Details

sample290.0ms

Algorithm

intervals

Results

147.0ms	228×	body	10240	exit
77.0ms	108×	body	1280	valid
33.0ms	79×	body	640	valid
12.0ms	37×	body	320	valid
4.0ms	18×	body	160	valid
1.0ms	14×	body	80	valid

simplify5.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3482
7	523
6	130
5	66
4	42
3	31
2	25
1	15
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
2.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.1b	(- (exp x) (exp (- x)))

rewrite76.0ms

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)))
41.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
18.0ms	(- (exp x) (exp (- x)))

series211.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (exp x) (exp (- x)))
116.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
60.0ms	(- (exp x) (exp (- x)))

simplify827.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	1254
1	296
0	120

prune289.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite1.0ms

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:

1.0ms

(tanh x)

series86.0ms

Counts

1 → 3

Calls

1 calls:

86.0ms

(tanh x)

simplify1.2s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
3	835
2	235
1	95
0	43

prune51.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1`
23×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`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`
5×	`pow-prod-up`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`diff-log` `sqr-pow`
1×	`pow2` `pow-to-exp` `sum-log` `sub-neg` `pow-plus` `flip3--` `cube-unmult` `pow-exp` `associate--l+` `pow-sqr` `flip--`

Counts

4 → 88

Calls

4 calls:

49.0ms	(- (+ x (* (pow x 5) 2/15)) (* (* x (* x x)) 1/3))
11.0ms	(* (pow x 5) 2/15)
16.0ms	(* x (* x x))
47.0ms	(* (* x (* x x)) 1/3)

series212.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (+ x (* (pow x 5) 2/15)) (* (* x (* x x)) 1/3))
58.0ms	(* (pow x 5) 2/15)
40.0ms	(* x (* x x))
52.0ms	(* (* x (* x x)) 1/3)

simplify1.1s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1912
1	333
0	134

prune310.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	2
0	2

end0.0ms

sample9.5s

Algorithm

intervals

Results

5.8s	7748×	body	10240	exit
2.1s	3253×	body	1280	valid
941.0ms	2486×	body	640	valid
302.0ms	1216×	body	320	valid
127.0ms	619×	body	160	valid
39.0ms	426×	body	80	valid