Details

sample73.0ms

Algorithm

intervals

Results

36.0ms

462×

body

valid

simplify99.0ms

Counts

1 → 1

Iterations

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

prune14.0ms

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` `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))))

series854.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(fma x y (fma c i (* a b)))
71.0ms	(fma c i (* a b))
666.0ms	(fma z t (fma x y (fma c i (* a b))))

simplify2.3s

Counts

39 → 39

Iterations

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

prune439.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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 z t (* (sqrt (fma x y (fma c i (* a b)))) (sqrt (fma x y (fma c i (* a b))))))
20.0ms	(* (sqrt (fma x y (fma c i (* a b)))) (sqrt (fma x y (fma c i (* a b)))))
2.0ms	(sqrt (fma x y (fma c i (* a b))))
1.0ms	(sqrt (fma x y (fma c i (* a b))))

series1.6s

Counts

4 → 12

Calls

4 calls:

374.0ms	(fma z t (* (sqrt (fma x y (fma c i (* a b)))) (sqrt (fma x y (fma c i (* a b))))))
90.0ms	(* (sqrt (fma x y (fma c i (* a b)))) (sqrt (fma x y (fma c i (* a b)))))
549.0ms	(sqrt (fma x y (fma c i (* a b))))
587.0ms	(sqrt (fma x y (fma c i (* a b))))

simplify2.5s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	4246
2	677
1	212
0	105

prune733.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z t (fma x y (fma c i (* a b))))
0.1b	(sqrt (fma z t (fma x y (fma c i (* a b)))))
0.1b	(sqrt (fma z t (fma x y (fma c i (* a b)))))
0.2b	(* (sqrt (fma z t (fma x y (fma c i (* a b))))) (sqrt (fma z t (fma x y (fma c i (* a b))))))

rewrite22.0ms

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 z t (fma x y (fma c i (* a b))))
2.0ms	(sqrt (fma z t (fma x y (fma c i (* a b)))))
2.0ms	(sqrt (fma z t (fma x y (fma c i (* a b)))))
13.0ms	(* (sqrt (fma z t (fma x y (fma c i (* a b))))) (sqrt (fma z t (fma x y (fma c i (* a b))))))

series13.8s

Counts

4 → 12

Calls

4 calls:

306.0ms	(fma z t (fma x y (fma c i (* a b))))
6.6s	(sqrt (fma z t (fma x y (fma c i (* a b)))))
6.5s	(sqrt (fma z t (fma x y (fma c i (* a b)))))
326.0ms	(* (sqrt (fma z t (fma x y (fma c i (* a b))))) (sqrt (fma z t (fma x y (fma c i (* a b))))))

simplify2.7s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	4373
2	716
1	225
0	109

prune789.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

0.0ms

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

series322.0ms

Counts

1 → 3

Calls

1 calls:

321.0ms

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

simplify1.8s

Counts

13 → 13

Iterations

Iter	Nodes
done	5005
4	2055
3	279
2	77
1	41
0	28

prune141.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.4s

13719×

body

valid