Details

Time bar (total: 30.2s)

sample175.0ms

Algorithm
intervals
Results
67.0ms42×body1280valid
28.0ms51×body640valid
18.0ms145×body80valid
11.0ms256×pre80true
5.0ms12×body320valid
2.0ms6×body160valid

simplify86.0ms

Calls
1 calls:
Slowest
86.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

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))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×add-cbrt-cube add-exp-log
9×*-un-lft-identity add-cube-cbrt
7×pow1
6×associate-*r* associate-*l*
3×associate-/r* times-frac prod-exp cbrt-unprod insert-posit16 add-log-exp
2×cbrt-undiv div-exp pow-prod-down associate-/r/ *-commutative unswap-sqr
1×clear-num frac-2neg flip3-+ flip-+ div-inv associate-/l*
Calls
3 calls:
Slowest
29.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
14.0ms
(* e (sin v))
10.0ms
(* e (cos v))

series216.0ms

Calls
3 calls:
Slowest
113.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
54.0ms
(* e (cos v))
49.0ms
(* e (sin v))

simplify2.9s

Calls
44 calls:
Slowest
371.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
344.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
340.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
331.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
263.0ms
(+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v)))))

prune760.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (cos v))
0.1b
(* (cos v) e)
0.1b
(* (cos v) e)
0.1b
(* e (sin v))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
12×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
4×pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 add-log-exp unswap-sqr
Calls
4 calls:
Slowest
16.0ms
(* (cos v) e)
12.0ms
(* e (cos v))
8.0ms
(* e (sin v))
8.0ms
(* (cos v) e)

series256.0ms

Calls
4 calls:
Slowest
73.0ms
(* e (sin v))
66.0ms
(* (cos v) e)
65.0ms
(* (cos v) e)
52.0ms
(* e (cos v))

simplify1.9s

Calls
50 calls:
Slowest
331.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
311.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
311.0ms
(* (* (* (cos v) (cos v)) (cos v)) (* (* e e) e))
305.0ms
(* (* (* (cos v) (cos v)) (cos v)) (* (* e e) e))
214.0ms
(- e (* 1/2 (* e (pow v 2))))

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
57×add-sqr-sqrt
55×*-un-lft-identity add-cube-cbrt
16×associate-/r*
12×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv div-exp
3×associate-*r* associate-*l* insert-posit16 add-log-exp
2×clear-num frac-2neg associate-/l/
1×flip3-+ pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-+ unswap-sqr
Calls
3 calls:
Slowest
43.0ms
(/ (+ 1 (* e (cos v))) (sin v))
20.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
19.0ms
(* e (cos v))

series246.0ms

Calls
3 calls:
Slowest
103.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
88.0ms
(/ (+ 1 (* e (cos v))) (sin v))
55.0ms
(* e (cos v))

simplify9.3s

Calls
144 calls:
Slowest
1.0s
(/ (* (* e e) e) (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))))
593.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
403.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
394.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
315.0ms
(+ (pow 1 3) (pow (* e (cos v)) 3))

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
19×times-frac
18×associate-*l*
12×add-cbrt-cube add-exp-log
7×pow1
6×associate-*r*
4×associate-/r/
3×associate-/r* prod-exp cbrt-unprod insert-posit16 associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv flip3-+ div-exp pow-prod-down *-commutative flip-+ div-inv
1×clear-num frac-2neg associate-*l/
Calls
3 calls:
Slowest
29.0ms
(* (/ e (+ 1 (* e (cos v)))) (sin v))
14.0ms
(/ e (+ 1 (* e (cos v))))
11.0ms
(* e (cos v))

series268.0ms

Calls
3 calls:
Slowest
115.0ms
(* (/ e (+ 1 (* e (cos v)))) (sin v))
99.0ms
(/ e (+ 1 (* e (cos v))))
54.0ms
(* e (cos v))

simplify4.5s

Calls
72 calls:
Slowest
409.0ms
(/ (* (* e e) e) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
363.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
310.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
279.0ms
(+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v)))))
276.0ms
(* (/ (* (* e e) e) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))))) (* (* (sin v) (sin v)) (sin v)))

prune946.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes137.0ms

Accuracy

0% (0.1b remaining)

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

bsearch10.0ms

end0.0ms

sample5.5s

Algorithm
intervals
Results
2.0s1525×body1280valid
1.1s1218×body640valid
982.0ms4336×body80valid
772.0ms595×body320valid
334.0ms8000×pre80true
119.0ms326×body160valid