Details

sample137.0ms

Algorithm

intervals

Results

52.0ms	92×	body	1280	valid
27.0ms	99×	body	640	valid
21.0ms	291×	body	80	valid
9.0ms	42×	body	320	valid
2.0ms	17×	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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

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:

1.0ms	(sinh y)
8.0ms	(/ (sinh y) y)
43.0ms	(* (sin x) (/ (sinh y) y))

series419.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(sinh y)
143.0ms	(/ (sinh y) y)
169.0ms	(* (sin x) (/ (sinh y) y))

simplify3.0s

Counts

83 → 83

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	146	764
1	337	716
2	1075	650
3	3666	649
done	5000	636

prune299.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (* 1 (sinh y)) y)
0.0b	(* (sin x) (/ (* 1 (sinh y)) y))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

1.0ms	(sinh y)
12.0ms	(/ (* 1 (sinh y)) y)
34.0ms	(* (sin x) (/ (* 1 (sinh y)) y))

series382.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(sinh y)
133.0ms	(/ (* 1 (sinh y)) y)
158.0ms	(* (sin x) (/ (* 1 (sinh y)) y))

simplify4.3s

Counts

74 → 74

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	146	773
1	339	597
2	1121	513
3	4305	512
done	5000	511

prune206.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

20.0ms	(* (sin x) (/ (sinh y) y))
10.0ms	(/ (sinh y) y)
1.0ms	(expm1 (* (sin x) (/ (sinh y) y)))
1.0ms	(log1p (expm1 (* (sin x) (/ (sinh y) y))))

series914.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (sin x) (/ (sinh y) y))
134.0ms	(/ (sinh y) y)
372.0ms	(expm1 (* (sin x) (/ (sinh y) y)))
247.0ms	(log1p (expm1 (* (sin x) (/ (sinh y) y))))

simplify1.3s

Counts

98 → 98

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	230	1301
1	580	1189
2	2186	1062
done	5000	1048

prune412.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sinh y) (sin x))
13.8b	(/ (* (sinh y) (sin x)) y)

rewrite64.0ms

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` `div-exp` `associate-*l/` `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)
26.0ms	(* (sinh y) (sin x))
34.0ms	(/ (* (sinh y) (sin x)) y)

series336.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(sinh y)
112.0ms	(* (sinh y) (sin x))
119.0ms	(/ (* (sinh y) (sin x)) y)

simplify4.5s

Counts

64 → 64

Iterations

Useful iterations: 3 (2.6s)

Iter	Nodes	Cost
0	123	572
1	281	546
2	1009	475
3	4916	473
done	5000	473

prune205.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	12	7
done	12	7

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.0s	2971×	body	1280	valid
1.6s	2460×	body	640	valid
697.0ms	8549×	body	80	valid
349.0ms	1237×	body	320	valid
96.0ms	592×	body	160	valid