Details

sample314.0ms

Algorithm

intervals

Results

168.0ms	250×	body	10240	exit
84.0ms	112×	body	1280	valid
30.0ms	69×	body	640	valid
10.0ms	33×	body	320	valid
3.0ms	16×	body	160	valid
3.0ms	26×	body	80	valid

simplify89.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

89.0ms

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 55.9b

localize15.0ms

Local error

Found 3 expressions with local error:

4.8b	(- (exp x) (exp (- x)))
1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))

rewrite62.0ms

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

38.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
14.0ms	(- (exp x) (exp (- x)))
9.0ms	(+ (exp x) (exp (- x)))

series206.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

110.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
62.0ms	(- (exp x) (exp (- x)))
35.0ms	(+ (exp x) (exp (- x)))

simplify3.7s

Counts

69 → 85

Calls

69 calls:

Slowest

393.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
337.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
277.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
238.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
175.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))

prune648.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

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)

series111.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

111.0ms

(tanh x)

simplify653.0ms

Counts

3 → 14

Calls

3 calls:

Slowest

329.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
271.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
52.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune76.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize27.0ms

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))

rewrite405.0ms

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

297.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
74.0ms	(* (* (* x x) -1/3) x)
26.0ms	(* (* x x) -1/3)
8.0ms	(* (pow x 5) 2/15)

series302.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

105.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
77.0ms	(* (* (* x x) -1/3) x)
75.0ms	(* (pow x 5) 2/15)
45.0ms	(* (* x x) -1/3)

simplify4.5s

Counts

55 → 94

Calls

55 calls:

Slowest

1.0s	(* (* (* (* (* x x) -1/3) (* (* x x) -1/3)) (* (* x x) -1/3)) (* (* x x) x))
376.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
358.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
316.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
246.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* -1/3 -1/3) -1/3))

prune875.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (sqrt (tanh x)) (sqrt (tanh x)))
0.0b	(tanh x)
0.0b	(tanh x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

24×	`sqrt-div`
23×	`add-sqr-sqrt`
18×	`pow1` `sqrt-prod`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`tanh-def`
9×	`frac-times`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`associate-r` `associate-l`
5×	`add-cbrt-cube` `add-exp-log` `pow-prod-up`
4×	`unswap-sqr`
3×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `insert-posit16` `add-log-exp`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 87

Calls

3 calls:

Slowest

29.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))
3.0ms	(tanh x)
2.0ms	(tanh x)

series328.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

122.0ms	(tanh x)
105.0ms	(tanh x)
101.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))

simplify10.2s

Counts

92 → 96

Calls

92 calls:

Slowest

424.0ms	(* (sqrt (- (exp (* 2 x)) 1)) (sqrt (tanh x)))
407.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
391.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
361.0ms	(* (sqrt (- (exp (* 2 x)) 1)) (sqrt (- 1 (exp (* -2 x)))))
360.0ms	(* (sqrt (- 1 (exp (* -2 x)))) (sqrt (tanh x)))

prune824.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes41.0ms

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

6.6s	7558×	body	10240	exit
2.2s	3295×	body	1280	valid
1.2s	2473×	body	640	valid
377.0ms	1213×	body	320	valid
104.0ms	582×	body	160	valid
38.0ms	437×	body	80	valid