Details

sample294.0ms

Algorithm

intervals

Results

87.0ms	148×	body	80	valid
58.0ms	41×	body	1280	valid
30.0ms	32×	body	640	valid
15.0ms	25×	body	320	valid
13.0ms	256×	pre	80	true
5.0ms	10×	body	160	valid

simplify165.0ms

Counts: 1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize115.0ms

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))))

rewrite65.0ms

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

25.0ms	(* e (sin v))
24.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
13.0ms	(* e (cos v))

series241.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

124.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
68.0ms	(* e (sin v))
49.0ms	(* e (cos v))

simplify1.3s

Counts: 71 → 71

prune712.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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))))

rewrite48.0ms

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/`

Counts

3 → 84

Calls

3 calls:

Slowest

20.0ms	(/ (sin v) (+ 1 (* e (cos v))))
15.0ms	(* e (/ (sin v) (+ 1 (* e (cos v)))))
11.0ms	(* e (cos v))

series293.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

145.0ms	(* e (/ (sin v) (+ 1 (* e (cos v)))))
81.0ms	(/ (sin v) (+ 1 (* e (cos v))))
67.0ms	(* e (cos v))

simplify1.2s

Counts: 93 → 93

prune998.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

141×	`pow1`
65×	`pow-prod-down`
58×	`add-cbrt-cube` `add-exp-log`
38×	`prod-exp` `cbrt-unprod`
30×	`pow-prod-up`
13×	`add-sqr-sqrt`
10×	`associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r` `pow-sqr`
7×	`associate-*r/`
4×	`distribute-rgt-in` `distribute-lft-in` `pow-plus` `*-commutative` `insert-posit16` `add-log-exp`
2×	`pow2` `frac-times` `flip3-+` `flip-+` `unswap-sqr`
1×	`cbrt-undiv` `cube-unmult` `div-exp` `associate-*l/`

Counts

4 → 132

Calls

4 calls:

Slowest

171.0ms	(* e (* (/ (sin v) (+ 1 (* (* (cos v) e) (* (* (cos v) e) (* (cos v) e))))) (+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v)))))))
86.0ms	(* (* (cos v) e) (* (* (cos v) e) (* (cos v) e)))
15.0ms	(* (cos v) e)
15.0ms	(* (cos v) e)

series519.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

219.0ms	(* e (* (/ (sin v) (+ 1 (* (* (cos v) e) (* (* (cos v) e) (* (cos v) e))))) (+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v)))))))
166.0ms	(* (* (cos v) e) (* (* (cos v) e) (* (cos v) e)))
69.0ms	(* (cos v) e)
65.0ms	(* (cos v) e)

simplify1.1s

Counts: 144 → 144

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite55.0ms

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

28.0ms	(/ (+ 1 (* e (cos v))) (sin v))
19.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))
7.0ms	(* e (cos v))

series253.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

119.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))
89.0ms	(/ (+ 1 (* e (cos v))) (sin v))
44.0ms	(* e (cos v))

simplify562.0ms

Counts: 129 → 129

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes133.0ms

Accuracy

0% (0.1b remaining)

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

bsearch8.0ms

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.6s	1563×	body	1280	valid
1.1s	1203×	body	640	valid
1.0s	4269×	body	80	valid
511.0ms	8000×	pre	80	true
394.0ms	663×	body	320	valid
149.0ms	302×	body	160	valid