Details

sample608.0ms

Algorithm

intervals

Results

65.0ms	52×	body	1280	valid
40.0ms	41×	body	640	valid
34.0ms	143×	body	80	valid
15.0ms	256×	pre	80	true
6.0ms	10×	body	320	valid
6.0ms	10×	body	160	valid

simplify143.0ms

Counts: 1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize54.0ms

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))))

rewrite75.0ms

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

30.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
21.0ms	(* e (sin v))
21.0ms	(* e (cos v))

series267.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

134.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
86.0ms	(* e (sin v))
47.0ms	(* e (cos v))

simplify468.0ms

Counts: 75 → 71

prune696.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite80.0ms

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

40.0ms	(/ (+ 1 (* e (cos v))) (sin v))
23.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))
14.0ms	(* e (cos v))

series252.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

109.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))
99.0ms	(/ (+ 1 (* e (cos v))) (sin v))
44.0ms	(* e (cos v))

simplify749.0ms

Counts: 179 → 129

prune1.3s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

Slowest

36.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
34.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
20.0ms	(* e (cos v))
10.0ms	(* (sqrt e) (sin v))

series383.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

124.0ms	(* (sqrt e) (sin v))
113.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
77.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
69.0ms	(* e (cos v))

simplify735.0ms

Counts: 106 → 102

prune1.1s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))
0.3b	(* (sqrt (sqrt e)) (sin v))
0.2b	(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
0.2b	(sqrt (sqrt e))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

34×	`sqrt-prod`
24×	`associate-l`
23×	`add-sqr-sqrt`
22×	`pow1`
20×	`add-cbrt-cube` `add-exp-log`
15×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r`
4×	`sqrt-pow1` `insert-posit16` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 97

Calls

4 calls:

Slowest

74.0ms	(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
55.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))
11.0ms	(* (sqrt (sqrt e)) (sin v))
3.0ms	(sqrt (sqrt e))

series544.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

213.0ms	(sqrt (sqrt e))
157.0ms	(* (sqrt (sqrt e)) (sin v))
94.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))
79.0ms	(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))

simplify503.0ms

Counts: 112 → 109

prune1.3s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes242.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.1s	1514×	body	1280	valid
1.6s	1247×	body	640	valid
1.3s	4291×	body	80	valid
371.0ms	622×	body	320	valid
323.0ms	8000×	pre	80	true
167.0ms	326×	body	160	valid