Details

Time bar (total: 46.6s)

sample362.0ms

Algorithm
intervals
Results
64.0ms50×body1280valid
43.0ms17×body320valid
33.0ms37×body640valid
25.0ms138×body80valid
18.0ms256×pre80true
5.0ms14×body160valid

simplify74.0ms

Calls
1 calls:
Slowest
73.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.1b
(* e (cos v))
0.1b
(* e (sin v))
0.0b
(/ (* e (sin v)) (+ 1 (* e (cos v))))

rewrite332.0ms

Algorithm
rewrite-expression-head
Rules
90×*-un-lft-identity
60×times-frac
54×add-sqr-sqrt
38×add-cube-cbrt
37×associate-*l*
26×distribute-lft-out
24×associate-*r*
12×add-cbrt-cube add-exp-log associate-/l*
8×*-commutative unswap-sqr
7×pow1
5×associate-/r*
3×prod-exp cbrt-unprod insert-posit16 add-log-exp
2×cbrt-undiv div-exp pow-prod-down associate-/r/
1×clear-num frac-2neg flip3-+ flip-+ div-inv
Calls
3 calls:
Slowest
294.0ms
(* e (cos v))
26.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
8.0ms
(* e (sin v))

series191.0ms

Calls
3 calls:
Slowest
90.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
56.0ms
(* e (cos v))
45.0ms
(* e (sin v))

simplify6.7s

Calls
169 calls:
Slowest
360.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
353.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
330.0ms
(/ (* (* (* e e) e) (* (* (sin v) (sin v)) (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
292.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
272.0ms
(+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v)))))

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (sin v) (/ (+ 1 (* e (cos v))) e))
0.1b
(* e (cos v))
0.0b
(/ (+ 1 (* e (cos v))) e)

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
141×*-un-lft-identity
132×times-frac
75×add-sqr-sqrt
73×add-cube-cbrt
34×distribute-lft-out
25×associate-/r*
20×associate-*l*
13×associate-/r/ associate-/l*
12×add-cbrt-cube add-exp-log
6×div-inv
5×pow1
4×cbrt-undiv div-exp associate-/l/
3×clear-num frac-2neg associate-*r* insert-posit16 add-log-exp
2×flip3-+ flip-+
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Calls
3 calls:
Slowest
57.0ms
(/ (+ 1 (* e (cos v))) e)
29.0ms
(/ (sin v) (/ (+ 1 (* e (cos v))) e))
15.0ms
(* e (cos v))

series246.0ms

Calls
3 calls:
Slowest
115.0ms
(/ (sin v) (/ (+ 1 (* e (cos v))) e))
66.0ms
(/ (+ 1 (* e (cos v))) e)
65.0ms
(* e (cos v))

simplify10.1s

Calls
207 calls:
Slowest
700.0ms
(/ (* (* (sin v) (sin v)) (sin v)) (* (* (/ (+ 1 (* e (cos v))) e) (/ (+ 1 (* e (cos v))) e)) (/ (+ 1 (* e (cos v))) e)))
484.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* e e) e))
338.0ms
(/ (* (cbrt (sin v)) (cbrt (sin v))) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt e) (cbrt e))))
328.0ms
(* e (+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v))))))
282.0ms
(+ (pow 1 3) (pow (* e (cos v)) 3))

prune1.7s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (/ (sin v) (+ 1 (* e (cos v)))) e)
0.1b
(* e (cos v))
0.0b
(/ (sin v) (+ 1 (* e (cos v))))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
34×add-sqr-sqrt
32×associate-*l*
31×times-frac
27×add-cube-cbrt
16×distribute-lft-out
12×add-cbrt-cube add-exp-log
11×associate-*l/
10×associate-/r*
7×pow1
6×associate-*r* associate-/l*
4×associate-/r/
3×prod-exp cbrt-unprod insert-posit16 add-log-exp unswap-sqr
2×cbrt-undiv clear-num frac-2neg flip3-+ div-exp pow-prod-down *-commutative flip-+ div-inv
Calls
3 calls:
Slowest
62.0ms
(* (/ (sin v) (+ 1 (* e (cos v)))) e)
39.0ms
(/ (sin v) (+ 1 (* e (cos v))))
8.0ms
(* e (cos v))

series231.0ms

Calls
3 calls:
Slowest
111.0ms
(* (/ (sin v) (+ 1 (* e (cos v)))) e)
62.0ms
(/ (sin v) (+ 1 (* e (cos v))))
58.0ms
(* e (cos v))

simplify5.2s

Calls
102 calls:
Slowest
412.0ms
(/ (* (* (sin v) (sin v)) (sin v)) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
342.0ms
(- (+ (/ (sin v) (* (pow e 3) (pow (cos v) 3))) (/ (sin v) (* e (cos v)))) (/ (sin v) (* (pow e 2) (pow (cos v) 2))))
330.0ms
(- v (+ (* 1/6 (pow v 3)) (* e v)))
322.0ms
(* (* (* (/ (sin v) (+ 1 (* e (cos v)))) (/ (sin v) (+ 1 (* e (cos v))))) (/ (sin v) (+ 1 (* e (cos v))))) (* (* e e) e))
300.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
0.1b
(* e (cos v))
0.1b
(/ (+ 1 (* e (cos v))) (sin v))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
141×*-un-lft-identity
132×times-frac
75×add-sqr-sqrt
73×add-cube-cbrt
34×distribute-lft-out
25×associate-/r*
20×associate-*l*
13×associate-/r/ associate-/l*
12×add-cbrt-cube add-exp-log
6×div-inv
5×pow1
4×cbrt-undiv div-exp associate-/l/
3×clear-num frac-2neg associate-*r* insert-posit16 add-log-exp
2×flip3-+ flip-+
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Calls
3 calls:
Slowest
53.0ms
(/ (+ 1 (* e (cos v))) (sin v))
37.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
8.0ms
(* e (cos v))

series250.0ms

Calls
3 calls:
Slowest
137.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
72.0ms
(/ (+ 1 (* e (cos v))) (sin v))
41.0ms
(* e (cos v))

simplify10.4s

Calls
210 calls:
Slowest
629.0ms
(/ (* (* e e) e) (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))))
544.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
355.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
287.0ms
(* (sin v) (+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v))))))
282.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt (sin v)) (cbrt (sin v)))))

prune1.7s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch2.0ms

end0.0ms

sample5.9s

Algorithm
intervals
Results
1.9s1518×body1280valid
1.6s1214×body640valid
899.0ms595×body320valid
815.0ms4355×body80valid
347.0ms8000×pre80true
120.0ms318×body160valid