Details

sample363.0ms

Algorithm

intervals

Results

88.0ms	363×	body	80	nan
85.0ms	80×	body	5120	valid
39.0ms	49×	body	2560	valid
25.0ms	190×	body	80	valid
22.0ms	33×	body	1280	valid
17.0ms	16×	body	10240	exit
5.0ms	9×	body	640	valid
2.0ms	6×	body	320	valid
1.0ms	6×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: done (2.2s)

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.0b

localize31.0ms

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))))

rewrite1.5s

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:

52.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
53.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
68.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
1.3s	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series806.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
144.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
145.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
397.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify1.9s

Counts

168 → 168

Iterations

Useful iterations: done (1.9s)

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

prune660.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 31.6b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

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:

32.0ms

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

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify3.0s

Counts

33 → 33

Iterations

Useful iterations: 2 (114.0ms)

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

prune97.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 28.9b

localize3.0ms

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

localize36.0ms

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))))

rewrite1.3s

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:

57.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
59.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
280.0ms	(* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))
888.0ms	(+ (* (* 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))))

series735.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
127.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
113.0ms	(* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))
332.0ms	(+ (* (* 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

prune407.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 28.9b

regimes569.0ms

Accuracy

0% (2.7b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	7	5
done	7	5

end0.0ms

sample14.7s

Algorithm

intervals

Results

4.6s	2362×	body	5120	valid
2.9s	12757×	body	80	nan
2.0s	1707×	body	2560	valid
989.0ms	871×	body	1280	valid
953.0ms	6848×	body	80	valid
799.0ms	629×	body	10240	exit
261.0ms	448×	body	640	valid
75.0ms	200×	body	320	valid
25.0ms	104×	body	160	valid