Details

sample399.0ms

Algorithm

intervals

Results

131.0ms	68×	body	640	valid
97.0ms	90×	body	1280	valid
18.0ms	24×	body	320	valid
13.0ms	60×	body	80	valid
6.0ms	14×	body	160	valid

simplify129.0ms

Counts: 1 → 1

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.9b

localize43.0ms

Local error

Found 3 expressions with local error:

2.7b	(cos (+ a b))
0.2b	(/ (sin b) (cos (+ a b)))
0.2b	(* r (/ (sin b) (cos (+ a b))))

rewrite72.0ms

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

37.0ms	(cos (+ a b))
20.0ms	(/ (sin b) (cos (+ a b)))
13.0ms	(* r (/ (sin b) (cos (+ a b))))

series383.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

162.0ms	(/ (sin b) (cos (+ a b)))
138.0ms	(* r (/ (sin b) (cos (+ a b))))
83.0ms	(cos (+ a b))

simplify899.0ms

Counts: 79 → 79

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize43.0ms

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)))

rewrite167.0ms

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

103.0ms	(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
27.0ms	(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
23.0ms	(- (* (cos a) (cos b)) (* (sin a) (sin b)))
11.0ms	(* (sin a) (sin b))

series663.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

296.0ms	(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
168.0ms	(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
136.0ms	(- (* (cos a) (cos b)) (* (sin a) (sin b)))
63.0ms	(* (sin a) (sin b))

simplify1.8s

Counts: 116 → 116

prune1.6s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

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

30.0ms	(/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
27.0ms	(- (* (cos a) (cos b)) (* (sin a) (sin b)))
14.0ms	(* (sin b) r)
10.0ms	(* (sin a) (sin b))

series519.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

295.0ms	(/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
119.0ms	(- (* (cos a) (cos b)) (* (sin a) (sin b)))
56.0ms	(* (sin a) (sin b))
47.0ms	(* (sin b) r)

simplify2.2s

Counts: 92 → 92

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (sin b) (/ (- (* (cos a) (cos b)) (* (sin a) (sin b))) r))
0.2b	(/ (- (* (cos a) (cos b)) (* (sin a) (sin b))) r)
0.2b	(* (sin a) (sin b))
0.1b	(- (* (cos a) (cos b)) (* (sin a) (sin b)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 139

Calls

4 calls:

Slowest

32.0ms	(/ (- (* (cos a) (cos b)) (* (sin a) (sin b))) r)
26.0ms	(/ (sin b) (/ (- (* (cos a) (cos b)) (* (sin a) (sin b))) r))
17.0ms	(- (* (cos a) (cos b)) (* (sin a) (sin b)))
17.0ms	(* (sin a) (sin b))

series699.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

366.0ms	(/ (sin b) (/ (- (* (cos a) (cos b)) (* (sin a) (sin b))) r))
160.0ms	(/ (- (* (cos a) (cos b)) (* (sin a) (sin b))) r)
112.0ms	(- (* (cos a) (cos b)) (* (sin a) (sin b)))
60.0ms	(* (sin a) (sin b))

simplify1.0s

Counts: 151 → 151

prune2.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes249.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch2.0ms

end0.0ms

sample7.4s

Algorithm

intervals

Results

4.6s	2903×	body	1280	valid
1.6s	1956×	body	640	valid
432.0ms	756×	body	320	valid
428.0ms	2016×	body	80	valid
133.0ms	370×	body	160	valid