Details

Time bar (total: 1.3m)

sample396.0ms

Algorithm
intervals
Results
40.0ms49×body640valid
40.0ms45×body1280valid
20.0ms136×body80valid
11.0ms18×body320valid
11.0ms256×pre80true
3.0ms8×body160valid

simplify82.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
81.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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))))

rewrite43.0ms

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
20.0ms
(* e (sin v))
13.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
8.0ms
(* e (cos v))

series275.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
131.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
74.0ms
(* e (cos v))
70.0ms
(* e (sin v))

simplify3.6s

Counts
44 → 71
Calls
44 calls:
Slowest
784.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
471.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
392.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
329.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
318.0ms
(+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v)))))

prune692.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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))

rewrite58.0ms

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
25.0ms
(/ (+ 1 (* e (cos v))) (sin v))
15.0ms
(* e (cos v))
9.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))

series274.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
134.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
88.0ms
(/ (+ 1 (* e (cos v))) (sin v))
52.0ms
(* e (cos v))

simplify8.3s

Counts
144 → 129
Calls
144 calls:
Slowest
641.0ms
(/ (* (* e e) e) (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))))
488.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
370.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt (sin v)) (cbrt (sin v)))))
340.0ms
(+ (pow 1 3) (pow (* e (cos v)) 3))
336.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune1.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize36.0ms

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))))

rewrite129.0ms

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
55.0ms
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
48.0ms
(* (sqrt e) (* (sqrt e) (sin v)))
14.0ms
(* e (cos v))
10.0ms
(* (sqrt e) (sin v))

series367.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
130.0ms
(* (sqrt e) (sin v))
118.0ms
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
64.0ms
(* (sqrt e) (* (sqrt e) (sin v)))
56.0ms
(* e (cos v))

simplify5.1s

Counts
67 → 102
Calls
67 calls:
Slowest
583.0ms
(/ (* (* (* (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)))))
503.0ms
(* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (sin v) (sin v)) (sin v))))
473.0ms
(/ (* (* (* (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)))))
470.0ms
(* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sin v)) (* (sqrt e) (sin v))) (* (sqrt e) (sin v))))
421.0ms
(/ (* (* (* (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)))))

prune1.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 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))

rewrite95.0ms

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
32.0ms
(/ (/ (+ 1 (* e (cos v))) (sin v)) e)
24.0ms
(/ (+ 1 (* e (cos v))) (sin v))
15.0ms
(/ 1 (/ (/ (+ 1 (* e (cos v))) (sin v)) e))
11.0ms
(* e (cos v))

series435.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
152.0ms
(/ (/ (+ 1 (* e (cos v))) (sin v)) e)
139.0ms
(/ 1 (/ (/ (+ 1 (* e (cos v))) (sin v)) e))
96.0ms
(/ (+ 1 (* e (cos v))) (sin v))
48.0ms
(* e (cos v))

simplify43.6s

Counts
459 → 333
Calls
459 calls:
Slowest
748.0ms
(/ (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))) (* (* e e) e))
739.0ms
(/ (* (* 1 1) 1) (* (* (/ (/ (+ 1 (* e (cos v))) (sin v)) e) (/ (/ (+ 1 (* e (cos v))) (sin v)) e)) (/ (/ (+ 1 (* e (cos v))) (sin v)) e)))
597.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (/ 1 (* (cbrt (sin v)) (cbrt (sin v)))) (* (cbrt e) (cbrt e))))
568.0ms
(/ (sqrt 1) (/ (/ (sqrt (+ 1 (* e (cos v)))) (cbrt (sin v))) (sqrt e)))
545.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))

prune3.5s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes197.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample5.7s

Algorithm
intervals
Results
2.0s1532×body1280valid
1.5s1244×body640valid
822.0ms4286×body80valid
472.0ms313×body160valid
369.0ms625×body320valid
319.0ms8000×pre80true