Details

sample354.0ms

Algorithm

intervals

Results

91.0ms	80×	body	5120	valid
57.0ms	16×	body	10240	exit
45.0ms	363×	body	80	nan
35.0ms	49×	body	2560	valid
24.0ms	190×	body	80	valid
20.0ms	33×	body	1280	valid
4.0ms	9×	body	640	valid
2.0ms	6×	body	160	valid
2.0ms	6×	body	320	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	21	52
1	60	52
2	295	50
3	3269	50
done	5000	45

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.0b

localize41.0ms

Local error

Found 4 expressions with local error:

15.6b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.6b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.6b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
27.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

211×	`add-exp-log` `add-cbrt-cube`
117×	`prod-exp` `cbrt-unprod`
45×	`cbrt-undiv` `div-exp`
7×	`*-un-lft-identity`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
4×	`pow1` `expm1-log1p-u` `times-frac` `log1p-expm1-u` `div-inv`
3×	`frac-2neg` `clear-num` `associate-/r` `associate-/l`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 156

Calls

4 calls:

58.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
55.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
51.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
838.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series686.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
128.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
125.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
308.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify2.0s

Counts

168 → 168

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	161	4866
1	484	4432
2	3124	2971
done	5002	2933

prune540.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 31.6b

localize6.0ms

Local error

Found 1 expressions with local error:

6.9b	(* (/ c0 (* 2.0 w)) 0)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `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:

27.0ms

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

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify3.1s

Counts

33 → 33

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	69	299
1	160	78
2	472	42
3	2122	42
done	5001	42

prune103.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 28.9b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune38.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 28.9b

localize51.0ms

Local error

Found 4 expressions with local error:

15.6b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.6b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.7b	(* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))
31.5b	(+ (* (* c0 (* d d)) (/ 1 (* (* w h) (* D D)))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

373×	`add-exp-log`
246×	`prod-exp`
235×	`add-cbrt-cube`
138×	`cbrt-unprod`
60×	`div-exp`
45×	`cbrt-undiv`
15×	`rec-exp` `1-exp`
13×	`pow1`
7×	`associate-r`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `add-log-exp`
5×	`times-frac`
4×	`expm1-log1p-u` `sqrt-div` `frac-add` `log1p-expm1-u`
3×	`associate-*r/` `un-div-inv` `div-inv`
2×	`flip3--` `frac-2neg` `clear-num` `associate-/r` `flip--` `associate-/l`
1×	`+-commutative` `fma-def` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

4 → 197

Calls

4 calls:

51.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
44.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
198.0ms	(* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))
873.0ms	(+ (* (* c0 (* d d)) (/ 1 (* (* w h) (* D D)))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series700.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
117.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
113.0ms	(* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))
342.0ms	(+ (* (* c0 (* d d)) (/ 1 (* (* w h) (* D D)))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify3.2s

Counts

209 → 209

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	283	6285
1	741	5366
2	4325	3666
done	5000	3664

prune470.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 28.9b

regimes619.0ms

Accuracy

0% (2.7b remaining)

Error of 33.4b against oracle of 30.7b and baseline of 33.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	2	2
1	4	1
done	4	1

end0.0ms

sample12.6s

Algorithm

intervals

Results

2.9s	2362×	body	5120	valid
2.8s	12757×	body	80	nan
1.6s	1707×	body	2560	valid
1.4s	6848×	body	80	valid
669.0ms	629×	body	10240	exit
538.0ms	871×	body	1280	valid
411.0ms	104×	body	160	valid
244.0ms	448×	body	640	valid
99.0ms	200×	body	320	valid