Details

sample409.0ms

Algorithm

intervals

Results

235.0ms	263×	body	10240	exit
91.0ms	106×	body	1280	valid
46.0ms	84×	body	640	valid
14.0ms	37×	body	320	valid
6.0ms	23×	body	160	valid
1.0ms	6×	body	80	valid

simplify14.5s

Counts

1 → 1

Iterations

Iter	Nodes
15	9856
14	1999
13	591
12	238
11	133
10	84
9	64
8	58
7	55
6	51
5	47
4	39
3	29
2	23
1	15
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.6b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.6b	(- (exp x) (exp (- x)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
20×	`times-frac`
14×	`add-cube-cbrt`
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×	`pow1` `insert-posit16`
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 → 76

Calls

3 calls:

10.0ms	(+ (exp x) (exp (- x)))
40.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
22.0ms	(- (exp x) (exp (- x)))

series233.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ (exp x) (exp (- x)))
117.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
75.0ms	(- (exp x) (exp (- x)))

simplify860.0ms

Counts

85 → 85

Iterations

Iter	Nodes
3	2756
2	871
1	294
0	120

prune255.0ms

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` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `tanh-def` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

1.0ms

(tanh x)

series115.0ms

Counts

1 → 3

Calls

1 calls:

115.0ms

(tanh x)

simplify769.0ms

Counts

14 → 14

Iterations

Iter	Nodes
4	2416
3	545
2	198
1	93
0	43

prune49.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (pow x 5) 2/15)
0.1b	(* (* x -1/3) (* x x))
0.3b	(* x -1/3)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
19×	`add-cbrt-cube`
17×	`pow1`
15×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-l`
10×	`cbrt-unprod`
9×	`pow-prod-down`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
4×	`unpow-prod-down` `unswap-sqr`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

3 → 68

Calls

3 calls:

15.0ms	(* (pow x 5) 2/15)
35.0ms	(* (* x -1/3) (* x x))
6.0ms	(* x -1/3)

series163.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(* (pow x 5) 2/15)
53.0ms	(* (* x -1/3) (* x x))
27.0ms	(* x -1/3)

simplify1.3s

Counts

77 → 77

Iterations

Iter	Nodes
3	2078
2	650
1	226
0	103

prune227.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh x)
0.0b	(tanh x)
0.1b	(* (* (tanh x) (tanh x)) (tanh x))
40.6b	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

162×	`frac-times`
98×	`tanh-def`
63×	`cbrt-div`
54×	`associate-*l/`
30×	`associate-*r/`
23×	`pow1`
9×	`add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow2` `pow3` `pow-sqr`
1×	`cbrt-prod` `pow1/3` `associate-l` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 188

Calls

4 calls:

1.0ms	(tanh x)
1.0ms	(tanh x)
46.0ms	(* (* (tanh x) (tanh x)) (tanh x))
26.0ms	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

series461.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(tanh x)
106.0ms	(tanh x)
159.0ms	(* (* (tanh x) (tanh x)) (tanh x))
103.0ms	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

simplify676.0ms

Counts

200 → 200

Iterations

Iter	Nodes
2	2015
1	761
0	303

prune877.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (1.8b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	16
1	16
0	11

end0.0ms

sample10.5s

Algorithm

intervals

Results

5.7s	7677×	body	10240	exit
2.2s	3209×	body	1280	valid
1.4s	2504×	body	640	valid
737.0ms	1212×	body	320	valid
117.0ms	664×	body	160	valid
37.0ms	411×	body	80	valid