Details

sample311.0ms

Algorithm

intervals

Results

140.0ms	216×	body	10240	exit
99.0ms	103×	body	1280	valid
34.0ms	71×	body	640	valid
16.0ms	48×	body	320	valid
4.0ms	18×	body	160	valid
2.0ms	16×	body	80	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
11	1389
10	396
9	196
8	153
7	111
6	81
5	55
4	41
3	31
2	25
1	15
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.4b	(- (exp x) (exp (- x)))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
20×	`times-frac`
14×	`add-cube-cbrt`
7×	`distribute-lft-out` `add-log-exp`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`associate-/r*`
3×	`pow1` `insert-posit16`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `tanh-undef` `div-inv`

Counts

3 → 76

Calls

3 calls:

12.0ms	(+ (exp x) (exp (- x)))
97.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
14.0ms	(- (exp x) (exp (- x)))

series215.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (exp x) (exp (- x)))
136.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
48.0ms	(- (exp x) (exp (- x)))

simplify2.8s

Counts

85 → 85

Iterations

Iter	Nodes
done	5004
3	2976
2	886
1	296
0	120

prune344.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `tanh-def` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

2.0ms

(tanh x)

series142.0ms

Counts

1 → 3

Calls

1 calls:

142.0ms

(tanh x)

simplify2.5s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
4	2949
3	628
2	208
1	95
0	43

prune35.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (pow x 5) 2/15) x)
0.1b	(* (pow x 5) 2/15)
0.1b	(* x (* x x))
0.1b	(* -1/3 (* x (* x x)))

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt` `associate-r`
29×	`pow1` `unswap-sqr`
25×	`*-un-lft-identity`
23×	`associate-l` `add-exp-log`
21×	`add-cube-cbrt`
20×	`add-cbrt-cube`
12×	`prod-exp`
10×	`pow-prod-down` `*-commutative` `cbrt-unprod`
9×	`swap-sqr`
6×	`add-log-exp`
5×	`pow-prod-up`
4×	`unpow-prod-down` `insert-posit16`
2×	`cube-unmult` `distribute-lft-out` `sqr-pow`
1×	`pow2` `pow-to-exp` `+-commutative` `sum-log` `flip3-+` `pow-plus` `pow-exp` `pow-sqr` `flip-+`

Counts

4 → 140

Calls

4 calls:

79.0ms	(+ (* (pow x 5) 2/15) x)
19.0ms	(* (pow x 5) 2/15)
36.0ms	(* x (* x x))
118.0ms	(* -1/3 (* x (* x x)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(+ (* (pow x 5) 2/15) x)
58.0ms	(* (pow x 5) 2/15)
42.0ms	(* x (* x x))
46.0ms	(* -1/3 (* x (* x x)))

simplify1.2s

Counts

152 → 152

Iterations

Iter	Nodes
done	5007
2	1644
1	455
0	167

prune515.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify0.0ms

Iterations

Iter	Nodes
done	2
0	2

end0.0ms

sample10.9s

Algorithm

intervals

Results

6.3s	7207×	body	10240	exit
2.5s	3308×	body	1280	valid
1.2s	2384×	body	640	valid
444.0ms	1235×	body	320	valid
126.0ms	652×	body	160	valid
41.0ms	421×	body	80	valid