Details

sample307.0ms

Algorithm

intervals

Results

149.0ms	282×	body	10240	exit
95.0ms	113×	body	1280	valid
33.0ms	74×	body	640	valid
11.0ms	38×	body	320	valid
5.0ms	24×	body	160	valid
1.0ms	7×	body	80	valid

simplify78.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

78.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.4b

localize29.0ms

Local error

Found 2 expressions with local error:

6.1b	(- (exp x) (exp (- x)))
1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

rewrite67.0ms

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

44.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
21.0ms	(- (exp x) (exp (- x)))

series160.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

96.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
64.0ms	(- (exp x) (exp (- x)))

simplify6.6s

Counts

93 → 69

Calls

93 calls:

Slowest

480.0ms	(* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x))))
462.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
333.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
313.0ms	(* (* (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))) (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))))
290.0ms	(* (+ (exp x) (exp (- x))) (+ (* (exp x) (exp x)) (+ (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))

prune574.0ms

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)

series118.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

118.0ms

(tanh x)

simplify1.6s

Counts

17 → 14

Calls

17 calls:

Slowest

489.0ms	(* (* (tanh x) (tanh x)) (tanh x))
366.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
248.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
81.0ms	(* (cbrt (tanh x)) (cbrt (tanh x)))
72.0ms	(- 1 (exp (* -2 x)))

prune101.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x -1/3)
0.1b	(* (* x x) (* x -1/3))
0.1b	(* (pow x 5) 2/15)
0.0b	(+ (+ (* (* x x) (* x -1/3)) x) (* (pow x 5) 2/15))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
16×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-l`
10×	`cbrt-unprod`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
7×	`associate-r`
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

126.0ms	(+ (+ (* (* x x) (* x -1/3)) x) (* (pow x 5) 2/15))
21.0ms	(* (* x x) (* x -1/3))
14.0ms	(* (pow x 5) 2/15)
5.0ms	(* x -1/3)

series229.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

83.0ms	(* (pow x 5) 2/15)
69.0ms	(* (* x x) (* x -1/3))
60.0ms	(+ (+ (* (* x x) (* x -1/3)) x) (* (pow x 5) 2/15))
16.0ms	(* x -1/3)

simplify12.1s

Counts

96 → 94

Calls

96 calls:

Slowest

888.0ms	(* (* (* (* x x) (* x -1/3)) (* (* x x) (* x -1/3))) (* (* x x) (* x -1/3)))
638.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* -1/3 -1/3) -1/3)))
628.0ms	(cbrt (+ (+ (* (* x x) (* x -1/3)) x) (* (pow x 5) 2/15)))
621.0ms	(sqrt (+ (+ (* (* x x) (* x -1/3)) x) (* (pow x 5) 2/15)))
567.0ms	(sqrt (+ (+ (* (* x x) (* x -1/3)) x) (* (pow x 5) 2/15)))

prune806.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

end0.0ms

sample10.7s

Algorithm

intervals

Results

5.8s	7309×	body	10240	exit
2.4s	3405×	body	1280	valid
1.1s	2352×	body	640	valid
830.0ms	1178×	body	320	valid
155.0ms	644×	body	160	valid
77.0ms	421×	body	80	valid