Details

sample494.0ms

Algorithm

intervals

Results

234.0ms	92×	body	1280	valid
52.0ms	53×	body	640	valid
47.0ms	74×	body	80	valid
18.0ms	26×	body	320	valid
5.0ms	11×	body	160	valid

simplify36.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize23.0ms

Local error

Found 3 expressions with local error:

3.5b	(cos (+ a b))
0.2b	(/ (sin b) (cos (+ a b)))
0.2b	(* r (/ (sin b) (cos (+ a b))))

rewrite493.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
3×	`associate-/r` `associate-l` `insert-posit16` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`cos-sum` `clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

3 → 70

Calls

3 calls:

Slowest

446.0ms	(cos (+ a b))
25.0ms	(* r (/ (sin b) (cos (+ a b))))
19.0ms	(/ (sin b) (cos (+ a b)))

series220.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

127.0ms	(* r (/ (sin b) (cos (+ a b))))
55.0ms	(/ (sin b) (cos (+ a b)))
38.0ms	(cos (+ a b))

simplify879.0ms

Counts: 79 → 79

prune907.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
0.2b	(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
0.2b	(* (sin a) (sin b))
0.1b	(- (* (cos a) (cos b)) (* (sin a) (sin b)))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

Slowest

90.0ms	(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
31.0ms	(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
26.0ms	(- (* (cos a) (cos b)) (* (sin a) (sin b)))
11.0ms	(* (sin a) (sin b))

series667.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

304.0ms	(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
188.0ms	(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
124.0ms	(- (* (cos a) (cos b)) (* (sin a) (sin b)))
51.0ms	(* (sin a) (sin b))

simplify1.6s

Counts: 116 → 116

prune1.8s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
0.2b	(* (sin a) (sin b))
0.1b	(* r (sin b))
0.1b	(- (* (cos a) (cos b)) (* (sin a) (sin b)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1`
6×	`associate-r` `associate-l` `add-log-exp`
5×	`sin-mult`
4×	`associate-/r/` `cos-mult` `insert-posit16`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `sub-div` `unswap-sqr`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `div-inv` `associate-/l*`

Counts

4 → 80

Calls

4 calls:

Slowest

36.0ms	(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
23.0ms	(* (sin a) (sin b))
20.0ms	(- (* (cos a) (cos b)) (* (sin a) (sin b)))
17.0ms	(* r (sin b))

series561.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

290.0ms	(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
129.0ms	(- (* (cos a) (cos b)) (* (sin a) (sin b)))
83.0ms	(* (sin a) (sin b))
58.0ms	(* r (sin b))

simplify1.7s

Counts: 92 → 92

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize87.0ms

Local error

Found 4 expressions with local error:

10.1b	(cbrt (* (sin a) (sin b)))
10.1b	(cbrt (* (sin a) (sin b)))
10.1b	(cbrt (* (sin a) (sin b)))
0.5b	(* (cbrt (* (sin a) (sin b))) (cbrt (* (sin a) (sin b))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod` `cbrt-div` `sin-mult`
6×	`add-exp-log`
4×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

Slowest

41.0ms	(* (cbrt (* (sin a) (sin b))) (cbrt (* (sin a) (sin b))))
9.0ms	(cbrt (* (sin a) (sin b)))
5.0ms	(cbrt (* (sin a) (sin b)))
5.0ms	(cbrt (* (sin a) (sin b)))

series639.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

168.0ms	(cbrt (* (sin a) (sin b)))
166.0ms	(cbrt (* (sin a) (sin b)))
161.0ms	(* (cbrt (* (sin a) (sin b))) (cbrt (* (sin a) (sin b))))
144.0ms	(cbrt (* (sin a) (sin b)))

simplify845.0ms

Counts: 80 → 80

prune1.5s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes287.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch4.0ms

end0.0ms

sample7.7s

Algorithm

intervals

Results

4.4s	2981×	body	1280	valid
2.0s	1785×	body	640	valid
501.0ms	779×	body	320	valid
402.0ms	2101×	body	80	valid
131.0ms	357×	body	160	valid