Details

sample69.0ms

Algorithm

intervals

Results

42.0ms	265×	body	80	valid
2.0ms	3×	body	1280	valid
2.0ms	3×	body	640	valid
1.0ms	2×	body	320	valid

simplify3.4s

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(tanh (/ x y))
5.5b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

rewrite14.0ms

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:

1.0ms	(tanh (/ t y))
10.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
2.0ms	(tanh (/ x y))
0.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

series1.0s

Counts

4 → 12

Calls

4 calls:

117.0ms	(tanh (/ t y))
307.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
122.0ms	(tanh (/ x y))
473.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

simplify1.6s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1495
1	454
0	165

prune615.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.3b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x))
5.5b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
5.5b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
5.5b	(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)

series2.4s

Counts

4 → 12

Calls

4 calls:

1.1s	(cbrt (fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x))
390.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
432.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
441.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

simplify2.7s

Counts

59 → 59

Iterations

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

prune429.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.3b

localize118.0ms

Local error

Found 4 expressions with local error:

5.5b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
5.5b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
5.5b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
5.5b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

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

series1.9s

Counts

4 → 12

Calls

4 calls:

460.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
452.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
531.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
484.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

simplify2.9s

Counts

56 → 56

Iterations

Iter	Nodes
done	5002
4	2383
3	507
2	185
1	70
0	24

prune560.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.3b

localize66.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))))
0.1b	(* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y))))
5.5b	(fma (* z y) (cbrt (* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))))) x)
10.8b	(cbrt (* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite813.0ms

Algorithm

rewrite-expression-head

Rules

7992×	`frac-sub`
6171×	`frac-times`
5328×	`tanh-def`
1727×	`cbrt-div`
888×	`flip3--` `flip--`
561×	`associate-*l/`
297×	`associate-*r/`
49×	`*-un-lft-identity`
46×	`add-sqr-sqrt`
36×	`prod-diff`
33×	`add-cube-cbrt`
30×	`pow1`
22×	`distribute-rgt-in` `distribute-lft-in`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-r`
7×	`pow-plus` `swap-sqr` `pow-prod-up` `distribute-lft-out--`
6×	`associate-l`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `pow-sqr`
2×	`pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube` `fma-udef`

Counts

4 → 3734

Calls

4 calls:

213.0ms	(* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))))
101.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y))))
0.0ms	(fma (* z y) (cbrt (* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))))) x)
167.0ms	(cbrt (* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y)))))

series2.1s

Counts

4 → 12

Calls

4 calls:

533.0ms	(* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))))
387.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y))))
441.0ms	(fma (* z y) (cbrt (* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))))) x)
750.0ms	(cbrt (* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y)))))

simplify12.2s

Counts

3746 → 3746

Iterations

Iter	Nodes
done	6781
0	6781

prune1.0m

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.3b

regimes358.0ms

Accuracy

0% (2.0b remaining)

Error of 4.1b against oracle of 2.1b and baseline of 4.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s	8302×	body	80	valid
43.0ms	87×	body	640	valid
39.0ms	61×	body	1280	valid
21.0ms	63×	body	320	valid
10.0ms	44×	body	160	valid