Details

sample145.0ms

Algorithm

intervals

Results

46.0ms	301×	body	80	valid
41.0ms	99×	body	1280	valid
24.0ms	88×	body	640	valid
6.0ms	28×	body	320	valid
3.0ms	13×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	30	7
3	67	7
4	139	7
5	271	7
6	828	7
7	4211	7
done	5000	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cos x) (/ (sinh y) y))
0.0b	(/ (sinh y) y)
0.0b	(sinh y)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`expm1-log1p-u` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 74

Calls

3 calls:

44.0ms	(* (cos x) (/ (sinh y) y))
15.0ms	(/ (sinh y) y)
3.0ms	(sinh y)

series338.0ms

Counts

3 → 9

Calls

3 calls:

146.0ms	(* (cos x) (/ (sinh y) y))
99.0ms	(/ (sinh y) y)
93.0ms	(sinh y)

simplify1.2s

Counts

83 → 83

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	144	762
1	355	718
2	1760	652
done	5001	647

prune284.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (cos x) (/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `expm1-log1p-u` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

35.0ms

(* (cos x) (/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y))

series336.0ms

Counts

1 → 3

Calls

1 calls:

336.0ms

(* (cos x) (/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y))

simplify1.1s

Counts

37 → 37

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	94	789
1	244	769
2	1399	669
done	5001	664

prune151.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (cos x) (sinh y))
0.1b	(/ (* (cos x) (sinh y)) y)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
3×	`expm1-log1p-u` `sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

3 → 55

Calls

3 calls:

3.0ms	(sinh y)
15.0ms	(* (cos x) (sinh y))
15.0ms	(/ (* (cos x) (sinh y)) y)

series363.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(sinh y)
111.0ms	(* (cos x) (sinh y))
156.0ms	(/ (* (cos x) (sinh y)) y)

simplify1.0s

Counts

64 → 64

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	119	566
1	290	540
2	1598	475
done	5002	473

prune227.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	16
1	14	16
done	14	16

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.0s	2861×	body	1280	valid
1.3s	2571×	body	640	valid
632.0ms	8298×	body	80	valid
272.0ms	1234×	body	320	valid
82.0ms	626×	body	160	valid