Details

sample330.0ms

Algorithm

intervals

Results

184.0ms	251×	body	10240	exit
69.0ms	93×	body	1280	valid
42.0ms	86×	body	640	valid
14.0ms	46×	body	320	valid
3.0ms	17×	body	160	valid
1.0ms	14×	body	80	valid

simplify12.9s

Counts

1 → 1

Iterations

Iter	Nodes
15	9602
14	1972
13	611
12	247
11	137
10	88
9	68
8	62
7	59
6	55
5	51
4	39
3	29
2	23
1	15
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.7b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.0b	(- (exp x) (exp (- x)))

rewrite63.0ms

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:

12.0ms	(+ (exp x) (exp (- x)))
38.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
11.0ms	(- (exp x) (exp (- x)))

series178.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (exp x) (exp (- x)))
97.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
51.0ms	(- (exp x) (exp (- x)))

simplify1.2s

Counts

103 → 103

Iterations

Iter	Nodes
3	3265
2	993
1	355
0	147

prune684.0ms

Pruning

3 alts after pruning (3 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)

series98.0ms

Counts

1 → 3

Calls

1 calls:

98.0ms

(tanh x)

simplify731.0ms

Counts

15 → 15

Iterations

Iter	Nodes
4	2486
3	570
2	197
1	91
0	44

prune134.0ms

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

rewrite26.0ms

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 2/15 (pow x 5) x)
0.0ms	(fma -1/3 (* x (* x x)) (fma 2/15 (pow x 5) x))
24.0ms	(* x (* x x))

series278.0ms

Counts

3 → 9

Calls

3 calls:

170.0ms	(fma 2/15 (pow x 5) x)
63.0ms	(fma -1/3 (* x (* x x)) (fma 2/15 (pow x 5) x))
45.0ms	(* x (* x x))

simplify3.6s

Counts

55 → 55

Iterations

Iter	Nodes
4	6978
3	1201
2	304
1	118
0	67

prune455.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(tanh x)
0.0b	(tanh x)
0.2b	(* (sqrt (tanh x)) (sqrt (tanh x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

24×	`sqrt-div`
23×	`add-sqr-sqrt`
18×	`pow1` `sqrt-prod`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`tanh-def`
9×	`frac-times`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`associate-r` `associate-l`
5×	`add-cbrt-cube` `add-exp-log` `pow-prod-up`
4×	`unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 90

Calls

3 calls:

1.0ms	(tanh x)
1.0ms	(tanh x)
14.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))

series343.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(tanh x)
133.0ms	(tanh x)
115.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))

simplify14.3s

Counts

99 → 99

Iterations

Iter	Nodes
4	18766
3	1747
2	495
1	219
0	118

prune690.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes23.0ms

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
1	2
0	2

end0.0ms

sample11.0s

Algorithm

intervals

Results

6.2s	7717×	body	10240	exit
2.8s	3291×	body	1280	valid
1.1s	2381×	body	640	valid
386.0ms	1234×	body	320	valid
114.0ms	620×	body	160	valid
44.0ms	474×	body	80	valid