Details

Time bar (total: 1.4m)

sample560.0ms

Algorithm
intervals
Results
170.0ms57×body1280valid
125.0ms132×body80valid
37.0ms34×body640valid
20.0ms24×body320valid
17.0ms256×pre80true
4.0ms9×body160valid

simplify53.0ms

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

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))))

rewrite47.0ms

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
21.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
14.0ms
(* e (sin v))
9.0ms
(* e (cos v))

series227.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
109.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
66.0ms
(* e (cos v))
52.0ms
(* e (sin v))

simplify2.6s

Counts
44 → 71
Calls
44 calls:
Slowest
342.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
333.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
318.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
282.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
261.0ms
(/ (* (* (* e e) e) (* (* (sin v) (sin v)) (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))

prune799.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

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))

rewrite77.0ms

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
40.0ms
(/ (+ 1 (* e (cos v))) (sin v))
18.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
15.0ms
(* e (cos v))

series298.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
129.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
115.0ms
(/ (+ 1 (* e (cos v))) (sin v))
54.0ms
(* e (cos v))

simplify8.9s

Counts
144 → 129
Calls
144 calls:
Slowest
691.0ms
(/ (* (* e e) e) (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))))
607.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
604.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
365.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
353.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt (sin v)) (cbrt (sin v)))))

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 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))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
477×times-frac
242×add-sqr-sqrt
240×*-un-lft-identity add-cube-cbrt
49×associate-/r*
34×add-exp-log
23×div-inv
22×add-cbrt-cube
19×div-exp associate-/l*
10×cbrt-undiv
7×pow1
4×insert-posit16 add-log-exp
3×rec-exp clear-num frac-2neg 1-exp associate-*r* associate-*l* associate-/l/
1×flip3-+ pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-+ pow-flip inv-pow unswap-sqr
Counts
4 → 321
Calls
4 calls:
Slowest
37.0ms
(/ (+ 1 (* e (cos v))) (sin v))
28.0ms
(/ (/ (+ 1 (* e (cos v))) (sin v)) e)
23.0ms
(/ 1 (/ (/ (+ 1 (* e (cos v))) (sin v)) e))
15.0ms
(* e (cos v))

series426.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
158.0ms
(/ (/ (+ 1 (* e (cos v))) (sin v)) e)
120.0ms
(/ 1 (/ (/ (+ 1 (* e (cos v))) (sin v)) e))
93.0ms
(/ (+ 1 (* e (cos v))) (sin v))
55.0ms
(* e (cos v))

simplify42.5s

Counts
459 → 333
Calls
459 calls:
Slowest
705.0ms
(/ (* (* 1 1) 1) (* (* (/ (/ (+ 1 (* e (cos v))) (sin v)) e) (/ (/ (+ 1 (* e (cos v))) (sin v)) e)) (/ (/ (+ 1 (* e (cos v))) (sin v)) e)))
635.0ms
(/ (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))) (* (* e e) e))
523.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
500.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (/ 1 (* (cbrt (sin v)) (cbrt (sin v)))) (* (cbrt e) (cbrt e))))
498.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (sqrt (sin v))) (* (cbrt e) (cbrt e))))

prune3.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (* (/ (+ 1 (* e (cos v))) (sin v)) (/ 1 e)))
0.3b
(* (/ (+ 1 (* e (cos v))) (sin v)) (/ 1 e))
0.1b
(/ (+ 1 (* e (cos v))) (sin v))
0.1b
(* e (cos v))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
108×add-exp-log
51×div-exp
49×add-sqr-sqrt
38×add-cbrt-cube
37×times-frac
33×prod-exp
32×*-un-lft-identity
30×add-cube-cbrt
17×rec-exp 1-exp
16×associate-*r* associate-*l*
14×cbrt-undiv
11×pow1
9×cbrt-unprod
7×unswap-sqr
6×associate-/l*
4×associate-/r* associate-/r/ insert-posit16 div-inv add-log-exp
3×pow-prod-down
2×frac-times clear-num frac-2neg associate-*l/ associate-*r/ un-div-inv *-commutative pow-flip associate-/l/
1×flip3-+ flip-+ inv-pow
Counts
4 → 164
Calls
4 calls:
Slowest
41.0ms
(* (/ (+ 1 (* e (cos v))) (sin v)) (/ 1 e))
38.0ms
(/ (+ 1 (* e (cos v))) (sin v))
24.0ms
(/ 1 (* (/ (+ 1 (* e (cos v))) (sin v)) (/ 1 e)))
13.0ms
(* e (cos v))

series849.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
542.0ms
(/ 1 (* (/ (+ 1 (* e (cos v))) (sin v)) (/ 1 e)))
172.0ms
(* (/ (+ 1 (* e (cos v))) (sin v)) (/ 1 e))
94.0ms
(/ (+ 1 (* e (cos v))) (sin v))
41.0ms
(* e (cos v))

simplify14.0s

Counts
138 → 176
Calls
138 calls:
Slowest
621.0ms
(* (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))) (* (* (/ 1 e) (/ 1 e)) (/ 1 e)))
563.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
485.0ms
(/ (* (* 1 1) 1) (* (/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v))) (/ (* (* 1 1) 1) (* (* e e) e))))
409.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
395.0ms
(- 0 (log (* (/ (+ 1 (* e (cos v))) (sin v)) (/ 1 e))))

prune1.7s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes201.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample5.8s

Algorithm
intervals
Results
2.7s1516×body1280valid
1.1s1293×body640valid
854.0ms4263×body80valid
383.0ms643×body320valid
346.0ms8000×pre80true
154.0ms285×body160valid