Details

sample106.0ms

Algorithm

intervals

Results

44.0ms	247×	body	10240	exit
31.0ms	104×	body	1280	valid
16.0ms	85×	body	640	valid
4.0ms	37×	body	320	valid
1.0ms	18×	body	160	valid
0.0ms	12×	body	80	valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	13
1	15	13
2	25	13
3	31	13
4	42	13
5	52	13
6	55	13
7	87	13
8	120	13
9	155	13
10	252	13
11	382	13
12	644	13
13	1526	13
done	5001	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.7b	(- (exp x) (exp (- x)))

rewrite32.0ms

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:

24.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.0ms	(- (exp x) (exp (- x)))

series108.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
37.0ms	(- (exp x) (exp (- x)))

simplify1.0s

Counts

67 → 67

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	106	1228
1	250	1185
2	600	1107
3	1571	1103
done	5001	1101

prune124.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite1.0ms

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)

series74.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

(tanh x)

simplify1.3s

Counts

13 → 13

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	42	107
1	90	83
2	194	79
3	525	79
4	2306	79
done	5000	79

prune25.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

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))

rewrite29.0ms

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:

2.0ms	(+ x (* 2/15 (pow x 5)))
13.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
5.0ms	(* 2/15 (pow x 5))
7.0ms	(* 1/3 (pow x 3))

series242.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(+ x (* 2/15 (pow x 5)))
54.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
44.0ms	(* 2/15 (pow x 5))
38.0ms	(* 1/3 (pow x 3))

simplify1.9s

Counts

93 → 93

Iterations

Useful iterations: 3 (575.0ms)

Iter	Nodes	Cost
0	133	981
1	325	861
2	933	823
3	4283	814
done	5000	814

prune179.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
done	2	2

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.4s	7671×	body	10240	exit
1.0s	3274×	body	1280	valid
457.0ms	2426×	body	640	valid
145.0ms	1225×	body	320	valid
48.0ms	664×	body	160	valid
16.0ms	411×	body	80	valid