Details

sample60.0ms

Algorithm

intervals

Results

35.0ms	313×	body	80	valid
2.0ms	3×	body	1280	valid
1.0ms	3×	body	640	valid
1.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify2.6s

Counts

1 → 1

Iterations

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

prune15.0ms

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

series102.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(fma (+ y z) 2 t)
60.0ms	(fma (fma (+ y z) 2 t) x (* y 5.0))

simplify3.3s

Counts

28 → 28

Iterations

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

prune189.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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:

17.0ms	(* (cbrt (fma (+ y z) 2 t)) (cbrt (fma (+ y z) 2 t)))
2.0ms	(cbrt (fma (+ y z) 2 t))
8.0ms	(cbrt (fma (+ y z) 2 t))
2.0ms	(cbrt (fma (+ y z) 2 t))

series1.1s

Counts

4 → 12

Calls

4 calls:

298.0ms	(* (cbrt (fma (+ y z) 2 t)) (cbrt (fma (+ y z) 2 t)))
293.0ms	(cbrt (fma (+ y z) 2 t))
238.0ms	(cbrt (fma (+ y z) 2 t))
313.0ms	(cbrt (fma (+ y z) 2 t))

simplify1.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
3	1570
2	536
1	212
0	99

prune722.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))))
0.5b	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
0.5b	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
0.5b	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))

rewrite19.0ms

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:

14.0ms	(* (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))))
1.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
1.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
1.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))

series2.8s

Counts

4 → 12

Calls

4 calls:

1.3s	(* (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))))
468.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
505.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
556.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))

simplify2.8s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
3	2538
2	935
1	386
0	161

prune663.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
0.5b	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
0.5b	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
0.5b	(cbrt (* (* (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 55

Calls

4 calls:

1.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
1.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
1.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
15.0ms	(cbrt (* (* (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))))

series2.1s

Counts

4 → 12

Calls

4 calls:

492.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
503.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
532.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
544.0ms	(cbrt (* (* (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))))

simplify3.1s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
4	4017
3	1176
2	434
1	198
0	96

prune558.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes243.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	10453×	body	80	valid
57.0ms	73×	body	1280	valid
31.0ms	94×	body	640	valid
13.0ms	53×	body	320	valid
6.0ms	40×	body	160	valid