Details

sample58.0ms

Algorithm

intervals

Results

25.0ms	332×	body	80	valid
1.0ms	3×	body	1280	valid
1.0ms	3×	body	640	valid
0.0ms	1×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 4 (375.0ms)

Iter	Nodes	Cost
0	12	15
1	31	14
2	89	14
3	280	12
4	744	11
5	1269	11
6	1442	11
7	1456	11
done	1456	11

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

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

series124.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(fma 2 (+ y z) t)
98.0ms	(fma x (fma 2 (+ y z) t) (* y 5.0))

simplify3.3s

Counts

26 → 26

Iterations

Useful iterations: 3 (151.0ms)

Iter	Nodes	Cost
0	44	313
1	79	298
2	197	258
3	800	251
4	4529	251
done	5000	251

prune98.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`associate-*l/`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`flip3-+` `associate-l` `*-commutative` `flip-+` `fma-udef`

Counts

2 → 32

Calls

2 calls:

43.0ms	(* (* (+ y z) 2) x)
0.0ms	(fma 5.0 y (* (* (+ y z) 2) x))

series131.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* (* (+ y z) 2) x)
79.0ms	(fma 5.0 y (* (* (+ y z) 2) x))

simplify2.9s

Counts

38 → 38

Iterations

Useful iterations: 2 (132.0ms)

Iter	Nodes	Cost
0	73	429
1	185	406
2	644	339
3	2929	339
done	5002	339

prune143.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite29.0ms

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:

21.0ms	(* (cbrt x) (cbrt x))
2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

308.0ms	(* (cbrt x) (cbrt x))
285.0ms	(cbrt x)
308.0ms	(cbrt x)
332.0ms	(cbrt x)

simplify5.1s

Counts

93 → 93

Iterations

Useful iterations: done (5.1s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune342.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2 (+ y z) t)
0.0b	(fma x (fma 2 (+ y z) t) (* y 5.0))
0.2b	(pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3)
38.6b	(cbrt (pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `unpow3` `fma-udef` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 68

Calls

4 calls:

0.0ms	(fma 2 (+ y z) t)
0.0ms	(fma x (fma 2 (+ y z) t) (* y 5.0))
7.0ms	(pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3)
2.0ms	(cbrt (pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3))

series925.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(fma 2 (+ y z) t)
76.0ms	(fma x (fma 2 (+ y z) t) (* y 5.0))
741.0ms	(pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3)
83.0ms	(cbrt (pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3))

simplify3.6s

Counts

80 → 80

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	112	1489
1	247	1274
2	756	1099
3	4384	1075
done	5000	1075

prune303.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes161.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

850.0ms	10588×	body	80	valid
51.0ms	105×	body	640	valid
43.0ms	61×	body	320	valid
23.0ms	89×	body	1280	valid
3.0ms	27×	body	160	valid