Details

sample369.0ms

Algorithm

intervals

Results

100.0ms	76×	body	5120	valid
77.0ms	487×	body	80	nan
38.0ms	58×	body	2560	valid
27.0ms	30×	body	10240	exit
26.0ms	229×	body	80	valid
12.0ms	21×	body	1280	valid
10.0ms	18×	body	640	valid
1.0ms	5×	body	320	valid
1.0ms	2×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	3419
2	295
1	60
0	21

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.0b

localize62.0ms

Local error

Found 4 expressions with local error:

12.6b	(* (/ c0 (* w h)) (* (/ d D) (pow (/ d D) 3)))
13.8b	(sqrt (fma (/ c0 (* w h)) (* (/ c0 (* w h)) (* (/ d D) (pow (/ d D) 3))) (- (* M M))))
15.7b	(fma (/ c0 (* w h)) (* (/ c0 (* w h)) (* (/ d D) (pow (/ d D) 3))) (- (* M M)))
45.5b	(fma (/ d (* (* w h) D)) (/ (* d c0) D) (sqrt (fma (/ c0 (* w h)) (* (/ c0 (* w h)) (* (/ d D) (pow (/ d D) 3))) (- (* M M)))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

121×	`add-exp-log`
60×	`prod-exp`
40×	`add-cbrt-cube`
36×	`div-exp`
18×	`cbrt-unprod`
12×	`pow-exp`
9×	`cbrt-undiv`
8×	`add-sqr-sqrt`
7×	`pow1` `-un-lft-identity` `associate-l*` `add-cube-cbrt`
6×	`pow-to-exp`
5×	`frac-times` `associate-*r/`
4×	`cube-div` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-*l/` `sqrt-prod`
2×	`fma-udef`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r` `pow-prod-down` `*-commutative` `div-inv`

Counts

4 → 97

Calls

4 calls:

76.0ms	(* (/ c0 (* w h)) (* (/ d D) (pow (/ d D) 3)))
2.0ms	(sqrt (fma (/ c0 (* w h)) (* (/ c0 (* w h)) (* (/ d D) (pow (/ d D) 3))) (- (* M M))))
1.0ms	(fma (/ c0 (* w h)) (* (/ c0 (* w h)) (* (/ d D) (pow (/ d D) 3))) (- (* M M)))
1.0ms	(fma (/ d (* (* w h) D)) (/ (* d c0) D) (sqrt (fma (/ c0 (* w h)) (* (/ c0 (* w h)) (* (/ d D) (pow (/ d D) 3))) (- (* M M)))))

series2.4s

Counts

4 → 12

Calls

4 calls:

355.0ms	(* (/ c0 (* w h)) (* (/ d D) (pow (/ d D) 3)))
693.0ms	(sqrt (fma (/ c0 (* w h)) (* (/ c0 (* w h)) (* (/ d D) (pow (/ d D) 3))) (- (* M M))))
991.0ms	(fma (/ c0 (* w h)) (* (/ c0 (* w h)) (* (/ d D) (pow (/ d D) 3))) (- (* M M)))
319.0ms	(fma (/ d (* (* w h) D)) (/ (* d c0) D) (sqrt (fma (/ c0 (* w h)) (* (/ c0 (* w h)) (* (/ d D) (pow (/ d D) 3))) (- (* M M)))))

simplify2.0s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	3688
1	575
0	195

prune900.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 31.7b

localize7.0ms

Local error

Found 1 expressions with local error:

5.2b	(* (/ c0 (* w 2.0)) 0)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-cbrt-cube` `add-exp-log`
7×	`associate-l`
6×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
3×	`pow1` `times-frac` `associate-r`
2×	`cbrt-undiv` `div-exp`
1×	`expm1-log1p-u` `mul0` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`

Counts

1 → 30

Calls

1 calls:

21.0ms

(* (/ c0 (* w 2.0)) 0)

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(* (/ c0 (* w 2.0)) 0)

simplify1.3s

Counts

33 → 33

Iterations

Iter	Nodes
done	5000
2	863
1	188
0	69

prune222.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 29.1b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune61.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 29.1b

localize32.0ms

Local error

Found 4 expressions with local error:

6.4b	(* (/ c0 (* w 2.0)) (fma (/ d (* (* w h) D)) (/ (* d c0) D) 0))
6.6b	(fma (/ d (* (* w h) D)) (/ (* d c0) D) 0)
6.8b	(/ d (* (* w h) D))
7.4b	(/ (* d c0) D)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1`
4×	`expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`associate-r` `fma-udef` `div-inv`
2×	`clear-num` `frac-2neg`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

18.0ms	(* (/ c0 (* w 2.0)) (fma (/ d (* (* w h) D)) (/ (* d c0) D) 0))
0.0ms	(fma (/ d (* (* w h) D)) (/ (* d c0) D) 0)
27.0ms	(/ d (* (* w h) D))
15.0ms	(/ (* d c0) D)

series437.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(* (/ c0 (* w 2.0)) (fma (/ d (* (* w h) D)) (/ (* d c0) D) 0))
117.0ms	(fma (/ d (* (* w h) D)) (/ (* d c0) D) 0)
34.0ms	(/ d (* (* w h) D))
31.0ms	(/ (* d c0) D)

simplify2.5s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	4226
1	536
0	193

prune672.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 28.7b

regimes2.1s

Accuracy

0% (4.8b remaining)

Error of 33.8b against oracle of 29.0b and baseline of 33.8b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	3
0	3

end0.0ms

sample14.5s

Algorithm

intervals

Results

3.7s	2208×	body	5120	valid
3.1s	12893×	body	80	nan
2.3s	1752×	body	2560	valid
1.3s	6811×	body	80	valid
719.0ms	593×	body	10240	exit
618.0ms	461×	body	640	valid
607.0ms	848×	body	1280	valid
80.0ms	210×	body	320	valid
30.0ms	124×	body	160	valid