Details

sample266.0ms

Algorithm

intervals

Results

130.0ms	206×	body	10240	exit
74.0ms	112×	body	1280	valid
29.0ms	68×	body	640	valid
14.0ms	47×	body	320	valid
3.0ms	21×	body	160	valid
1.0ms	8×	body	80	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
13	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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.9b

localize35.0ms

Local error

Found 2 expressions with local error:

1.7b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.1b	(- (exp x) (exp (- x)))

rewrite109.0ms

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:

83.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
23.0ms	(- (exp x) (exp (- x)))

series128.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
45.0ms	(- (exp x) (exp (- x)))

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	2000
3	2000
2	912
1	324
0	136

prune310.0ms

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)

series127.0ms

Counts

1 → 3

Calls

1 calls:

127.0ms

(tanh x)

simplify1.0s

Counts

16 → 16

Iterations

Iter	Nodes
done	2019
4	2019
3	627
2	207
1	94
0	45

prune91.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

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 (+ x x))
0.0ms	(fma (pow x 5) 1/60 (fma (* (* x x) x) 1/3 (+ x x)))
23.0ms	(* (* x x) x)

series338.0ms

Counts

3 → 9

Calls

3 calls:

172.0ms	(fma (* (* x x) x) 1/3 (+ x x))
116.0ms	(fma (pow x 5) 1/60 (fma (* (* x x) x) 1/3 (+ x x)))
50.0ms	(* (* x x) x)

simplify1.2s

Counts

62 → 62

Iterations

Iter	Nodes
done	2000
4	2000
3	1459
2	400
1	138
0	72

prune260.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

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

sample9.9s

Algorithm

intervals

Results

5.1s	7430×	body	10240	exit
2.9s	3341×	body	1280	valid
1.1s	2433×	body	640	valid
343.0ms	1166×	body	320	valid
110.0ms	663×	body	160	valid
35.0ms	397×	body	80	valid