Details

sample300.0ms

Algorithm

intervals

Results

118.0ms	233×	body	10240	exit
110.0ms	102×	body	1280	valid
41.0ms	77×	body	640	valid
13.0ms	41×	body	320	valid
3.0ms	17×	body	160	valid
2.0ms	19×	body	80	valid

simplify56.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

56.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.1b

localize417.0ms

Local error

Found 2 expressions with local error:

5.7b	(- (exp x) (exp (- x)))
1.2b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

rewrite72.0ms

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

60.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
12.0ms	(- (exp x) (exp (- x)))

series151.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

97.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
54.0ms	(- (exp x) (exp (- x)))

simplify4.0s

Counts

64 → 69

Calls

64 calls:

Slowest

435.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
368.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
328.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
238.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
229.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))

prune588.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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)

series114.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

114.0ms

(tanh x)

simplify775.0ms

Counts

3 → 14

Calls

3 calls:

Slowest

439.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
278.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
56.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune110.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
12×	`prod-exp`
10×	`*-un-lft-identity` `cbrt-unprod`
9×	`associate-r` `associate-l` `pow-prod-down` `add-cube-cbrt`
6×	`add-log-exp`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `distribute-lft1-in` `flip3-+` `distribute-rgt-out` `pow-exp` `flip-+`

Counts

4 → 82

Calls

4 calls:

Slowest

52.0ms	(* (* (* x x) -1/3) x)
48.0ms	(+ (* (* (* x x) -1/3) x) x)
21.0ms	(* (* x x) -1/3)
17.0ms	(* (pow x 5) 2/15)

series285.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

101.0ms	(+ (* (* (* x x) -1/3) x) x)
72.0ms	(* (* (* x x) -1/3) x)
60.0ms	(* (pow x 5) 2/15)
52.0ms	(* (* x x) -1/3)

simplify4.2s

Counts

55 → 94

Calls

55 calls:

Slowest

627.0ms	(* (* (* (* (* x x) -1/3) (* (* x x) -1/3)) (* (* x x) -1/3)) (* (* x x) x))
451.0ms	(* (exp (* (* (* x x) -1/3) x)) (exp x))
259.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* -1/3 -1/3) -1/3))
253.0ms	(* (* (* (pow x 5) (pow x 5)) (pow x 5)) (* (* 2/15 2/15) 2/15))
246.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* -1/3 -1/3) -1/3))

prune757.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes18.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample11.1s

Algorithm

intervals

Results

6.2s	7545×	body	10240	exit
2.8s	3335×	body	1280	valid
1.2s	2514×	body	640	valid
444.0ms	1205×	body	320	valid
190.0ms	556×	body	160	valid
35.0ms	390×	body	80	valid