Details

sample101.0ms

Algorithm

intervals

Results

74.0ms

695×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2733
6	751
5	308
4	183
3	84
2	39
1	18
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize16.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (cosh x) (/ y x))
4.7b	(/ (* (cosh x) (/ y x)) z)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-cbrt-cube` `add-exp-log`
13×	`times-frac` `associate-r`
12×	`*-un-lft-identity` `add-cube-cbrt`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `cosh-def` `prod-exp` `cbrt-unprod`
3×	`associate-/r` `associate-l*` `associate-/l/`
2×	`frac-times` `associate-l/` `associate-r/` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `associate-/l`

Counts

2 → 62

Calls

2 calls:

12.0ms	(* (cosh x) (/ y x))
14.0ms	(/ (* (cosh x) (/ y x)) z)

series285.0ms

Counts

2 → 6

Calls

2 calls:

131.0ms	(* (cosh x) (/ y x))
154.0ms	(/ (* (cosh x) (/ y x)) z)

simplify1.4s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
2	1300
1	348
0	139

prune293.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (/ x (cosh x)))
0.2b	(/ x (cosh x))
4.7b	(/ (/ y (/ x (cosh x))) z)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

504×	`times-frac`
246×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
53×	`associate-/l*`
23×	`div-inv`
22×	`associate-/r/`
20×	`associate-/r*`
19×	`add-cbrt-cube` `add-exp-log`
17×	`cosh-def`
10×	`cbrt-undiv` `div-exp`
3×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`associate-/l/`

Counts

3 → 313

Calls

3 calls:

6.0ms	(/ y (/ x (cosh x)))
4.0ms	(/ x (cosh x))
10.0ms	(/ (/ y (/ x (cosh x))) z)

series361.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(/ y (/ x (cosh x)))
96.0ms	(/ x (cosh x))
143.0ms	(/ (/ y (/ x (cosh x))) z)

simplify2.0s

Counts

322 → 322

Iterations

Iter	Nodes
done	5008
2	3882
1	1347
0	539

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ x (cosh x)) y)
0.2b	(/ x (cosh x))
0.3b	(/ 1 (/ (/ x (cosh x)) y))
4.7b	(/ (/ 1 (/ (/ x (cosh x)) y)) z)

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

2310×	`times-frac`
1010×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
163×	`associate-/l*`
76×	`div-inv`
64×	`add-exp-log`
58×	`associate-/r/`
55×	`associate-/r*`
53×	`cosh-def`
44×	`div-exp`
34×	`add-cbrt-cube`
20×	`cbrt-undiv`
6×	`rec-exp` `1-exp`
5×	`pow1`
4×	`clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
2×	`associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 918

Calls

4 calls:

15.0ms	(/ (/ x (cosh x)) y)
7.0ms	(/ x (cosh x))
13.0ms	(/ 1 (/ (/ x (cosh x)) y))
16.0ms	(/ (/ 1 (/ (/ x (cosh x)) y)) z)

series462.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(/ (/ x (cosh x)) y)
120.0ms	(/ x (cosh x))
86.0ms	(/ 1 (/ (/ x (cosh x)) y))
158.0ms	(/ (/ 1 (/ (/ x (cosh x)) y)) z)

simplify3.8s

Counts

930 → 930

Iterations

Iter	Nodes
done	5001
1	3924
0	1468

prune3.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (cosh x) z)
4.7b	(* (/ y x) (/ (cosh x) z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
31×	`times-frac`
24×	`*-un-lft-identity` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r` `associate-l`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`insert-posit16` `add-log-exp`
1×	`frac-times` `cosh-def` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

2 → 80

Calls

2 calls:

9.0ms	(/ (cosh x) z)
18.0ms	(* (/ y x) (/ (cosh x) z))

series215.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(/ (cosh x) z)
153.0ms	(* (/ y x) (/ (cosh x) z))

simplify1.7s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1510
1	433
0	162

prune337.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes206.0ms

Accuracy

96.2% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 7.3b

bsearch189.0ms

Steps

Iters	Range		Point
8	1.3824994409861635e-37	8.895491820922207e-33	7.165052739410651e-33
9	-87496.44455950253	-0.0005350557287305616	-0.17773348789390944

simplify3.0ms

Iterations

Iter	Nodes
done	23
1	23
0	17

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.9s

22099×

body

valid