Details

sample139.0ms

Algorithm

intervals

Results

40.0ms	73×	body	640	valid
33.0ms	64×	body	1280	valid
28.0ms	356×	body	80	valid
7.0ms	23×	body	320	valid
2.0ms	13×	body	160	valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	32	7
3	69	7
4	146	7
5	296	7
6	884	7
7	4473	7
done	5000	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
15.6b	(/ (* (sin x) (sinh y)) x)

rewrite62.0ms

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:

1.0ms	(sinh y)
23.0ms	(* (sin x) (sinh y))
37.0ms	(/ (* (sin x) (sinh y)) x)

series396.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(sinh y)
138.0ms	(* (sin x) (sinh y))
154.0ms	(/ (* (sin x) (sinh y)) x)

simplify913.0ms

Counts

64 → 64

Iterations

Useful iterations: done (911.0ms)

Iter	Nodes	Cost
0	123	572
1	302	546
2	1572	486
done	5002	481

prune221.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (sinh y))
0.0b	(sinh y)
0.6b	(/ (sin x) (/ x (sinh y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 116

Calls

3 calls:

7.0ms	(/ x (sinh y))
3.0ms	(sinh y)
24.0ms	(/ (sin x) (/ x (sinh y)))

series435.0ms

Counts

3 → 9

Calls

3 calls:

162.0ms	(/ x (sinh y))
88.0ms	(sinh y)
185.0ms	(/ (sin x) (/ x (sinh y)))

simplify1.3s

Counts

125 → 125

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	221	1576
1	552	1501
2	2730	1415
done	5000	1413

prune456.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

1.0ms	(sinh y)
20.0ms	(* (/ (sin x) x) (sinh y))
10.0ms	(/ (sin x) x)

series273.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(sinh y)
162.0ms	(* (/ (sin x) x) (sinh y))
38.0ms	(/ (sin x) x)

simplify1.1s

Counts

84 → 84

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	140	748
1	337	723
2	1449	654
done	5000	650

prune289.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (/ (sin x) x) (sinh y))) (cbrt (* (/ (sin x) x) (sinh y))))
13.9b	(cbrt (* (/ (sin x) x) (sinh y)))
13.9b	(cbrt (* (/ (sin x) x) (sinh y)))
13.9b	(cbrt (* (/ (sin x) x) (sinh y)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-div`
22×	`sinh-def`
20×	`frac-times`
14×	`associate-r/` `associate-l/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

28.0ms	(* (cbrt (* (/ (sin x) x) (sinh y))) (cbrt (* (/ (sin x) x) (sinh y))))
8.0ms	(cbrt (* (/ (sin x) x) (sinh y)))
8.0ms	(cbrt (* (/ (sin x) x) (sinh y)))
14.0ms	(cbrt (* (/ (sin x) x) (sinh y)))

series1.5s

Counts

4 → 12

Calls

4 calls:

390.0ms	(* (cbrt (* (/ (sin x) x) (sinh y))) (cbrt (* (/ (sin x) x) (sinh y))))
351.0ms	(cbrt (* (/ (sin x) x) (sinh y)))
373.0ms	(cbrt (* (/ (sin x) x) (sinh y)))
337.0ms	(cbrt (* (/ (sin x) x) (sinh y)))

simplify1.0s

Counts

102 → 102

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	157	1710
1	390	1584
2	1417	1447
done	5001	1358

prune424.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.2s	1743×	body	1280	valid
776.0ms	10134×	body	80	valid
753.0ms	1992×	body	640	valid
262.0ms	1116×	body	320	valid
111.0ms	605×	body	160	valid