Details

sample292.0ms

Algorithm

intervals

Results

152.0ms	224×	body	10240	exit
79.0ms	120×	body	1280	valid
33.0ms	77×	body	640	valid
11.0ms	38×	body	320	valid
2.0ms	12×	body	160	valid
1.0ms	9×	body	80	valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
12	739
11	416
10	285
9	201
8	156
7	122
6	81
5	59
4	41
3	31
2	25
1	15
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.3b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
3.8b	(- (exp x) (exp (- x)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
20×	`times-frac`
9×	`prod-diff`
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×	`expm1-log1p-u` `pow1` `fma-def` `fma-neg` `insert-posit16` `log1p-expm1-u`
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 → 97

Calls

3 calls:

21.0ms	(+ (exp x) (exp (- x)))
67.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
22.0ms	(- (exp x) (exp (- x)))

series224.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (exp x) (exp (- x)))
139.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
60.0ms	(- (exp x) (exp (- x)))

simplify918.0ms

Counts

106 → 106

Iterations

Iter	Nodes
done	2001
2	1056
1	360
0	150

prune398.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

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:

2.0ms

(tanh x)

series95.0ms

Counts

1 → 3

Calls

1 calls:

95.0ms

(tanh x)

simplify630.0ms

Counts

16 → 16

Iterations

Iter	Nodes
done	2003
3	627
2	207
1	94
0	45

prune89.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

0.0ms	(fma (pow x 5) 2/15 x)
38.0ms	(* (* x x) x)

series229.0ms

Counts

2 → 6

Calls

2 calls:

182.0ms	(fma (pow x 5) 2/15 x)
46.0ms	(* (* x x) x)

simplify636.0ms

Counts

48 → 48

Iterations

Iter	Nodes
done	2002
3	965
2	286
1	110
0	54

prune136.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))))
0.0b	(log1p (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))))
0.3b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
3.8b	(- (exp x) (exp (- x)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
20×	`times-frac`
9×	`prod-diff`
6×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
5×	`expm1-log1p-u` `associate-/l*`
4×	`pow1` `associate-/r*` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `log1p-expm1` `tanh-undef` `flip-+` `div-inv` `expm1-udef`

Counts

4 → 103

Calls

4 calls:

0.0ms	(expm1 (log1p (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))))
0.0ms	(log1p (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))))
52.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
27.0ms	(- (exp x) (exp (- x)))

series594.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(expm1 (log1p (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))))
152.0ms	(log1p (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))))
99.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
74.0ms	(- (exp x) (exp (- x)))

simplify867.0ms

Counts

115 → 115

Iterations

Iter	Nodes
done	2003
2	1103
1	391
0	176

prune443.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 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
done	2
0	2

end0.0ms

sample9.7s

Algorithm

intervals

Results

5.4s	7340×	body	10240	exit
2.1s	3355×	body	1280	valid
1.4s	2414×	body	640	valid
343.0ms	1212×	body	320	valid
104.0ms	627×	body	160	valid
35.0ms	392×	body	80	valid