Details

sample319.0ms

Algorithm

intervals

Results

183.0ms	265×	body	10240	exit
72.0ms	108×	body	1280	valid
35.0ms	79×	body	640	valid
10.0ms	31×	body	320	valid
4.0ms	19×	body	160	valid
2.0ms	19×	body	80	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	2082
12	2082
11	1389
10	396
9	196
8	153
7	111
6	81
5	55
4	41
3	31
2	25
1	15
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.0b

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))))
5.4b	(- (exp x) (exp (- x)))

rewrite76.0ms

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)))
54.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
12.0ms	(- (exp x) (exp (- x)))

series207.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (exp x) (exp (- x)))
119.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
41.0ms	(- (exp x) (exp (- x)))

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	2003
3	2003
2	886
1	296
0	120

prune312.0ms

Pruning

3 alts after pruning (2 fresh and 1 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)

series130.0ms

Counts

1 → 3

Calls

1 calls:

130.0ms

(tanh x)

simplify1.0s

Counts

14 → 14

Iterations

Iter	Nodes
done	2003
4	2003
3	628
2	208
1	95
0	43

prune71.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* 1/60 (pow x 5)) (+ (* (* 1/3 x) (* x x)) (+ x x))) (+ (exp x) (exp (- x))))
0.1b	(* 1/60 (pow x 5))
0.1b	(* (* 1/3 x) (* x x))
0.3b	(* 1/3 x)

rewrite452.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
25×	`add-sqr-sqrt` `add-exp-log`
22×	`add-cbrt-cube`
18×	`pow1` `add-cube-cbrt`
12×	`times-frac` `prod-exp`
11×	`associate-r`
10×	`cbrt-unprod`
9×	`pow-prod-down`
7×	`associate-l`
4×	`associate-/r*` `unpow-prod-down` `insert-posit16` `distribute-lft-out` `add-log-exp` `unswap-sqr`
3×	`-commutative` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+` `sqr-pow` `associate-/l/`
1×	`pow-to-exp` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `pow-exp` `div-inv`

Counts

4 → 104

Calls

4 calls:

371.0ms	(/ (+ (* 1/60 (pow x 5)) (+ (* (* 1/3 x) (* x x)) (+ x x))) (+ (exp x) (exp (- x))))
17.0ms	(* 1/60 (pow x 5))
52.0ms	(* (* 1/3 x) (* x x))
10.0ms	(* 1/3 x)

series316.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(/ (+ (* 1/60 (pow x 5)) (+ (* (* 1/3 x) (* x x)) (+ x x))) (+ (exp x) (exp (- x))))
89.0ms	(* 1/60 (pow x 5))
53.0ms	(* (* 1/3 x) (* x x))
17.0ms	(* 1/3 x)

simplify1.4s

Counts

116 → 116

Iterations

Iter	Nodes
done	2002
3	2002
2	1618
1	479
0	196

prune560.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes86.0ms

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

sample9.9s

Algorithm

intervals

Results

5.5s	7612×	body	10240	exit
2.3s	3360×	body	1280	valid
1.4s	2383×	body	640	valid
342.0ms	1199×	body	320	valid
132.0ms	637×	body	160	valid
39.0ms	421×	body	80	valid