Details

Time bar (total: 32.4s)

sample245.0ms

Algorithm
intervals
Results
53.0ms136×body80valid
47.0ms47×body1280valid
27.0ms43×body640valid
12.0ms27×body320valid
9.0ms256×pre80true
1.0ms3×body160valid

simplify66.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
65.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize43.0ms

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))))

rewrite55.0ms

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*
Counts
3 → 62
Calls
3 calls:
Slowest
28.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
14.0ms
(* e (cos v))
10.0ms
(* e (sin v))

series270.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
135.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
72.0ms
(* e (sin v))
63.0ms
(* e (cos v))

simplify2.8s

Counts
44 → 71
Calls
44 calls:
Slowest
372.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
319.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
314.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
309.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
304.0ms
(/ (* (* (* e e) e) (* (* (sin v) (sin v)) (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))

prune750.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
19×times-frac
18×associate-*r*
12×add-cbrt-cube add-exp-log
7×pow1
6×associate-*l*
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-*r/
Counts
3 → 84
Calls
3 calls:
Slowest
31.0ms
(* e (/ (sin v) (+ 1 (* e (cos v)))))
22.0ms
(/ (sin v) (+ 1 (* e (cos v))))
15.0ms
(* e (cos v))

series234.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
117.0ms
(* e (/ (sin v) (+ 1 (* e (cos v)))))
64.0ms
(/ (sin v) (+ 1 (* e (cos v))))
53.0ms
(* e (cos v))

simplify5.1s

Counts
73 → 93
Calls
73 calls:
Slowest
396.0ms
(- (+ (/ (sin v) (* (pow e 3) (pow (cos v) 3))) (/ (sin v) (* e (cos v)))) (/ (sin v) (* (pow e 2) (pow (cos v) 2))))
375.0ms
(* (* (* e e) e) (* (* (/ (sin v) (+ 1 (* e (cos v)))) (/ (sin v) (+ 1 (* e (cos v))))) (/ (sin v) (+ 1 (* e (cos v))))))
364.0ms
(/ (* (* (sin v) (sin v)) (sin v)) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
360.0ms
(- (+ (/ (sin v) (* (pow e 3) (pow (cos v) 3))) (/ (sin v) (* e (cos v)))) (/ (sin v) (* (pow e 2) (pow (cos v) 2))))
354.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune983.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize21.0ms

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))

rewrite45.0ms

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
Counts
3 → 120
Calls
3 calls:
Slowest
22.0ms
(/ (+ 1 (* e (cos v))) (sin v))
13.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
8.0ms
(* e (cos v))

series274.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
121.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
89.0ms
(/ (+ 1 (* e (cos v))) (sin v))
65.0ms
(* e (cos v))

simplify8.4s

Counts
144 → 129
Calls
144 calls:
Slowest
611.0ms
(/ (* (* e e) e) (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))))
460.0ms
(- (log e) (log (/ (+ 1 (* e (cos v))) (sin v))))
450.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
406.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
381.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt (sin v)) (cbrt (sin v)))))

prune1.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt e) (sin v))
0.2b
(* (sqrt e) (* (sqrt e) (sin v)))
0.1b
(* e (cos v))
0.0b
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
22×add-cbrt-cube add-exp-log
19×add-sqr-sqrt
15×associate-*l*
13×pow1 *-un-lft-identity add-cube-cbrt
8×prod-exp cbrt-unprod
7×associate-*r* sqrt-prod
5×pow-prod-down
4×insert-posit16 add-log-exp
3×cbrt-undiv associate-/r* times-frac div-exp *-commutative unswap-sqr
2×associate-/r/
1×clear-num frac-2neg flip3-+ flip-+ div-inv associate-/l*
Counts
4 → 90
Calls
4 calls:
Slowest
29.0ms
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
28.0ms
(* (sqrt e) (* (sqrt e) (sin v)))
14.0ms
(* (sqrt e) (sin v))
8.0ms
(* e (cos v))

series352.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
129.0ms
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
96.0ms
(* (sqrt e) (sin v))
66.0ms
(* e (cos v))
61.0ms
(* (sqrt e) (* (sqrt e) (sin v)))

simplify4.4s

Counts
67 → 102
Calls
67 calls:
Slowest
501.0ms
(/ (* (* (* (sqrt e) (* (sqrt e) (sin v))) (* (sqrt e) (* (sqrt e) (sin v)))) (* (sqrt e) (* (sqrt e) (sin v)))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
434.0ms
(* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (sin v) (sin v)) (sin v))))
427.0ms
(/ (* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (sin v) (sin v)) (sin v)))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
419.0ms
(* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sin v)) (* (sqrt e) (sin v))) (* (sqrt e) (sin v))))
412.0ms
(/ (* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sin v)) (* (sqrt e) (sin v))) (* (sqrt e) (sin v)))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))

prune1.3s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.2s1482×body1280valid
1.3s1290×body640valid
849.0ms4339×body80valid
357.0ms8000×pre80true
333.0ms614×body320valid
103.0ms275×body160valid