Details

sample132.0ms

Algorithm

intervals

Results

56.0ms	228×	body	10240	exit
42.0ms	124×	body	1280	valid
13.0ms	63×	body	640	valid
4.0ms	35×	body	320	valid
1.0ms	17×	body	160	valid
1.0ms	17×	body	80	valid

simplify37.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.2b

localize37.0ms

Local error

Found 2 expressions with local error:

1.2b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
4.9b	(- (exp x) (exp (- x)))

rewrite83.0ms

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

Counts

2 → 61

Calls

2 calls:

64.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
17.0ms	(- (exp x) (exp (- x)))

series124.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
40.0ms	(- (exp x) (exp (- x)))

simplify100.0ms

Counts: 67 → 67

prune152.0ms

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)

series86.0ms

Counts

1 → 3

Calls

1 calls:

86.0ms

(tanh x)

simplify71.0ms

Counts: 13 → 13

prune30.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

37.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
13.0ms	(* 2/15 (pow x 5))
14.0ms	(* 1/3 (pow x 3))

series162.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
60.0ms	(* 2/15 (pow x 5))
41.0ms	(* 1/3 (pow x 3))

simplify38.0ms

Counts: 79 → 79

prune162.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.3s

Algorithm

intervals

Results

3.5s	7596×	body	10240	exit
1.3s	3291×	body	1280	valid
929.0ms	2422×	body	640	valid
175.0ms	1230×	body	320	valid
56.0ms	643×	body	160	valid
19.0ms	414×	body	80	valid