Details

Time bar (total: 42.5s)

sample307.0ms

Algorithm
intervals
Results
106.0ms52×body1280valid
35.0ms41×body640valid
28.0ms143×body80valid
13.0ms256×pre80true
6.0ms10×body320valid
4.0ms10×body160valid

simplify82.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
82.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune7.0ms

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

rewrite42.0ms

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
16.0ms
(* e (sin v))
16.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
8.0ms
(* e (cos v))

series227.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
113.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
72.0ms
(* e (sin v))
41.0ms
(* e (cos v))

simplify4.9s

Counts
75 → 71
Calls
75 calls:
Slowest
435.0ms
(/ (* e (sin v)) (- (* 1 1) (* (* e (cos v)) (* e (cos v)))))
396.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
366.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
338.0ms
(* (* (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v))))) (/ (* e (sin v)) (+ 1 (* e (cos v)))))
318.0ms
(/ (* (* (* e e) e) (* (* (sin v) (sin v)) (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))

prune677.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

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
31.0ms
(/ (+ 1 (* e (cos v))) (sin v))
19.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
8.0ms
(* e (cos v))

series266.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
128.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
89.0ms
(/ (+ 1 (* e (cos v))) (sin v))
49.0ms
(* e (cos v))

simplify10.7s

Counts
179 → 129
Calls
179 calls:
Slowest
793.0ms
(* (* (/ e (/ (+ 1 (* e (cos v))) (sin v))) (/ e (/ (+ 1 (* e (cos v))) (sin v)))) (/ e (/ (+ 1 (* e (cos v))) (sin v))))
489.0ms
(/ (* (* e e) e) (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))))
463.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
350.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt (sin v)) (cbrt (sin v)))))
334.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune1.3s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize51.0ms

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))))

rewrite97.0ms

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
38.0ms
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
28.0ms
(* (sqrt e) (* (sqrt e) (sin v)))
21.0ms
(* (sqrt e) (sin v))
8.0ms
(* e (cos v))

series327.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
109.0ms
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
107.0ms
(* (sqrt e) (sin v))
60.0ms
(* (sqrt e) (* (sqrt e) (sin v)))
50.0ms
(* e (cos v))

simplify8.4s

Counts
106 → 102
Calls
106 calls:
Slowest
616.0ms
(* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sin v)) (* (sqrt e) (sin v))) (* (sqrt e) (sin v))))
595.0ms
(* (* (/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v)))) (/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))) (/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v)))))
503.0ms
(* (* (* (sqrt e) (* (sqrt e) (sin v))) (* (sqrt e) (* (sqrt e) (sin v)))) (* (sqrt e) (* (sqrt e) (sin v))))
478.0ms
(/ (* (* (* (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)))))
466.0ms
(/ (* (* (* (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)))))

prune1.2s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))
0.3b
(* (sqrt (sqrt e)) (sin v))
0.2b
(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
0.2b
(sqrt (sqrt e))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
34×sqrt-prod
24×associate-*l*
23×add-sqr-sqrt
22×pow1
20×add-cbrt-cube add-exp-log
15×*-un-lft-identity add-cube-cbrt
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*r*
4×sqrt-pow1 insert-posit16 add-log-exp
3×*-commutative unswap-sqr
2×rem-sqrt-square pow1/2
Counts
4 → 97
Calls
4 calls:
Slowest
87.0ms
(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
45.0ms
(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))
16.0ms
(* (sqrt (sqrt e)) (sin v))
2.0ms
(sqrt (sqrt e))

series488.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
217.0ms
(sqrt (sqrt e))
114.0ms
(* (sqrt (sqrt e)) (sin v))
79.0ms
(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))
78.0ms
(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))

simplify5.6s

Counts
112 → 109
Calls
112 calls:
Slowest
717.0ms
(* (* (* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))) (* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))) (* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))))
452.0ms
(* (* (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
348.0ms
(* (* (* (sqrt (sqrt e)) (sqrt (sqrt e))) (sqrt (sqrt e))) (* (* (sin v) (sin v)) (sin v)))
346.0ms
(* (* (* (sqrt (sqrt e)) (sqrt (sqrt e))) (sqrt (sqrt e))) (* (* (* (sqrt (sqrt e)) (sin v)) (* (sqrt (sqrt e)) (sin v))) (* (sqrt (sqrt e)) (sin v))))
249.0ms
(* (* (* (sqrt (sqrt e)) (sqrt (sqrt e))) (sqrt (sqrt e))) (* (* (* (sqrt (sqrt e)) (sqrt (sqrt e))) (sqrt (sqrt e))) (* (* (sin v) (sin v)) (sin v))))

prune1.4s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes256.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample5.9s

Algorithm
intervals
Results
2.0s1514×body1280valid
1.6s4291×body80valid
1.0s1247×body640valid
442.0ms622×body320valid
346.0ms8000×pre80true
150.0ms326×body160valid