Details

Time bar (total: 52.8s)

sample246.0ms

Algorithm
intervals
Results
53.0ms45×body1280valid
44.0ms50×body640valid
26.0ms134×body80valid
11.0ms256×pre80true
10.0ms17×body320valid
4.0ms10×body160valid

simplify72.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
71.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

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
21.0ms
(* e (sin v))
13.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
7.0ms
(* e (cos v))

series410.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
195.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
160.0ms
(* e (cos v))
54.0ms
(* e (sin v))

simplify3.0s

Counts
44 → 71
Calls
44 calls:
Slowest
508.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
455.0ms
(/ (* (* (* e e) e) (* (* (sin v) (sin v)) (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
372.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
369.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
277.0ms
(+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v)))))

prune754.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×add-cbrt-cube add-exp-log
14×*-un-lft-identity add-cube-cbrt
10×pow1
9×associate-*r* associate-*l*
6×associate-/r* times-frac sqrt-prod
4×prod-exp cbrt-unprod insert-posit16 add-log-exp
3×pow-prod-down *-commutative unswap-sqr
2×cbrt-undiv sqrt-div div-exp associate-/r/
1×clear-num frac-2neg flip3-+ flip-+ div-inv associate-/l*
Counts
4 → 87
Calls
4 calls:
Slowest
27.0ms
(/ (* e (sin v)) (sqrt (+ 1 (* e (cos v)))))
15.0ms
(* e (cos v))
11.0ms
(* e (sin v))
10.0ms
(* e (cos v))

series729.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
565.0ms
(/ (* e (sin v)) (sqrt (+ 1 (* e (cos v)))))
61.0ms
(* e (cos v))
54.0ms
(* e (sin v))
49.0ms
(* e (cos v))

simplify2.5s

Counts
66 → 99
Calls
66 calls:
Slowest
349.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
338.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
319.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
260.0ms
(sqrt (+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v))))))
252.0ms
(- (+ (* 3/8 (* (pow e 3) v)) (* e v)) (* 1/2 (* (pow e 2) v)))

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

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))

rewrite55.0ms

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
24.0ms
(/ (+ 1 (* e (cos v))) (sin v))
22.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
7.0ms
(* e (cos v))

series263.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
106.0ms
(/ (+ 1 (* e (cos v))) (sin v))
94.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
62.0ms
(* e (cos v))

simplify8.1s

Counts
144 → 129
Calls
144 calls:
Slowest
613.0ms
(/ (* (* e e) e) (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))))
459.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
339.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt (sin v)) (cbrt (sin v)))))
329.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
313.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
50×times-frac
45×pow1
32×add-cbrt-cube add-exp-log
29×add-sqr-sqrt
27×*-un-lft-identity add-cube-cbrt
18×pow-prod-down
11×associate-/r* prod-exp associate-/r/ cbrt-unprod
10×associate-*r/
7×cbrt-undiv div-exp associate-/l*
6×flip3-- div-inv flip-- difference-of-squares
4×associate-*r* associate-*l* pow-sqr pow-prod-up insert-posit16 add-log-exp
2×clear-num frac-2neg pow-plus *-commutative associate-/l/
1×pow2 div-sub swap-sqr unswap-sqr
Counts
4 → 144
Calls
4 calls:
Slowest
67.0ms
(/ (- (* 1 1) (* (* e (cos v)) (* e (cos v)))) (* (sin v) (- 1 (* e (cos v)))))
47.0ms
(/ e (/ (- (* 1 1) (* (* e (cos v)) (* e (cos v)))) (* (sin v) (- 1 (* e (cos v))))))
28.0ms
(* (* e (cos v)) (* e (cos v)))
15.0ms
(* e (cos v))

series436.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
175.0ms
(/ e (/ (- (* 1 1) (* (* e (cos v)) (* e (cos v)))) (* (sin v) (- 1 (* e (cos v))))))
139.0ms
(/ (- (* 1 1) (* (* e (cos v)) (* e (cos v)))) (* (sin v) (- 1 (* e (cos v)))))
81.0ms
(* (* e (cos v)) (* e (cos v)))
42.0ms
(* e (cos v))

simplify25.3s

Counts
155 → 156
Calls
155 calls:
Slowest
843.0ms
(* (* (* (* e e) e) (* (* (cos v) (cos v)) (cos v))) (* (* (* e e) e) (* (* (cos v) (cos v)) (cos v))))
785.0ms
(/ (* (* e e) e) (/ (* (* (- (* 1 1) (* (* e (cos v)) (* e (cos v)))) (- (* 1 1) (* (* e (cos v)) (* e (cos v))))) (- (* 1 1) (* (* e (cos v)) (* e (cos v))))) (* (* (* (sin v) (sin v)) (sin v)) (* (* (- 1 (* e (cos v))) (- 1 (* e (cos v)))) (- 1 (* e (cos v)))))))
633.0ms
(/ (* (* e e) e) (/ (* (* (- (* 1 1) (* (* e (cos v)) (* e (cos v)))) (- (* 1 1) (* (* e (cos v)) (* e (cos v))))) (- (* 1 1) (* (* e (cos v)) (* e (cos v))))) (* (* (* (sin v) (- 1 (* e (cos v)))) (* (sin v) (- 1 (* e (cos v))))) (* (sin v) (- 1 (* e (cos v)))))))
585.0ms
(/ (* (* e e) e) (* (* (/ (- (* 1 1) (* (* e (cos v)) (* e (cos v)))) (* (sin v) (- 1 (* e (cos v))))) (/ (- (* 1 1) (* (* e (cos v)) (* e (cos v)))) (* (sin v) (- 1 (* e (cos v)))))) (/ (- (* 1 1) (* (* e (cos v)) (* e (cos v)))) (* (sin v) (- 1 (* e (cos v)))))))
555.0ms
(* (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))))

prune1.8s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes171.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch3.0ms

end0.0ms

sample5.8s

Algorithm
intervals
Results
2.5s1508×body1280valid
1.2s1266×body640valid
918.0ms4281×body80valid
425.0ms623×body320valid
336.0ms8000×pre80true
162.0ms322×body160valid