Details

sample237.0ms

Algorithm

intervals

Results

64.0ms	51×	body	1280	valid
46.0ms	8×	body	160	valid
26.0ms	145×	body	80	valid
24.0ms	30×	body	640	valid
14.0ms	256×	pre	80	true
13.0ms	22×	body	320	valid

simplify77.0ms

Calls

1 calls:

Slowest

76.0ms

(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize27.0ms

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))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
5×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-/r*` `times-frac` `insert-posit16` `add-log-exp`
2×	`associate-/r/` `*-commutative`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `associate-/l*`

Calls

3 calls:

Slowest

5.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
3.0ms	(* e (sin v))
1.0ms	(* e (cos v))

series224.0ms

Calls

3 calls:

Slowest

111.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
64.0ms	(* e (sin v))
48.0ms	(* e (cos v))

simplify1.5s

Calls

28 calls:

Slowest

356.0ms	(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
233.0ms	(+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v)))))
229.0ms	(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
222.0ms	(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
180.0ms	(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))

prune524.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `*-commutative` `insert-posit16` `add-log-exp`

Calls

4 calls:

Slowest

3.0ms	(* e (cos v))
3.0ms	(* e (cos v))
2.0ms	(* e (cos v))
1.0ms	(* e (sin v))

series157.0ms

Calls

4 calls:

Slowest

48.0ms	(* e (cos v))
39.0ms	(* e (sin v))
39.0ms	(* e (cos v))
31.0ms	(* e (cos v))

simplify83.0ms

Calls

24 calls:

Slowest

7.0ms	(* e (cos v))
6.0ms	(* e (cos v))
6.0ms	(* e (cos v))
6.0ms	(* e (cos v))
6.0ms	(* e (sin v))

prune640.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
16×	`associate-/r*`
5×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-r` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`cbrt-undiv` `flip3-+` `div-exp` `associate-/r/` `*-commutative` `flip-+`

Calls

3 calls:

Slowest

7.0ms	(/ (+ 1 (* e (cos v))) (sin v))
1.0ms	(* e (cos v))
1.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

series184.0ms

Calls

3 calls:

Slowest

83.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))
70.0ms	(/ (+ 1 (* e (cos v))) (sin v))
31.0ms	(* e (cos v))

simplify2.2s

Calls

53 calls:

Slowest

419.0ms	(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
355.0ms	(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
211.0ms	(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
162.0ms	(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
94.0ms	(+ (pow 1 3) (pow (* e (cos v)) 3))

prune852.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r` `associate-l`
5×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`associate-/r/`
3×	`associate-/r*` `insert-posit16` `add-log-exp`
2×	`flip3-+` `*-commutative` `flip-+` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`

Calls

3 calls:

Slowest

4.0ms	(* (/ e (+ 1 (* e (cos v)))) (sin v))
1.0ms	(* e (cos v))
1.0ms	(/ e (+ 1 (* e (cos v))))

series194.0ms

Calls

3 calls:

Slowest

86.0ms	(* (/ e (+ 1 (* e (cos v)))) (sin v))
62.0ms	(/ e (+ 1 (* e (cos v))))
46.0ms	(* e (cos v))

simplify2.1s

Calls

28 calls:

Slowest

358.0ms	(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
238.0ms	(+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v)))))
229.0ms	(* (* (* (/ e (+ 1 (* e (cos v)))) (/ e (+ 1 (* e (cos v))))) (/ e (+ 1 (* e (cos v))))) (* (* (sin v) (sin v)) (sin v)))
219.0ms	(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
208.0ms	(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))

prune561.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes145.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.3s	1492×	body	1280	valid
1.2s	1229×	body	640	valid
953.0ms	4337×	body	80	valid
864.0ms	656×	body	320	valid
394.0ms	8000×	pre	80	true
133.0ms	286×	body	160	valid