Details

sample215.0ms

Algorithm

intervals

Results

125.0ms	275×	body	10240	exit
44.0ms	98×	body	1280	valid
24.0ms	82×	body	640	valid
8.0ms	43×	body	320	valid
2.0ms	18×	body	160	valid
1.0ms	15×	body	80	valid

simplify26.0ms

Counts

1 → 1

Iterations

Iter	Nodes
7	51
6	51
5	49
4	41
3	31
2	25
1	15
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
4.7b	(- (exp x) (exp (- x)))

rewrite73.0ms

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:

15.0ms	(+ (exp x) (exp (- x)))
39.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
17.0ms	(- (exp x) (exp (- x)))

series179.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (exp x) (exp (- x)))
107.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
45.0ms	(- (exp x) (exp (- x)))

simplify731.0ms

Counts

85 → 85

Iterations

Iter	Nodes
3	2697
2	867
1	296
0	120

prune580.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite2.0ms

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:

2.0ms

(tanh x)

series94.0ms

Counts

1 → 3

Calls

1 calls:

94.0ms

(tanh x)

simplify653.0ms

Counts

14 → 14

Iterations

Iter	Nodes
4	2435
3	551
2	200
1	95
0	43

prune126.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* x (* x x)) -1/3) (+ (* (pow x 5) 2/15) x))
0.1b	(* x (* x x))
0.1b	(* (pow x 5) 2/15)
0.2b	(* (* x (* x x)) -1/3)

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

27×	`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`
5×	`pow-prod-up`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`sum-log` `*-commutative`
2×	`sqr-pow`
1×	`pow2` `pow-to-exp` `+-commutative` `associate-+r+` `flip3-+` `pow-plus` `cube-unmult` `pow-exp` `pow-sqr` `flip-+`

Counts

4 → 87

Calls

4 calls:

58.0ms	(+ (* (* x (* x x)) -1/3) (+ (* (pow x 5) 2/15) x))
18.0ms	(* x (* x x))
11.0ms	(* (pow x 5) 2/15)
59.0ms	(* (* x (* x x)) -1/3)

series273.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(+ (* (* x (* x x)) -1/3) (+ (* (pow x 5) 2/15) x))
54.0ms	(* x (* x x))
73.0ms	(* (pow x 5) 2/15)
58.0ms	(* (* x (* x x)) -1/3)

simplify2.7s

Counts

99 → 99

Iterations

Iter	Nodes
3	5011
2	1044
1	340
0	135

prune762.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify0.0ms

Iterations

Iter	Nodes
1	2
0	2

end0.0ms

sample11.2s

Algorithm

intervals

Results

6.6s	7436×	body	10240	exit
2.4s	3384×	body	1280	valid
1.4s	2365×	body	640	valid
419.0ms	1208×	body	320	valid
116.0ms	626×	body	160	valid
65.0ms	417×	body	80	valid