Details

Time bar (total: 15.7s)

sample46.0ms

Algorithm
intervals
Results
26.0ms256×body80valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01619
13119
25219
37419
410219
511219
612319
716119
821619
926419
1033219
1150519
1278419
13398719
done500019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
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)))
14.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite284.0ms

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
9×associate-*r*
8×pow1
6×associate-*l* add-log-exp
4×flip3-+ associate-*r/ flip-+
3×distribute-rgt-in distribute-lft-in associate-/r* associate-/l*
2×sub-neg pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod associate-/l/ difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp clear-num sum-log flip-- div-inv distribute-lft-out--
Counts
4 → 91
Calls
4 calls:
12.0ms
(+ 0.99229 (* x 0.04481))
204.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
24.0ms
(* x (+ 0.99229 (* x 0.04481)))
39.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series406.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(+ 0.99229 (* x 0.04481))
156.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
103.0ms
(* x (+ 0.99229 (* x 0.04481)))
84.0ms
(/ (+ 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
15541816
223631670
done50011668

prune291.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711) (* 0.70711 (- x)))
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)
14.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite147.0ms

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
8×pow1
6×associate-*r* add-log-exp
5×flip3-+ flip-+
4×associate-/r/
3×prod-exp associate-/r* cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative distribute-rgt-neg-out div-inv associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in unsub-neg associate-*l/ clear-num sum-log
Counts
4 → 100
Calls
4 calls:
30.0ms
(+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711) (* 0.70711 (- x)))
30.0ms
(* x (+ 0.99229 (* x 0.04481)))
50.0ms
(* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711)
34.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series393.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711) (* 0.70711 (- x)))
106.0ms
(* x (+ 0.99229 (* x 0.04481)))
98.0ms
(* (/ (+ 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)))))

simplify2.0s

Counts
112 → 112
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02242336
16442251
231452013
done50002007

prune501.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (+ 2.30753 (* x 0.27061)) (/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
1.0b
(/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
13.2b
(* (+ 2.30753 (* x 0.27061)) (/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite106.0ms

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×flip3-+ associate-*l* flip-+ add-log-exp
4×associate-/r/
3×associate-*r/ prod-exp associate-/r* cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv frac-times div-exp pow-prod-down associate-*l/ *-commutative distribute-rgt-neg-out div-inv
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in unsub-neg clear-num sum-log
Counts
4 → 102
Calls
4 calls:
29.0ms
(+ (* (+ 2.30753 (* x 0.27061)) (/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
20.0ms
(* x (+ 0.99229 (* x 0.04481)))
9.0ms
(/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
42.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series404.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(+ (* (+ 2.30753 (* x 0.27061)) (/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
112.0ms
(* x (+ 0.99229 (* x 0.04481)))
59.0ms
(/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
98.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify2.3s

Counts
114 → 114
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02302258
16772173
236871963
done50001957

prune390.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sqrt 0.70711) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
0.2b
(* (* (/ (sqrt 0.70711) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (+ (* x 0.27061) 2.30753)) (/ (sqrt 0.70711) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
14.3b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.3b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
84×sqrt-prod
72×times-frac
61×add-sqr-sqrt
59×add-cube-cbrt *-un-lft-identity
42×associate-*r*
27×add-exp-log add-cbrt-cube
11×pow1
10×prod-exp cbrt-unprod
9×frac-times
8×flip3-+ sqrt-div flip-+
7×associate-*l/
6×cbrt-undiv div-exp associate-/r* associate-/l*
5×associate-*r/
4×associate-/r/ add-log-exp
3×pow-prod-down
2×rem-sqrt-square sqrt-pow1 pow1/2 div-inv
1×sqrt-undiv frac-2neg associate-*l* clear-num *-commutative
Counts
4 → 169
Calls
4 calls:
20.0ms
(/ (sqrt 0.70711) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
163.0ms
(* (* (/ (sqrt 0.70711) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (+ (* x 0.27061) 2.30753)) (/ (sqrt 0.70711) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
17.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
7.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series547.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(/ (sqrt 0.70711) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
156.0ms
(* (* (/ (sqrt 0.70711) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (+ (* x 0.27061) 2.30753)) (/ (sqrt 0.70711) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
80.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
107.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify540.0ms

Counts
181 → 181
Iterations

Useful iterations: done (528.0ms)

IterNodesCost
02995633
19005140
done50004676

prune856.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01822
12922
23322
33422
done3422

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s8000×body80valid