Details

sample172.0ms

Algorithm

intervals

Results

54.0ms	78×	body	1280	valid
52.0ms	249×	body	80	valid
38.0ms	80×	body	640	valid
9.0ms	26×	body	320	valid
4.0ms	20×	body	160	valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5012
9	4149
8	1946
7	941
6	316
5	142
4	89
3	50
2	28
1	15
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`expm1-log1p-u` `cbrt-undiv` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

2 → 67

Calls

2 calls:

15.0ms	(* (cosh x) (/ (sin y) y))
8.0ms	(/ (sin y) y)

series127.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(* (cosh x) (/ (sin y) y))
37.0ms	(/ (sin y) y)

simplify2.1s

Counts

73 → 73

Iterations

Iter	Nodes
done	5002
3	3174
2	963
1	284
0	126

prune323.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow1`
3×	`associate-/r` `times-frac` `associate-r` `associate-l*`
2×	`expm1-log1p-u` `cbrt-undiv` `cosh-def` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr` `associate-/l/`

Counts

2 → 47

Calls

2 calls:

16.0ms	(* (cosh x) (sin y))
19.0ms	(/ (* (cosh x) (sin y)) y)

series198.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(* (cosh x) (sin y))
118.0ms	(/ (* (cosh x) (sin y)) y)

simplify2.2s

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
3	4850
2	817
1	241
0	109

prune175.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cosh x) (sin y))
0.1b	(expm1 (* (cosh x) (sin y)))
0.1b	(/ (log1p (expm1 (* (cosh x) (sin y)))) y)
0.2b	(log1p (expm1 (* (cosh x) (sin y))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `insert-posit16` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `cosh-def` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `associate-l/` `prod-exp` `log1p-expm1` `-commutative` `cbrt-unprod` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

9.0ms	(* (cosh x) (sin y))
0.0ms	(expm1 (* (cosh x) (sin y)))
4.0ms	(/ (log1p (expm1 (* (cosh x) (sin y)))) y)
0.0ms	(log1p (expm1 (* (cosh x) (sin y))))

series408.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (cosh x) (sin y))
104.0ms	(expm1 (* (cosh x) (sin y)))
113.0ms	(/ (log1p (expm1 (* (cosh x) (sin y)))) y)
117.0ms	(log1p (expm1 (* (cosh x) (sin y))))

simplify1.9s

Counts

88 → 88

Iterations

Iter	Nodes
done	5158
3	3570
2	764
1	279
0	143

prune360.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (sin y))
0.3b	(* (* (cosh x) (sin y)) (/ 1 y))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
16×	`add-cbrt-cube` `associate-r`
13×	`add-sqr-sqrt` `prod-exp`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`pow1` `times-frac`
7×	`cbrt-unprod`
4×	`div-exp` `associate-l` `pow-prod-down` `associate-*l/`
3×	`cosh-def`
2×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

2 → 65

Calls

2 calls:

10.0ms	(* (cosh x) (sin y))
40.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

series198.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(* (cosh x) (sin y))
105.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

simplify2.7s

Counts

71 → 71

Iterations

Iter	Nodes
done	5003
3	4082
2	1147
1	371
0	145

prune202.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes236.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.9s	2867×	body	1280	valid
1.5s	2420×	body	640	valid
979.0ms	8516×	body	80	valid
407.0ms	1207×	body	320	valid
158.0ms	624×	body	160	valid