Details

sample281.0ms

Algorithm

intervals

Results

142.0ms	224×	body	10240	exit
63.0ms	89×	body	1280	valid
41.0ms	82×	body	640	valid
14.0ms	48×	body	320	valid
5.0ms	29×	body	160	valid
1.0ms	8×	body	80	valid

simplify109.0ms

Calls

1 calls:

Slowest

109.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.7b

localize14.0ms

Local error

Found 3 expressions with local error:

7.2b	(- (exp x) (exp (- x)))
1.0b	(/ (- (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`

Calls

3 calls:

Slowest

58.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
14.0ms	(- (exp x) (exp (- x)))
9.0ms	(+ (exp x) (exp (- x)))

series208.0ms

Calls

3 calls:

Slowest

126.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
57.0ms	(- (exp x) (exp (- x)))
25.0ms	(+ (exp x) (exp (- x)))

simplify4.0s

Calls

69 calls:

Slowest

373.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
342.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
337.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
194.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
191.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))

prune614.0ms

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`

Calls

1 calls:

Slowest

3.0ms

(tanh x)

series105.0ms

Calls

1 calls:

Slowest

105.0ms

(tanh x)

simplify784.0ms

Calls

3 calls:

Slowest

405.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
314.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
64.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune115.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

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))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

1.1s	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
119.0ms	(* (* (* x x) -1/3) x)
35.0ms	(* (* x x) -1/3)
11.0ms	(* (pow x 5) 2/15)

series274.0ms

Calls

4 calls:

Slowest

102.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
77.0ms	(* (pow x 5) 2/15)
48.0ms	(* (* x x) -1/3)
47.0ms	(* (* (* x x) -1/3) x)

simplify11.2s

Calls

118 calls:

Slowest

731.0ms	(* (* (* (* (* x x) -1/3) (* (* x x) -1/3)) (* (* x x) -1/3)) (* (* x x) x))
670.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
589.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
576.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
575.0ms	(* (* (exp (* (* (* x x) -1/3) x)) (exp x)) (exp (* (pow x 5) 2/15)))

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

end0.0ms

sample10.8s

Algorithm

intervals

Results

5.7s	7802×	body	10240	exit
2.3s	3313×	body	1280	valid
1.9s	2423×	body	640	valid
394.0ms	1177×	body	320	valid
177.0ms	654×	body	160	valid
60.0ms	433×	body	80	valid