Details

sample144.0ms

Algorithm

intervals

Results

58.0ms	230×	body	10240	exit
41.0ms	103×	body	1280	valid
19.0ms	75×	body	640	valid
6.0ms	42×	body	320	valid
2.0ms	21×	body	160	valid
1.0ms	15×	body	80	valid

simplify6.2s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
2.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.1b	(- (exp x) (exp (- x)))

rewrite97.0ms

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:

14.0ms	(+ (exp x) (exp (- x)))
64.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
15.0ms	(- (exp x) (exp (- x)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ (exp x) (exp (- x)))
92.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
48.0ms	(- (exp x) (exp (- x)))

simplify939.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
2	1242
1	293
0	117

prune333.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite1.0ms

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:

1.0ms

(tanh x)

series99.0ms

Counts

1 → 3

Calls

1 calls:

98.0ms

(tanh x)

simplify2.6s

Counts

13 → 13

Iterations

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

prune47.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

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

Counts

4 → 81

Calls

4 calls:

10.0ms	(+ (* (pow x 5) 2/15) (* (* x (* x x)) -1/3))
19.0ms	(* (pow x 5) 2/15)
26.0ms	(* x (* x x))
71.0ms	(* (* x (* x x)) -1/3)

series364.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(+ (* (pow x 5) 2/15) (* (* x (* x x)) -1/3))
81.0ms	(* (pow x 5) 2/15)
56.0ms	(* x (* x x))
47.0ms	(* (* x (* x x)) -1/3)

simplify1.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1826
1	321
0	123

prune420.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes37.0ms

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

sample8.6s

Algorithm

intervals

Results

4.7s	7689×	body	10240	exit
2.3s	3371×	body	1280	valid
771.0ms	2363×	body	640	valid
249.0ms	1204×	body	320	valid
79.0ms	637×	body	160	valid
27.0ms	425×	body	80	valid