Details

sample103.0ms

Algorithm

intervals

Results

44.0ms	266×	body	10240	exit
28.0ms	96×	body	1280	valid
16.0ms	89×	body	640	valid
3.0ms	31×	body	320	valid
1.0ms	20×	body	160	valid
1.0ms	20×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	13
1	15	13
2	25	13
3	31	13
4	42	13
5	55	13
6	58	13
7	94	13
8	129	13
9	169	13
10	272	13
11	419	13
12	718	13
13	1613	13
done	5000	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
2.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.1b	(- (exp x) (exp (- x)))

rewrite49.0ms

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:

6.0ms	(+ (exp x) (exp (- x)))
27.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
13.0ms	(- (exp x) (exp (- x)))

series135.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ (exp x) (exp (- x)))
74.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
35.0ms	(- (exp x) (exp (- x)))

simplify2.5s

Counts

103 → 103

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	147	1789
1	345	1599
2	929	1426
3	3861	1362
done	5000	1362

prune207.0ms

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)

rewrite1.0ms

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 (65.0ms)

Iter	Nodes	Cost
0	44	113
1	96	87
2	204	82
3	554	81
4	2430	81
done	5000	81

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(expm1 (log1p (tanh x)))
0.0b	(log1p (tanh x))
0.0b	(tanh x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 34

Calls

3 calls:

0.0ms	(expm1 (log1p (tanh x)))
0.0ms	(log1p (tanh x))
1.0ms	(tanh x)

series414.0ms

Counts

3 → 9

Calls

3 calls:

203.0ms	(expm1 (log1p (tanh x)))
136.0ms	(log1p (tanh x))
75.0ms	(tanh x)

simplify1.7s

Counts

43 → 43

Iterations

Useful iterations: 3 (122.0ms)

Iter	Nodes	Cost
0	84	347
1	158	253
2	332	200
3	918	193
4	3941	193
done	5001	193

prune100.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2/15 (pow x 5) x)
0.0b	(fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))
0.0b	(log1p (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x)))
0.1b	(expm1 (log1p (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 42

Calls

4 calls:

0.0ms	(fma 2/15 (pow x 5) x)
0.0ms	(fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))
0.0ms	(log1p (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x)))
0.0ms	(expm1 (log1p (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))))

series426.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(fma 2/15 (pow x 5) x)
58.0ms	(fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))
96.0ms	(log1p (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x)))
157.0ms	(expm1 (log1p (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))))

simplify794.0ms

Counts

54 → 54

Iterations

Useful iterations: 3 (251.0ms)

Iter	Nodes	Cost
0	104	816
1	216	767
2	574	665
3	1741	655
done	5001	655

prune178.0ms

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	4	4
done	4	4

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.3s	7780×	body	10240	exit
1.0s	3334×	body	1280	valid
441.0ms	2454×	body	640	valid
139.0ms	1197×	body	320	valid
41.0ms	591×	body	160	valid
16.0ms	424×	body	80	valid