Details

sample157.0ms

Algorithm

intervals

Results

69.0ms	257×	body	10240	exit
43.0ms	110×	body	1280	valid
21.0ms	75×	body	640	valid
6.0ms	37×	body	320	valid
2.0ms	22×	body	160	valid
1.0ms	12×	body	80	valid

simplify6.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3482
7	523
6	130
5	66
4	42
3	31
2	25
1	15
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.2b

localize11.0ms

Local error

Found 2 expressions with local error:

1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.8b	(- (exp x) (exp (- x)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
20×	`times-frac`
13×	`add-cube-cbrt`
6×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `tanh-undef` `flip-+` `div-inv`

Counts

2 → 61

Calls

2 calls:

48.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
11.0ms	(- (exp x) (exp (- x)))

series168.0ms

Counts

2 → 6

Calls

2 calls:

105.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
64.0ms	(- (exp x) (exp (- x)))

simplify1.4s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	1060
1	264
0	106

prune319.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `tanh-def` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

2.0ms

(tanh x)

series111.0ms

Counts

1 → 3

Calls

1 calls:

110.0ms

(tanh x)

simplify2.7s

Counts

13 → 13

Iterations

Iter	Nodes
done	5002
4	4595
3	812
2	227
1	92
0	42

prune43.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1`
23×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`-un-lft-identity` `associate-r` `associate-l*` `pow-prod-down` `add-cube-cbrt`
6×	`add-log-exp`
5×	`pow-prod-up`
4×	`unpow-prod-down` `unswap-sqr`
3×	`*-commutative`
2×	`sqr-pow`
1×	`pow2` `pow-to-exp` `+-commutative` `sum-log` `flip3-+` `pow-plus` `cube-unmult` `pow-exp` `pow-sqr` `flip-+`

Counts

4 → 81

Calls

4 calls:

33.0ms	(+ (* -1/3 (* x (* x x))) x)
16.0ms	(* 2/15 (pow x 5))
13.0ms	(* x (* x x))
41.0ms	(* -1/3 (* x (* x x)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(+ (* -1/3 (* x (* x x))) x)
63.0ms	(* 2/15 (pow x 5))
41.0ms	(* x (* x x))
49.0ms	(* -1/3 (* x (* x x)))

simplify1.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1561
1	323
0	123

prune332.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes42.0ms

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

sample7.6s

Algorithm

intervals

Results

4.0s	7524×	body	10240	exit
1.6s	3308×	body	1280	valid
829.0ms	2463×	body	640	valid
678.0ms	1223×	body	320	valid
164.0ms	626×	body	160	valid
25.0ms	380×	body	80	valid