Details

sample277.0ms

Algorithm

intervals

Results

85.0ms	420×	body	80	nan
47.0ms	67×	body	5120	valid
33.0ms	57×	body	2560	valid
21.0ms	213×	body	80	valid
20.0ms	40×	body	1280	valid
13.0ms	14×	body	10240	exit
6.0ms	14×	body	640	valid
2.0ms	7×	body	320	valid

simplify2.1s

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 55.3b

localize65.0ms

Local error

Found 4 expressions with local error:

14.3b	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
14.3b	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
14.6b	(sqrt (* (+ M (* (/ (* (/ d D) (/ d D)) h) (/ c0 w))) (- (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)) M)))
25.7b	(+ (sqrt (* (+ M (* (/ (* (/ d D) (/ d D)) h) (/ c0 w))) (- (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)) M))) (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

116×	`add-cbrt-cube` `add-exp-log`
48×	`cbrt-undiv` `div-exp`
42×	`add-sqr-sqrt`
40×	`prod-exp` `cbrt-unprod`
32×	`times-frac` `sqrt-div`
26×	`frac-times` `associate-r`
24×	`frac-add`
22×	`*-un-lft-identity` `add-cube-cbrt`
18×	`associate-l/` `associate-r/`
14×	`associate-l`
13×	`flip3-+` `flip-+`
12×	`flip3--` `flip--`
11×	`pow1`
8×	`unswap-sqr`
6×	`add-log-exp`
4×	`div-inv`
3×	`pow-prod-down`
2×	`sqrt-pow1` `*-commutative`
1×	`+-commutative` `sum-log` `pow1/2` `sqrt-prod`

Counts

4 → 174

Calls

4 calls:

52.0ms	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
73.0ms	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
65.0ms	(sqrt (* (+ M (* (/ (* (/ d D) (/ d D)) h) (/ c0 w))) (- (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)) M)))
73.0ms	(+ (sqrt (* (+ M (* (/ (* (/ d D) (/ d D)) h) (/ c0 w))) (- (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)) M))) (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)))

series2.2s

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
121.0ms	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
968.0ms	(sqrt (* (+ M (* (/ (* (/ d D) (/ d D)) h) (/ c0 w))) (- (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)) M)))
1.0s	(+ (sqrt (* (+ M (* (/ (* (/ d D) (/ d D)) h) (/ c0 w))) (- (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)) M))) (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)))

simplify3.3s

Counts

186 → 186

Iterations

Iter	Nodes
done	5000
2	4720
1	950
0	325

prune1.5s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 50.1b

localize70.0ms

Local error

Found 4 expressions with local error:

13.3b	(/ (* (/ d D) (* (/ d D) c0)) (* w h))
13.3b	(/ (* (/ d D) (* (/ d D) c0)) (* w h))
14.6b	(sqrt (* (+ M (/ (* (/ d D) (* (/ d D) c0)) (* w h))) (- (/ (* (/ d D) (* (/ d D) c0)) (* w h)) M)))
25.7b	(+ (/ (* (/ d D) (* (/ d D) c0)) (* w h)) (sqrt (* (+ M (/ (* (/ d D) (* (/ d D) c0)) (* w h))) (- (/ (* (/ d D) (* (/ d D) c0)) (* w h)) M))))

rewrite224.0ms

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-*l/`
8×	`frac-add`
7×	`pow1` `flip3-+` `flip-+`
6×	`-un-lft-identity` `flip3--` `associate-r/` `flip--` `add-log-exp` `associate-/l/`
4×	`add-sqr-sqrt` `add-cube-cbrt`
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 → 127

Calls

4 calls:

31.0ms	(/ (* (/ d D) (* (/ d D) c0)) (* w h))
50.0ms	(/ (* (/ d D) (* (/ d D) c0)) (* w h))
64.0ms	(sqrt (* (+ M (/ (* (/ d D) (* (/ d D) c0)) (* w h))) (- (/ (* (/ d D) (* (/ d D) c0)) (* w h)) M)))
67.0ms	(+ (/ (* (/ d D) (* (/ d D) c0)) (* w h)) (sqrt (* (+ M (/ (* (/ d D) (* (/ d D) c0)) (* w h))) (- (/ (* (/ d D) (* (/ d D) c0)) (* w h)) M))))

series2.0s

Counts

4 → 12

Calls

4 calls:

81.0ms	(/ (* (/ d D) (* (/ d D) c0)) (* w h))
96.0ms	(/ (* (/ d D) (* (/ d D) c0)) (* w h))
1.3s	(sqrt (* (+ M (/ (* (/ d D) (* (/ d D) c0)) (* w h))) (- (/ (* (/ d D) (* (/ d D) c0)) (* w h)) M)))
458.0ms	(+ (/ (* (/ d D) (* (/ d D) c0)) (* w h)) (sqrt (* (+ M (/ (* (/ d D) (* (/ d D) c0)) (* w h))) (- (/ (* (/ d D) (* (/ d D) c0)) (* w h)) M))))

simplify2.6s

Counts

139 → 139

Iterations

Iter	Nodes
done	5001
2	4705
1	740
0	224

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 30.1b

localize21.0ms

Local error

Found 1 expressions with local error:

6.9b	(* (log (exp 0)) (/ c0 w))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 36

Calls

1 calls:

25.0ms

(* (log (exp 0)) (/ c0 w))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (log (exp 0)) (/ c0 w))

simplify2.1s

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
3	3061
2	755
1	196
0	82

prune289.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 28.0b

localize2.0ms

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

prune0.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 28.0b

regimes925.0ms

Accuracy

0% (8.8b remaining)

Error of 33.7b against oracle of 24.9b and baseline of 33.7b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	3
0	3

end0.0ms

sample11.3s

Algorithm

intervals

Results

2.9s	13349×	body	80	nan
2.4s	2304×	body	5120	valid
2.0s	1786×	body	2560	valid
785.0ms	6868×	body	80	valid
689.0ms	602×	body	10240	exit
600.0ms	967×	body	1280	valid
412.0ms	230×	body	320	valid
163.0ms	400×	body	640	valid
22.0ms	115×	body	160	valid