Details

sample307.0ms

Algorithm

intervals

Results

138.0ms	231×	body	10240	exit
94.0ms	101×	body	1280	valid
41.0ms	82×	body	640	valid
14.0ms	37×	body	320	valid
4.0ms	20×	body	160	valid
2.0ms	16×	body	80	valid

simplify13.5s

Counts

1 → 1

Iterations

Iter	Nodes
15	9856
14	1999
13	591
12	238
11	133
10	84
9	64
8	58
7	55
6	51
5	47
4	39
3	29
2	23
1	15
0	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.3b	(- (exp x) (exp (- x)))

rewrite108.0ms

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:

18.0ms	(+ (exp x) (exp (- x)))
78.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
10.0ms	(- (exp x) (exp (- x)))

series220.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ (exp x) (exp (- x)))
116.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
53.0ms	(- (exp x) (exp (- x)))

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
3	2756
2	871
1	294
0	120

prune679.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

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)

series125.0ms

Counts

1 → 3

Calls

1 calls:

125.0ms

(tanh x)

simplify731.0ms

Counts

14 → 14

Iterations

Iter	Nodes
4	2416
3	545
2	198
1	93
0	43

prune105.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
23×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`-un-lft-identity` `associate-r` `associate-l*` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
6×	`pow-plus` `pow-prod-up`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`sum-log` `*-commutative`
2×	`pow2` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `associate-+r+` `flip3-+` `pow3` `pow-exp` `flip-+`

Counts

4 → 91

Calls

4 calls:

30.0ms	(+ (* (pow x 5) 2/15) (+ x (* (* (* x x) x) -1/3)))
16.0ms	(* (pow x 5) 2/15)
29.0ms	(* (* x x) x)
72.0ms	(* (* (* x x) x) -1/3)

series267.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(+ (* (pow x 5) 2/15) (+ x (* (* (* x x) x) -1/3)))
81.0ms	(* (pow x 5) 2/15)
44.0ms	(* (* x x) x)
55.0ms	(* (* (* x x) x) -1/3)

simplify3.5s

Counts

103 → 103

Iterations

Iter	Nodes
3	5085
2	1102
1	337
0	133

prune934.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes51.0ms

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
1	2
0	2

end0.0ms

sample11.2s

Algorithm

intervals

Results

6.0s	7484×	body	10240	exit
2.4s	3368×	body	1280	valid
1.1s	2349×	body	640	valid
862.0ms	1220×	body	320	valid
500.0ms	610×	body	160	valid
43.0ms	453×	body	80	valid