Details

sample150.0ms

Algorithm

intervals

Results

70.0ms	92×	body	1280	valid
20.0ms	74×	body	640	valid
20.0ms	288×	body	80	valid
12.0ms	47×	body	320	valid
3.0ms	20×	body	160	valid

simplify13.7s

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	137	7
5	265	7
6	482	7
7	1041	7
8	1987	7
9	3484	7
10	4730	7
done	5000	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	(/ (sinh y) y)
0.0b	(sinh y)
0.0b	(* (sin x) (/ (sinh y) y))

rewrite30.0ms

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:

7.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
19.0ms	(* (sin x) (/ (sinh y) y))

series334.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(/ (sinh y) y)
77.0ms	(sinh y)
150.0ms	(* (sin x) (/ (sinh y) y))

simplify2.9s

Counts

83 → 83

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	146	764
1	337	716
2	1076	650
3	3673	649
done	5000	636

prune290.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
0.0b	(cbrt (pow (/ (sinh y) y) 3))
0.0b	(pow (/ (sinh y) y) 3)

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-prod`
66×	`add-sqr-sqrt`
56×	`times-frac`
51×	`add-cube-cbrt` `*-un-lft-identity`
41×	`unpow-prod-down` `cube-prod`
35×	`associate-r`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`pow1` `unswap-sqr`
6×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-l`
2×	`cbrt-div` `pow-exp` `rem-cube-cbrt`
1×	`cbrt-undiv` `pow-to-exp` `sinh-def` `pow-pow` `pow1/3` `associate-r/` `div-exp` `pow-prod-down` `prod-exp` `-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 161

Calls

4 calls:

1.0ms	(sinh y)
70.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
21.0ms	(cbrt (pow (/ (sinh y) y) 3))
13.0ms	(pow (/ (sinh y) y) 3)

series625.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(sinh y)
171.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
152.0ms	(cbrt (pow (/ (sinh y) y) 3))
202.0ms	(pow (/ (sinh y) y) 3)

simplify1.6s

Counts

173 → 173

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	240	2273
1	593	1734
2	2021	1546
done	5001	1543

prune502.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(* (sin x) (/ (sinh y) y))
0.1b	(expm1 (log1p (* (sin x) (/ (sinh y) y))))
0.3b	(log1p (* (sin x) (/ (sinh y) y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

3.0ms	(sinh y)
31.0ms	(* (sin x) (/ (sinh y) y))
0.0ms	(expm1 (log1p (* (sin x) (/ (sinh y) y))))
1.0ms	(log1p (* (sin x) (/ (sinh y) y)))

series962.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(sinh y)
169.0ms	(* (sin x) (/ (sinh y) y))
242.0ms	(expm1 (log1p (* (sin x) (/ (sinh y) y))))
455.0ms	(log1p (* (sin x) (/ (sinh y) y)))

simplify1.6s

Counts

78 → 78

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	211	1091
1	553	994
2	2178	877
done	5001	862

prune314.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
16.0b	(/ (* (sin x) (sinh y)) y)

rewrite40.0ms

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:

2.0ms	(sinh y)
18.0ms	(* (sin x) (sinh y))
17.0ms	(/ (* (sin x) (sinh y)) y)

series354.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(sinh y)
107.0ms	(* (sin x) (sinh y))
134.0ms	(/ (* (sin x) (sinh y)) y)

simplify1.6s

Counts

64 → 64

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	123	572
1	281	546
2	1031	475
done	5000	455

prune265.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes151.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	10	10
done	10	10

end0.0ms

sample5.5s

Algorithm

intervals

Results

1.9s	3013×	body	1280	valid
1.3s	2437×	body	640	valid
826.0ms	8601×	body	80	valid
483.0ms	584×	body	160	valid
372.0ms	1197×	body	320	valid