Details

sample250.0ms

Algorithm

intervals

Results

129.0ms	236×	body	10240	exit
59.0ms	103×	body	1280	valid
33.0ms	76×	body	640	valid
12.0ms	47×	body	320	valid
3.0ms	18×	body	160	valid
1.0ms	12×	body	80	valid

simplify14.2s

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

44.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
27.0ms	(- (exp x) (exp (- x)))

series149.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
56.0ms	(- (exp x) (exp (- x)))

simplify975.0ms

Counts

69 → 69

Iterations

Iter	Nodes
3	2444
2	765
1	264
0	108

prune551.0ms

Pruning

3 alts after pruning (3 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)

series106.0ms

Counts

1 → 3

Calls

1 calls:

106.0ms

(tanh x)

simplify715.0ms

Counts

14 → 14

Iterations

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

prune137.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

32×	`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`
7×	`associate-r`
6×	`pow-plus` `pow-prod-up` `add-log-exp`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`pow2` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow3` `pow-exp` `flip--`

Counts

4 → 90

Calls

4 calls:

71.0ms	(- (* 1/3 (* (* x x) x)) x)
9.0ms	(* (pow x 5) 2/15)
20.0ms	(* (* x x) x)
51.0ms	(* 1/3 (* (* x x) x))

series312.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(- (* 1/3 (* (* x x) x)) x)
89.0ms	(* (pow x 5) 2/15)
48.0ms	(* (* x x) x)
55.0ms	(* 1/3 (* (* x x) x))

simplify1.0s

Counts

102 → 102

Iterations

Iter	Nodes
3	2623
2	781
1	304
0	122

prune707.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x)))))
1.0b	(/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x))))
6.3b	(- (exp x) (exp (- x)))

rewrite350.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
177×	`*-un-lft-identity`
125×	`add-sqr-sqrt`
81×	`add-cube-cbrt`
31×	`associate-/r*`
26×	`distribute-lft-out`
22×	`distribute-lft-out--` `difference-of-squares`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`insert-posit16`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+` `pow-flip` `inv-pow`

Counts

3 → 190

Calls

3 calls:

286.0ms	(/ 1 (/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x)))))
48.0ms	(/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x))))
13.0ms	(- (exp x) (exp (- x)))

series198.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(/ 1 (/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x)))))
79.0ms	(/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x))))
40.0ms	(- (exp x) (exp (- x)))

simplify7.2s

Counts

199 → 199

Iterations

Iter	Nodes
3	4919
2	1672
1	609
0	240

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 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

sample11.1s

Algorithm

intervals

Results

6.6s	7518×	body	10240	exit
2.4s	3249×	body	1280	valid
1.2s	2499×	body	640	valid
447.0ms	1250×	body	320	valid
141.0ms	603×	body	160	valid
38.0ms	399×	body	80	valid