Details

sample229.0ms

Algorithm

intervals

Results

167.0ms

533×

body

valid

simplify5.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4998
4	2295
3	723
2	217
1	67
0	28

prune109.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b c (- (* z (* (* t x) (* y 18.0))) (fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))))
0.2b	(* 27.0 (* k j))
3.6b	(* (* t x) (* y 18.0))
6.4b	(* z (* (* t x) (* y 18.0)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-cbrt-cube` `add-exp-log`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `*-commutative`
1×	`fma-udef`

Counts

4 → 87

Calls

4 calls:

0.0ms	(fma b c (- (* z (* (* t x) (* y 18.0))) (fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))))
22.0ms	(* 27.0 (* k j))
26.0ms	(* (* t x) (* y 18.0))
98.0ms	(* z (* (* t x) (* y 18.0)))

series12.1s

Counts

4 → 12

Calls

4 calls:

12.0s	(fma b c (- (* z (* (* t x) (* y 18.0))) (fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))))
22.0ms	(* 27.0 (* k j))
41.0ms	(* (* t x) (* y 18.0))
73.0ms	(* z (* (* t x) (* y 18.0)))

simplify1.6s

Counts

99 → 99

Iterations

Iter	Nodes
done	5006
2	1423
1	367
0	152

prune846.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt 27.0) (* k j))
0.2b	(* (sqrt 27.0) (* (sqrt 27.0) (* k j)))
3.6b	(* (* t x) (* y 18.0))
6.4b	(* z (* (* t x) (* y 18.0)))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

48×	`pow1` `add-cbrt-cube` `add-exp-log`
30×	`pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`associate-l`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-prod`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 106

Calls

4 calls:

16.0ms	(* (sqrt 27.0) (* k j))
48.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* k j)))
31.0ms	(* (* t x) (* y 18.0))
64.0ms	(* z (* (* t x) (* y 18.0)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (sqrt 27.0) (* k j))
101.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* k j)))
51.0ms	(* (* t x) (* y 18.0))
82.0ms	(* z (* (* t x) (* y 18.0)))

simplify1.4s

Counts

118 → 118

Iterations

Iter	Nodes
done	5005
2	1802
1	397
0	154

prune979.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (sqrt 27.0)) (* (sqrt (sqrt 27.0)) (* k j)))
0.3b	(* (sqrt (sqrt 27.0)) (* k j))
3.6b	(* (* t x) (* y 18.0))
6.4b	(* z (* (* t x) (* y 18.0)))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

48×	`pow1` `add-cbrt-cube` `add-exp-log`
30×	`pow-prod-down` `prod-exp` `cbrt-unprod`
22×	`associate-l`
18×	`sqrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 112

Calls

4 calls:

78.0ms	(* (sqrt (sqrt 27.0)) (* (sqrt (sqrt 27.0)) (* k j)))
31.0ms	(* (sqrt (sqrt 27.0)) (* k j))
39.0ms	(* (* t x) (* y 18.0))
93.0ms	(* z (* (* t x) (* y 18.0)))

series309.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (sqrt (sqrt 27.0)) (* (sqrt (sqrt 27.0)) (* k j)))
103.0ms	(* (sqrt (sqrt 27.0)) (* k j))
43.0ms	(* (* t x) (* y 18.0))
88.0ms	(* z (* (* t x) (* y 18.0)))

simplify1.6s

Counts

124 → 124

Iterations

Iter	Nodes
done	5001
2	1597
1	400
0	159

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b c (- (* z (* (* t x) (* y 18.0))) (fma 4.0 (fma t a (* x i)) (* (* 27.0 k) j))))
0.5b	(* (* 27.0 k) j)
3.6b	(* (* t x) (* y 18.0))
6.4b	(* z (* (* t x) (* y 18.0)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-cbrt-cube` `add-exp-log`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 87

Calls

4 calls:

0.0ms	(fma b c (- (* z (* (* t x) (* y 18.0))) (fma 4.0 (fma t a (* x i)) (* (* 27.0 k) j))))
24.0ms	(* (* 27.0 k) j)
23.0ms	(* (* t x) (* y 18.0))
82.0ms	(* z (* (* t x) (* y 18.0)))

series13.0s

Counts

4 → 12

Calls

4 calls:

12.8s	(fma b c (- (* z (* (* t x) (* y 18.0))) (fma 4.0 (fma t a (* x i)) (* (* 27.0 k) j))))
22.0ms	(* (* 27.0 k) j)
55.0ms	(* (* t x) (* y 18.0))
106.0ms	(* z (* (* t x) (* y 18.0)))

simplify2.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5005
2	1491
1	377
0	155

prune895.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes2.9s

Accuracy

82.8% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 4.3b

bsearch5.0ms

simplify24.0ms

Iterations

Iter	Nodes
done	67
1	67
0	45

end0.0ms

sample6.2s

Algorithm

intervals

Results

5.0s

16191×

body

valid