Details

sample338.0ms

Algorithm

intervals

Results

110.0ms	102×	body	1280	valid
78.0ms	62×	body	640	valid
19.0ms	35×	body	320	valid
11.0ms	51×	body	80	valid
6.0ms	6×	body	160	valid

simplify69.0ms

Counts: 1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.9b

localize56.0ms

Local error

Found 3 expressions with local error:

5.7b	(cos (+ a b))
0.2b	(/ (sin b) (cos (+ a b)))
0.2b	(* r (/ (sin b) (cos (+ a b))))

rewrite70.0ms

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×	`expm1-log1p-u` `associate-/r` `associate-l` `insert-posit16` `log1p-expm1-u` `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 → 76

Calls

3 calls:

Slowest

27.0ms	(* r (/ (sin b) (cos (+ a b))))
20.0ms	(cos (+ a b))
19.0ms	(/ (sin b) (cos (+ a b)))

series264.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

176.0ms	(* r (/ (sin b) (cos (+ a b))))
54.0ms	(/ (sin b) (cos (+ a b)))
34.0ms	(cos (+ a b))

simplify1.0s

Counts: 85 → 85

prune947.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite207.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
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` `fma-neg` `diff-log` `prod-diff` `associate-*r/`

Counts

4 → 114

Calls

4 calls:

Slowest

139.0ms	(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
26.0ms	(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
25.0ms	(- (* (cos a) (cos b)) (* (sin a) (sin b)))
15.0ms	(* (sin a) (sin b))

series685.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

304.0ms	(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
170.0ms	(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
142.0ms	(- (* (cos a) (cos b)) (* (sin a) (sin b)))
69.0ms	(* (sin a) (sin b))

simplify2.0s

Counts: 126 → 126

prune1.6s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 4 expressions with local error:

55.3b	(fma (- (sin b)) (sin a) (* (sin b) (sin a)))
0.2b	(* (sin b) (sin a))
0.2b	(* (sin b) (sin a))
0.2b	(* r (/ (sin b) (+ (fma (cos a) (cos b) (- (* (sin b) (sin a)))) (fma (- (sin b)) (sin a) (* (sin b) (sin a))))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`associate-r`
23×	`*-un-lft-identity`
17×	`add-cube-cbrt`
13×	`times-frac` `add-cbrt-cube` `add-exp-log`
10×	`pow1`
9×	`associate-l`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `*-commutative` `distribute-lft-out`
2×	`associate-/r/` `sin-mult`
1×	`cbrt-undiv` `flip3-+` `div-exp` `associate-*r/` `flip-+` `fma-udef` `div-inv`

Counts

4 → 95

Calls

4 calls:

Slowest

24.0ms	(* r (/ (sin b) (+ (fma (cos a) (cos b) (- (* (sin b) (sin a)))) (fma (- (sin b)) (sin a) (* (sin b) (sin a))))))
22.0ms	(* (sin b) (sin a))
21.0ms	(* (sin b) (sin a))
1.0ms	(fma (- (sin b)) (sin a) (* (sin b) (sin a)))

series726.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

509.0ms	(* r (/ (sin b) (+ (fma (cos a) (cos b) (- (* (sin b) (sin a)))) (fma (- (sin b)) (sin a) (* (sin b) (sin a))))))
90.0ms	(* (sin b) (sin a))
64.0ms	(fma (- (sin b)) (sin a) (* (sin b) (sin a)))
63.0ms	(* (sin b) (sin a))

simplify2.2s

Counts: 107 → 107

prune1.8s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

55.3b	(fma (- (sin b)) (sin a) (* (sin b) (sin a)))
0.3b	(/ (* r (sin b)) (+ (fma (cos a) (cos b) (- (* (sin b) (sin a)))) (fma (- (sin b)) (sin a) (* (sin b) (sin a)))))
0.2b	(* (sin b) (sin a))
0.2b	(* (sin b) (sin a))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`add-cbrt-cube` `add-exp-log`
10×	`add-cube-cbrt`
8×	`pow1`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `associate-/r*` `times-frac` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `sin-mult` `distribute-lft-out` `unswap-sqr`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `fma-udef` `div-inv` `associate-/l*`

Counts

4 → 83

Calls

4 calls:

Slowest

25.0ms	(/ (* r (sin b)) (+ (fma (cos a) (cos b) (- (* (sin b) (sin a)))) (fma (- (sin b)) (sin a) (* (sin b) (sin a)))))
22.0ms	(* (sin b) (sin a))
22.0ms	(* (sin b) (sin a))
0.0ms	(fma (- (sin b)) (sin a) (* (sin b) (sin a)))

series738.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

503.0ms	(/ (* r (sin b)) (+ (fma (cos a) (cos b) (- (* (sin b) (sin a)))) (fma (- (sin b)) (sin a) (* (sin b) (sin a)))))
89.0ms	(* (sin b) (sin a))
80.0ms	(fma (- (sin b)) (sin a) (* (sin b) (sin a)))
65.0ms	(* (sin b) (sin a))

simplify2.0s

Counts: 95 → 95

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes341.0ms

Accuracy

0% (0.3b remaining)

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

bsearch5.0ms

end0.0ms

sample7.1s

Algorithm

intervals

Results

4.1s	2921×	body	1280	valid
1.7s	1789×	body	640	valid
485.0ms	759×	body	320	valid
397.0ms	2168×	body	80	valid
165.0ms	367×	body	160	valid