Details

sample274.0ms

Algorithm

intervals

Results

119.0ms	232×	body	10240	exit
66.0ms	109×	body	1280	valid
62.0ms	83×	body	640	valid
9.0ms	32×	body	320	valid
3.0ms	19×	body	160	valid
1.0ms	13×	body	80	valid

simplify88.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

88.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize39.0ms

Local error

Found 2 expressions with local error:

5.3b	(- (exp x) (exp (- x)))
0.7b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

rewrite62.0ms

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

50.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
12.0ms	(- (exp x) (exp (- x)))

series158.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

98.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
59.0ms	(- (exp x) (exp (- x)))

simplify6.6s

Counts

93 → 69

Calls

93 calls:

Slowest

497.0ms	(* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x))))
356.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
351.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
350.0ms	(* (* (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))) (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))))
348.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))

prune610.0ms

Pruning

3 alts after pruning (2 fresh and 1 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

2.0ms

(tanh x)

series104.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

104.0ms

(tanh x)

simplify1.6s

Counts

17 → 14

Calls

17 calls:

Slowest

402.0ms	(* (* (tanh x) (tanh x)) (tanh x))
358.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
313.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
79.0ms	(* (cbrt (tanh x)) (cbrt (tanh x)))
77.0ms	(- (exp (* 2 x)) 1)

prune117.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

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))

rewrite370.0ms

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

270.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
65.0ms	(* (* (* x x) -1/3) x)
22.0ms	(* (* x x) -1/3)
10.0ms	(* (pow x 5) 2/15)

series281.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

105.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
98.0ms	(* (pow x 5) 2/15)
44.0ms	(* (* (* x x) -1/3) x)
34.0ms	(* (* x x) -1/3)

simplify12.1s

Counts

96 → 94

Calls

96 calls:

Slowest

992.0ms	(* (cbrt (* (pow x 5) 2/15)) (cbrt (* (pow x 5) 2/15)))
637.0ms	(* (* (* (* (* x x) -1/3) (* (* x x) -1/3)) (* (* x x) -1/3)) (* (* x x) x))
520.0ms	(* (cbrt (+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))) (cbrt (+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))))
496.0ms	(* (* (* (* (* x x) -1/3) x) (* (* (* x x) -1/3) x)) (* (* (* x x) -1/3) x))
447.0ms	(exp (+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15)))

prune830.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample11.0s

Algorithm

intervals

Results

5.1s	7588×	body	10240	exit
3.3s	3345×	body	1280	valid
1.7s	2472×	body	640	valid
339.0ms	1178×	body	320	valid
169.0ms	592×	body	160	valid
37.0ms	413×	body	80	valid