Details

sample213.0ms

Algorithm

intervals

Results

78.0ms	241×	body	10240	exit
53.0ms	99×	body	1280	valid
49.0ms	81×	body	640	valid
10.0ms	44×	body	320	valid
2.0ms	18×	body	160	valid
1.0ms	14×	body	80	valid

simplify49.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3716
7	555
6	136
5	70
4	42
3	31
2	25
1	15
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize12.0ms

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)))

rewrite141.0ms

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` `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 → 94

Calls

3 calls:

21.0ms	(+ (exp x) (exp (- x)))
100.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
15.0ms	(- (exp x) (exp (- x)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (exp x) (exp (- x)))
100.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
72.0ms	(- (exp x) (exp (- x)))

simplify1.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5004
2	1688
1	358
0	147

prune414.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite2.0ms

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` `log1p-expm1-u` `tanh-def` `add-log-exp`

Counts

1 → 12

Calls

1 calls:

2.0ms

(tanh x)

series98.0ms

Counts

1 → 3

Calls

1 calls:

98.0ms

(tanh x)

simplify1.7s

Counts

15 → 15

Iterations

Iter	Nodes
done	5002
4	3556
3	667
2	209
1	93
0	44

prune62.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1 (exp (+ x x)))
0.8b	(/ (expm1 (+ x x)) (+ 1 (exp (+ x x))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `times-frac` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`fma-def` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-sub` `div-exp` `div-inv` `expm1-udef`

Counts

2 → 53

Calls

2 calls:

13.0ms	(+ 1 (exp (+ x x)))
34.0ms	(/ (expm1 (+ x x)) (+ 1 (exp (+ x x))))

series102.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ 1 (exp (+ x x)))
85.0ms	(/ (expm1 (+ x x)) (+ 1 (exp (+ x x))))

simplify982.0ms

Counts

59 → 59

Iterations

Iter	Nodes
done	5002
2	1062
1	225
0	93

prune308.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 20

Calls

2 calls:

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

series266.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(fma (pow x 3) -1/3 (fma 2/15 (pow x 5) x))
187.0ms	(fma 2/15 (pow x 5) x)

simplify663.0ms

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
3	852
2	161
1	56
0	33

prune140.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes44.0ms

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

sample8.4s

Algorithm

intervals

Results

4.4s	7425×	body	10240	exit
1.9s	3391×	body	1280	valid
1.3s	2390×	body	640	valid
337.0ms	1209×	body	320	valid
77.0ms	601×	body	160	valid
26.0ms	409×	body	80	valid