Details

Time bar (total: 32.3s)

sample709.0ms

Algorithm
intervals
Results
510.0ms42×body640valid
61.0ms51×body1280valid
23.0ms130×body80valid
12.0ms256×pre80true
11.0ms20×body320valid
5.0ms13×body160valid

simplify84.0ms

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

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))))

rewrite33.0ms

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
14.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
9.0ms
(* e (cos v))
8.0ms
(* e (sin v))

series252.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
139.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
69.0ms
(* e (cos v))
44.0ms
(* e (sin v))

simplify2.7s

Counts
44 → 71
Calls
44 calls:
Slowest
344.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
342.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
324.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
303.0ms
(/ (* (* (* e e) e) (* (* (sin v) (sin v)) (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
273.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))

prune573.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

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
24.0ms
(* (cos v) e)
16.0ms
(* (cos v) e)
15.0ms
(* e (cos v))
12.0ms
(pow (* e (cos v)) 3)

series288.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
119.0ms
(pow (* e (cos v)) 3)
68.0ms
(* (cos v) e)
55.0ms
(* (cos v) e)
47.0ms
(* e (cos v))

simplify2.2s

Counts
50 → 92
Calls
50 calls:
Slowest
316.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
315.0ms
(* (* (* (cos v) (cos v)) (cos v)) (* (* e e) e))
297.0ms
(* (* (* (cos v) (cos v)) (cos v)) (* (* e e) e))
281.0ms
(- (pow e 3) (* 3/2 (* (pow e 3) (pow v 2))))
226.0ms
(- e (* 1/2 (* e (pow v 2))))

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

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)))

series280.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
130.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
96.0ms
(/ (+ 1 (* e (cos v))) (sin v))
54.0ms
(* e (cos v))

simplify8.1s

Counts
144 → 129
Calls
144 calls:
Slowest
605.0ms
(/ (* (* e e) e) (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))))
518.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
375.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
354.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt (sin v)) (cbrt (sin v)))))
312.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt e) (sin v))
0.2b
(* (/ (sqrt e) (+ 1 (* e (cos v)))) (* (sqrt e) (sin v)))
0.1b
(* e (cos v))
0.0b
(/ (sqrt e) (+ 1 (* e (cos v))))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
37×*-un-lft-identity add-cube-cbrt
36×times-frac
33×associate-*l*
25×sqrt-prod
22×add-cbrt-cube add-exp-log
13×pow1
8×prod-exp cbrt-unprod
7×associate-*r*
6×associate-/l*
5×pow-prod-down
4×associate-/r/ insert-posit16 add-log-exp
3×cbrt-undiv associate-/r* div-exp *-commutative unswap-sqr
2×flip3-+ flip-+ div-inv
1×clear-num frac-2neg associate-*l/
Counts
4 → 129
Calls
4 calls:
Slowest
66.0ms
(* (/ (sqrt e) (+ 1 (* e (cos v)))) (* (sqrt e) (sin v)))
19.0ms
(* (sqrt e) (sin v))
13.0ms
(/ (sqrt e) (+ 1 (* e (cos v))))
13.0ms
(* e (cos v))

series368.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
110.0ms
(/ (sqrt e) (+ 1 (* e (cos v))))
105.0ms
(* (/ (sqrt e) (+ 1 (* e (cos v)))) (* (sqrt e) (sin v)))
94.0ms
(* (sqrt e) (sin v))
59.0ms
(* e (cos v))

simplify5.5s

Counts
120 → 141
Calls
120 calls:
Slowest
408.0ms
(* (/ (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))))) (* (* (* (sqrt e) (sin v)) (* (sqrt e) (sin v))) (* (sqrt e) (sin v))))
367.0ms
(* (/ (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))))) (* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (sin v) (sin v)) (sin v))))
327.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
295.0ms
(+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v)))))
295.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune1.7s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes289.0ms

Accuracy

0% (0.1b remaining)

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

bsearch7.0ms

end0.0ms

sample6.1s

Algorithm
intervals
Results
2.5s1478×body1280valid
1.3s4357×body80valid
1.1s1258×body640valid
439.0ms8000×pre80true
364.0ms570×body320valid
134.0ms337×body160valid