Details

sample307.0ms

Algorithm

intervals

Results

149.0ms	226×	body	10240	exit
85.0ms	83×	body	1280	valid
41.0ms	89×	body	640	valid
13.0ms	43×	body	320	valid
5.0ms	27×	body	160	valid
1.0ms	14×	body	80	valid

simplify74.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

74.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.4b

localize16.0ms

Local error

Found 3 expressions with local error:

6.8b	(- (exp x) (exp (- x)))
1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))

rewrite117.0ms

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

71.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
25.0ms	(- (exp x) (exp (- x)))
19.0ms	(+ (exp x) (exp (- x)))

series231.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

114.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
75.0ms	(- (exp x) (exp (- x)))
42.0ms	(+ (exp x) (exp (- x)))

simplify3.8s

Counts

69 → 85

Calls

69 calls:

Slowest

366.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
284.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
248.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
245.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
210.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))

prune693.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite1.0ms

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

1.0ms

(tanh x)

series138.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

138.0ms

(tanh x)

simplify730.0ms

Counts

3 → 14

Calls

3 calls:

Slowest

375.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
290.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
63.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune138.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

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)

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
12×	`prod-exp`
10×	`*-un-lft-identity` `cbrt-unprod`
9×	`associate-r` `associate-l` `pow-prod-down` `add-cube-cbrt`
6×	`add-log-exp`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `distribute-lft1-in` `flip3-+` `distribute-rgt-out` `pow-exp` `flip-+`

Counts

4 → 82

Calls

4 calls:

Slowest

77.0ms	(* (* (* x x) -1/3) x)
53.0ms	(+ (* (* (* x x) -1/3) x) x)
15.0ms	(* (* x x) -1/3)
8.0ms	(* (pow x 5) 2/15)

series283.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

103.0ms	(+ (* (* (* x x) -1/3) x) x)
75.0ms	(* (pow x 5) 2/15)
67.0ms	(* (* (* x x) -1/3) x)
37.0ms	(* (* x x) -1/3)

simplify3.7s

Counts

55 → 94

Calls

55 calls:

Slowest

654.0ms	(* (* (* (* (* x x) -1/3) (* (* x x) -1/3)) (* (* x x) -1/3)) (* (* x x) x))
365.0ms	(* (exp (* (* (* x x) -1/3) x)) (exp x))
235.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* -1/3 -1/3) -1/3))
226.0ms	(- x (* 1/3 (pow x 3)))
224.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* -1/3 -1/3) -1/3))

prune749.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

end0.0ms

sample10.5s

Algorithm

intervals

Results

5.8s	7609×	body	10240	exit
2.3s	3259×	body	1280	valid
1.4s	2427×	body	640	valid
419.0ms	1272×	body	320	valid
145.0ms	646×	body	160	valid
71.0ms	396×	body	80	valid