Details

sample298.0ms

Algorithm

intervals

Results

133.0ms	265×	body	10240	exit
102.0ms	109×	body	1280	valid
32.0ms	81×	body	640	valid
8.0ms	33×	body	320	valid
5.0ms	15×	body	80	valid
3.0ms	18×	body	160	valid

simplify63.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

63.0ms

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize23.0ms

Local error

Found 3 expressions with local error:

4.8b	(- (exp x) (exp (- x)))
1.2b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))

rewrite74.0ms

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-cbrt-cube` `add-exp-log` `associate-/l*`
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` `tanh-undef` `div-inv`

Counts

3 → 76

Calls

3 calls:

Slowest

48.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
14.0ms	(+ (exp x) (exp (- x)))
10.0ms	(- (exp x) (exp (- x)))

series223.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

113.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
68.0ms	(- (exp x) (exp (- x)))
42.0ms	(+ (exp x) (exp (- x)))

simplify4.1s

Counts

69 → 85

Calls

69 calls:

Slowest

342.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
338.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
269.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
266.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
260.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))

prune715.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

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

2.0ms

(tanh x)

series128.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

128.0ms

(tanh x)

simplify657.0ms

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

prune117.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

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) (* (pow x 5) 2/15))

rewrite393.0ms

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

286.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
70.0ms	(* (* (* x x) -1/3) x)
28.0ms	(* (* x x) -1/3)
8.0ms	(* (pow x 5) 2/15)

series237.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

75.0ms	(* (pow x 5) 2/15)
71.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
46.0ms	(* (* (* x x) -1/3) x)
45.0ms	(* (* x x) -1/3)

simplify4.4s

Counts

55 → 94

Calls

55 calls:

Slowest

611.0ms	(* (* (* (* (* x x) -1/3) (* (* x x) -1/3)) (* (* x x) -1/3)) (* (* x x) x))
415.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
389.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
359.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
223.0ms	(* (* (exp (* (* (* x x) -1/3) x)) (exp x)) (exp (* (pow x 5) 2/15)))

prune842.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

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

5.9s	7648×	body	10240	exit
2.7s	3287×	body	1280	valid
1.6s	2479×	body	640	valid
451.0ms	1155×	body	320	valid
115.0ms	627×	body	160	valid
83.0ms	452×	body	80	valid