Details

Time bar (total: 46.6s)

sample283.0ms

Algorithm
intervals
Results
62.0ms52×body1280valid
49.0ms11×body160valid
32.0ms40×body640valid
25.0ms135×body80valid
16.0ms256×pre80true
14.0ms18×body320valid

simplify84.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize48.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

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
40.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
10.0ms
(* e (sin v))
7.0ms
(* e (cos v))

series273.0ms

Calls
3 calls:
Slowest
147.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
72.0ms
(* e (sin v))
54.0ms
(* e (cos v))

simplify6.7s

Calls
169 calls:
Slowest
326.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
325.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
323.0ms
(/ (* (* (* e e) e) (* (* (sin v) (sin v)) (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
316.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
289.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))

prune1.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* e (sin v))
0.1b
(* (* e (cos v)) (* e (cos v)))
0.1b
(* e (cos v))
0.1b
(* e (cos v))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
49×pow1
48×add-sqr-sqrt
35×associate-*l*
33×associate-*r*
26×*-un-lft-identity
22×add-cbrt-cube add-exp-log add-cube-cbrt
20×pow-prod-down
15×unswap-sqr
14×swap-sqr
11×prod-exp cbrt-unprod
8×*-commutative
4×pow-sqr pow-prod-up insert-posit16 add-log-exp
2×pow-plus
1×pow2
Calls
4 calls:
Slowest
79.0ms
(* (* e (cos v)) (* e (cos v)))
14.0ms
(* e (cos v))
12.0ms
(* e (sin v))
11.0ms
(* e (cos v))

series265.0ms

Calls
4 calls:
Slowest
83.0ms
(* (* e (cos v)) (* e (cos v)))
69.0ms
(* e (cos v))
60.0ms
(* e (cos v))
53.0ms
(* e (sin v))

simplify4.3s

Calls
128 calls:
Slowest
801.0ms
(* (* (* (* e e) e) (* (* (cos v) (cos v)) (cos v))) (* (* (* e e) e) (* (* (cos v) (cos v)) (cos v))))
608.0ms
(* (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))))
312.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
307.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
305.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite86.0ms

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
48.0ms
(/ (+ 1 (* e (cos v))) e)
28.0ms
(/ (sin v) (/ (+ 1 (* e (cos v))) e))
7.0ms
(* e (cos v))

series219.0ms

Calls
3 calls:
Slowest
96.0ms
(/ (sin v) (/ (+ 1 (* e (cos v))) e))
80.0ms
(/ (+ 1 (* e (cos v))) e)
43.0ms
(* e (cos v))

simplify10.7s

Calls
207 calls:
Slowest
1.1s
(/ (* (* (sin v) (sin v)) (sin v)) (* (* (/ (+ 1 (* e (cos v))) e) (/ (+ 1 (* e (cos v))) e)) (/ (+ 1 (* e (cos v))) e)))
433.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* e e) e))
367.0ms
(/ (* (cbrt (sin v)) (cbrt (sin v))) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt e) (cbrt e))))
318.0ms
(* e (+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v))))))
292.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite100.0ms

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
46.0ms
(/ (+ 1 (* e (cos v))) (sin v))
34.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
14.0ms
(* e (cos v))

series263.0ms

Calls
3 calls:
Slowest
119.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
99.0ms
(/ (+ 1 (* e (cos v))) (sin v))
45.0ms
(* e (cos v))

simplify10.5s

Calls
210 calls:
Slowest
700.0ms
(/ (* (* e e) e) (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))))
502.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
410.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt (sin v)) (cbrt (sin v)))))
336.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
310.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune1.7s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch2.0ms

end0.0ms

sample6.1s

Algorithm
intervals
Results
2.6s1535×body1280valid
1.3s1316×body640valid
810.0ms8000×pre80true
751.0ms4222×body80valid
382.0ms612×body320valid
117.0ms315×body160valid