Details

sample68.0ms

Algorithm

intervals

Results

24.0ms

458×

body

valid

simplify99.0ms

Counts

1 → 1

Iterations

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

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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))))

rewrite2.0ms

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` `log1p-expm1-u` `add-log-exp`

Counts

3 → 30

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))))

series506.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(fma x y (fma c i (* a b)))
67.0ms	(fma c i (* a b))
340.0ms	(fma z t (fma x y (fma c i (* a b))))

simplify1.9s

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
4	3556
3	518
2	124
1	63
0	47

prune334.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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` `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:

10.0ms	(* (cbrt (fma z t (fma x y (fma c i (* a b))))) (cbrt (fma z t (fma x y (fma c i (* a b))))))
1.0ms	(cbrt (fma z t (fma x y (fma c i (* a b)))))
1.0ms	(cbrt (fma z t (fma x y (fma c i (* a b)))))
9.0ms	(cbrt (fma z t (fma x y (fma c i (* a b)))))

series729.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(* (cbrt (fma z t (fma x y (fma c i (* a b))))) (cbrt (fma z t (fma x y (fma c i (* a b))))))
194.0ms	(cbrt (fma z t (fma x y (fma c i (* a b)))))
181.0ms	(cbrt (fma z t (fma x y (fma c i (* a b)))))
142.0ms	(cbrt (fma z t (fma x y (fma c i (* a b)))))

simplify2.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
4	4399
3	1217
2	507
1	221
0	95

prune915.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize132.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

1.0ms	(cbrt (fma z t (fma x y (fma c i (* a b)))))
1.0ms	(cbrt (fma z t (fma x y (fma c i (* a b)))))
4.0ms	(cbrt (* (cbrt (fma z t (fma x y (fma c i (* a b))))) (cbrt (fma z t (fma x y (fma c i (* a b)))))))
4.0ms	(cbrt (* (cbrt (fma z t (fma x y (fma c i (* a b))))) (cbrt (fma z t (fma x y (fma c i (* a b)))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt (fma z t (fma x y (fma c i (* a b)))))
178.0ms	(cbrt (fma z t (fma x y (fma c i (* a b)))))
238.0ms	(cbrt (* (cbrt (fma z t (fma x y (fma c i (* a b))))) (cbrt (fma z t (fma x y (fma c i (* a b)))))))
601.0ms	(cbrt (* (cbrt (fma z t (fma x y (fma c i (* a b))))) (cbrt (fma z t (fma x y (fma c i (* a b)))))))

simplify1.8s

Counts

60 → 60

Iterations

Iter	Nodes
done	5004
4	2593
3	911
2	363
1	167
0	76

prune732.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma c i (* a b))
0.2b	(* (sqrt (fma x y (fma c i (* a b)))) (sqrt (fma x y (fma c i (* a b)))))
0.3b	(sqrt (fma x y (fma c i (* a b))))
0.3b	(sqrt (fma x y (fma c i (* a b))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
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` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma c i (* a b))
14.0ms	(* (sqrt (fma x y (fma c i (* a b)))) (sqrt (fma x y (fma c i (* a b)))))
1.0ms	(sqrt (fma x y (fma c i (* a b))))
2.0ms	(sqrt (fma x y (fma c i (* a b))))

series1.1s

Counts

4 → 12

Calls

4 calls:

65.0ms	(fma c i (* a b))
95.0ms	(* (sqrt (fma x y (fma c i (* a b)))) (sqrt (fma x y (fma c i (* a b)))))
449.0ms	(sqrt (fma x y (fma c i (* a b))))
533.0ms	(sqrt (fma x y (fma c i (* a b))))

simplify2.5s

Counts

103 → 103

Iterations

Iter	Nodes
done	5002
3	4043
2	645
1	208
0	103

prune713.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes772.0ms

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

sample2.9s

Algorithm

intervals

Results

1.1s

13628×

body

valid