv clear-num frac-2neg pow1/3 div-exp *-commutative rem-cbrt-cube div-inv unswap-sqr
Counts
4 → 94
Calls
4 calls:
42.0ms
(* (+ (* 0.04481 x) 0.99229) x)
88.0ms
(pow (* (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x) 0.70711) 3)
26.0ms
(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)))
27.0ms
(cbrt (pow (* (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x) 0.70711) 3))

series522.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* (+ (* 0.04481 x) 0.99229) x)
184.0ms
(pow (* (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x) 0.70711) 3)
76.0ms
(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)))
169.0ms
(cbrt (pow (* (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x) 0.70711) 3))

simplify1.2s

Counts
106 → 106
Iterations
IterNodes
done5000
22810
1602
0220

prune602.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes161.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done23
123
016

end0.0ms

sample953.0ms

Algorithm
intervals
Results
762.0ms8000×body80valid