Details

sample985.0ms

Algorithm

intervals

Results

580.0ms	73×	body	5120	valid
114.0ms	63×	body	2560	valid
108.0ms	389×	body	80	nan
49.0ms	217×	body	80	valid
33.0ms	29×	body	1280	valid
31.0ms	20×	body	10240	exit
13.0ms	13×	body	640	valid
4.0ms	6×	body	320	valid
2.0ms	4×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
3	2972
2	280
1	59
0	21

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 51.6b

localize83.0ms

Local error

Found 4 expressions with local error:

14.0b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
14.0b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
14.0b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
28.5b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

199×	`add-cbrt-cube` `add-exp-log`
81×	`prod-exp` `cbrt-unprod`
72×	`cbrt-undiv` `div-exp`
11×	`associate-*r/`
9×	`associate-/l/`
8×	`sqrt-div` `frac-add`
7×	`frac-times`
6×	`*-un-lft-identity` `add-log-exp`
5×	`associate-*l/`
4×	`add-sqr-sqrt` `pow1` `flip3-+` `add-cube-cbrt` `flip-+` `insert-posit16`
3×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `flip3--` `div-inv` `flip--` `associate-/l`
1×	`+-commutative` `sum-log` `distribute-lft-out`

Counts

4 → 156

Calls

4 calls:

56.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
34.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
42.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
60.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

series1.1s

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
115.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
85.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
834.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

simplify1.4s

Counts

168 → 168

Iterations

Iter	Nodes
2	3546
1	663
0	215

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 50.1b

localize143.0ms

Local error

Found 4 expressions with local error:

14.0b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
28.5b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
28.5b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
28.5b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-cbrt-cube` `add-exp-log`
27×	`prod-exp` `cbrt-unprod`
24×	`cbrt-undiv` `sqrt-div` `div-exp` `frac-add`
13×	`frac-times`
12×	`flip3-+` `flip-+`
10×	`*-un-lft-identity` `add-log-exp`
9×	`flip3--` `associate-*r/` `flip--`
7×	`associate-*l/`
4×	`add-sqr-sqrt` `pow1` `add-cube-cbrt` `insert-posit16`
3×	`+-commutative` `sum-log` `distribute-lft-out` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `div-inv` `associate-/l`

Counts

4 → 108

Calls

4 calls:

55.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
67.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
68.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
76.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

series2.8s

Counts

4 → 12

Calls

4 calls:

116.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
911.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
882.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
907.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

simplify1.5s

Counts

120 → 120

Iterations

Iter	Nodes
2	3546
1	663
0	215

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 50.1b

localize48.0ms

Local error

Found 4 expressions with local error:

13.6b	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M)))
14.0b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
14.0b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
33.8b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

134×	`add-cbrt-cube` `add-exp-log`
54×	`prod-exp` `cbrt-unprod`
48×	`cbrt-undiv` `div-exp`
16×	`sqrt-div`
10×	`frac-times` `associate-*r/`
8×	`frac-add`
7×	`pow1` `flip3-+` `flip-+`
6×	`-un-lft-identity` `flip3--` `associate-l/` `flip--` `add-log-exp` `associate-/l/`
4×	`add-sqr-sqrt` `add-cube-cbrt` `insert-posit16`
2×	`clear-num` `associate-/r` `frac-2neg` `sqrt-pow1` `times-frac` `div-inv` `associate-/l`
1×	`+-commutative` `sum-log` `pow1/2` `pow-prod-down` `sqrt-prod` `distribute-lft-out`

Counts

4 → 131

Calls

4 calls:

50.0ms	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M)))
56.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
31.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
69.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))

series1.8s

Counts

4 → 12

Calls

4 calls:

776.0ms	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M)))
73.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
82.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
844.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))

simplify1.4s

Counts

143 → 143

Iterations

Iter	Nodes
2	3509
1	667
0	228

prune865.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 49.4b

localize87.0ms

Local error

Found 4 expressions with local error:

7.2b	(/ (* (* c0 (/ d D)) (/ d D)) w)
13.6b	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) M)))
14.0b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
30.6b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

98×	`add-cbrt-cube` `add-exp-log`
37×	`prod-exp` `cbrt-unprod`
36×	`cbrt-undiv` `div-exp`
16×	`sqrt-div`
10×	`frac-times` `associate-*r/`
8×	`*-un-lft-identity` `frac-add`
7×	`pow1` `flip3-+` `flip-+`
6×	`add-sqr-sqrt` `flip3--` `associate-*l/` `add-cube-cbrt` `flip--` `add-log-exp` `associate-/l/`
4×	`associate-/r*` `times-frac` `insert-posit16`
2×	`clear-num` `frac-2neg` `sqrt-pow1` `div-inv` `associate-/l*`
1×	`+-commutative` `sum-log` `pow1/2` `pow-prod-down` `sqrt-prod` `distribute-lft-out`

Counts

4 → 121

Calls

4 calls:

27.0ms	(/ (* (* c0 (/ d D)) (/ d D)) w)
60.0ms	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) M)))
31.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
81.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))

series1.6s

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ (* (* c0 (/ d D)) (/ d D)) w)
699.0ms	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) M)))
77.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
767.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))

simplify1.9s

Counts

133 → 133

Iterations

Iter	Nodes
2	4394
1	804
0	270

prune1.0s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 48.6b

regimes2.3s

Accuracy

4.8% (5.1b remaining)

Error of 52.0b against oracle of 46.9b and baseline of 52.3b

bsearch421.0ms

Steps

Iters	Range		Point
9	-1.4026435698680838e-85	-6.093134781349859e-91	-7.536492045050691e-90

simplify22.0ms

Iterations

Iter	Nodes
2	43
1	43
0	32

end0.0ms

sample19.7s

Algorithm

intervals

Results

6.0s	2275×	body	5120	valid
3.7s	12832×	body	80	nan
3.0s	1755×	body	2560	valid
2.5s	6755×	body	80	valid
1.2s	902×	body	1280	valid
1.2s	561×	body	10240	exit
519.0ms	476×	body	640	valid
199.0ms	220×	body	320	valid
78.0ms	112×	body	160	valid