Details

Time bar (total: 13.0s)

sample45.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify2.6s

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

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)))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite233.0ms

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:
175.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
9.0ms
(+ 2.30753 (* x 0.27061))
25.0ms
(* x (+ 0.99229 (* x 0.04481)))
20.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series377.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
57.0ms
(+ 2.30753 (* x 0.27061))
95.0ms
(* x (+ 0.99229 (* x 0.04481)))
98.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.1s

Counts
103 → 103
Iterations
IterNodes
done5001
22409
1557
0202

prune536.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ (* 0.04481 x) 0.99229))
0.2b
(pow (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3)
14.8b
(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
19.4b
(cbrt (pow (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
45×times-frac
44×*-un-lft-identity add-cube-cbrt
36×cbrt-prod
30×unpow-prod-down cube-prod
11×add-cbrt-cube add-exp-log
10×associate-/r/
7×pow1 flip3-+ flip-+
5×div-inv
4×add-log-exp
3×pow-unpow associate-/r* associate-*r* associate-*l* associate-/l*
2×cube-div cube-mult cbrt-undiv unpow3 div-exp pow-exp associate-*r/ rem-cube-cbrt sqr-pow associate-/l/
1×distribute-rgt-in pow-to-exp cbrt-div clear-num pow-pow frac-2neg distribute-lft-in pow1/3 pow-prod-down prod-exp *-commutative rem-cbrt-cube cbrt-unprod unswap-sqr
Counts
4 → 149
Calls
4 calls:
21.0ms
(* x (+ (* 0.04481 x) 0.99229))
16.0ms
(pow (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3)
26.0ms
(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
14.0ms
(cbrt (pow (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3))

series419.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* x (+ (* 0.04481 x) 0.99229))
133.0ms
(pow (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3)
110.0ms
(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
75.0ms
(cbrt (pow (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3))

simplify2.2s

Counts
161 → 161
Iterations
IterNodes
done5001
24745
1832
0244

prune890.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ (* 0.04481 x) 0.99229))
0.6b
(* (sqrt (* (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) x) 0.70711)) (sqrt (* (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) x) 0.70711)))
14.8b
(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
14.8b
(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))

rewrite636.0ms

Algorithm
rewrite-expression-head
Rules
55×pow1
30×add-sqr-sqrt
28×sqrt-pow1
26×*-un-lft-identity add-cube-cbrt
21×pow-prod-down
18×times-frac
14×associate-*l/
12×add-cbrt-cube sqrt-div add-exp-log
10×pow1/2 pow-prod-up
7×associate-*r* associate-*l*
6×associate-/r* flip3-- pow-sqr flip-- associate-/l*
5×flip3-+ flip-+
4×frac-times swap-sqr associate-*r/ associate-/r/ sqrt-prod add-log-exp associate-/l/
2×cbrt-undiv clear-num frac-2neg div-exp prod-exp *-commutative cbrt-unprod div-inv unswap-sqr
1×pow2 distribute-rgt-in rem-square-sqrt distribute-lft-in pow-plus sqrt-unprod
Counts
4 → 141
Calls
4 calls:
33.0ms
(* x (+ (* 0.04481 x) 0.99229))
525.0ms
(* (sqrt (* (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) x) 0.70711)) (sqrt (* (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) x) 0.70711)))
45.0ms
(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
25.0ms
(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))

series545.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* x (+ (* 0.04481 x) 0.99229))
231.0ms
(* (sqrt (* (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) x) 0.70711)) (sqrt (* (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) x) 0.70711)))
92.0ms
(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
110.0ms
(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))

simplify1.2s

Counts
153 → 153
Iterations
IterNodes
done5001
22652
1579
0219

prune922.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes42.0ms

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
done26
126
019

end0.0ms

sample860.0ms

Algorithm
intervals
Results
669.0ms8000×body80valid