Details

Time bar (total: 3.3m)

sample267.0ms

Algorithm
intervals
Results
49.0ms44×body1280valid
30.0ms38×body640valid
27.0ms145×body80valid
12.0ms23×body320valid
12.0ms256×pre80true
3.0ms6×body160valid

simplify91.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
91.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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))))

rewrite78.0ms

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
31.0ms
(* e (sin v))
27.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
16.0ms
(* e (cos v))

series252.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
132.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
61.0ms
(* e (cos v))
59.0ms
(* e (sin v))

simplify2.8s

Counts
44 → 71
Calls
44 calls:
Slowest
377.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
328.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
308.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
304.0ms
(+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v)))))
303.0ms
(/ (* (* (* e e) e) (* (* (sin v) (sin v)) (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))

prune709.0ms

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 (cos v)) (* e (cos v)))
0.1b
(* e (sin v))
0.1b
(* e (cos v))
0.1b
(* e (cos v))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
49×pow1
22×add-cbrt-cube add-exp-log
20×pow-prod-down
16×add-sqr-sqrt
11×prod-exp cbrt-unprod
10×*-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
4×pow-sqr *-commutative pow-prod-up insert-posit16 add-log-exp
3×unswap-sqr
2×pow-plus
1×pow2 swap-sqr
Counts
4 → 92
Calls
4 calls:
Slowest
57.0ms
(* (* e (cos v)) (* e (cos v)))
13.0ms
(* e (sin v))
7.0ms
(* e (cos v))
7.0ms
(* e (cos v))

series239.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
70.0ms
(* (* e (cos v)) (* e (cos v)))
65.0ms
(* e (sin v))
58.0ms
(* e (cos v))
47.0ms
(* e (cos v))

simplify3.3s

Counts
75 → 104
Calls
75 calls:
Slowest
773.0ms
(* (* (* (* e e) e) (* (* (cos v) (cos v)) (cos v))) (* (* (* e e) e) (* (* (cos v) (cos v)) (cos v))))
616.0ms
(* (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))))
273.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
260.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
232.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

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))

rewrite61.0ms

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
33.0ms
(/ (+ 1 (* e (cos v))) (sin v))
18.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
7.0ms
(* e (cos v))

series236.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
103.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
84.0ms
(/ (+ 1 (* e (cos v))) (sin v))
49.0ms
(* e (cos v))

simplify8.1s

Counts
144 → 129
Calls
144 calls:
Slowest
580.0ms
(/ (* (* e e) e) (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))))
536.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
399.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt (sin v)) (cbrt (sin v)))))
340.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
322.0ms
(+ (pow 1 3) (pow (* e (cos v)) 3))

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
1725×times-frac
811×add-sqr-sqrt
807×*-un-lft-identity add-cube-cbrt
642×sqrt-prod
173×associate-/r*
68×associate-/r/
64×sqrt-div
37×div-inv
32×flip3-+ flip-+
22×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp associate-/l*
8×pow1
6×associate-*r* associate-*l*
4×insert-posit16 add-log-exp
2×clear-num frac-2neg pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr associate-/l/
Counts
4 → 847
Calls
4 calls:
Slowest
20.0ms
(/ (sqrt (+ 1 (* e (cos v)))) (/ (sin v) (sqrt (+ 1 (* e (cos v))))))
19.0ms
(* e (cos v))
15.0ms
(/ e (/ (sqrt (+ 1 (* e (cos v)))) (/ (sin v) (sqrt (+ 1 (* e (cos v)))))))
14.0ms
(* e (cos v))

series338.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
141.0ms
(/ e (/ (sqrt (+ 1 (* e (cos v)))) (/ (sin v) (sqrt (+ 1 (* e (cos v)))))))
84.0ms
(/ (sqrt (+ 1 (* e (cos v)))) (/ (sin v) (sqrt (+ 1 (* e (cos v))))))
67.0ms
(* e (cos v))
46.0ms
(* e (cos v))

simplify2.7m

Counts
1408 → 859
Calls
1408 calls:
Slowest
837.0ms
(/ 1 (/ (* (cbrt (sqrt (+ 1 (* e (cos v))))) (cbrt (sqrt (+ 1 (* e (cos v)))))) (/ (* (cbrt (sin v)) (cbrt (sin v))) (sqrt (sqrt (+ 1 (* e (cos v))))))))
796.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (sqrt (+ 1 (* e (cos v))))) (cbrt (sqrt (+ 1 (* e (cos v)))))) (/ (sqrt (sin v)) 1)))
754.0ms
(/ (* (cbrt e) (cbrt e)) (/ 1 (/ (sqrt (sin v)) (* (cbrt (sqrt (+ 1 (* e (cos v))))) (cbrt (sqrt (+ 1 (* e (cos v)))))))))
646.0ms
(/ (* (cbrt e) (cbrt e)) (/ (sqrt (sqrt (+ 1 (* e (cos v))))) (/ 1 (* (cbrt (sqrt (+ 1 (* e (cos v))))) (cbrt (sqrt (+ 1 (* e (cos v)))))))))
598.0ms
(/ (* (cbrt e) (cbrt e)) (/ (sqrt (sqrt (+ 1 (* e (cos v))))) (/ 1 (* (cbrt (sqrt (+ 1 (* e (cos v))))) (cbrt (sqrt (+ 1 (* e (cos v)))))))))

prune11.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes148.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample5.9s

Algorithm
intervals
Results
2.1s1479×body1280valid
1.2s4274×body80valid
1.2s1246×body640valid
668.0ms8000×pre80true
434.0ms687×body320valid
122.0ms314×body160valid