Details

Time bar (total: 29.7s)

sample246.0ms

Algorithm
intervals
Results
34.0ms41×body1280valid
24.0ms40×body640valid
18.0ms138×body80valid
9.0ms256×pre80true
9.0ms23×body320valid
4.0ms14×body160valid

simplify78.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
77.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

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))))

rewrite32.0ms

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
13.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
9.0ms
(* e (sin v))
8.0ms
(* e (cos v))

series240.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
114.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
69.0ms
(* e (sin v))
57.0ms
(* e (cos v))

simplify2.7s

Counts
44 → 71
Calls
44 calls:
Slowest
391.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
345.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
328.0ms
(/ (* (* (* e e) e) (* (* (sin v) (sin v)) (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
280.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
255.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune755.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (* e (cos v)) 3)
0.1b
(* e (sin v))
0.1b
(* e (cos v))
0.1b
(* (cos v) e)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×pow1 add-cbrt-cube add-exp-log
11×*-un-lft-identity add-cube-cbrt
9×associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
3×pow-unpow *-commutative unswap-sqr
2×pow-pow pow-exp rem-cube-cbrt
1×cube-mult pow-to-exp unpow-prod-down unpow3 cube-prod sqr-pow
Counts
4 → 80
Calls
4 calls:
Slowest
15.0ms
(* e (sin v))
15.0ms
(* (cos v) e)
15.0ms
(* e (cos v))
12.0ms
(pow (* e (cos v)) 3)

series276.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
98.0ms
(pow (* e (cos v)) 3)
75.0ms
(* e (sin v))
57.0ms
(* e (cos v))
46.0ms
(* (cos v) e)

simplify2.1s

Counts
51 → 92
Calls
51 calls:
Slowest
337.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
331.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
305.0ms
(- (pow e 3) (* 3/2 (* (pow e 3) (pow v 2))))
290.0ms
(* (* (* (cos v) (cos v)) (cos v)) (* (* e e) e))
231.0ms
(* (pow e 3) (pow (cos v) 3))

prune1.3s

Pruning

6 alts after pruning (5 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))

rewrite80.0ms

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))
23.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
14.0ms
(* e (cos v))

series233.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
99.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
90.0ms
(/ (+ 1 (* e (cos v))) (sin v))
44.0ms
(* e (cos v))

simplify8.3s

Counts
144 → 129
Calls
144 calls:
Slowest
698.0ms
(/ (* (* e e) e) (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))))
510.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
449.0ms
(/ e (/ (cbrt (+ 1 (* e (cos v)))) (cbrt (sin v))))
354.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt (sin v)) (cbrt (sin v)))))
344.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite113.0ms

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))))
32.0ms
(* (sqrt e) (* (sqrt e) (sin v)))
15.0ms
(* e (cos v))
10.0ms
(* (sqrt e) (sin v))

series358.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
108.0ms
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
100.0ms
(* (sqrt e) (sin v))
84.0ms
(* (sqrt e) (* (sqrt e) (sin v)))
65.0ms
(* e (cos v))

simplify4.6s

Counts
67 → 102
Calls
67 calls:
Slowest
509.0ms
(/ (* (* (* (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)))))
506.0ms
(* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (sin v) (sin v)) (sin v))))
488.0ms
(/ (* (* (* (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)))))
422.0ms
(/ (* (* (* (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)))))
408.0ms
(* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sin v)) (* (sqrt e) (sin v))) (* (sqrt e) (sin v))))

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes123.0ms

Accuracy

0% (0.1b remaining)

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

bsearch7.0ms

end0.0ms

sample5.6s

Algorithm
intervals
Results
2.1s1535×body1280valid
1.1s1230×body640valid
825.0ms4327×body80valid
686.0ms8000×pre80true
527.0ms310×body160valid
302.0ms598×body320valid