Details

sample286.0ms

Algorithm

intervals

Results

164.0ms	264×	body	10240	exit
60.0ms	100×	body	1280	valid
32.0ms	84×	body	640	valid
9.0ms	33×	body	320	valid
4.0ms	26×	body	160	valid
1.0ms	13×	body	80	valid

simplify63.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

63.0ms

(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize36.0ms

Local error

Found 2 expressions with local error:

7.9b	(- (exp x) (exp (- x)))
1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

rewrite70.0ms

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/` `insert-posit16` `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 → 63

Calls

2 calls:

Slowest

49.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
19.0ms	(- (exp x) (exp (- x)))

series180.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

111.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
68.0ms	(- (exp x) (exp (- x)))

simplify3.5s

Counts

64 → 69

Calls

64 calls:

Slowest

367.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
311.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
250.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
214.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
200.0ms	(/ (* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))

prune495.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

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:

Slowest

1.0ms

(tanh x)

series96.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

96.0ms

(tanh x)

simplify645.0ms

Counts

3 → 14

Calls

3 calls:

Slowest

360.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
216.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
68.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune87.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

7.9b	(- (exp (* 2 x)) 1)
0.5b	(/ (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1))
0.0b	(+ (exp (* 2 x)) 1)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
28×	`times-frac`
16×	`add-cube-cbrt`
12×	`difference-of-squares`
9×	`distribute-lft-out`
7×	`associate-/l*` `add-log-exp`
6×	`difference-of-sqr-1` `distribute-lft-out--`
5×	`add-cbrt-cube` `add-exp-log`
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` `div-inv`

Counts

3 → 87

Calls

3 calls:

Slowest

41.0ms	(/ (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1))
18.0ms	(- (exp (* 2 x)) 1)
8.0ms	(+ (exp (* 2 x)) 1)

series98.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

64.0ms	(/ (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1))
17.0ms	(- (exp (* 2 x)) 1)
17.0ms	(+ (exp (* 2 x)) 1)

simplify14.4s

Counts

90 → 96

Calls

90 calls:

Slowest

578.0ms	(/ (sqrt (- (exp (* 2 x)) 1)) (sqrt (+ (exp (* 2 x)) 1)))
379.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
347.0ms	(+ (* (exp (* 2 x)) (exp (* 2 x))) (- (* 1 1) (* (exp (* 2 x)) 1)))
321.0ms	(- (pow (exp (* 2 x)) 3) (pow 1 3))
286.0ms	(/ (- (exp (* 2 x)) 1) (sqrt (+ (exp (* 2 x)) 1)))

prune684.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample10.8s

Algorithm

intervals

Results

5.9s	7730×	body	10240	exit
2.5s	3326×	body	1280	valid
1.6s	2432×	body	640	valid
339.0ms	1202×	body	320	valid
117.0ms	651×	body	160	valid
35.0ms	389×	body	80	valid