Details

Time bar (total: 24.9s)

sample266.0ms

Algorithm
intervals
Results
67.0ms144×body80valid
57.0ms45×body1280valid
37.0ms38×body640valid
13.0ms22×body320valid
12.0ms256×pre80true
3.0ms7×body160valid

simplify72.0ms

Calls
1 calls:
Slowest
71.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize446.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×associate-*r*
5×add-cbrt-cube add-exp-log
3×pow1 associate-/r* times-frac insert-posit16 add-log-exp
2×associate-/r/ *-commutative
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ div-inv associate-/l*
Calls
3 calls:
Slowest
10.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
5.0ms
(* e (sin v))
3.0ms
(* e (cos v))

series176.0ms

Calls
3 calls:
Slowest
70.0ms
(* e (sin v))
65.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
40.0ms
(* e (cos v))

simplify1.5s

Calls
28 calls:
Slowest
329.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
263.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
196.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
192.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
187.0ms
(+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v)))))

prune511.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
16×associate-/r*
5×add-cbrt-cube add-exp-log
3×pow1 associate-*r* insert-posit16 div-inv associate-/l* add-log-exp
2×clear-num frac-2neg associate-/l/
1×cbrt-undiv flip3-+ div-exp associate-/r/ *-commutative flip-+
Calls
3 calls:
Slowest
8.0ms
(/ (+ 1 (* e (cos v))) (sin v))
1.0ms
(* e (cos v))
1.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))

series192.0ms

Calls
3 calls:
Slowest
83.0ms
(/ (+ 1 (* e (cos v))) (sin v))
73.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
36.0ms
(* e (cos v))

simplify2.1s

Calls
53 calls:
Slowest
399.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
350.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
190.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
161.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
100.0ms
(- (* 1 1) (* (* e (cos v)) (* e (cos v))))

prune826.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (/ (/ (+ 1 (* e (cos v))) (sin v)) e))
0.2b
(/ (/ (+ 1 (* e (cos v))) (sin v)) e)
0.1b
(/ (+ 1 (* e (cos v))) (sin v))
0.1b
(* e (cos v))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
16×associate-/l*
7×associate-/r* add-exp-log
6×add-cbrt-cube
5×pow1 div-inv
4×insert-posit16 add-log-exp
3×clear-num frac-2neg associate-*r* associate-/l/
1×cbrt-undiv rec-exp flip3-+ div-exp associate-/r/ *-commutative flip-+ pow-flip inv-pow
Calls
4 calls:
Slowest
11.0ms
(/ (/ (+ 1 (* e (cos v))) (sin v)) e)
8.0ms
(/ (+ 1 (* e (cos v))) (sin v))
2.0ms
(/ 1 (/ (/ (+ 1 (* e (cos v))) (sin v)) e))
2.0ms
(* e (cos v))

series280.0ms

Calls
4 calls:
Slowest
108.0ms
(/ (/ (+ 1 (* e (cos v))) (sin v)) e)
77.0ms
(/ 1 (/ (/ (+ 1 (* e (cos v))) (sin v)) e))
56.0ms
(/ (+ 1 (* e (cos v))) (sin v))
39.0ms
(* e (cos v))

simplify2.6s

Calls
60 calls:
Slowest
447.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
414.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
221.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
171.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
133.0ms
(- (* 1 1) (* (* e (cos v)) (* e (cos v))))

prune994.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ (+ 1 (* e (cos v))) (sin v)))
0.3b
(/ (/ 1 (/ (+ 1 (* e (cos v))) (sin v))) (/ 1 e))
0.1b
(/ (+ 1 (* e (cos v))) (sin v))
0.1b
(* e (cos v))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
38×times-frac
31×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
20×associate-/r*
16×add-exp-log
15×div-inv
8×add-cbrt-cube associate-/l*
7×associate-/r/
6×div-exp
5×pow1
4×rec-exp insert-posit16 add-log-exp
3×clear-num frac-2neg associate-*r* associate-/l/
2×cbrt-undiv
1×flip3-+ *-commutative flip-+ pow-flip inv-pow
Calls
4 calls:
Slowest
10.0ms
(/ (+ 1 (* e (cos v))) (sin v))
5.0ms
(/ (/ 1 (/ (+ 1 (* e (cos v))) (sin v))) (/ 1 e))
3.0ms
(* e (cos v))
2.0ms
(/ 1 (/ (+ 1 (* e (cos v))) (sin v)))

series286.0ms

Calls
4 calls:
Slowest
85.0ms
(/ (/ 1 (/ (+ 1 (* e (cos v))) (sin v))) (/ 1 e))
83.0ms
(/ (+ 1 (* e (cos v))) (sin v))
72.0ms
(/ 1 (/ (+ 1 (* e (cos v))) (sin v)))
46.0ms
(* e (cos v))

simplify7.3s

Calls
108 calls:
Slowest
446.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
354.0ms
(/ (/ 1 (/ (+ 1 (* e (cos v))) (sin v))) (/ 1 e))
334.0ms
(/ (/ 1 (/ (+ 1 (* e (cos v))) (sin v))) (/ 1 e))
312.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
300.0ms
(/ (/ 1 (/ (+ 1 (* e (cos v))) (sin v))) (/ 1 e))

prune1.3s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes203.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample5.8s

Algorithm
intervals
Results
2.4s1490×body1280valid
1.2s4356×body80valid
1.1s1256×body640valid
394.0ms586×body320valid
340.0ms8000×pre80true
144.0ms312×body160valid