Details

sample96.0ms

Algorithm

intervals

Results

36.0ms	105×	body	1280	valid
18.0ms	86×	body	640	valid
14.0ms	256×	body	80	valid
7.0ms	46×	body	320	valid
2.0ms	18×	body	160	valid

simplify12.9s

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

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:

18.0ms	(* (sin x) (/ (sinh y) y))
7.0ms	(/ (sinh y) y)
2.0ms	(sinh y)

series296.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(* (sin x) (/ (sinh y) y))
107.0ms	(/ (sinh y) y)
72.0ms	(sinh y)

simplify2.9s

Counts

83 → 83

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	146	764
1	337	716
2	1073	650
3	3692	649
done	5000	648

prune353.0ms

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)

rewrite41.0ms

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` `associate-r` `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` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 74

Calls

3 calls:

27.0ms	(* (/ (sinh y) y) (sin x))
8.0ms	(/ (sinh y) y)
2.0ms	(sinh y)

series326.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(* (/ (sinh y) y) (sin x))
127.0ms	(/ (sinh y) y)
88.0ms	(sinh y)

simplify2.9s

Counts

83 → 83

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	147	747
1	343	711
2	952	643
3	3184	642
done	5000	629

prune337.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(sinh y)
0.0b	(/ (sinh y) y)
0.0b	(/ (sinh y) y)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

3.0ms	(sinh y)
11.0ms	(sinh y)
14.0ms	(/ (sinh y) y)
15.0ms	(/ (sinh y) y)

series381.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(sinh y)
74.0ms	(sinh y)
111.0ms	(/ (sinh y) y)
107.0ms	(/ (sinh y) y)

simplify3.0s

Counts

92 → 92

Iterations

Useful iterations: 2 (130.0ms)

Iter	Nodes	Cost
0	91	704
1	181	660
2	437	622
3	1125	622
4	3810	622
done	5002	622

prune453.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) y)
0.0b	(/ (sinh y) y)
0.0b	(expm1 (log1p (/ (sinh y) y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

1.0ms	(sinh y)
13.0ms	(/ (sinh y) y)
7.0ms	(/ (sinh y) y)
0.0ms	(expm1 (log1p (/ (sinh y) y)))

series957.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(sinh y)
134.0ms	(/ (sinh y) y)
125.0ms	(/ (sinh y) y)
586.0ms	(expm1 (log1p (/ (sinh y) y)))

simplify2.8s

Counts

93 → 93

Iterations

Useful iterations: 2 (124.0ms)

Iter	Nodes	Cost
0	102	762
1	192	689
2	445	646
3	1144	646
4	3824	646
done	5001	646

prune513.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.0b 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	11	16
1	13	16
done	13	16

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.1s	2946×	body	1280	valid
1.0s	2370×	body	640	valid
977.0ms	1305×	body	320	valid
864.0ms	8559×	body	80	valid
155.0ms	599×	body	160	valid