Details

sample36.0ms

Algorithm

intervals

Results

18.0ms	272×	body	80	valid
1.0ms	3×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize34.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
3.4b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

20.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
1.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

series816.0ms

Counts

2 → 6

Calls

2 calls:

359.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
456.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

simplify1.7s

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
2	1389
1	430
0	148

prune487.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.9b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x))
3.4b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
3.4b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
3.4b	(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` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

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)

series2.9s

Counts

4 → 12

Calls

4 calls:

1.4s	(cbrt (fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x))
486.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
500.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
500.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

simplify3.1s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
4	4117
3	1027
2	348
1	144
0	56

prune514.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.9b

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

prune17.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 1.9b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* x z))

rewrite9.0ms

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` `log1p-expm1-u` `flip--`

Counts

1 → 20

Calls

1 calls:

8.0ms

(- x (* x z))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(- x (* x z))

simplify1.4s

Counts

23 → 23

Iterations

Iter	Nodes
done	5003
3	1184
2	309
1	90
0	39

prune87.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 1.9b

regimes340.0ms

Accuracy

0% (2.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.2s	8353×	body	80	valid
59.0ms	109×	body	640	valid
20.0ms	48×	body	1280	valid
11.0ms	52×	body	320	valid
6.0ms	39×	body	160	valid