Details

sample255.0ms

Algorithm

intervals

Results

86.0ms	43×	body	640	valid
40.0ms	34×	body	1280	valid
26.0ms	145×	body	80	valid
17.0ms	256×	pre	80	true
12.0ms	22×	body	320	valid
4.0ms	12×	body	160	valid

simplify70.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

69.0ms

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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))))

rewrite42.0ms

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×	`expm1-log1p-u` `associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `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 → 68

Calls

3 calls:

Slowest

21.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
11.0ms	(* e (sin v))
8.0ms	(* e (cos v))

series240.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

127.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
65.0ms	(* e (cos v))
47.0ms	(* e (sin v))

simplify2.7s

Counts

44 → 77

Calls

44 calls:

Slowest

541.0ms	(+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v)))))
342.0ms	(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
294.0ms	(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
284.0ms	(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
241.0ms	(/ (* (* (* e e) e) (* (* (sin v) (sin v)) (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))

prune753.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

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×	`expm1-log1p-u` `pow-sqr` `*-commutative` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 100

Calls

4 calls:

Slowest

56.0ms	(* (* e (cos v)) (* e (cos v)))
24.0ms	(* e (sin v))
8.0ms	(* e (cos v))
8.0ms	(* e (cos v))

series250.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

93.0ms	(* (* e (cos v)) (* e (cos v)))
63.0ms	(* e (sin v))
49.0ms	(* e (cos v))
45.0ms	(* e (cos v))

simplify3.5s

Counts

75 → 112

Calls

75 calls:

Slowest

784.0ms	(* (* (* (* e e) e) (* (* (cos v) (cos v)) (cos v))) (* (* (* e e) e) (* (* (cos v) (cos v)) (cos v))))
662.0ms	(* (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))))
309.0ms	(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
270.0ms	(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
270.0ms	(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

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))

rewrite46.0ms

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×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `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 → 126

Calls

3 calls:

Slowest

21.0ms	(/ (+ 1 (* e (cos v))) (sin v))
14.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))
8.0ms	(* e (cos v))

series248.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

116.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))
80.0ms	(/ (+ 1 (* e (cos v))) (sin v))
52.0ms	(* e (cos v))

simplify9.0s

Counts

144 → 135

Calls

144 calls:

Slowest

1.0s	(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
769.0ms	(/ (* (* e e) e) (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))))
332.0ms	(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
321.0ms	(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt (sin v)) (cbrt (sin v)))))
280.0ms	(+ (pow 1 3) (pow (* e (cos v)) 3))

prune1.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

1566×	`times-frac`
742×	`add-sqr-sqrt`
740×	`*-un-lft-identity` `add-cube-cbrt`
564×	`sqrt-prod`
91×	`associate-/r*`
59×	`div-inv`
22×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
10×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `associate-l` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 768

Calls

4 calls:

Slowest

53.0ms	(/ (/ (+ 1 (* e (cos v))) (sin v)) (sqrt e))
28.0ms	(/ (sqrt e) (/ (/ (+ 1 (* e (cos v))) (sin v)) (sqrt e)))
24.0ms	(/ (+ 1 (* e (cos v))) (sin v))
15.0ms	(* e (cos v))

series470.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

167.0ms	(/ (/ (+ 1 (* e (cos v))) (sin v)) (sqrt e))
144.0ms	(/ (sqrt e) (/ (/ (+ 1 (* e (cos v))) (sin v)) (sqrt e)))
98.0ms	(/ (+ 1 (* e (cos v))) (sin v))
60.0ms	(* e (cos v))

simplify2.2m

Counts

1306 → 780

Calls

1306 calls:

Slowest

749.0ms	(/ (sqrt 1) (/ (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (sqrt (sin v))) (sqrt (sqrt e))))
698.0ms	(/ (sqrt (sqrt e)) (/ (/ 1 (* (cbrt (sin v)) (cbrt (sin v)))) (* (cbrt (sqrt e)) (cbrt (sqrt e)))))
695.0ms	(/ (sqrt (sqrt e)) (/ (/ 1 (* (cbrt (sin v)) (cbrt (sin v)))) (* (cbrt (sqrt e)) (cbrt (sqrt e)))))
654.0ms	(/ (sqrt (* (cbrt e) (cbrt e))) (/ (/ 1 (* (cbrt (sin v)) (cbrt (sin v)))) (* (cbrt (sqrt e)) (cbrt (sqrt e)))))
553.0ms	(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))

prune10.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes209.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample5.4s

Algorithm

intervals

Results

1.9s	1499×	body	1280	valid
1.1s	1194×	body	640	valid
849.0ms	637×	body	320	valid
828.0ms	4343×	body	80	valid
312.0ms	8000×	pre	80	true
115.0ms	327×	body	160	valid