Details

sample170.0ms

Algorithm

intervals

Results

72.0ms	267×	body	10240	exit
50.0ms	102×	body	1280	valid
22.0ms	80×	body	640	valid
7.0ms	43×	body	320	valid
2.0ms	23×	body	160	valid
0.0ms	8×	body	80	valid

simplify6.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3482
7	523
6	130
5	66
4	42
3	31
2	25
1	15
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
7.1b	(- (exp x) (exp (- x)))

rewrite84.0ms

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`
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 → 73

Calls

3 calls:

13.0ms	(+ (exp x) (exp (- x)))
58.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
10.0ms	(- (exp x) (exp (- x)))

series173.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (exp x) (exp (- x)))
88.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
55.0ms	(- (exp x) (exp (- x)))

simplify824.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
2	1242
1	293
0	117

prune294.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

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` `tanh-def` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

2.0ms

(tanh x)

series110.0ms

Counts

1 → 3

Calls

1 calls:

110.0ms

(tanh x)

simplify2.3s

Counts

13 → 13

Iterations

Iter	Nodes
done	5002
4	4595
3	812
2	227
1	92
0	42

prune65.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
23×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-r`
10×	`cbrt-unprod`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt`
7×	`associate-l`
6×	`pow-plus` `pow-prod-up` `add-log-exp`
4×	`unpow-prod-down` `unswap-sqr`
3×	`*-commutative`
2×	`pow2` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `flip3-+` `pow3` `pow-exp` `flip-+`

Counts

4 → 85

Calls

4 calls:

10.0ms	(+ x (* -1/3 (* (* x x) x)))
16.0ms	(* 2/15 (pow x 5))
25.0ms	(* (* x x) x)
61.0ms	(* -1/3 (* (* x x) x))

series297.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(+ x (* -1/3 (* (* x x) x)))
58.0ms	(* 2/15 (pow x 5))
47.0ms	(* (* x x) x)
75.0ms	(* -1/3 (* (* x x) x))

simplify1.3s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1837
1	339
0	120

prune334.0ms

Pruning

2 alts after pruning (0 fresh and 2 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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	2
0	2

end0.0ms

sample7.3s

Algorithm

intervals

Results

4.2s	7593×	body	10240	exit
1.7s	3400×	body	1280	valid
719.0ms	2366×	body	640	valid
220.0ms	1242×	body	320	valid
67.0ms	614×	body	160	valid
23.0ms	378×	body	80	valid