Details

sample70.0ms

Algorithm

intervals

Results

34.0ms	274×	body	80	valid
1.0ms	4×	body	640	valid
1.0ms	1×	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

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(tanh (/ x y))
0.2b	(- (tanh (/ t y)) (tanh (/ x y)))
5.1b	(fma (* z y) (- (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:

2.0ms	(tanh (/ t y))
2.0ms	(tanh (/ x y))
16.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
0.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

series1.0s

Counts

4 → 12

Calls

4 calls:

132.0ms	(tanh (/ t y))
111.0ms	(tanh (/ x y))
334.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
469.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

simplify1.6s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1491
1	450
0	161

prune730.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.4b

localize61.0ms

Local error

Found 4 expressions with local error:

5.1b	(fma (* z y) (- (* (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y)))) (tanh (/ x y))) x)
9.2b	(cbrt (tanh (/ t y)))
9.2b	(cbrt (tanh (/ t y)))
9.2b	(cbrt (tanh (/ t y)))

rewrite14.0ms

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:

1.0ms	(fma (* z y) (- (* (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y)))) (tanh (/ x y))) x)
4.0ms	(cbrt (tanh (/ t y)))
4.0ms	(cbrt (tanh (/ t y)))
4.0ms	(cbrt (tanh (/ t y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

440.0ms	(fma (* z y) (- (* (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y)))) (tanh (/ x y))) x)
279.0ms	(cbrt (tanh (/ t y)))
272.0ms	(cbrt (tanh (/ t y)))
316.0ms	(cbrt (tanh (/ t y)))

simplify1.8s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
3	1482
2	451
1	196
0	89

prune657.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.4b

localize59.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x))
5.1b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
5.1b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
5.1b	(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)

series3.0s

Counts

4 → 12

Calls

4 calls:

1.3s	(cbrt (fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x))
628.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
546.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
539.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

simplify2.9s

Counts

55 → 55

Iterations

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

prune564.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 2.4b

localize78.0ms

Local error

Found 4 expressions with local error:

1.4b	(expm1 (log1p (fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)))
5.1b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
5.1b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
5.1b	(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` `log1p-expm1-u` `add-log-exp`
3×	`fma-udef`
1×	`expm1-log1p` `expm1-udef`

Counts

4 → 41

Calls

4 calls:

0.0ms	(expm1 (log1p (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)

series3.1s

Counts

4 → 12

Calls

4 calls:

1.5s	(expm1 (log1p (fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)))
526.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
549.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)
502.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

simplify3.3s

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
4	3205
3	742
2	290
1	129
0	52

prune495.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 2.4b

regimes488.0ms

Accuracy

0% (2.4b remaining)

Error of 4.7b against oracle of 2.2b and baseline of 4.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s	8319×	body	80	valid
31.0ms	110×	body	640	valid
22.0ms	51×	body	1280	valid
11.0ms	57×	body	320	valid
6.0ms	40×	body	160	valid