Details

sample290.0ms

Algorithm

intervals

Results

173.0ms	309×	body	10240	exit
54.0ms	91×	body	1280	valid
34.0ms	83×	body	640	valid
13.0ms	49×	body	320	valid
3.0ms	20×	body	160	valid
1.0ms	13×	body	80	valid

simplify50.0ms

Calls

1 calls:

Slowest

50.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize15.0ms

Local error

Found 3 expressions with local error:

8.1b	(- (exp x) (exp (- x)))
1.2b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
20×	`times-frac`
9×	`prod-diff`
7×	`add-log-exp`
7×	`distribute-lft-out`
6×	`difference-of-squares`
6×	`distribute-lft-out--`
5×	`associate-/l*`
5×	`add-exp-log`
5×	`add-cbrt-cube`
4×	`associate-/r*`
3×	`log1p-expm1-u`
3×	`fma-neg`
3×	`fma-def`
3×	`pow1`
3×	`expm1-log1p-u`
2×	`associate-/l/`
2×	`flip--`
2×	`flip-+`
2×	`associate-/r/`
2×	`flip3--`
2×	`flip3-+`
1×	`div-inv`
1×	`tanh-undef`
1×	`div-exp`
1×	`div-sub`
1×	`diff-log`
1×	`frac-2neg`
1×	`sub-neg`
1×	`sum-log`
1×	`clear-num`
1×	`+-commutative`
1×	`cbrt-undiv`

Calls

3 calls:

Slowest

17.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.0ms	(- (exp x) (exp (- x)))
4.0ms	(+ (exp x) (exp (- x)))

series175.0ms

Calls

3 calls:

Slowest

93.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
50.0ms	(- (exp x) (exp (- x)))
32.0ms	(+ (exp x) (exp (- x)))

simplify2.5s

Calls

91 calls:

Slowest

357.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
234.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
159.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
115.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
109.0ms	(/ (* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))

prune796.0ms

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)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-log-exp`
1×	`tanh-def`
1×	`log1p-expm1-u`
1×	`add-cube-cbrt`
1×	`add-exp-log`
1×	`add-cbrt-cube`
1×	`*-un-lft-identity`
1×	`pow1`
1×	`expm1-log1p-u`
1×	`add-sqr-sqrt`

Calls

1 calls:

Slowest

0.0ms

(tanh x)

series95.0ms

Calls

1 calls:

Slowest

95.0ms

(tanh x)

simplify169.0ms

Calls

3 calls:

Slowest

114.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
31.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
24.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune129.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-cube-cbrt`
8×	`associate-r`
8×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
6×	`add-log-exp`
4×	`log1p-expm1-u`
4×	`add-exp-log`
4×	`add-cbrt-cube`
4×	`pow1`
4×	`expm1-log1p-u`
3×	`prod-diff`
3×	`fma-neg`
2×	`*-commutative`
1×	`flip--`
1×	`flip-+`
1×	`associate--l+`
1×	`unpow3`
1×	`diff-log`
1×	`flip3--`
1×	`flip3-+`
1×	`sub-neg`
1×	`+-commutative`
1×	`cube-mult`

Calls

4 calls:

Slowest

10.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
3.0ms	(* 1/3 (pow x 3))
2.0ms	(* 2/15 (pow x 5))
2.0ms	(+ x (* 2/15 (pow x 5)))

series176.0ms

Calls

4 calls:

Slowest

76.0ms	(+ x (* 2/15 (pow x 5)))
37.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
37.0ms	(* 2/15 (pow x 5))
26.0ms	(* 1/3 (pow x 3))

simplify1.1s

Calls

28 calls:

Slowest

195.0ms	(/ (exp (+ x (* 2/15 (pow x 5)))) (exp (* 1/3 (pow x 3))))
179.0ms	(fma 1 (+ x (* 2/15 (pow x 5))) (- (* (pow x 3) 1/3)))
118.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
108.0ms	(fma (sqrt (+ x (* 2/15 (pow x 5)))) (sqrt (+ x (* 2/15 (pow x 5)))) (- (* (pow x 3) 1/3)))
103.0ms	(fma (* (cbrt (+ x (* 2/15 (pow x 5)))) (cbrt (+ x (* 2/15 (pow x 5))))) (cbrt (+ x (* 2/15 (pow x 5)))) (- (* (pow x 3) 1/3)))

prune643.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample11.2s

Algorithm

intervals

Results

6.4s	7785×	body	10240	exit
2.8s	3360×	body	1280	valid
1.2s	2421×	body	640	valid
393.0ms	1210×	body	320	valid
114.0ms	608×	body	160	valid
39.0ms	401×	body	80	valid