Details

sample166.0ms

Algorithm

intervals

Results

39.0ms	83×	body	5120	valid
28.0ms	63×	body	2560	valid
26.0ms	434×	body	80	nan
12.0ms	192×	body	80	valid
11.0ms	22×	body	10240	exit
7.0ms	22×	body	1280	valid
3.0ms	14×	body	640	valid
2.0ms	11×	body	320	valid
1.0ms	6×	body	160	valid

simplify967.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	21	52
1	60	52
2	291	50
3	3217	50
done	5001	50

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 60.6b

localize23.0ms

Local error

Found 4 expressions with local error:

16.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
32.4b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite343.0ms

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:

18.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
282.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series528.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
244.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify1.4s

Counts

168 → 168

Iterations

Useful iterations: 2 (244.0ms)

Iter	Nodes	Cost
0	161	4866
1	577	4432
2	3416	2929
done	5000	2929

prune409.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 30.7b

localize5.0ms

Local error

Found 1 expressions with local error:

7.9b	(* (/ c0 (* 2.0 w)) 0)

rewrite11.0ms

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:

10.0ms

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

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

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

simplify965.0ms

Counts

33 → 33

Iterations

Useful iterations: 3 (223.0ms)

Iter	Nodes	Cost
0	69	299
1	181	108
2	648	56
3	2650	42
done	5000	42

prune84.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 28.2b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune20.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 28.2b

localize24.0ms

Local error

Found 4 expressions with local error:

15.2b	(* (* w h) (* D D))
16.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

223×	`add-exp-log` `add-cbrt-cube`
125×	`prod-exp` `cbrt-unprod`
45×	`cbrt-undiv` `div-exp`
16×	`pow1`
8×	`pow-prod-down`
4×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 159

Calls

4 calls:

10.0ms	(* (* w h) (* D D))
17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))

series352.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (* w h) (* D D))
98.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
96.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
99.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))

simplify1.2s

Counts

171 → 171

Iterations

Useful iterations: 2 (188.0ms)

Iter	Nodes	Cost
0	120	3749
1	426	3579
2	2619	2261
done	5000	2261

prune316.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 28.2b

regimes389.0ms

Accuracy

0% (1.9b remaining)

Error of 33.3b against oracle of 31.4b and baseline of 33.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
done	3	3

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.2s	2377×	body	5120	valid
794.0ms	13049×	body	80	nan
678.0ms	1745×	body	2560	valid
418.0ms	6764×	body	80	valid
287.0ms	551×	body	10240	exit
282.0ms	898×	body	1280	valid
119.0ms	472×	body	640	valid
45.0ms	234×	body	320	valid
13.0ms	113×	body	160	valid