Details

sample87.0ms

Algorithm

intervals

Results

37.0ms

452×

body

valid

simplify141.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	15	15
1	27	14
2	62	12
3	119	12
4	156	12
5	158	12
done	158	12

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma c i (fma a b (fma x y (* z t))))
0.0b	(fma x y (* z t))
0.0b	(fma a b (fma x y (* z t)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

3×	`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

3 → 30

Calls

3 calls:

0.0ms	(fma c i (fma a b (fma x y (* z t))))
0.0ms	(fma x y (* z t))
0.0ms	(fma a b (fma x y (* z t)))

series452.0ms

Counts

3 → 9

Calls

3 calls:

300.0ms	(fma c i (fma a b (fma x y (* z t))))
56.0ms	(fma x y (* z t))
96.0ms	(fma a b (fma x y (* z t)))

simplify2.4s

Counts

39 → 39

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	47	430
1	64	420
2	154	366
3	608	366
4	4018	366
done	5000	366

prune216.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma c i (fma t z (fma a b (* x y))))
0.0b	(fma a b (* x y))
0.0b	(fma t z (fma a b (* x y)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`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

3 → 30

Calls

3 calls:

1.0ms	(fma c i (fma t z (fma a b (* x y))))
1.0ms	(fma a b (* x y))
1.0ms	(fma t z (fma a b (* x y)))

series372.0ms

Counts

3 → 9

Calls

3 calls:

246.0ms	(fma c i (fma t z (fma a b (* x y))))
43.0ms	(fma a b (* x y))
83.0ms	(fma t z (fma a b (* x y)))

simplify784.0ms

Counts

39 → 39

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	45	430
1	65	420
2	200	366
3	1154	366
done	5000	366

prune161.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma c i (fma a b (fma x y (* z t))))) (cbrt (fma c i (fma a b (fma x y (* z t))))))
0.6b	(cbrt (fma c i (fma a b (fma x y (* z t)))))
0.6b	(cbrt (fma c i (fma a b (fma x y (* z t)))))
0.6b	(cbrt (fma c i (fma a b (fma x y (* z t)))))

rewrite24.0ms

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:

17.0ms	(* (cbrt (fma c i (fma a b (fma x y (* z t))))) (cbrt (fma c i (fma a b (fma x y (* z t))))))
1.0ms	(cbrt (fma c i (fma a b (fma x y (* z t)))))
1.0ms	(cbrt (fma c i (fma a b (fma x y (* z t)))))
1.0ms	(cbrt (fma c i (fma a b (fma x y (* z t)))))

series699.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt (fma c i (fma a b (fma x y (* z t))))) (cbrt (fma c i (fma a b (fma x y (* z t))))))
165.0ms	(cbrt (fma c i (fma a b (fma x y (* z t)))))
177.0ms	(cbrt (fma c i (fma a b (fma x y (* z t)))))
149.0ms	(cbrt (fma c i (fma a b (fma x y (* z t)))))

simplify4.5s

Counts

93 → 93

Iterations

Useful iterations: done (4.4s)

Iter	Nodes	Cost
0	95	2278
1	223	2123
2	722	1929
3	3990	1640
done	5000	1615

prune433.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x y (* z t))
0.2b	(* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t))))
1.2b	(sqrt (fma x y (* z t)))
1.2b	(sqrt (fma x y (* z t)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma x y (* z t))
13.0ms	(* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t))))
2.0ms	(sqrt (fma x y (* z t)))
2.0ms	(sqrt (fma x y (* z t)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(fma x y (* z t))
49.0ms	(* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t))))
90.0ms	(sqrt (fma x y (* z t)))
87.0ms	(sqrt (fma x y (* z t)))

simplify2.5s

Counts

103 → 103

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	82	1472
1	164	995
2	555	901
3	3444	860
done	5001	838

prune488.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes429.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	12
1	13	12
done	13	12

end0.0ms

sample2.6s

Algorithm

intervals

Results

914.0ms

13613×

body

valid