Details

sample110.0ms

Algorithm

intervals

Results

74.0ms

427×

body

valid

simplify105.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	139
5	139
4	137
3	110
2	60
1	27
0	15

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

3×	`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

3 → 33

Calls

3 calls:

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

series463.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(fma x y (fma c i (* a b)))
50.0ms	(fma c i (* a b))
340.0ms	(fma z t (fma x y (fma c i (* a b))))

simplify887.0ms

Counts

42 → 42

Iterations

Iter	Nodes
done	2022
4	2022
3	627
2	156
1	68
0	50

prune340.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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:

16.0ms	(* (cbrt (fma x y (fma c i (* a b)))) (cbrt (fma x y (fma c i (* a b)))))
2.0ms	(cbrt (fma x y (fma c i (* a b))))
1.0ms	(cbrt (fma x y (fma c i (* a b))))
1.0ms	(cbrt (fma x y (fma c i (* a b))))

series788.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(* (cbrt (fma x y (fma c i (* a b)))) (cbrt (fma x y (fma c i (* a b)))))
165.0ms	(cbrt (fma x y (fma c i (* a b))))
168.0ms	(cbrt (fma x y (fma c i (* a b))))
213.0ms	(cbrt (fma x y (fma c i (* a b))))

simplify1.3s

Counts

97 → 97

Iterations

Iter	Nodes
done	2000
4	2000
3	1722
2	624
1	254
0	106

prune896.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

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 x y (fma c i (* a b))))
1.0ms	(cbrt (fma x y (fma c i (* a b))))
2.0ms	(cbrt (cbrt (fma x y (fma c i (* a b)))))
10.0ms	(cbrt (* (cbrt (fma x y (fma c i (* a b)))) (cbrt (fma x y (fma c i (* a b))))))

series940.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt (fma x y (fma c i (* a b))))
174.0ms	(cbrt (fma x y (fma c i (* a b))))
224.0ms	(cbrt (cbrt (fma x y (fma c i (* a b)))))
348.0ms	(cbrt (* (cbrt (fma x y (fma c i (* a b)))) (cbrt (fma x y (fma c i (* a b))))))

simplify1.2s

Counts

69 → 69

Iterations

Iter	Nodes
done	2000
4	2000
3	1508
2	556
1	254
0	109

prune741.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

81×	`cbrt-prod`
40×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `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 → 108

Calls

4 calls:

28.0ms	(* (cbrt (cbrt (fma x y (fma c i (* a b))))) (cbrt (cbrt (fma x y (fma c i (* a b))))))
2.0ms	(cbrt (cbrt (fma x y (fma c i (* a b)))))
2.0ms	(cbrt (cbrt (fma x y (fma c i (* a b)))))
3.0ms	(cbrt (cbrt (fma x y (fma c i (* a b)))))

series765.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (cbrt (cbrt (fma x y (fma c i (* a b))))) (cbrt (cbrt (fma x y (fma c i (* a b))))))
171.0ms	(cbrt (cbrt (fma x y (fma c i (* a b)))))
167.0ms	(cbrt (cbrt (fma x y (fma c i (* a b)))))
157.0ms	(cbrt (cbrt (fma x y (fma c i (* a b)))))

simplify1.2s

Counts

120 → 120

Iterations

Iter	Nodes
done	2000
4	2000
3	1609
2	650
1	286
0	128

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes927.0ms

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	13
1	13
0	12

end0.0ms

sample2.8s

Algorithm

intervals

Results

2.1s

13724×

body

valid