Details

sample308.0ms

Algorithm

intervals

Results

123.0ms	216×	body	10240	exit
76.0ms	103×	body	1280	valid
68.0ms	71×	body	640	valid
16.0ms	48×	body	320	valid
6.0ms	18×	body	160	valid
2.0ms	16×	body	80	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5010
13	2564
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: 58.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.4b	(- (exp x) (exp (- x)))

rewrite135.0ms

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:

15.0ms	(+ (exp x) (exp (- x)))
99.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
18.0ms	(- (exp x) (exp (- x)))

series206.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ (exp x) (exp (- x)))
108.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
58.0ms	(- (exp x) (exp (- x)))

simplify2.9s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
3	3811
2	1056
1	360
0	150

prune395.0ms

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)

rewrite1.0ms

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)

series128.0ms

Counts

1 → 3

Calls

1 calls:

128.0ms

(tanh x)

simplify2.3s

Counts

16 → 16

Iterations

Iter	Nodes
done	5000
4	3024
3	627
2	207
1	94
0	45

prune55.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

0.0ms	(fma -1/3 (* x (* x x)) (fma (pow x 5) 2/15 x))
0.0ms	(fma (pow x 5) 2/15 x)
26.0ms	(* x (* x x))

series255.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(fma -1/3 (* x (* x x)) (fma (pow x 5) 2/15 x))
138.0ms	(fma (pow x 5) 2/15 x)
41.0ms	(* x (* x x))

simplify3.1s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	4755
2	707
1	197
0	91

prune250.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify0.0ms

Iterations

Iter	Nodes
done	2
0	2

end0.0ms

sample9.0s

Algorithm

intervals

Results

4.5s	7207×	body	10240	exit
2.4s	3308×	body	1280	valid
1.5s	2384×	body	640	valid
339.0ms	1235×	body	320	valid
108.0ms	652×	body	160	valid
34.0ms	421×	body	80	valid