Details

sample46.0ms

Algorithm

intervals

Results

19.0ms	257×	body	80	valid
1.0ms	6×	body	640	valid
1.0ms	4×	body	320	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4826
4	1010
3	334
2	147
1	54
0	12

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(tanh (/ x y))
0.1b	(- (tanh (/ t y)) (tanh (/ x y)))
3.1b	(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)

rewrite22.0ms

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` `log1p-expm1-u`
3×	`fma-neg`
1×	`sub-neg` `flip3--` `diff-log` `fma-udef` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 71

Calls

4 calls:

1.0ms	(tanh (/ t y))
6.0ms	(tanh (/ x y))
13.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
0.0ms	(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)

series867.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(tanh (/ t y))
126.0ms	(tanh (/ x y))
337.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
283.0ms	(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)

simplify1.4s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1735
1	450
0	161

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.5b

localize73.0ms

Local error

Found 4 expressions with local error:

3.1b	(fma (* y z) (- (* (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y)))) (tanh (/ x y))) x)
5.6b	(cbrt (tanh (/ t y)))
5.6b	(cbrt (tanh (/ t y)))
5.6b	(cbrt (tanh (/ t y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `cbrt-div`
7×	`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×	`pow1/3` `tanh-def`
1×	`fma-udef`

Counts

4 → 58

Calls

4 calls:

0.0ms	(fma (* y z) (- (* (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y)))) (tanh (/ x y))) x)
2.0ms	(cbrt (tanh (/ t y)))
2.0ms	(cbrt (tanh (/ t y)))
7.0ms	(cbrt (tanh (/ t y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

369.0ms	(fma (* y z) (- (* (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y)))) (tanh (/ x y))) x)
292.0ms	(cbrt (tanh (/ t y)))
230.0ms	(cbrt (tanh (/ t y)))
271.0ms	(cbrt (tanh (/ t y)))

simplify1.4s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
3	2025
2	492
1	196
0	89

prune582.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.5b

localize74.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (tanh (/ t y)) (tanh (/ x y)))
0.1b	(- (tanh (/ t y)) (tanh (/ x y)))
3.1b	(fma (* y z) (cbrt (* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))))) x)
10.2b	(cbrt (* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite795.0ms

Algorithm

rewrite-expression-head

Rules

3906×	`frac-sub`
3025×	`frac-times`
2604×	`tanh-def`
1727×	`cbrt-div`
434×	`flip3--` `flip--`
275×	`associate-*l/`
143×	`associate-*r/`
22×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff` `add-cube-cbrt`
8×	`add-log-exp`
6×	`fma-neg`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
2×	`sub-neg` `diff-log` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube` `fma-udef`

Counts

4 → 1823

Calls

4 calls:

11.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
13.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
1.0ms	(fma (* y z) (cbrt (* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))))) x)
346.0ms	(cbrt (* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y)))))

series1.4s

Counts

4 → 12

Calls

4 calls:

339.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
321.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
378.0ms	(fma (* y z) (cbrt (* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))))) x)
363.0ms	(cbrt (* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y)))))

simplify9.3s

Counts

1835 → 1835

Iterations

Iter	Nodes
done	6671
0	6671

prune31.8s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 1.5b

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

prune1.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 1.5b

regimes266.0ms

Accuracy

0% (2.2b remaining)

Error of 4.5b against oracle of 2.2b and baseline of 4.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.1s	8352×	body	80	valid
27.0ms	100×	body	640	valid
25.0ms	29×	body	1280	valid
13.0ms	64×	body	320	valid
6.0ms	39×	body	160	valid