Details

sample99.0ms

Algorithm

intervals

Results

37.0ms	105×	body	1280	valid
19.0ms	86×	body	640	valid
14.0ms	256×	body	80	valid
7.0ms	46×	body	320	valid
2.0ms	18×	body	160	valid

simplify12.6s

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	135	7
5	256	7
6	460	7
7	977	7
8	1864	7
9	3263	7
10	4445	7
done	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

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×	`associate-l` `associate-/r` `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 → 68

Calls

3 calls:

22.0ms	(* (sin x) (/ (sinh y) y))
7.0ms	(/ (sinh y) y)
1.0ms	(sinh y)

series318.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(* (sin x) (/ (sinh y) y))
127.0ms	(/ (sinh y) y)
67.0ms	(sinh y)

simplify2.9s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	140	732
1	322	689
2	1031	623
3	3546	621
done	5000	621

prune275.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

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×	`associate-r` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 68

Calls

3 calls:

31.0ms	(* (/ (sinh y) y) (sin x))
8.0ms	(/ (sinh y) y)
1.0ms	(sinh y)

series361.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(* (/ (sinh y) y) (sin x))
156.0ms	(/ (sinh y) y)
85.0ms	(sinh y)

simplify2.4s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	141	715
1	328	684
2	921	616
3	3052	614
done	5000	614

prune313.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))
0.0b	(/ (sinh y) y)
0.0b	(/ (sinh y) y)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

80×	`add-sqr-sqrt`
66×	`sqrt-prod`
60×	`times-frac`
52×	`add-cube-cbrt` `*-un-lft-identity`
19×	`pow1`
18×	`swap-sqr`
16×	`associate-r` `associate-l`
10×	`add-exp-log` `add-cbrt-cube`
9×	`unswap-sqr`
8×	`sqrt-pow1` `pow1/2`
6×	`associate-/r` `div-inv` `associate-/l`
5×	`pow-prod-up`
4×	`sqrt-div` `add-log-exp`
3×	`sinh-def` `pow-prod-down` `pow-sqr`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `associate-/l/`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 151

Calls

4 calls:

3.0ms	(sinh y)
70.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))
14.0ms	(/ (sinh y) y)
14.0ms	(/ (sinh y) y)

series510.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(sinh y)
120.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))
133.0ms	(/ (sinh y) y)
151.0ms	(/ (sinh y) y)

simplify1.4s

Counts

163 → 163

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	246	2244
1	505	1629
2	1734	1515
done	5000	1480

prune727.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sinh y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
1×	`sinh-def` `cbrt-div`

Counts

4 → 45

Calls

4 calls:

3.0ms	(cbrt (sinh y))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

219.0ms	(cbrt (sinh y))
353.0ms	(cbrt y)
300.0ms	(cbrt y)
289.0ms	(cbrt y)

simplify2.0s

Counts

57 → 57

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	62	309
1	111	290
2	213	266
3	397	254
4	926	254
5	2783	254
done	5000	254

prune354.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	9	14
done	9	14

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.0s	8559×	body	80	valid
1.8s	2946×	body	1280	valid
981.0ms	2370×	body	640	valid
434.0ms	1305×	body	320	valid
105.0ms	599×	body	160	valid