Details

sample305.0ms

Algorithm

intervals

Results

113.0ms	304×	body	10240	exit
105.0ms	96×	body	640	valid
51.0ms	95×	body	1280	valid
8.0ms	33×	body	320	valid
3.0ms	19×	body	160	valid
1.0ms	13×	body	80	valid

simplify4.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5009
13	2611
12	814
11	468
10	306
9	201
8	156
7	122
6	81
5	59
4	41
3	31
2	25
1	15
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.7b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.7b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.0b	(- (exp x) (exp (- x)))

rewrite193.0ms

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:

29.0ms	(+ (exp x) (exp (- x)))
117.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
40.0ms	(- (exp x) (exp (- x)))

series283.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (exp x) (exp (- x)))
155.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
79.0ms	(- (exp x) (exp (- x)))

simplify5.0s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	3680
2	1038
1	357
0	147

prune670.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

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)

series146.0ms

Counts

1 → 3

Calls

1 calls:

146.0ms

(tanh x)

simplify3.7s

Counts

15 → 15

Iterations

Iter	Nodes
done	5054
4	3000
3	626
2	206
1	93
0	44

prune95.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow-plus` `pow-prod-up`
5×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `*-un-lft-identity`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-sqr` `fma-udef`
1×	`associate-l` `pow3` `*-commutative` `unswap-sqr`

Counts

3 → 50

Calls

3 calls:

1.0ms	(fma -1/3 (* (* x x) x) (fma 2/15 (pow x 5) x))
1.0ms	(fma 2/15 (pow x 5) x)
38.0ms	(* (* x x) x)

series396.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(fma -1/3 (* (* x x) x) (fma 2/15 (pow x 5) x))
227.0ms	(fma 2/15 (pow x 5) x)
63.0ms	(* (* x x) x)

simplify3.0s

Counts

59 → 59

Iterations

Iter	Nodes
done	5000
3	1648
2	398
1	134
0	66

prune331.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(tanh x)
5.1b	(log (exp (tanh x)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

3.0ms	(tanh x)
6.0ms	(log (exp (tanh x)))

series319.0ms

Counts

2 → 6

Calls

2 calls:

169.0ms	(tanh x)
150.0ms	(log (exp (tanh x)))

simplify4.2s

Counts

35 → 35

Iterations

Iter	Nodes
done	5061
4	3291
3	738
2	267
1	127
0	67

prune220.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes58.0ms

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
done	2
0	2

end0.0ms

sample11.5s

Algorithm

intervals

Results

6.2s	7490×	body	10240	exit
3.1s	3306×	body	1280	valid
1.2s	2387×	body	640	valid
330.0ms	1223×	body	320	valid
223.0ms	683×	body	160	valid
32.0ms	401×	body	80	valid