Details

sample99.0ms

Algorithm

intervals

Results

35.0ms	220×	body	10240	exit
31.0ms	108×	body	1280	valid
13.0ms	77×	body	640	valid
5.0ms	41×	body	320	valid
1.0ms	18×	body	160	valid
0.0ms	12×	body	80	valid

simplify2.4s

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	56	13
6	59	13
7	95	13
8	110	13
9	155	13
10	227	13
11	395	13
12	965	13
13	3061	13
done	5001	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.8b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.2b	(- (exp x) (exp (- x)))

rewrite95.0ms

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:

13.0ms	(+ (exp x) (exp (- x)))
61.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
18.0ms	(- (exp x) (exp (- x)))

series146.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (exp x) (exp (- x)))
74.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
43.0ms	(- (exp x) (exp (- x)))

simplify2.2s

Counts

103 → 103

Iterations

Useful iterations: 3 (882.0ms)

Iter	Nodes	Cost
0	147	1789
1	342	1599
2	944	1426
3	3562	1362
done	5000	1362

prune205.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite2.0ms

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:

1.0ms

(tanh x)

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(tanh x)

simplify1.2s

Counts

15 → 15

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	44	113
1	92	87
2	201	82
3	594	81
4	2826	81
done	5000	81

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (* 2 x)) 1)
0.5b	(/ (expm1 (* 2 x)) (+ (exp (* 2 x)) 1))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

11.0ms	(+ (exp (* 2 x)) 1)
18.0ms	(/ (expm1 (* 2 x)) (+ (exp (* 2 x)) 1))

series64.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (exp (* 2 x)) 1)
54.0ms	(/ (expm1 (* 2 x)) (+ (exp (* 2 x)) 1))

simplify1.8s

Counts

59 → 59

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	89	861
1	195	820
2	500	742
3	1522	706
done	5000	705

prune142.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

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))

series169.0ms

Counts

2 → 6

Calls

2 calls:

117.0ms	(fma (pow x 5) 2/15 x)
52.0ms	(fma (pow x 3) -1/3 (fma (pow x 5) 2/15 x))

simplify2.4s

Counts

26 → 26

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	34	298
1	57	292
2	156	255
3	677	255
4	4187	255
done	5000	255

prune63.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
done	2	2

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.2s	7384×	body	10240	exit
978.0ms	3355×	body	1280	valid
412.0ms	2389×	body	640	valid
132.0ms	1215×	body	320	valid
41.0ms	627×	body	160	valid
14.0ms	414×	body	80	valid