Details

sample322.0ms

Algorithm

intervals

Results

159.0ms	277×	body	10240	exit
66.0ms	103×	body	1280	valid
43.0ms	35×	body	320	valid
34.0ms	82×	body	640	valid
3.0ms	16×	body	160	valid
2.0ms	20×	body	80	valid

simplify29.0ms

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: 56.7b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.3b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
4.6b	(- (exp x) (exp (- x)))

rewrite70.0ms

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:

10.0ms	(+ (exp x) (exp (- x)))
44.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
14.0ms	(- (exp x) (exp (- x)))

series205.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ (exp x) (exp (- x)))
115.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
48.0ms	(- (exp x) (exp (- x)))

simplify1.4s

Counts

106 → 106

Iterations

Iter	Nodes
3	3263
2	1007
1	360
0	150

prune768.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite3.0ms

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:

3.0ms

(tanh x)

series112.0ms

Counts

1 → 3

Calls

1 calls:

112.0ms

(tanh x)

simplify798.0ms

Counts

16 → 16

Iterations

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

prune140.0ms

Pruning

4 alts after pruning (3 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)

rewrite12.0ms

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))
10.0ms	(* x -1/3)

series224.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(fma (* x -1/3) (* x x) x)
88.0ms	(fma 2/15 (pow x 5) (fma (* x -1/3) (* x x) x))
29.0ms	(* x -1/3)

simplify1.7s

Counts

52 → 52

Iterations

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

prune424.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh x)
0.0b	(tanh x)
0.1b	(* (* (tanh x) (tanh x)) (tanh x))
37.9b	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

162×	`frac-times`
98×	`tanh-def`
63×	`cbrt-div`
54×	`associate-*l/`
30×	`associate-*r/`
23×	`pow1`
9×	`add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow2` `pow3` `pow-sqr`
1×	`cbrt-prod` `pow1/3` `associate-l` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 196

Calls

4 calls:

1.0ms	(tanh x)
1.0ms	(tanh x)
66.0ms	(* (* (tanh x) (tanh x)) (tanh x))
45.0ms	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

series432.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(tanh x)
83.0ms	(tanh x)
132.0ms	(* (* (tanh x) (tanh x)) (tanh x))
114.0ms	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

simplify776.0ms

Counts

208 → 208

Iterations

Iter	Nodes
2	2414
1	799
0	309

prune2.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes19.0ms

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
1	2
0	2

end0.0ms

sample10.3s

Algorithm

intervals

Results

4.9s	7630×	body	10240	exit
2.7s	3374×	body	1280	valid
1.5s	2413×	body	640	valid
538.0ms	608×	body	160	valid
360.0ms	1180×	body	320	valid
37.0ms	425×	body	80	valid