Details

sample72.0ms

Algorithm

intervals

Results

44.0ms	263×	body	80	valid
3.0ms	6×	body	320	valid
1.0ms	2×	body	640	valid
1.0ms	1×	body	1280	valid
1.0ms	2×	body	160	valid

simplify3.4s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(tanh (/ x y))
4.8b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

11.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
2.0ms	(tanh (/ x y))
0.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

series825.0ms

Counts

3 → 9

Calls

3 calls:

278.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
109.0ms	(tanh (/ x y))
438.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

simplify1.8s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1482
1	450
0	160

prune469.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 2.8b

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x))
4.8b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
4.8b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
4.8b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 47

Calls

4 calls:

1.0ms	(cbrt (fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x))
0.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
0.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
0.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

series2.6s

Counts

4 → 12

Calls

4 calls:

1.2s	(cbrt (fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x))
526.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
478.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
474.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

simplify3.0s

Counts

59 → 59

Iterations

Iter	Nodes
done	5000
4	4209
3	1027
2	350
1	146
0	58

prune482.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 2.8b

localize1.0ms

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

prune6.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 2.8b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* x z))

rewrite11.0ms

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:

11.0ms

(- x (* x z))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(- x (* x z))

simplify1.6s

Counts

24 → 24

Iterations

Iter	Nodes
done	5009
3	1257
2	314
1	91
0	40

prune84.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 2.8b

regimes259.0ms

Accuracy

0% (2.2b remaining)

Error of 4.4b against oracle of 2.2b and baseline of 4.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.5s	8351×	body	80	valid
68.0ms	80×	body	640	valid
26.0ms	40×	body	1280	valid
20.0ms	64×	body	320	valid
8.0ms	36×	body	160	valid