Details

sample32.0ms

Algorithm

intervals

Results

16.0ms	264×	body	80	valid
1.0ms	5×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify3.3s

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: 4.7b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
4.7b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

rewrite36.0ms

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` `insert-posit16` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `fma-udef` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

29.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
1.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

series741.0ms

Counts

2 → 6

Calls

2 calls:

285.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
456.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

simplify1.8s

Counts

55 → 55

Iterations

Iter	Nodes
done	5003
2	1391
1	432
0	150

prune326.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x))
4.7b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
4.7b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
4.7b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

rewrite3.0ms

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)

series2.8s

Counts

4 → 12

Calls

4 calls:

1.3s	(cbrt (fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x))
455.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
495.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
533.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

simplify2.8s

Counts

59 → 59

Iterations

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

prune581.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.0b

localize60.0ms

Local error

Found 4 expressions with local error:

4.7b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
4.7b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
4.7b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
4.7b	(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)
0.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

series2.0s

Counts

4 → 12

Calls

4 calls:

519.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
496.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
458.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
498.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

simplify2.8s

Counts

56 → 56

Iterations

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

prune507.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (- (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))))
4.7b	(fma (* z y) (cbrt (* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))))) x)
10.0b	(cbrt (* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite1.5s

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:

296.0ms	(* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))))
152.0ms	(* (- (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)
446.0ms	(cbrt (* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y)))))

series1.6s

Counts

4 → 12

Calls

4 calls:

496.0ms	(* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))))
412.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y))))
411.0ms	(fma (* z y) (cbrt (* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))))) x)
292.0ms	(cbrt (* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y)))))

simplify11.4s

Counts

3746 → 3746

Iterations

Iter	Nodes
done	6781
0	6781

prune59.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.0b

regimes265.0ms

Accuracy

0% (2.2b remaining)

Error of 4.2b against oracle of 2.0b and baseline of 4.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample832.0ms

Algorithm

intervals

Results

575.0ms	8314×	body	80	valid
46.0ms	99×	body	640	valid
13.0ms	45×	body	1280	valid
9.0ms	58×	body	320	valid
4.0ms	37×	body	160	valid