Details

sample263.0ms

Algorithm

intervals

Results

137.0ms	232×	body	10240	exit
69.0ms	109×	body	1280	valid
31.0ms	83×	body	640	valid
10.0ms	32×	body	320	valid
3.0ms	19×	body	160	valid
1.0ms	13×	body	80	valid

simplify65.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize30.0ms

Local error

Found 2 expressions with local error:

5.3b	(- (exp x) (exp (- x)))
0.7b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

rewrite46.0ms

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

33.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
12.0ms	(- (exp x) (exp (- x)))

series121.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

78.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
42.0ms	(- (exp x) (exp (- x)))

simplify320.0ms

Counts: 93 → 69

prune516.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

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`

Counts

1 → 11

Calls

1 calls:

Slowest

2.0ms

(tanh x)

series78.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

78.0ms

(tanh x)

simplify728.0ms

Counts: 17 → 14

prune88.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
23×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`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`
6×	`pow-plus` `pow-prod-up`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`sum-log` `*-commutative`
2×	`pow2` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `associate-+r+` `flip3-+` `pow3` `pow-exp` `flip-+`

Counts

4 → 91

Calls

4 calls:

Slowest

43.0ms	(* -1/3 (* (* x x) x))
14.0ms	(+ (* (pow x 5) 2/15) (+ x (* -1/3 (* (* x x) x))))
13.0ms	(* (* x x) x)
7.0ms	(* (pow x 5) 2/15)

series214.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

68.0ms	(* (pow x 5) 2/15)
60.0ms	(+ (* (pow x 5) 2/15) (+ x (* -1/3 (* (* x x) x))))
43.0ms	(* -1/3 (* (* x x) x))
42.0ms	(* (* x x) x)

simplify426.0ms

Counts: 104 → 103

prune752.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

5.3b	(- (exp x) (/ 1 (exp x)))
0.7b	(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
0.0b	(/ 1 (exp x))
0.0b	(/ 1 (exp x))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

92×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
72×	`times-frac`
37×	`add-cube-cbrt`
21×	`difference-of-squares`
19×	`div-inv`
18×	`distribute-lft-out`
14×	`associate-/l*` `distribute-lft-out--`
11×	`associate-/r*`
10×	`add-cbrt-cube`
8×	`add-exp-log` `pow-flip`
6×	`pow1` `exp-prod` `add-log-exp`
5×	`div-exp`
4×	`rec-exp` `insert-posit16`
3×	`cbrt-undiv` `clear-num` `frac-2neg`
2×	`flip3--` `1-exp` `associate-/r/` `flip--` `inv-pow` `associate-/l/`
1×	`sub-neg` `flip3-+` `diff-log` `div-sub` `tanh-undef` `flip-+`

Counts

4 → 160

Calls

4 calls:

Slowest

38.0ms	(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
11.0ms	(- (exp x) (/ 1 (exp x)))
7.0ms	(/ 1 (exp x))
5.0ms	(/ 1 (exp x))

series132.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

78.0ms	(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
38.0ms	(- (exp x) (/ 1 (exp x)))
8.0ms	(/ 1 (exp x))
8.0ms	(/ 1 (exp x))

simplify423.0ms

Counts: 236 → 172

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample9.6s

Algorithm

intervals

Results

5.3s	7588×	body	10240	exit
2.2s	3345×	body	1280	valid
1.4s	2472×	body	640	valid
332.0ms	1178×	body	320	valid
104.0ms	592×	body	160	valid
35.0ms	413×	body	80	valid