Details

sample270.0ms

Algorithm

intervals

Results

139.0ms	249×	body	10240	exit
72.0ms	118×	body	1280	valid
29.0ms	71×	body	640	valid
9.0ms	34×	body	320	valid
4.0ms	25×	body	160	valid
1.0ms	8×	body	80	valid

simplify111.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

111.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize29.0ms

Local error

Found 3 expressions with local error:

6.5b	(- (exp x) (exp (- x)))
0.7b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))

rewrite84.0ms

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

40.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
28.0ms	(- (exp x) (exp (- x)))
14.0ms	(+ (exp x) (exp (- x)))

series177.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

76.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
64.0ms	(- (exp x) (exp (- x)))
37.0ms	(+ (exp x) (exp (- x)))

simplify3.6s

Counts

69 → 85

Calls

69 calls:

Slowest

319.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
311.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
287.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
243.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
190.0ms	(/ (* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))

prune641.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 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)

series146.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

146.0ms

(tanh x)

simplify672.0ms

Counts

3 → 14

Calls

3 calls:

Slowest

343.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
261.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
66.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune94.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.4b	(* 1/3 x)
0.1b	(* x (* 1/3 x))
0.1b	(* (pow x 5) 1/60)
0.0b	(* x (+ (* x (* 1/3 x)) 2))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-l`
15×	`add-cbrt-cube`
13×	`pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 87

Calls

4 calls:

Slowest

77.0ms	(* x (+ (* x (* 1/3 x)) 2))
12.0ms	(* x (* 1/3 x))
8.0ms	(* (pow x 5) 1/60)
5.0ms	(* 1/3 x)

series270.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

112.0ms	(* x (+ (* x (* 1/3 x)) 2))
93.0ms	(* (pow x 5) 1/60)
37.0ms	(* x (* 1/3 x))
28.0ms	(* 1/3 x)

simplify2.9s

Counts

61 → 99

Calls

61 calls:

Slowest

344.0ms	(+ (* (* x (* 1/3 x)) (* x (* 1/3 x))) (- (* 2 2) (* (* x (* 1/3 x)) 2)))
266.0ms	(* (* (* x x) x) (* (* (+ (* x (* 1/3 x)) 2) (+ (* x (* 1/3 x)) 2)) (+ (* x (* 1/3 x)) 2)))
241.0ms	(* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x)))
192.0ms	(* (* (* 1/3 1/3) 1/3) (* (* x x) x))
188.0ms	(* (* (* (pow x 5) (pow x 5)) (pow x 5)) (* (* 1/60 1/60) 1/60))

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

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	7310×	body	10240	exit
2.4s	3304×	body	1280	valid
1.2s	2479×	body	640	valid
835.0ms	1208×	body	320	valid
181.0ms	615×	body	160	valid
37.0ms	394×	body	80	valid