Details

sample240.0ms

Algorithm

intervals

Results

122.0ms	236×	body	10240	exit
57.0ms	103×	body	1280	valid
29.0ms	76×	body	640	valid
13.0ms	47×	body	320	valid
3.0ms	18×	body	160	valid
1.0ms	12×	body	80	valid

simplify10.7s

Counts

1 → 1

Iterations

Iter	Nodes
15	9602
14	1972
13	611
12	247
11	137
10	88
9	68
8	62
7	59
6	55
5	51
4	39
3	29
2	23
1	15
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize18.0ms

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

44×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
20×	`times-frac` `add-cube-cbrt`
9×	`prod-diff`
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`
3×	`fma-neg`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `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 → 79

Calls

2 calls:

51.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
19.0ms	(- (exp x) (exp (- x)))

series139.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
49.0ms	(- (exp x) (exp (- x)))

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
3	2908
2	890
1	322
0	136

prune607.0ms

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` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `tanh-def` `add-log-exp`

Counts

1 → 13

Calls

1 calls:

1.0ms

(tanh x)

series100.0ms

Counts

1 → 3

Calls

1 calls:

100.0ms

(tanh x)

simplify632.0ms

Counts

16 → 16

Iterations

Iter	Nodes
4	2482
3	563
2	196
1	92
0	45

prune80.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow-plus` `pow-prod-up`
5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-sqr` `fma-udef`
1×	`associate-l` `pow3` `*-commutative` `unswap-sqr`

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma (* (* x x) x) -1/3 (fma (pow x 5) 2/15 x))
0.0ms	(fma (pow x 5) 2/15 x)
30.0ms	(* (* x x) x)

series273.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(fma (* (* x x) x) -1/3 (fma (pow x 5) 2/15 x))
148.0ms	(fma (pow x 5) 2/15 x)
36.0ms	(* (* x x) x)

simplify2.6s

Counts

62 → 62

Iterations

Iter	Nodes
4	5352
3	1165
2	344
1	129
0	70

prune527.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

428×	`times-frac`
397×	`*-un-lft-identity`
355×	`add-sqr-sqrt`
166×	`add-cube-cbrt`
82×	`distribute-lft-out`
81×	`difference-of-squares`
78×	`div-inv`
57×	`associate-/r*`
54×	`distribute-lft-out--`
39×	`prod-diff`
18×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`associate-/r/` `associate-/l*`
10×	`div-exp`
6×	`pow1` `flip3--` `flip--` `add-log-exp`
5×	`cbrt-undiv` `pow-flip`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`rec-exp` `exp-prod` `clear-num` `frac-2neg` `fma-neg` `1-exp`
2×	`inv-pow` `associate-/l/`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 382

Calls

4 calls:

6.0ms	(/ 1 (exp x))
53.0ms	(/ 1 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
63.0ms	(/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))
14.0ms	(- (exp x) (/ 1 (exp x)))

series333.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ 1 (exp x))
135.0ms	(/ 1 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
101.0ms	(/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))
78.0ms	(- (exp x) (/ 1 (exp x)))

simplify4.0s

Counts

394 → 394

Iterations

Iter	Nodes
2	2437
1	1034
0	413

prune3.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes38.0ms

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

6.1s	7518×	body	10240	exit
2.9s	3249×	body	1280	valid
1.3s	2499×	body	640	valid
372.0ms	1250×	body	320	valid
117.0ms	603×	body	160	valid
77.0ms	399×	body	80	valid