Details

sample210.0ms

Algorithm

intervals

Results

80.0ms	267×	body	10240	exit
53.0ms	80×	body	640	valid
46.0ms	102×	body	1280	valid
7.0ms	43×	body	320	valid
3.0ms	23×	body	160	valid
0.0ms	8×	body	80	valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5010
13	2564
12	739
11	416
10	285
9	201
8	156
7	122
6	81
5	59
4	41
3	31
2	25
1	15
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.7b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
7.1b	(- (exp x) (exp (- x)))

rewrite98.0ms

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:

15.0ms	(+ (exp x) (exp (- x)))
58.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
21.0ms	(- (exp x) (exp (- x)))

series207.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (exp x) (exp (- x)))
111.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
59.0ms	(- (exp x) (exp (- x)))

simplify2.5s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	3724
2	1044
1	357
0	147

prune434.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite1.0ms

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:

1.0ms

(tanh x)

series85.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

(tanh x)

simplify1.8s

Counts

15 → 15

Iterations

Iter	Nodes
done	5032
4	2952
3	635
2	208
1	93
0	44

prune72.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

0.0ms	(fma (pow x 5) 2/15 (fma -1/3 (* x (* x x)) x))
0.0ms	(fma -1/3 (* x (* x x)) x)
20.0ms	(* x (* x x))

series231.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(fma (pow x 5) 2/15 (fma -1/3 (* x (* x x)) x))
115.0ms	(fma -1/3 (* x (* x x)) x)
51.0ms	(* x (* x x))

simplify1.4s

Counts

55 → 55

Iterations

Iter	Nodes
done	5006
3	1274
2	340
1	123
0	69

prune182.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

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

sample7.7s

Algorithm

intervals

Results

4.6s	7593×	body	10240	exit
1.7s	3400×	body	1280	valid
775.0ms	2366×	body	640	valid
236.0ms	1242×	body	320	valid
104.0ms	614×	body	160	valid
27.0ms	378×	body	80	valid