Details

sample228.0ms

Algorithm

intervals

Results

119.0ms	230×	body	10240	exit
54.0ms	101×	body	1280	valid
28.0ms	77×	body	640	valid
10.0ms	42×	body	320	valid
4.0ms	25×	body	160	valid
1.0ms	11×	body	80	valid

simplify1.9s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
7.7b	(- (exp x) (exp (- x)))

rewrite67.0ms

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:

15.0ms	(+ (exp x) (exp (- x)))
40.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
11.0ms	(- (exp x) (exp (- x)))

series197.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (exp x) (exp (- x)))
104.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
59.0ms	(- (exp x) (exp (- x)))

simplify2.4s

Counts

85 → 85

Iterations

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

prune335.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite2.0ms

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)

series96.0ms

Counts

1 → 3

Calls

1 calls:

96.0ms

(tanh x)

simplify1.8s

Counts

14 → 14

Iterations

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

prune50.0ms

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 -1/3) (* x x)) x))
0.1b	(* (pow x 5) 2/15)
0.1b	(* (* x -1/3) (* x x))
0.3b	(* x -1/3)

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
16×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-l`
10×	`cbrt-unprod`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
7×	`associate-r`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`sum-log` `*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `+-commutative` `associate-+r+` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 82

Calls

4 calls:

68.0ms	(+ (* (pow x 5) 2/15) (+ (* (* x -1/3) (* x x)) x))
13.0ms	(* (pow x 5) 2/15)
38.0ms	(* (* x -1/3) (* x x))
8.0ms	(* x -1/3)

series242.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(+ (* (pow x 5) 2/15) (+ (* (* x -1/3) (* x x)) x))
77.0ms	(* (pow x 5) 2/15)
56.0ms	(* (* x -1/3) (* x x))
22.0ms	(* x -1/3)

simplify1.2s

Counts

94 → 94

Iterations

Iter	Nodes
done	5003
2	1434
1	362
0	132

prune319.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

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

sample10.3s

Algorithm

intervals

Results

5.4s	7600×	body	10240	exit
2.9s	3292×	body	1280	valid
1.2s	2404×	body	640	valid
394.0ms	1233×	body	320	valid
105.0ms	612×	body	160	valid
41.0ms	459×	body	80	valid