Details

sample314.0ms

Algorithm

intervals

Results

145.0ms	275×	body	10240	exit
101.0ms	98×	body	1280	valid
34.0ms	82×	body	640	valid
13.0ms	43×	body	320	valid
3.0ms	18×	body	160	valid
1.0ms	15×	body	80	valid

simplify45.0ms

Counts

1 → 1

Iterations

Iter	Nodes
7	55
6	55
5	53
4	41
3	31
2	25
1	15
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.4b

localize45.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
4.7b	(- (exp x) (exp (- x)))

rewrite116.0ms

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:

14.0ms	(+ (exp x) (exp (- x)))
77.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
23.0ms	(- (exp x) (exp (- x)))

series176.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (exp x) (exp (- x)))
99.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
51.0ms	(- (exp x) (exp (- x)))

simplify1.3s

Counts

106 → 106

Iterations

Iter	Nodes
3	3263
2	1007
1	360
0	150

prune846.0ms

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)

series86.0ms

Counts

1 → 3

Calls

1 calls:

86.0ms

(tanh x)

simplify620.0ms

Counts

16 → 16

Iterations

Iter	Nodes
4	2498
3	566
2	198
1	94
0	45

prune84.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* x -1/3) (* x x) x)
0.0b	(fma 2/15 (pow x 5) (fma (* x -1/3) (* x x) x))
0.3b	(* x -1/3)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

0.0ms	(fma (* x -1/3) (* x x) x)
0.0ms	(fma 2/15 (pow x 5) (fma (* x -1/3) (* x x) x))
5.0ms	(* x -1/3)

series215.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(fma (* x -1/3) (* x x) x)
99.0ms	(fma 2/15 (pow x 5) (fma (* x -1/3) (* x x) x))
18.0ms	(* x -1/3)

simplify1.6s

Counts

52 → 52

Iterations

Iter	Nodes
4	3920
3	865
2	258
1	122
0	68

prune507.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

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

sample9.5s

Algorithm

intervals

Results

4.8s	7436×	body	10240	exit
2.5s	3384×	body	1280	valid
1.5s	2365×	body	640	valid
312.0ms	1208×	body	320	valid
163.0ms	626×	body	160	valid
36.0ms	417×	body	80	valid