Details

sample222.0ms

Algorithm

intervals

Results

115.0ms	243×	body	10240	exit
54.0ms	106×	body	1280	valid
29.0ms	78×	body	640	valid
10.0ms	45×	body	320	valid
2.0ms	14×	body	160	valid
1.0ms	13×	body	80	valid

simplify11.3s

Counts

1 → 1

Iterations

Iter	Nodes
15	9602
14	1972
13	611
12	247
11	137
10	88
9	68
8	62
7	59
6	55
5	51
4	39
3	29
2	23
1	15
0	7

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.7b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.6b	(- (exp x) (exp (- x)))

rewrite137.0ms

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)))
81.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
32.0ms	(- (exp x) (exp (- x)))

series176.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (exp x) (exp (- x)))
96.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
55.0ms	(- (exp x) (exp (- x)))

simplify1.3s

Counts

106 → 106

Iterations

Iter	Nodes
3	3283
2	1002
1	358
0	150

prune920.0ms

Pruning

3 alts after pruning (3 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)

series88.0ms

Counts

1 → 3

Calls

1 calls:

88.0ms

(tanh x)

simplify738.0ms

Counts

16 → 16

Iterations

Iter	Nodes
4	2482
3	563
2	196
1	92
0	45

prune97.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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 (pow x 5) 2/15 x)
0.0ms	(fma (* (* x x) x) -1/3 (fma (pow x 5) 2/15 x))
21.0ms	(* (* x x) x)

series257.0ms

Counts

3 → 9

Calls

3 calls:

143.0ms	(fma (pow x 5) 2/15 x)
76.0ms	(fma (* (* x x) x) -1/3 (fma (pow x 5) 2/15 x))
37.0ms	(* (* x x) x)

simplify3.3s

Counts

62 → 62

Iterations

Iter	Nodes
4	5685
3	1285
2	375
1	131
0	70

prune518.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- (exp x) (exp (- x))))
0.7b	(/ (log (exp (- (exp x) (exp (- x))))) (+ (exp x) (exp (- x))))
5.6b	(log (exp (- (exp x) (exp (- x)))))
5.6b	(- (exp x) (exp (- x)))

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
62×	`add-sqr-sqrt`
46×	`add-cube-cbrt`
36×	`times-frac` `log-pow`
35×	`exp-prod`
27×	`prod-diff`
22×	`exp-sum`
14×	`log-prod`
10×	`pow1` `distribute-lft-out`
9×	`associate-/l*` `add-log-exp`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `associate-/r*` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `exp-diff` `fma-neg`
2×	`log-div` `diff-log` `associate-/r/` `rem-exp-log`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `rem-log-exp` `flip-+` `div-inv` `flip--`

Counts

4 → 157

Calls

4 calls:

36.0ms	(exp (- (exp x) (exp (- x))))
156.0ms	(/ (log (exp (- (exp x) (exp (- x))))) (+ (exp x) (exp (- x))))
44.0ms	(log (exp (- (exp x) (exp (- x)))))
17.0ms	(- (exp x) (exp (- x)))

series306.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(exp (- (exp x) (exp (- x))))
101.0ms	(/ (log (exp (- (exp x) (exp (- x))))) (+ (exp x) (exp (- x))))
71.0ms	(log (exp (- (exp x) (exp (- x)))))
75.0ms	(- (exp x) (exp (- x)))

simplify1.2s

Counts

169 → 169

Iterations

Iter	Nodes
3	3223
2	1069
1	433
0	222

prune1.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

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

sample10.5s

Algorithm

intervals

Results

5.7s	7490×	body	10240	exit
2.8s	3279×	body	1280	valid
1.3s	2454×	body	640	valid
389.0ms	1287×	body	320	valid
102.0ms	606×	body	160	valid
33.0ms	374×	body	80	valid