Details

sample62.0ms

Algorithm

intervals

Results

35.0ms	308×	body	80	valid
3.0ms	5×	body	1280	valid
1.0ms	2×	body	640	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	1591
7	1591
6	1539
5	1279
4	632
3	237
2	88
1	31
0	12

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (+ y z) 2 t)
0.0b	(fma (fma (+ y z) 2 t) x (* y 5.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 22

Calls

2 calls:

0.0ms	(fma (+ y z) 2 t)
1.0ms	(fma (fma (+ y z) 2 t) x (* y 5.0))

series116.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(fma (+ y z) 2 t)
72.0ms	(fma (fma (+ y z) 2 t) x (* y 5.0))

simplify3.0s

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
4	4732
3	810
2	182
1	74
0	44

prune176.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (+ y z) 2 t))
0.5b	(cbrt (fma (+ y z) 2 t))
0.5b	(cbrt (fma (+ y z) 2 t))
0.6b	(* (cbrt (fma (+ y z) 2 t)) (cbrt (fma (+ y z) 2 t)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

1.0ms	(cbrt (fma (+ y z) 2 t))
1.0ms	(cbrt (fma (+ y z) 2 t))
1.0ms	(cbrt (fma (+ y z) 2 t))
12.0ms	(* (cbrt (fma (+ y z) 2 t)) (cbrt (fma (+ y z) 2 t)))

series1.1s

Counts

4 → 12

Calls

4 calls:

250.0ms	(cbrt (fma (+ y z) 2 t))
236.0ms	(cbrt (fma (+ y z) 2 t))
258.0ms	(cbrt (fma (+ y z) 2 t))
323.0ms	(* (cbrt (fma (+ y z) 2 t)) (cbrt (fma (+ y z) 2 t)))

simplify1.8s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
3	1425
2	522
1	212
0	99

prune712.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (+ y z) 2 t))
0.5b	(cbrt (fma (+ y z) 2 t))
0.5b	(cbrt (fma (+ y z) 2 t))
0.6b	(* (* 1 (cbrt (fma (+ y z) 2 t))) (cbrt (fma (+ y z) 2 t)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`add-exp-log`
10×	`*-un-lft-identity`
9×	`add-sqr-sqrt` `pow1` `add-cube-cbrt`
6×	`add-cbrt-cube` `associate-r`
5×	`prod-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `cbrt-unprod`
1×	`1-exp` `swap-sqr` `associate-l` `*-commutative`

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt (fma (+ y z) 2 t))
1.0ms	(cbrt (fma (+ y z) 2 t))
5.0ms	(cbrt (fma (+ y z) 2 t))
28.0ms	(* (* 1 (cbrt (fma (+ y z) 2 t))) (cbrt (fma (+ y z) 2 t)))

series1.0s

Counts

4 → 12

Calls

4 calls:

277.0ms	(cbrt (fma (+ y z) 2 t))
244.0ms	(cbrt (fma (+ y z) 2 t))
236.0ms	(cbrt (fma (+ y z) 2 t))
285.0ms	(* (* 1 (cbrt (fma (+ y z) 2 t))) (cbrt (fma (+ y z) 2 t)))

simplify2.7s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
4	4043
3	1250
2	504
1	236
0	101

prune557.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (fma (+ y z) 2 t)))
0.5b	(cbrt (cbrt (fma (+ y z) 2 t)))
0.5b	(cbrt (cbrt (fma (+ y z) 2 t)))
0.6b	(* (cbrt (fma (+ y z) 2 t)) (* (* (cbrt (cbrt (fma (+ y z) 2 t))) (cbrt (cbrt (fma (+ y z) 2 t)))) (cbrt (cbrt (fma (+ y z) 2 t)))))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
15×	`pow1`
13×	`pow1/3` `add-exp-log` `add-cube-cbrt`
12×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow-prod-down`
6×	`add-cbrt-cube` `associate-l` `prod-exp` `cbrt-unprod`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`swap-sqr` `associate-r` `pow-sqr` `*-commutative`

Counts

4 → 82

Calls

4 calls:

1.0ms	(cbrt (cbrt (fma (+ y z) 2 t)))
1.0ms	(cbrt (cbrt (fma (+ y z) 2 t)))
1.0ms	(cbrt (cbrt (fma (+ y z) 2 t)))
91.0ms	(* (cbrt (fma (+ y z) 2 t)) (* (* (cbrt (cbrt (fma (+ y z) 2 t))) (cbrt (cbrt (fma (+ y z) 2 t)))) (cbrt (cbrt (fma (+ y z) 2 t)))))

series1.6s

Counts

4 → 12

Calls

4 calls:

298.0ms	(cbrt (cbrt (fma (+ y z) 2 t)))
320.0ms	(cbrt (cbrt (fma (+ y z) 2 t)))
256.0ms	(cbrt (cbrt (fma (+ y z) 2 t)))
696.0ms	(* (cbrt (fma (+ y z) 2 t)) (* (* (cbrt (cbrt (fma (+ y z) 2 t))) (cbrt (cbrt (fma (+ y z) 2 t)))) (cbrt (cbrt (fma (+ y z) 2 t)))))

simplify2.1s

Counts

94 → 94

Iterations

Iter	Nodes
done	5006
3	1745
2	667
1	254
0	118

prune807.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes257.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.2s	10663×	body	80	valid
81.0ms	100×	body	640	valid
31.0ms	68×	body	1280	valid
14.0ms	53×	body	320	valid
5.0ms	29×	body	160	valid