Details

sample363.0ms

Algorithm

intervals

Results

86.0ms	407×	body	80	nan
77.0ms	74×	body	5120	valid
50.0ms	20×	body	10240	exit
35.0ms	49×	body	2560	valid
28.0ms	218×	body	80	valid
17.0ms	28×	body	1280	valid
7.0ms	16×	body	640	valid
3.0ms	11×	body	320	valid
1.0ms	3×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	3344
2	289
1	59
0	21

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.6b

localize87.0ms

Local error

Found 4 expressions with local error:

16.6b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.6b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.6b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
29.2b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite973.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 143

Calls

4 calls:

40.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
42.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
51.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
822.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series763.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
147.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
154.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
330.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify506.0ms

Counts

155 → 155

Iterations

Iter	Nodes
done	5000
1	619
0	159

prune831.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 30.8b

localize15.0ms

Local error

Found 1 expressions with local error:

5.7b	(* (/ c0 (* 2.0 w)) 0)

rewrite29.0ms

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×	`mul0` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `add-log-exp` `unswap-sqr`

Counts

1 → 28

Calls

1 calls:

28.0ms

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

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

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

simplify1.4s

Counts

31 → 31

Iterations

Iter	Nodes
done	5000
2	871
1	186
0	67

prune252.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 29.4b

localize4.0ms

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

prune115.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 29.4b

localize329.0ms

Local error

Found 4 expressions with local error:

19.3b	(* (/ (* d d) w) (/ c0 (* (* h D) D)))
29.2b	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))
29.2b	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))
29.2b	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))

rewrite322.0ms

Algorithm

rewrite-expression-head

Rules

72×	`sqrt-div` `frac-add`
61×	`frac-times`
58×	`add-cbrt-cube` `add-exp-log`
43×	`associate-l/` `associate-r/`
30×	`flip3-+` `flip-+`
27×	`flip3--` `flip--`
25×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
12×	`add-sqr-sqrt`
10×	`add-log-exp`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`times-frac` `associate-r` `associate-l`
6×	`pow1`
3×	`+-commutative` `sum-log`
2×	`div-inv` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 157

Calls

4 calls:

74.0ms	(* (/ (* d d) w) (/ c0 (* (* h D) D)))
85.0ms	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))
85.0ms	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))
69.0ms	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))

series1.6s

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (/ (* d d) w) (/ c0 (* (* h D) D)))
508.0ms	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))
491.0ms	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))
458.0ms	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))

simplify493.0ms

Counts

169 → 169

Iterations

Iter	Nodes
done	5001
1	909
0	295

prune3.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 29.4b

regimes1.3s

Accuracy

0% (4.0b remaining)

Error of 33.7b against oracle of 29.7b and baseline of 33.7b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	2
0	2

end0.0ms

sample11.6s

Algorithm

intervals

Results

3.3s	2359×	body	5120	valid
2.4s	12935×	body	80	nan
1.5s	1701×	body	2560	valid
972.0ms	608×	body	10240	exit
936.0ms	6729×	body	80	valid
547.0ms	468×	body	640	valid
518.0ms	877×	body	1280	valid
71.0ms	231×	body	320	valid
20.0ms	102×	body	160	valid