Details

sample488.0ms

Algorithm

intervals

Results

162.0ms	76×	body	5120	valid
98.0ms	403×	body	80	nan
59.0ms	63×	body	2560	valid
33.0ms	202×	body	80	valid
21.0ms	28×	body	1280	valid
21.0ms	16×	body	10240	exit
6.0ms	10×	body	640	valid
2.0ms	5×	body	320	valid
1.0ms	2×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5045
3	2984
2	280
1	59
0	21

prune43.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 51.9b

localize99.0ms

Local error

Found 4 expressions with local error:

12.1b	(* (* (/ d D) (/ d D)) (/ c0 w))
12.1b	(* (* (/ d D) (/ d D)) (/ c0 w))
12.1b	(* (* (/ d D) (/ d D)) (/ c0 w))
27.2b	(+ (/ (* (* (/ d D) (/ d D)) (/ c0 w)) h) (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 w)) h) (/ (* (* (/ d D) (/ d D)) (/ c0 w)) h)) (* M M))))

rewrite1.9s

Algorithm

rewrite-expression-head

Rules

127×	`add-exp-log` `add-cbrt-cube`
54×	`prod-exp` `cbrt-unprod`
39×	`cbrt-undiv` `div-exp` `associate-r`
34×	`add-sqr-sqrt`
30×	`times-frac`
27×	`*-un-lft-identity`
25×	`add-cube-cbrt`
19×	`pow1`
15×	`frac-times` `associate-*l/`
9×	`associate-*r/` `pow-prod-down`
6×	`add-log-exp` `unswap-sqr`
3×	`associate-l` `*-commutative` `div-inv`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 173

Calls

4 calls:

97.0ms	(* (* (/ d D) (/ d D)) (/ c0 w))
106.0ms	(* (* (/ d D) (/ d D)) (/ c0 w))
101.0ms	(* (* (/ d D) (/ d D)) (/ c0 w))
1.6s	(+ (/ (* (* (/ d D) (/ d D)) (/ c0 w)) h) (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 w)) h) (/ (* (* (/ d D) (/ d D)) (/ c0 w)) h)) (* M M))))

series747.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (* (/ d D) (/ d D)) (/ c0 w))
79.0ms	(* (* (/ d D) (/ d D)) (/ c0 w))
81.0ms	(* (* (/ d D) (/ d D)) (/ c0 w))
502.0ms	(+ (/ (* (* (/ d D) (/ d D)) (/ c0 w)) h) (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 w)) h) (/ (* (* (/ d D) (/ d D)) (/ c0 w)) h)) (* M M))))

simplify3.9s

Counts

185 → 185

Iterations

Iter	Nodes
done	5000
2	2228
1	519
0	172

prune2.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 27.2b

localize21.0ms

Local error

Found 1 expressions with local error:

6.9b	(* (/ c0 w) (/ 0 2.0))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`times-frac`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`pow1`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `add-log-exp`

Counts

1 → 50

Calls

1 calls:

46.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify4.5m

Counts

53 → 53

Iterations

Iter	Nodes
done	5002
3	1176
2	465
1	280
0	109

prune636.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 24.8b

localize1.0ms

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

prune144.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 24.8b

localize101.0ms

Local error

Found 4 expressions with local error:

12.1b	(* (* (/ d D) (/ d D)) (/ c0 w))
12.1b	(* (* (/ d D) (/ d D)) (/ c0 w))
12.1b	(* (* (/ d D) (/ d D)) (/ c0 w))
14.3b	(/ (+ 0 (* M M)) (- (/ (* (* (/ d D) (/ d D)) (/ c0 w)) h) (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 w)) h) (/ (* (* (/ d D) (/ d D)) (/ c0 w)) h)) (* M M)))))

rewrite3.5s

Algorithm

rewrite-expression-head

Rules

129×	`add-exp-log` `add-cbrt-cube`
61×	`add-sqr-sqrt`
54×	`prod-exp` `cbrt-unprod`
48×	`times-frac`
44×	`*-un-lft-identity`
40×	`cbrt-undiv` `div-exp`
39×	`associate-r`
36×	`add-cube-cbrt`
19×	`pow1`
15×	`frac-times` `associate-*l/`
9×	`associate-*r/` `pow-prod-down`
8×	`difference-of-squares`
6×	`associate-/r*` `unswap-sqr`
4×	`sqrt-prod` `associate-/r/` `div-inv` `distribute-lft-out--` `add-log-exp`
3×	`associate-l` `-commutative` `associate-/l`
2×	`flip3--` `sqrt-div` `frac-sub` `flip--` `associate-/l/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+`

Counts

4 → 204

Calls

4 calls:

96.0ms	(* (* (/ d D) (/ d D)) (/ c0 w))
98.0ms	(* (* (/ d D) (/ d D)) (/ c0 w))
97.0ms	(* (* (/ d D) (/ d D)) (/ c0 w))
3.1s	(/ (+ 0 (* M M)) (- (/ (* (* (/ d D) (/ d D)) (/ c0 w)) h) (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 w)) h) (/ (* (* (/ d D) (/ d D)) (/ c0 w)) h)) (* M M)))))

series2.7s

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (* (/ d D) (/ d D)) (/ c0 w))
75.0ms	(* (* (/ d D) (/ d D)) (/ c0 w))
79.0ms	(* (* (/ d D) (/ d D)) (/ c0 w))
2.4s	(/ (+ 0 (* M M)) (- (/ (* (* (/ d D) (/ d D)) (/ c0 w)) h) (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 w)) h) (/ (* (* (/ d D) (/ d D)) (/ c0 w)) h)) (* M M)))))

simplify4.1s

Counts

216 → 216

Iterations

Iter	Nodes
done	5001
2	2532
1	654
0	229

prune2.3s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 22.2b

regimes3.0s

Accuracy

11.5% (9.2b remaining)

Error of 32.3b against oracle of 23.1b and baseline of 33.5b

bsearch8.0ms

simplify29.0ms

Iterations

Iter	Nodes
done	47
1	47
0	38

end0.0ms

sample17.1s

Algorithm

intervals

Results

4.3s	2306×	body	5120	valid
4.2s	12986×	body	80	nan
3.0s	1747×	body	2560	valid
1.3s	6869×	body	80	valid
1.1s	853×	body	1280	valid
765.0ms	595×	body	10240	exit
367.0ms	432×	body	640	valid
99.0ms	223×	body	320	valid
32.0ms	108×	body	160	valid