Details

sample109.0ms

Algorithm

intervals

Results

42.0ms

463×

body

valid

simplify158.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (17.0ms)

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

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

series498.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(fma a b (fma x y (* z t)))
328.0ms	(fma c i (fma a b (fma x y (* z t))))
84.0ms	(fma x y (* z t))

simplify724.0ms

Counts

39 → 39

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	47	430
1	64	420
2	165	366
3	799	366
done	5000	366

prune272.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite2.0ms

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

series481.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(fma a b (* x y))
101.0ms	(fma t z (fma a b (* x y)))
330.0ms	(fma c i (fma t z (fma a b (* x y))))

simplify789.0ms

Counts

39 → 39

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	45	430
1	65	420
2	202	366
3	1205	366
done	5000	366

prune185.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

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:

13.0ms	(* (cbrt (fma c i (fma t z (fma a b (* x y))))) (cbrt (fma c i (fma t z (fma a b (* x y))))))
1.0ms	(cbrt (fma c i (fma t z (fma a b (* x y)))))
1.0ms	(cbrt (fma c i (fma t z (fma a b (* x y)))))
1.0ms	(cbrt (fma c i (fma t z (fma a b (* x y)))))

series757.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(* (cbrt (fma c i (fma t z (fma a b (* x y))))) (cbrt (fma c i (fma t z (fma a b (* x y))))))
173.0ms	(cbrt (fma c i (fma t z (fma a b (* x y)))))
152.0ms	(cbrt (fma c i (fma t z (fma a b (* x y)))))
182.0ms	(cbrt (fma c i (fma t z (fma a b (* x y)))))

simplify4.8s

Counts

93 → 93

Iterations

Useful iterations: done (4.8s)

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

prune585.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
37×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

1.0ms	(cbrt (fma c i (fma t z (fma a b (* x y)))))
1.0ms	(cbrt (fma c i (fma t z (fma a b (* x y)))))
1.0ms	(cbrt (fma c i (fma t z (fma a b (* x y)))))
26.0ms	(* (cbrt (cbrt (fma c i (fma t z (fma a b (* x y)))))) (cbrt (cbrt (fma c i (fma t z (fma a b (* x y)))))))

series762.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (fma c i (fma t z (fma a b (* x y)))))
135.0ms	(cbrt (fma c i (fma t z (fma a b (* x y)))))
184.0ms	(cbrt (fma c i (fma t z (fma a b (* x y)))))
284.0ms	(* (cbrt (cbrt (fma c i (fma t z (fma a b (* x y)))))) (cbrt (cbrt (fma c i (fma t z (fma a b (* x y)))))))

simplify2.5s

Counts

107 → 107

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	116	3053
1	249	2880
2	754	2678
3	3346	2262
done	5000	2221

prune513.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes448.0ms

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

sample2.5s

Algorithm

intervals

Results

1.3s

13635×

body

valid