Details

sample240.0ms

Algorithm

intervals

Results

120.0ms	226×	body	10240	exit
62.0ms	114×	body	1280	valid
25.0ms	65×	body	640	valid
9.0ms	38×	body	320	valid
3.0ms	27×	body	160	valid
1.0ms	12×	body	80	valid

simplify10.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	15	13
2	25	13
3	31	13
4	42	13
5	70	13
6	136	13
7	605	13
8	4776	13
done	5000	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.9b	(- (exp x) (exp (- x)))

rewrite174.0ms

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-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`associate-/r*`
3×	`pow1` `expm1-log1p-u` `fma-def` `fma-neg` `log1p-expm1-u`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `tanh-undef` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 94

Calls

3 calls:

23.0ms	(+ (exp x) (exp (- x)))
106.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
40.0ms	(- (exp x) (exp (- x)))

series225.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (exp x) (exp (- x)))
129.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
59.0ms	(- (exp x) (exp (- x)))

simplify1.5s

Counts

103 → 103

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	147	1789
1	358	1602
2	1682	1430
done	5000	1371

prune249.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `tanh-def` `add-log-exp`

Counts

1 → 12

Calls

1 calls:

2.0ms

(tanh x)

series112.0ms

Counts

1 → 3

Calls

1 calls:

112.0ms

(tanh x)

simplify2.1s

Counts

15 → 15

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	44	113
1	93	87
2	207	82
3	659	81
4	3437	81
done	5000	81

prune45.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

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

series201.0ms

Counts

2 → 6

Calls

2 calls:

143.0ms	(fma (pow x 5) 2/15 x)
58.0ms	(fma (pow x 3) -1/3 (fma (pow x 5) 2/15 x))

simplify932.0ms

Counts

26 → 26

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	34	298
1	57	292
2	188	255
3	1009	255
done	5001	255

prune98.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
done	2	2

end0.0ms

sample7.0s

Algorithm

intervals

Results

3.1s	7504×	body	10240	exit
2.0s	3388×	body	1280	valid
798.0ms	2431×	body	640	valid
585.0ms	1200×	body	320	valid
100.0ms	606×	body	160	valid
21.0ms	375×	body	80	valid