Details

sample195.0ms

Algorithm

intervals

Results

93.0ms	221×	body	10240	exit
55.0ms	119×	body	1280	valid
21.0ms	73×	body	640	valid
6.0ms	37×	body	320	valid
2.0ms	15×	body	160	valid
1.0ms	12×	body	80	valid

simplify36.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.3b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
4.7b	(- (exp x) (exp (- x)))

rewrite124.0ms

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-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`associate-/r*`
3×	`pow1`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `tanh-undef` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 73

Calls

3 calls:

20.0ms	(+ (exp x) (exp (- x)))
78.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
24.0ms	(- (exp x) (exp (- x)))

series198.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (exp x) (exp (- x)))
105.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
63.0ms	(- (exp x) (exp (- x)))

simplify57.0ms

Counts: 82 → 82

prune222.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

(tanh x)

series99.0ms

Counts

1 → 3

Calls

1 calls:

99.0ms

(tanh x)

simplify65.0ms

Counts: 13 → 13

prune26.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sqr-pow`
2×	`pow-to-exp` `diff-log` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `sub-neg` `flip3--` `flip3-+` `unpow3` `associate--l+` `flip--` `flip-+`

Counts

4 → 81

Calls

4 calls:

39.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
13.0ms	(+ x (* 2/15 (pow x 5)))
16.0ms	(* 2/15 (pow x 5))
14.0ms	(* 1/3 (pow x 3))

series378.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
164.0ms	(+ x (* 2/15 (pow x 5)))
76.0ms	(* 2/15 (pow x 5))
60.0ms	(* 1/3 (pow x 3))

simplify41.0ms

Counts: 93 → 93

prune211.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes10.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify53.0ms

end0.0ms

sample7.0s

Algorithm

intervals

Results

3.1s	7608×	body	10240	exit
2.4s	3327×	body	1280	valid
790.0ms	2471×	body	640	valid
206.0ms	1192×	body	320	valid
68.0ms	593×	body	160	valid
28.0ms	417×	body	80	valid