Details

sample311.0ms

Algorithm

intervals

Results

164.0ms	241×	body	10240	exit
82.0ms	111×	body	1280	valid
36.0ms	81×	body	640	valid
8.0ms	28×	body	320	valid
4.0ms	19×	body	160	valid
2.0ms	17×	body	80	valid

simplify58.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

58.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize24.0ms

Local error

Found 3 expressions with local error:

5.8b	(- (exp x) (exp (- x)))
2.7b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
20×	`times-frac`
9×	`prod-diff`
7×	`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×	`expm1-log1p-u` `pow1` `fma-def` `fma-neg` `insert-posit16` `log1p-expm1-u`
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 → 97

Calls

3 calls:

Slowest

78.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
18.0ms	(- (exp x) (exp (- x)))
12.0ms	(+ (exp x) (exp (- x)))

series213.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

125.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
60.0ms	(- (exp x) (exp (- x)))
28.0ms	(+ (exp x) (exp (- x)))

simplify5.9s

Counts

91 → 106

Calls

91 calls:

Slowest

406.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
397.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
238.0ms	(/ (* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
228.0ms	(fma 1 (exp x) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
225.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))

prune868.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `tanh-def` `add-log-exp`

Counts

1 → 13

Calls

1 calls:

Slowest

1.0ms

(tanh x)

series104.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

104.0ms

(tanh x)

simplify549.0ms

Counts

3 → 16

Calls

3 calls:

Slowest

302.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
153.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
93.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune85.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

41.3b	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))
0.1b	(* (* (tanh x) (tanh x)) (tanh x))
0.0b	(* (tanh x) (tanh x))
0.0b	(tanh x)

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

171×	`frac-times`
105×	`tanh-def`
63×	`cbrt-div`
57×	`associate-*l/`
33×	`associate-*r/`
30×	`pow1`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Counts

4 → 226

Calls

4 calls:

Slowest

74.0ms	(* (* (tanh x) (tanh x)) (tanh x))
47.0ms	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))
23.0ms	(* (tanh x) (tanh x))
2.0ms	(tanh x)

series489.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

138.0ms	(* (* (tanh x) (tanh x)) (tanh x))
127.0ms	(* (tanh x) (tanh x))
123.0ms	(tanh x)
101.0ms	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

simplify1.4m

Counts

254 → 238

Calls

254 calls:

Slowest

1.2s	(* (* (+ (exp x) (exp (- x))) (+ (exp (* 2 x)) 1)) (+ 1 (exp (* -2 x))))
932.0ms	(cbrt (* (* (- (exp x) (exp (- x))) (tanh x)) (- (exp (* 2 x)) 1)))
908.0ms	(* (* (- (exp (* 2 x)) 1) (tanh x)) (- 1 (exp (* -2 x))))
893.0ms	(* (* (+ (exp (* 2 x)) 1) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x))))
892.0ms	(* (+ (exp x) (exp (- x))) (+ (exp (* 2 x)) 1))

prune2.4s

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

sample11.0s

Algorithm

intervals

Results

5.4s	7656×	body	10240	exit
2.4s	3369×	body	1280	valid
1.5s	2405×	body	640	valid
1.3s	1210×	body	320	valid
108.0ms	605×	body	160	valid
38.0ms	411×	body	80	valid