Details

Time bar (total: 48.7s)

sample198.0ms

Algorithm
intervals
Results
52.0ms37×body640valid
43.0ms50×body1280valid
16.0ms138×body80valid
12.0ms256×pre80true
6.0ms17×body320valid
4.0ms14×body160valid

simplify48.0ms

Calls
1 calls:
Slowest
47.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune340.0ms

Pruning

2 alts after pruning (2 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))))

rewrite82.0ms

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×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u 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
39.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
17.0ms
(* e (sin v))
15.0ms
(* e (cos v))

series257.0ms

Calls
3 calls:
Slowest
100.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
79.0ms
(* e (sin v))
77.0ms
(* e (cos v))

simplify7.2s

Calls
169 calls:
Slowest
443.0ms
(+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v)))))
328.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
328.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
294.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
250.0ms
(/ (* (* (* e e) e) (* (* (sin v) (sin v)) (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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)

rewrite98.0ms

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×expm1-log1p-u clear-num frac-2neg associate-*r* insert-posit16 log1p-expm1-u add-log-exp
2×flip3-+ flip-+
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Calls
3 calls:
Slowest
56.0ms
(/ (+ 1 (* e (cos v))) e)
27.0ms
(/ (sin v) (/ (+ 1 (* e (cos v))) e))
13.0ms
(* e (cos v))

series255.0ms

Calls
3 calls:
Slowest
107.0ms
(/ (sin v) (/ (+ 1 (* e (cos v))) e))
82.0ms
(/ (+ 1 (* e (cos v))) e)
66.0ms
(* e (cos v))

simplify10.8s

Calls
207 calls:
Slowest
664.0ms
(/ (* (* (sin v) (sin v)) (sin v)) (* (* (/ (+ 1 (* e (cos v))) e) (/ (+ 1 (* e (cos v))) e)) (/ (+ 1 (* e (cos v))) e)))
573.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* e e) e))
335.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
309.0ms
(- (* e v) (+ (* 1/6 (* e (pow v 3))) (* (pow e 2) v)))
288.0ms
(/ (* (cbrt (sin v)) (cbrt (sin v))) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt e) (cbrt e))))

prune1.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize5.0ms

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))))

rewrite157.0ms

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×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u 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
101.0ms
(* (/ (sin v) (+ 1 (* e (cos v)))) e)
38.0ms
(/ (sin v) (+ 1 (* e (cos v))))
15.0ms
(* e (cos v))

series217.0ms

Calls
3 calls:
Slowest
101.0ms
(* (/ (sin v) (+ 1 (* e (cos v)))) e)
66.0ms
(/ (sin v) (+ 1 (* e (cos v))))
49.0ms
(* e (cos v))

simplify5.6s

Calls
102 calls:
Slowest
485.0ms
(+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v)))))
445.0ms
(/ (* (* (sin v) (sin v)) (sin v)) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
399.0ms
(- v (+ (* 1/6 (pow v 3)) (* e v)))
340.0ms
(- (+ (/ (sin v) (* (pow e 3) (pow (cos v) 3))) (/ (sin v) (* e (cos v)))) (/ (sin v) (* (pow e 2) (pow (cos v) 2))))
323.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize5.0ms

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))

rewrite84.0ms

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×expm1-log1p-u clear-num frac-2neg associate-*r* insert-posit16 log1p-expm1-u add-log-exp
2×flip3-+ flip-+
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Calls
3 calls:
Slowest
43.0ms
(/ (+ 1 (* e (cos v))) (sin v))
22.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
14.0ms
(* e (cos v))

series278.0ms

Calls
3 calls:
Slowest
116.0ms
(/ (+ 1 (* e (cos v))) (sin v))
99.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
63.0ms
(* e (cos v))

simplify10.9s

Calls
210 calls:
Slowest
648.0ms
(/ (* (* e e) e) (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))))
533.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
358.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt (sin v)) (cbrt (sin v)))))
331.0ms
(* (sin v) (+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v))))))
316.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune1.7s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes90.0ms

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
2.8s1518×body1280valid
1.1s1214×body640valid
846.0ms4355×body80valid
385.0ms8000×pre80true
350.0ms595×body320valid
119.0ms318×body160valid