Details

sample508.0ms

Algorithm

intervals

Results

152.0ms	65×	body	5120	valid
125.0ms	66×	body	2560	valid
82.0ms	421×	body	80	nan
40.0ms	202×	body	80	valid
27.0ms	28×	body	1280	valid
22.0ms	16×	body	10240	exit
10.0ms	12×	body	640	valid
7.0ms	9×	body	320	valid
1.0ms	4×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5207
3	2972
2	280
1	59
0	21

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 50.5b

localize74.0ms

Local error

Found 4 expressions with local error:

13.1b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
13.1b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
13.1b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
26.7b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

rewrite220.0ms

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:

53.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
53.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
34.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
75.0ms	(+ (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:

100.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
114.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
106.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
832.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

simplify2.8s

Counts

168 → 168

Iterations

Iter	Nodes
done	5049
2	3555
1	665
0	215

prune987.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 49.5b

localize123.0ms

Local error

Found 4 expressions with local error:

13.1b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
26.7b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
26.7b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
26.7b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

rewrite240.0ms

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:

38.0ms	(/ (* (* 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)))
65.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
59.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

series2.7s

Counts

4 → 12

Calls

4 calls:

85.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
865.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
786.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
917.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

simplify2.9s

Counts

120 → 120

Iterations

Iter	Nodes
done	5049
2	3555
1	665
0	215

prune1.3s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 49.5b

localize78.0ms

Local error

Found 4 expressions with local error:

13.1b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
13.1b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
26.7b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
26.7b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

rewrite226.0ms

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

Counts

4 → 132

Calls

4 calls:

57.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
48.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
52.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
63.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

series2.0s

Counts

4 → 12

Calls

4 calls:

104.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
110.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
865.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
943.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

simplify3.1s

Counts

144 → 144

Iterations

Iter	Nodes
done	5049
2	3555
1	665
0	215

prune1.0s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 49.5b

localize121.0ms

Local error

Found 4 expressions with local error:

26.7b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
26.7b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
26.7b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
26.7b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

rewrite239.0ms

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:

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)))
52.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
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)))
50.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

series3.4s

Counts

4 → 12

Calls

4 calls:

849.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
770.0ms	(+ (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)))
848.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

simplify2.4s

Counts

96 → 96

Iterations

Iter	Nodes
done	5003
2	1521
1	361
0	123

prune1.2s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 49.5b

regimes2.0s

Accuracy

0% (2.3b remaining)

Error of 52.0b against oracle of 49.7b and baseline of 52.0b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	29
1	29
0	22

end0.0ms

sample20.0s

Algorithm

intervals

Results

4.8s	13133×	body	80	nan
4.7s	2326×	body	5120	valid
3.1s	1716×	body	2560	valid
2.3s	6674×	body	80	valid
1.6s	916×	body	1280	valid
1.6s	603×	body	10240	exit
498.0ms	438×	body	640	valid
224.0ms	221×	body	320	valid
52.0ms	116×	body	160	valid