Details

Time bar (total: 34.6s)

sample235.0ms

Algorithm
intervals
Results
70.0ms40×body640valid
55.0ms44×body1280valid
28.0ms141×body80valid
15.0ms256×pre80true
15.0ms21×body320valid
5.0ms10×body160valid

simplify122.0ms

Calls
1 calls:
Slowest
121.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

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))))

rewrite64.0ms

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*
Calls
3 calls:
Slowest
28.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
19.0ms
(* e (sin v))
14.0ms
(* e (cos v))

series257.0ms

Calls
3 calls:
Slowest
121.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
72.0ms
(* e (sin v))
64.0ms
(* e (cos v))

simplify2.6s

Calls
44 calls:
Slowest
337.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
320.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
300.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
268.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
267.0ms
(+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v)))))

prune655.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
19×times-frac
18×associate-*r*
12×add-cbrt-cube add-exp-log
7×pow1
6×associate-*l*
4×associate-/r/
3×associate-/r* prod-exp cbrt-unprod insert-posit16 associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv flip3-+ div-exp pow-prod-down *-commutative flip-+ div-inv
1×clear-num frac-2neg associate-*r/
Calls
3 calls:
Slowest
18.0ms
(* e (/ (sin v) (+ 1 (* e (cos v)))))
17.0ms
(/ (sin v) (+ 1 (* e (cos v))))
11.0ms
(* e (cos v))

series233.0ms

Calls
3 calls:
Slowest
106.0ms
(* e (/ (sin v) (+ 1 (* e (cos v)))))
79.0ms
(/ (sin v) (+ 1 (* e (cos v))))
47.0ms
(* e (cos v))

simplify4.7s

Calls
73 calls:
Slowest
374.0ms
(/ (* (* (sin v) (sin v)) (sin v)) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
366.0ms
(- (+ (/ (sin v) (* (pow e 3) (pow (cos v) 3))) (/ (sin v) (* e (cos v)))) (/ (sin v) (* (pow e 2) (pow (cos v) 2))))
342.0ms
(- (+ (/ (sin v) (* (pow e 3) (pow (cos v) 3))) (/ (sin v) (* e (cos v)))) (/ (sin v) (* (pow e 2) (pow (cos v) 2))))
327.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
320.0ms
(* (* (* e e) e) (* (* (/ (sin v) (+ 1 (* e (cos v)))) (/ (sin v) (+ 1 (* e (cos v))))) (/ (sin v) (+ 1 (* e (cos v))))))

prune922.0ms

Pruning

8 alts after pruning (7 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)))
0.1b
(/ (+ 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
Calls
3 calls:
Slowest
26.0ms
(/ (+ 1 (* e (cos v))) (sin v))
19.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
10.0ms
(* e (cos v))

series256.0ms

Calls
3 calls:
Slowest
124.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
91.0ms
(/ (+ 1 (* e (cos v))) (sin v))
41.0ms
(* e (cos v))

simplify8.7s

Calls
144 calls:
Slowest
726.0ms
(/ (* (* e e) e) (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))))
616.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
527.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
382.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
340.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt (sin v)) (cbrt (sin v)))))

prune1.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
25×*-un-lft-identity add-cube-cbrt
22×add-cbrt-cube add-exp-log
20×times-frac
19×associate-*r*
15×associate-*l*
13×pow1
8×prod-exp sqrt-prod cbrt-unprod
5×pow-prod-down unswap-sqr
4×associate-/r/ insert-posit16 add-log-exp
3×cbrt-undiv associate-/r* div-exp associate-*r/ *-commutative associate-/l*
2×flip3-+ flip-+ div-inv
1×clear-num frac-2neg
Calls
4 calls:
Slowest
58.0ms
(* (sqrt e) (* (sqrt e) (/ (sin v) (+ 1 (* e (cos v))))))
40.0ms
(* (sqrt e) (/ (sin v) (+ 1 (* e (cos v)))))
21.0ms
(/ (sin v) (+ 1 (* e (cos v))))
15.0ms
(* e (cos v))

series448.0ms

Calls
4 calls:
Slowest
187.0ms
(* (sqrt e) (/ (sin v) (+ 1 (* e (cos v)))))
128.0ms
(* (sqrt e) (* (sqrt e) (/ (sin v) (+ 1 (* e (cos v))))))
81.0ms
(/ (sin v) (+ 1 (* e (cos v))))
53.0ms
(* e (cos v))

simplify6.4s

Calls
98 calls:
Slowest
401.0ms
(- (+ (/ (sin v) (* (pow e 3) (pow (cos v) 3))) (/ (sin v) (* e (cos v)))) (/ (sin v) (* (pow e 2) (pow (cos v) 2))))
367.0ms
(- (+ (/ (sin v) (* (pow e 3) (pow (cos v) 3))) (/ (sin v) (* e (cos v)))) (/ (sin v) (* (pow e 2) (pow (cos v) 2))))
366.0ms
(/ (* (* (sin v) (sin v)) (sin v)) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
360.0ms
(* (* (* (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)))))))
359.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))

prune1.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes131.0ms

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
2.3s1502×body1280valid
1.2s1332×body640valid
1.1s4255×body80valid
378.0ms606×body320valid
330.0ms8000×pre80true
189.0ms305×body160valid