Details

sample261.0ms

Algorithm

intervals

Results

129.0ms	287×	body	10240	exit
59.0ms	77×	body	640	valid
50.0ms	102×	body	1280	valid
10.0ms	47×	body	320	valid
3.0ms	17×	body	160	valid
1.0ms	13×	body	80	valid

simplify57.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

57.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize38.0ms

Local error

Found 2 expressions with local error:

5.3b	(- (exp x) (exp (- x)))
0.8b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

rewrite89.0ms

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

66.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
22.0ms	(- (exp x) (exp (- x)))

series150.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

101.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
48.0ms	(- (exp x) (exp (- x)))

simplify3.5s

Counts

64 → 69

Calls

64 calls:

Slowest

396.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
348.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
243.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
220.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
173.0ms	(/ (* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))

prune575.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite3.0ms

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

3.0ms

(tanh x)

series108.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

108.0ms

(tanh x)

simplify685.0ms

Counts

3 → 14

Calls

3 calls:

Slowest

339.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
254.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
91.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune81.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x x) -1/3)
0.1b	(* (* (* x x) -1/3) x)
0.0b	(* (pow x 5) 2/15)
0.0b	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))

rewrite397.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`-un-lft-identity` `associate-r` `associate-l*` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`sum-log` `*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `+-commutative` `associate-+l+` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 82

Calls

4 calls:

Slowest

317.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
47.0ms	(* (* (* x x) -1/3) x)
17.0ms	(* (* x x) -1/3)
14.0ms	(* (pow x 5) 2/15)

series254.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

78.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
74.0ms	(* (* (* x x) -1/3) x)
73.0ms	(* (pow x 5) 2/15)
29.0ms	(* (* x x) -1/3)

simplify4.7s

Counts

55 → 94

Calls

55 calls:

Slowest

591.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* -1/3 -1/3) -1/3))
567.0ms	(* (* (* (* (* x x) -1/3) (* (* x x) -1/3)) (* (* x x) -1/3)) (* (* x x) x))
396.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
358.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
350.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))

prune867.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

end0.0ms

sample10.6s

Algorithm

intervals

Results

5.9s	7637×	body	10240	exit
2.8s	3397×	body	1280	valid
1.2s	2441×	body	640	valid
322.0ms	1180×	body	320	valid
138.0ms	598×	body	160	valid
34.0ms	384×	body	80	valid