Details

sample433.0ms

Algorithm

intervals

Results

93.0ms	436×	body	80	nan
90.0ms	76×	body	5120	valid
75.0ms	22×	body	10240	exit
50.0ms	47×	body	2560	valid
35.0ms	196×	body	80	valid
27.0ms	32×	body	1280	valid
13.0ms	20×	body	640	valid
5.0ms	8×	body	320	valid
2.0ms	7×	body	160	valid

simplify721.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	2972
2	280
1	59
0	21

prune41.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.6b

localize52.0ms

Local error

Found 4 expressions with local error:

15.1b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
15.1b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
15.1b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
28.8b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

rewrite216.0ms

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:

51.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
27.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
39.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
91.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

series1.2s

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
118.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
98.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
874.0ms	(+ (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

prune1.8s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 51.5b

localize94.0ms

Local error

Found 4 expressions with local error:

15.1b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
28.8b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
28.8b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
28.8b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

rewrite597.0ms

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:

40.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
62.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
434.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
55.0ms	(+ (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:

79.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
897.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
912.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
877.0ms	(+ (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

prune2.3s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 51.5b

localize174.0ms

Local error

Found 4 expressions with local error:

28.8b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
28.8b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
28.8b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
28.8b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-div` `frac-add`
16×	`frac-times` `flip3-+` `flip-+`
12×	`*-un-lft-identity` `flip3--` `flip--` `add-log-exp`
8×	`associate-l/` `associate-r/`
4×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `distribute-lft-out`

Counts

4 → 84

Calls

4 calls:

56.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
54.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
57.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
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)))

series3.6s

Counts

4 → 12

Calls

4 calls:

878.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
1.0s	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
899.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
858.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

simplify4.6s

Counts

96 → 96

Iterations

Iter	Nodes
3	9963
2	1514
1	361
0	123

prune2.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 51.5b

localize85.0ms

Local error

Found 4 expressions with local error:

15.1b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
15.1b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
15.5b	(/ (* w h) (* (* c0 (/ d D)) (/ d D)))
34.8b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ 1 (/ (* w h) (* (* c0 (/ d D)) (/ d D)))))

rewrite194.0ms

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

Counts

4 → 157

Calls

4 calls:

30.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
51.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
28.0ms	(/ (* w h) (* (* c0 (/ d D)) (/ d D)))
78.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ 1 (/ (* w h) (* (* c0 (/ d D)) (/ d D)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

101.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
102.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
147.0ms	(/ (* w h) (* (* c0 (/ d D)) (/ d D)))
913.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ 1 (/ (* w h) (* (* c0 (/ d D)) (/ d D)))))

simplify2.0s

Counts

169 → 169

Iterations

Iter	Nodes
2	5351
1	843
0	270

prune1.6s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 50.8b

regimes2.3s

Accuracy

0% (3.8b remaining)

Error of 52.3b against oracle of 48.5b and baseline of 52.3b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
2	30
1	30
0	23

end0.0ms

sample22.0s

Algorithm

intervals

Results

7.0s	2284×	body	5120	valid
4.2s	12967×	body	80	nan
3.5s	1808×	body	2560	valid
2.6s	6742×	body	80	valid
1.4s	579×	body	10240	exit
1.2s	873×	body	1280	valid
469.0ms	442×	body	640	valid
157.0ms	228×	body	320	valid
74.0ms	96×	body	160	valid