Details

sample46.0ms

Algorithm

intervals

Results

21.0ms	266×	body	80	valid
1.0ms	4×	body	640	valid
1.0ms	1×	body	1280	valid
0.0ms	2×	body	320	valid

simplify6.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3035
4	928
3	321
2	146
1	54
0	12

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize161.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(tanh (/ t y))
0.0b	(tanh (/ x y))
5.2b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`prod-diff` `frac-sub`
8×	`tanh-def`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg`
1×	`sub-neg` `flip3--` `diff-log` `fma-udef` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 75

Calls

4 calls:

66.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
10.0ms	(tanh (/ t y))
10.0ms	(tanh (/ x y))
3.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

series2.1s

Counts

4 → 12

Calls

4 calls:

599.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
234.0ms	(tanh (/ t y))
217.0ms	(tanh (/ x y))
1000.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

simplify3.7s

Counts

87 → 87

Iterations

Iter	Nodes
done	5002
2	1496
1	454
0	165

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 3.0b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune42.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 3.0b

localize41.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* x z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `fma-neg` `prod-diff` `add-cube-cbrt` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--`

Counts

1 → 21

Calls

1 calls:

30.0ms

(- x (* x z))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(- x (* x z))

simplify3.1s

Counts

24 → 24

Iterations

Iter	Nodes
done	5008
3	1301
2	310
1	91
0	40

prune361.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 2.9b

localize141.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- x (* x z))) (cbrt (- x (* x z))))
6.5b	(cbrt (- x (* x z)))
6.5b	(cbrt (- x (* x z)))
6.5b	(cbrt (- x (* x z)))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

110.0ms	(* (cbrt (- x (* x z))) (cbrt (- x (* x z))))
15.0ms	(cbrt (- x (* x z)))
15.0ms	(cbrt (- x (* x z)))
16.0ms	(cbrt (- x (* x z)))

series911.0ms

Counts

4 → 12

Calls

4 calls:

298.0ms	(* (cbrt (- x (* x z))) (cbrt (- x (* x z))))
227.0ms	(cbrt (- x (* x z)))
190.0ms	(cbrt (- x (* x z)))
196.0ms	(cbrt (- x (* x z)))

simplify6.4s

Counts

111 → 111

Iterations

Iter	Nodes
done	5002
3	3687
2	1097
1	403
0	155

prune1.5s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 2.9b

regimes1.4s

Accuracy

0% (2.4b remaining)

Error of 4.7b against oracle of 2.3b and baseline of 4.7b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.3s	8359×	body	80	valid
38.0ms	84×	body	640	valid
21.0ms	41×	body	1280	valid
17.0ms	59×	body	320	valid
7.0ms	37×	body	160	valid