Details

sample34.0ms

Algorithm

intervals

Results

14.0ms	230×	body	80	valid
3.0ms	10×	body	1280	valid
2.0ms	8×	body	640	valid
1.0ms	2×	body	2560	valid
1.0ms	5×	body	320	valid
0.0ms	1×	body	160	valid

simplify336.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	299
6	299
5	297
4	260
3	147
2	53
1	20
0	8

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 2 y (fma 3 x z))
0.1b	(fma 3 x z)

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 2 y (fma 3 x z))
0.0ms	(fma 3 x z)

series78.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(fma 2 y (fma 3 x z))
30.0ms	(fma 3 x z)

simplify2.6s

Counts

28 → 28

Iterations

Iter	Nodes
done	5004
4	2065
3	402
2	106
1	45
0	32

prune191.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 2 y (+ (* 3 x) z))
0.0b	(+ (* 3 x) z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+` `fma-udef`

Counts

2 → 26

Calls

2 calls:

0.0ms	(fma 2 y (+ (* 3 x) z))
14.0ms	(+ (* 3 x) z)

series60.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(fma 2 y (+ (* 3 x) z))
31.0ms	(+ (* 3 x) z)

simplify1.6s

Counts

32 → 32

Iterations

Iter	Nodes
done	5001
3	1085
2	301
1	112
0	44

prune196.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 3 x z)) (cbrt (fma 3 x z)))
0.5b	(cbrt (fma 3 x z))
0.5b	(cbrt (fma 3 x z))
0.5b	(cbrt (fma 3 x z))

rewrite12.0ms

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:

8.0ms	(* (cbrt (fma 3 x z)) (cbrt (fma 3 x z)))
1.0ms	(cbrt (fma 3 x z))
1.0ms	(cbrt (fma 3 x z))
1.0ms	(cbrt (fma 3 x z))

series1.1s

Counts

4 → 12

Calls

4 calls:

291.0ms	(* (cbrt (fma 3 x z)) (cbrt (fma 3 x z)))
265.0ms	(cbrt (fma 3 x z))
270.0ms	(cbrt (fma 3 x z))
258.0ms	(cbrt (fma 3 x z))

simplify3.0s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
4	4828
3	1490
2	554
1	227
0	103

prune677.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma 3 x z))
0.5b	(cbrt (fma 3 x z))
0.6b	(cbrt (cbrt (fma 3 x z)))
0.6b	(cbrt (* (cbrt (fma 3 x z)) (cbrt (fma 3 x z))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`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`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt (fma 3 x z))
1.0ms	(cbrt (fma 3 x z))
1.0ms	(cbrt (cbrt (fma 3 x z)))
10.0ms	(cbrt (* (cbrt (fma 3 x z)) (cbrt (fma 3 x z))))

series1.0s

Counts

4 → 12

Calls

4 calls:

245.0ms	(cbrt (fma 3 x z))
245.0ms	(cbrt (fma 3 x z))
260.0ms	(cbrt (cbrt (fma 3 x z)))
280.0ms	(cbrt (* (cbrt (fma 3 x z)) (cbrt (fma 3 x z))))

simplify1.9s

Counts

69 → 69

Iterations

Iter	Nodes
done	5003
3	2083
2	645
1	244
0	121

prune586.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes167.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
0	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

959.0ms	7366×	body	80	valid
51.0ms	197×	body	1280	valid
47.0ms	222×	body	640	valid
18.0ms	112×	body	320	valid
11.0ms	38×	body	2560	valid
7.0ms	76×	body	160	valid