Details

Time bar (total: 13.7s)

sample22.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify1.9s

Counts
1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
19.2b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite346.0ms

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:
91.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
185.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
29.0ms
(* x (+ 0.99229 (* x 0.04481)))
37.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series436.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
164.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
90.0ms
(* x (+ 0.99229 (* x 0.04481)))
74.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.1s

Counts
107 → 107

prune412.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize33.0ms

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
(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
19.2b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
19×times-frac
18×associate-*r*
13×add-exp-log add-cbrt-cube
8×pow1
6×associate-*l* add-log-exp
5×flip3-+ flip-+
4×associate-/r/
3×associate-*r/ prod-exp associate-/r* cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative div-inv associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in clear-num sum-log
Counts
4 → 98
Calls
4 calls:
11.0ms
(+ 2.30753 (* x 0.27061))
23.0ms
(* x (+ 0.99229 (* x 0.04481)))
45.0ms
(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
41.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series356.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(+ 2.30753 (* x 0.27061))
101.0ms
(* x (+ 0.99229 (* x 0.04481)))
110.0ms
(* 0.70711 (/ (+ 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)))))

simplify1.2s

Counts
110 → 110

prune418.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(* (sqrt 0.70711) (* (sqrt 0.70711) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
0.2b
(* (sqrt 0.70711) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
19.2b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
22×add-exp-log add-cbrt-cube
20×times-frac
19×associate-*r*
15×associate-*l*
13×pow1
8×prod-exp sqrt-prod cbrt-unprod
5×associate-*r/ pow-prod-down unswap-sqr
4×flip3-+ associate-/r/ flip-+ add-log-exp
3×cbrt-undiv div-exp associate-/r* *-commutative associate-/l*
2×div-inv associate-/l/
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num
Counts
4 → 116
Calls
4 calls:
22.0ms
(* x (+ 0.99229 (* x 0.04481)))
69.0ms
(* (sqrt 0.70711) (* (sqrt 0.70711) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
68.0ms
(* (sqrt 0.70711) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
31.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series480.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* x (+ 0.99229 (* x 0.04481)))
184.0ms
(* (sqrt 0.70711) (* (sqrt 0.70711) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
141.0ms
(* (sqrt 0.70711) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
81.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.2s

Counts
128 → 128

prune559.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

10.3b
(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
19.7b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
19.7b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
19.7b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×flip3-+ flip-+
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
38.0ms
(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
3.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series764.0ms

Counts
4 → 12
Calls
4 calls:
249.0ms
(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
172.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
196.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
147.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify831.0ms

Counts
82 → 82

prune506.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes72.0ms

Accuracy

-0.5% (0.0b remaining)

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

bsearch0.0ms

simplify1.7s

end0.0ms

sample884.0ms

Algorithm
intervals
Results
726.0ms8000×body80valid