Details

sample156.0ms

Algorithm

intervals

Results

90.0ms

372×

body

valid

simplify71.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	73
5	73
4	71
3	49
2	24
1	14
0	8

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize400.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma y (fma y x z) t)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma y (fma y x z) t)

series263.0ms

Counts

1 → 3

Calls

1 calls:

263.0ms

(fma y (fma y x z) t)

simplify5.0s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	1570
3	288
2	89
1	40
0	23

prune206.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t)))
0.5b	(cbrt (fma y (fma y x z) t))
0.5b	(cbrt (fma y (fma y x z) t))
0.5b	(cbrt (fma y (fma y x z) t))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `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 → 81

Calls

4 calls:

23.0ms	(* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t)))
1.0ms	(cbrt (fma y (fma y x z) t))
1.0ms	(cbrt (fma y (fma y x z) t))
2.0ms	(cbrt (fma y (fma y x z) t))

series1.2s

Counts

4 → 12

Calls

4 calls:

267.0ms	(* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t)))
285.0ms	(cbrt (fma y (fma y x z) t))
412.0ms	(cbrt (fma y (fma y x z) t))
281.0ms	(cbrt (fma y (fma y x z) t))

simplify10.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
4	3999
3	1134
2	448
1	192
0	87

prune2.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize94.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma y (fma y x z) t))
0.5b	(cbrt (fma y (fma y x z) t))
0.5b	(cbrt (fma y (fma y x z) t))
0.5b	(cbrt (* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

2.0ms	(cbrt (fma y (fma y x z) t))
2.0ms	(cbrt (fma y (fma y x z) t))
2.0ms	(cbrt (fma y (fma y x z) t))
13.0ms	(cbrt (* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t))))

series1.8s

Counts

4 → 12

Calls

4 calls:

273.0ms	(cbrt (fma y (fma y x z) t))
274.0ms	(cbrt (fma y (fma y x z) t))
489.0ms	(cbrt (fma y (fma y x z) t))
764.0ms	(cbrt (* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t))))

simplify6.6s

Counts

62 → 62

Iterations

Iter	Nodes
done	5002
4	2405
3	783
2	303
1	139
0	67

prune1.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize175.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fma y (fma y x z) t) (fma y (fma y x z) t))
0.3b	(* (cbrt (* (fma y (fma y x z) t) (fma y (fma y x z) t))) (cbrt (fma y (fma y x z) t)))
0.5b	(cbrt (fma y (fma y x z) t))
28.8b	(cbrt (* (fma y (fma y x z) t) (fma y (fma y x z) t)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`pow1` `cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-r`
8×	`add-exp-log`
7×	`associate-l`
6×	`add-cbrt-cube`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `pow1/3` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr` `pow-prod-down`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow3` `pow-sqr` `pow-prod-up`

Counts

4 → 82

Calls

4 calls:

15.0ms	(* (fma y (fma y x z) t) (fma y (fma y x z) t))
31.0ms	(* (cbrt (* (fma y (fma y x z) t) (fma y (fma y x z) t))) (cbrt (fma y (fma y x z) t)))
2.0ms	(cbrt (fma y (fma y x z) t))
8.0ms	(cbrt (* (fma y (fma y x z) t) (fma y (fma y x z) t)))

series1.1s

Counts

4 → 12

Calls

4 calls:

314.0ms	(* (fma y (fma y x z) t) (fma y (fma y x z) t))
140.0ms	(* (cbrt (* (fma y (fma y x z) t) (fma y (fma y x z) t))) (cbrt (fma y (fma y x z) t)))
288.0ms	(cbrt (fma y (fma y x z) t))
315.0ms	(cbrt (* (fma y (fma y x z) t) (fma y (fma y x z) t)))

simplify9.5s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
3	2614
2	829
1	304
0	136

prune2.5s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes838.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
0	6

end1.0ms

sample5.1s

Algorithm

intervals

Results

1.5s

11340×

body

valid