Details

sample107.0ms

Algorithm

intervals

Results

33.0ms	64×	body	1280	valid
25.0ms	319×	body	80	valid
20.0ms	55×	body	640	valid
7.0ms	30×	body	320	valid
3.0ms	16×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	1834
6	655
5	258
4	130
3	62
2	30
1	15
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sin x) (sinh y))
15.6b	(/ (* (sin x) (sinh y)) x)

rewrite21.0ms

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` `sinh-def` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `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 → 45

Calls

2 calls:

9.0ms	(* (sin x) (sinh y))
11.0ms	(/ (* (sin x) (sinh y)) x)

series295.0ms

Counts

2 → 6

Calls

2 calls:

135.0ms	(* (sin x) (sinh y))
160.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.3s

Counts

51 → 51

Iterations

Iter	Nodes
done	5002
2	991
1	274
0	111

prune261.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`sinh-def` `clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

2 → 64

Calls

2 calls:

5.0ms	(/ (sinh y) x)
23.0ms	(* (sin x) (/ (sinh y) x))

series245.0ms

Counts

2 → 6

Calls

2 calls:

109.0ms	(/ (sinh y) x)
136.0ms	(* (sin x) (/ (sinh y) x))

simplify2.6s

Counts

70 → 70

Iterations

Iter	Nodes
done	5099
3	3585
2	1070
1	341
0	136

prune388.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (sinh y))
0.9b	(/ (sin x) (/ x (sinh y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 106

Calls

2 calls:

5.0ms	(/ x (sinh y))
14.0ms	(/ (sin x) (/ x (sinh y)))

series303.0ms

Counts

2 → 6

Calls

2 calls:

147.0ms	(/ x (sinh y))
155.0ms	(/ (sin x) (/ x (sinh y)))

simplify1.7s

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
2	1608
1	520
0	209

prune705.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`expm1-log1p-u` `cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `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 → 65

Calls

2 calls:

31.0ms	(* (/ (sin x) x) (sinh y))
11.0ms	(/ (sin x) x)

series198.0ms

Counts

2 → 6

Calls

2 calls:

151.0ms	(* (/ (sin x) x) (sinh y))
47.0ms	(/ (sin x) x)

simplify2.3s

Counts

71 → 71

Iterations

Iter	Nodes
done	5002
3	3832
2	1055
1	315
0	129

prune446.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes193.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.6s	10344×	body	80	valid
1.3s	1951×	body	640	valid
1.1s	1851×	body	1280	valid
408.0ms	1158×	body	320	valid
103.0ms	621×	body	160	valid