Details

sample289.0ms

Algorithm

intervals

Results

160.0ms	252×	body	10240	exit
76.0ms	128×	body	1280	valid
26.0ms	61×	body	640	valid
10.0ms	40×	body	320	valid
3.0ms	15×	body	160	valid
1.0ms	12×	body	80	valid

simplify14.6s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

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))))
4.9b	(- (exp x) (exp (- x)))

rewrite115.0ms

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:

19.0ms	(+ (exp x) (exp (- x)))
79.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
16.0ms	(- (exp x) (exp (- x)))

series208.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ (exp x) (exp (- x)))
99.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
67.0ms	(- (exp x) (exp (- x)))

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
3	2756
2	871
1	294
0	120

prune499.0ms

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)

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:

1.0ms

(tanh x)

series110.0ms

Counts

1 → 3

Calls

1 calls:

110.0ms

(tanh x)

simplify862.0ms

Counts

14 → 14

Iterations

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

prune85.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 2 (* x (* x 1/3))))
0.1b	(* 1/60 (pow x 5))
0.1b	(* x (* x 1/3))
0.3b	(* x 1/3)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
15×	`add-cbrt-cube`
14×	`associate-r`
13×	`pow1`
12×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 87

Calls

4 calls:

23.0ms	(* x (+ 2 (* x (* x 1/3))))
16.0ms	(* 1/60 (pow x 5))
13.0ms	(* x (* x 1/3))
5.0ms	(* x 1/3)

series232.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* x (+ 2 (* x (* x 1/3))))
72.0ms	(* 1/60 (pow x 5))
29.0ms	(* x (* x 1/3))
25.0ms	(* x 1/3)

simplify1.9s

Counts

99 → 99

Iterations

Iter	Nodes
3	4277
2	960
1	321
0	133

prune947.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

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

sample11.3s

Algorithm

intervals

Results

6.4s	7515×	body	10240	exit
3.0s	3331×	body	1280	valid
1.2s	2450×	body	640	valid
354.0ms	1192×	body	320	valid
116.0ms	626×	body	160	valid
37.0ms	401×	body	80	valid