Details

sample185.0ms

Algorithm

intervals

Results

60.0ms	230×	body	10240	exit
45.0ms	103×	body	1280	valid
40.0ms	42×	body	320	valid
20.0ms	75×	body	640	valid
2.0ms	21×	body	160	valid
1.0ms	15×	body	80	valid

simplify6.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	301
1	15	301
2	25	301
3	31	301
4	42	301
5	66	301
6	130	301
7	523	301
8	3482	301
done	5000	301

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize11.0ms

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)))

rewrite65.0ms

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:

10.0ms	(+ (exp x) (exp (- x)))
43.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
10.0ms	(- (exp x) (exp (- x)))

series175.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (exp x) (exp (- x)))
98.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
39.0ms	(- (exp x) (exp (- x)))

simplify949.0ms

Counts

82 → 82

Iterations

Useful iterations: 2 (248.0ms)

Iter	Nodes	Cost
0	117	36198
1	293	33951
2	1242	32339
done	5001	32748

prune305.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize4.0ms

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:

1.0ms

(tanh x)

series111.0ms

Counts

1 → 3

Calls

1 calls:

111.0ms

(tanh x)

simplify3.3s

Counts

13 → 13

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	42	3134
1	92	2512
2	227	2441
3	812	2441
4	4595	2441
done	5002	2441

prune39.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite152.0ms

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` `add-log-exp`
7×	`associate-l`
6×	`pow-plus` `pow-prod-up`
4×	`unpow-prod-down` `unswap-sqr`
3×	`*-commutative`
2×	`pow2` `diff-log` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `sum-log` `sub-neg` `flip3--` `pow3` `pow-exp` `associate--l+` `flip--`

Counts

4 → 88

Calls

4 calls:

49.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (* (* x x) x)))
14.0ms	(* 2/15 (pow x 5))
23.0ms	(* (* x x) x)
62.0ms	(* 1/3 (* (* x x) x))

series213.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (* (* x x) x)))
60.0ms	(* 2/15 (pow x 5))
36.0ms	(* (* x x) x)
57.0ms	(* 1/3 (* (* x x) x))

simplify1.3s

Counts

100 → 100

Iterations

Useful iterations: 2 (412.0ms)

Iter	Nodes	Cost
0	126	27555
1	359	23704
2	1972	23267
done	5001	23267

prune225.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	56
done	2	56

end0.0ms

sample7.3s

Algorithm

intervals

Results

3.9s	7689×	body	10240	exit
1.9s	3371×	body	1280	valid
852.0ms	2363×	body	640	valid
252.0ms	1204×	body	320	valid
71.0ms	637×	body	160	valid
25.0ms	425×	body	80	valid