Details

sample90.0ms

Algorithm

intervals

Results

30.0ms	334×	body	80	nan
20.0ms	285×	body	80	valid

simplify235.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	180
8	180
7	178
6	160
5	142
4	123
3	85
2	51
1	21
0	10

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma y (sqrt z) x)
0.4b	(/ (* 1.0 (fma y (sqrt z) x)) 2.0)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`associate-/r*` `times-frac`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv` `associate-/l*`

Counts

2 → 33

Calls

2 calls:

0.0ms	(fma y (sqrt z) x)
8.0ms	(/ (* 1.0 (fma y (sqrt z) x)) 2.0)

series178.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(fma y (sqrt z) x)
107.0ms	(/ (* 1.0 (fma y (sqrt z) x)) 2.0)

simplify1.2s

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
2	784
1	174
0	75

prune242.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma y (sqrt z) x)
0.2b	(/ 1.0 (/ 2.0 (fma y (sqrt z) x)))
0.5b	(/ 2.0 (fma y (sqrt z) x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`associate-/r/` `fma-udef`

Counts

3 → 111

Calls

3 calls:

0.0ms	(fma y (sqrt z) x)
8.0ms	(/ 1.0 (/ 2.0 (fma y (sqrt z) x)))
4.0ms	(/ 2.0 (fma y (sqrt z) x))

series238.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(fma y (sqrt z) x)
91.0ms	(/ 1.0 (/ 2.0 (fma y (sqrt z) x)))
84.0ms	(/ 2.0 (fma y (sqrt z) x))

simplify1.5s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
2	1980
1	443
0	183

prune703.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (sqrt z) x)
0.2b	(/ 1.0 (* (sqrt 2.0) (/ (sqrt 2.0) (fma y (sqrt z) x))))
0.4b	(* (sqrt 2.0) (/ (sqrt 2.0) (fma y (sqrt z) x)))
0.9b	(/ (sqrt 2.0) (fma y (sqrt z) x))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
43×	`times-frac`
36×	`*-un-lft-identity` `add-cube-cbrt`
29×	`sqrt-prod`
22×	`associate-r`
20×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/l*`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-l` `unswap-sqr`
4×	`expm1-log1p-u` `associate-/r*` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`div-inv`
2×	`clear-num` `frac-2neg` `associate-*r/`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `fma-udef`

Counts

4 → 127

Calls

4 calls:

5.0ms	(fma y (sqrt z) x)
12.0ms	(/ 1.0 (* (sqrt 2.0) (/ (sqrt 2.0) (fma y (sqrt z) x))))
32.0ms	(* (sqrt 2.0) (/ (sqrt 2.0) (fma y (sqrt z) x)))
10.0ms	(/ (sqrt 2.0) (fma y (sqrt z) x))

series942.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(fma y (sqrt z) x)
422.0ms	(/ 1.0 (* (sqrt 2.0) (/ (sqrt 2.0) (fma y (sqrt z) x))))
265.0ms	(* (sqrt 2.0) (/ (sqrt 2.0) (fma y (sqrt z) x)))
179.0ms	(/ (sqrt 2.0) (fma y (sqrt z) x))

simplify3.0s

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
2	3193
1	415
0	175

prune863.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) (/ (fma y (sqrt z) x) (sqrt (sqrt 2.0))))))
0.4b	(* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) (/ (fma y (sqrt z) x) (sqrt (sqrt 2.0)))))
0.5b	(/ (fma y (sqrt z) x) (sqrt (sqrt 2.0)))
0.5b	(/ (sqrt (sqrt 2.0)) (/ (fma y (sqrt z) x) (sqrt (sqrt 2.0))))

rewrite441.0ms

Algorithm

rewrite-expression-head

Rules

1174×	`sqrt-prod`
1143×	`times-frac`
675×	`add-sqr-sqrt`
581×	`*-un-lft-identity` `add-cube-cbrt`
284×	`associate-r`
41×	`associate-/r*`
34×	`add-cbrt-cube` `add-exp-log`
26×	`unswap-sqr`
23×	`div-inv`
15×	`associate-/l*`
14×	`cbrt-undiv` `div-exp`
6×	`pow1` `associate-l` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/r/`
2×	`associate-*r/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 751

Calls

4 calls:

66.0ms	(/ 1.0 (* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) (/ (fma y (sqrt z) x) (sqrt (sqrt 2.0))))))
213.0ms	(* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) (/ (fma y (sqrt z) x) (sqrt (sqrt 2.0)))))
12.0ms	(/ (fma y (sqrt z) x) (sqrt (sqrt 2.0)))
43.0ms	(/ (sqrt (sqrt 2.0)) (/ (fma y (sqrt z) x) (sqrt (sqrt 2.0))))

series1.3s

Counts

4 → 12

Calls

4 calls:

425.0ms	(/ 1.0 (* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) (/ (fma y (sqrt z) x) (sqrt (sqrt 2.0))))))
290.0ms	(* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) (/ (fma y (sqrt z) x) (sqrt (sqrt 2.0)))))
359.0ms	(/ (fma y (sqrt z) x) (sqrt (sqrt 2.0)))
187.0ms	(/ (sqrt (sqrt 2.0)) (/ (fma y (sqrt z) x) (sqrt (sqrt 2.0))))

simplify1.8s

Counts

763 → 763

Iterations

Iter	Nodes
done	5001
1	1994
0	675

prune3.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.5b

regimes402.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end1.0ms

sample2.0s

Algorithm

intervals

Results

872.0ms	8531×	body	80	nan
590.0ms	8578×	body	80	valid