Details

sample132.0ms

Algorithm

intervals

Results

48.0ms	73×	body	640	valid
26.0ms	46×	body	1280	valid
22.0ms	288×	body	80	valid
9.0ms	39×	body	320	valid
1.0ms	10×	body	160	valid

simplify3.1s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
11.6b	(/ (* (sin x) (sinh y)) x)

rewrite53.0ms

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)
21.0ms	(* (sin x) (sinh y))
29.0ms	(/ (* (sin x) (sinh y)) x)

series378.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(sinh y)
139.0ms	(* (sin x) (sinh y))
143.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.0s

Counts

64 → 64

Iterations

Useful iterations: done (1.0s)

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

prune312.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

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:

7.0ms	(/ (sinh y) x)
1.0ms	(sinh y)
18.0ms	(* (sin x) (/ (sinh y) x))

series362.0ms

Counts

3 → 9

Calls

3 calls:

137.0ms	(/ (sinh y) x)
73.0ms	(sinh y)
152.0ms	(* (sin x) (/ (sinh y) x))

simplify1.3s

Counts

83 → 83

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	146	770
1	357	731
2	1682	662
done	5001	655

prune419.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (* (sinh y) (/ 1 x)))
0.2b	(* (sinh y) (/ 1 x))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

1.0ms	(sinh y)
53.0ms	(* (sin x) (* (sinh y) (/ 1 x)))
30.0ms	(* (sinh y) (/ 1 x))

series301.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(sinh y)
142.0ms	(* (sin x) (* (sinh y) (/ 1 x)))
91.0ms	(* (sinh y) (/ 1 x))

simplify1.3s

Counts

87 → 87

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	165	894
1	425	717
2	1853	608
done	5000	597

prune342.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
11.7b	(* (* (sin x) (sinh y)) (/ 1 x))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

1.0ms	(sinh y)
15.0ms	(* (sin x) (sinh y))
52.0ms	(* (* (sin x) (sinh y)) (/ 1 x))

series335.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(sinh y)
114.0ms	(* (sin x) (sinh y))
130.0ms	(* (* (sin x) (sinh y)) (/ 1 x))

simplify2.4s

Counts

82 → 82

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	159	865
1	445	782
2	2524	630
done	5000	629

prune444.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes266.0ms

Accuracy

0% (0.2b 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	6	7
1	7	7
done	7	7

end0.0ms

sample5.0s

Algorithm

intervals

Results

1.2s	1982×	body	640	valid
1.1s	1820×	body	1280	valid
1.1s	10449×	body	80	valid
738.0ms	1096×	body	320	valid
100.0ms	588×	body	160	valid