Details

sample196.0ms

Algorithm

intervals

Results

94.0ms	255×	body	10240	exit
52.0ms	115×	body	1280	valid
23.0ms	81×	body	640	valid
7.0ms	37×	body	320	valid
1.0ms	13×	body	160	valid
1.0ms	10×	body	80	valid

simplify634.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize13.0ms

Local error

Found 2 expressions with local error:

1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
4.0b	(- (exp x) (exp (- x)))

rewrite134.0ms

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×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `tanh-undef` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 61

Calls

2 calls:

110.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
22.0ms	(- (exp x) (exp (- x)))

series134.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
44.0ms	(- (exp x) (exp (- x)))

simplify1.3s

Counts: 67 → 67

prune142.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `tanh-def` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(tanh x)

series97.0ms

Counts

1 → 3

Calls

1 calls:

97.0ms

(tanh x)

simplify1.2s

Counts: 13 → 13

prune22.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sqr-pow`
2×	`pow-to-exp` `diff-log` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `sub-neg` `flip3--` `flip3-+` `unpow3` `associate--l+` `flip--` `flip-+`

Counts

4 → 81

Calls

4 calls:

10.0ms	(+ x (* 2/15 (pow x 5)))
42.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
25.0ms	(* 2/15 (pow x 5))
19.0ms	(* 1/3 (pow x 3))

series335.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(+ x (* 2/15 (pow x 5)))
69.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
52.0ms	(* 2/15 (pow x 5))
43.0ms	(* 1/3 (pow x 3))

simplify612.0ms

Counts: 93 → 93

prune254.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.1s

end0.0ms

sample7.2s

Algorithm

intervals

Results

4.2s	7621×	body	10240	exit
1.6s	3385×	body	1280	valid
729.0ms	2446×	body	640	valid
209.0ms	1173×	body	320	valid
70.0ms	603×	body	160	valid
23.0ms	393×	body	80	valid