Details

sample77.0ms

Algorithm

intervals

Results

29.0ms	306×	body	80	valid
11.0ms	112×	body	80	nan

simplify4.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4261
5	1442
4	379
3	165
2	79
1	36
0	17

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize49.0ms

Local error

Found 4 expressions with local error:

2.4b	(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
3.4b	(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
6.0b	(/ (* M D) (* 2.0 d))
11.3b	(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-exp-log`
35×	`add-sqr-sqrt`
27×	`prod-exp`
23×	`add-cbrt-cube`
19×	`div-exp` `associate-r`
17×	`*-un-lft-identity` `add-cube-cbrt`
14×	`times-frac`
12×	`associate-l`
10×	`pow-exp`
8×	`unswap-sqr`
7×	`pow1` `unpow-prod-down` `sqrt-prod` `cbrt-unprod`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`associate-*r/` `div-inv` `sqr-pow`
2×	`pow-to-exp` `flip3--` `*-commutative` `flip--`
1×	`rem-sqrt-square` `clear-num` `associate-/r` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-/l`

Counts

4 → 121

Calls

4 calls:

6.0ms	(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
16.0ms	(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
14.0ms	(/ (* M D) (* 2.0 d))
47.0ms	(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

series2.3s

Counts

4 → 12

Calls

4 calls:

572.0ms	(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
679.0ms	(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
58.0ms	(/ (* M D) (* 2.0 d))
1.0s	(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

simplify1.8s

Counts

133 → 133

Iterations

Iter	Nodes
done	5000
2	2345
1	625
0	244

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.9b

localize71.0ms

Local error

Found 4 expressions with local error:

3.4b	(* w0 (sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l)))))
4.5b	(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
4.6b	(* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))
6.0b	(/ (* M D) (* 2.0 d))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

167×	`add-exp-log`
92×	`prod-exp`
40×	`div-exp`
32×	`add-cbrt-cube`
26×	`add-sqr-sqrt`
25×	`pow-exp`
22×	`associate-r`
17×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l`
12×	`cbrt-unprod`
11×	`times-frac`
8×	`pow1` `rec-exp` `1-exp`
6×	`cbrt-undiv` `unpow-prod-down`
5×	`pow-to-exp` `unswap-sqr`
4×	`expm1-log1p-u` `sqrt-prod` `log1p-expm1-u` `add-log-exp`
3×	`associate-r/` `-commutative` `div-inv`
2×	`sqrt-div` `pow-prod-down` `sqr-pow`
1×	`clear-num` `associate-/r` `frac-2neg` `flip3--` `un-div-inv` `flip--` `associate-/l`

Counts

4 → 145

Calls

4 calls:

29.0ms	(* w0 (sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l)))))
21.0ms	(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
59.0ms	(* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))
18.0ms	(/ (* M D) (* 2.0 d))

series2.8s

Counts

4 → 12

Calls

4 calls:

619.0ms	(* w0 (sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l)))))
1.1s	(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
1.0s	(* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))
51.0ms	(/ (* M D) (* 2.0 d))

simplify2.3s

Counts

157 → 157

Iterations

Iter	Nodes
done	5679
2	2772
1	752
0	295

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 6.3b

localize52.0ms

Local error

Found 4 expressions with local error:

3.4b	(* w0 (sqrt (- 1.0 (* (* (pow (* (/ M 2.0) (/ D d)) 2.0) h) (/ 1 l)))))
4.5b	(* (pow (* (/ M 2.0) (/ D d)) 2.0) h)
4.6b	(* (* (pow (* (/ M 2.0) (/ D d)) 2.0) h) (/ 1 l))
5.7b	(* (/ M 2.0) (/ D d))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

167×	`add-exp-log`
92×	`prod-exp`
49×	`add-sqr-sqrt`
40×	`div-exp`
35×	`associate-r`
32×	`add-cbrt-cube`
31×	`times-frac`
30×	`*-un-lft-identity` `add-cube-cbrt`
25×	`pow-exp`
22×	`associate-l`
12×	`cbrt-unprod`
10×	`pow1`
8×	`rec-exp` `1-exp` `unswap-sqr`
6×	`cbrt-undiv`
5×	`pow-to-exp`
4×	`expm1-log1p-u` `associate-r/` `-commutative` `sqrt-prod` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `div-inv`
2×	`sqrt-div` `sqr-pow`
1×	`frac-times` `unpow-prod-down` `flip3--` `associate-*l/` `un-div-inv` `flip--`

Counts

4 → 169

Calls

4 calls:

15.0ms	(* w0 (sqrt (- 1.0 (* (* (pow (* (/ M 2.0) (/ D d)) 2.0) h) (/ 1 l)))))
21.0ms	(* (pow (* (/ M 2.0) (/ D d)) 2.0) h)
44.0ms	(* (* (pow (* (/ M 2.0) (/ D d)) 2.0) h) (/ 1 l))
37.0ms	(* (/ M 2.0) (/ D d))

series2.6s

Counts

4 → 12

Calls

4 calls:

703.0ms	(* w0 (sqrt (- 1.0 (* (* (pow (* (/ M 2.0) (/ D d)) 2.0) h) (/ 1 l)))))
942.0ms	(* (pow (* (/ M 2.0) (/ D d)) 2.0) h)
955.0ms	(* (* (pow (* (/ M 2.0) (/ D d)) 2.0) h) (/ 1 l))
35.0ms	(* (/ M 2.0) (/ D d))

simplify2.1s

Counts

181 → 181

Iterations

Iter	Nodes
done	5007
2	2895
1	896
0	343

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 6.1b

localize50.0ms

Local error

Found 4 expressions with local error:

4.5b	(* (pow (* (/ M 2.0) (/ D d)) (/ 2.0 2)) h)
4.6b	(* (* (pow (* (/ M 2.0) (/ D d)) (/ 2.0 2)) (* (pow (* (/ M 2.0) (/ D d)) (/ 2.0 2)) h)) (/ 1 l))
5.7b	(* (/ M 2.0) (/ D d))
5.7b	(* (/ M 2.0) (/ D d))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

1402×	`add-exp-log`
907×	`prod-exp`
366×	`div-exp`
305×	`pow-exp`
68×	`add-sqr-sqrt`
61×	`pow-to-exp`
57×	`rec-exp` `1-exp`
53×	`times-frac`
51×	`add-cbrt-cube`
42×	`associate-r`
41×	`*-un-lft-identity` `add-cube-cbrt`
32×	`associate-l`
21×	`cbrt-unprod`
11×	`cbrt-undiv`
10×	`pow1` `unswap-sqr`
5×	`div-inv`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `associate-*r/`
2×	`frac-times` `associate-*l/` `sqr-pow`
1×	`unpow-prod-down` `un-div-inv`

Counts

4 → 393

Calls

4 calls:

13.0ms	(* (pow (* (/ M 2.0) (/ D d)) (/ 2.0 2)) h)
98.0ms	(* (* (pow (* (/ M 2.0) (/ D d)) (/ 2.0 2)) (* (pow (* (/ M 2.0) (/ D d)) (/ 2.0 2)) h)) (/ 1 l))
25.0ms	(* (/ M 2.0) (/ D d))
19.0ms	(* (/ M 2.0) (/ D d))

series2.0s

Counts

4 → 12

Calls

4 calls:

1.0s	(* (pow (* (/ M 2.0) (/ D d)) (/ 2.0 2)) h)
935.0ms	(* (* (pow (* (/ M 2.0) (/ D d)) (/ 2.0 2)) (* (pow (* (/ M 2.0) (/ D d)) (/ 2.0 2)) h)) (/ 1 l))
48.0ms	(* (/ M 2.0) (/ D d))
40.0ms	(* (/ M 2.0) (/ D d))

simplify2.4s

Counts

405 → 405

Iterations

Iter	Nodes
done	5008
2	3303
1	1138
0	495

prune1.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 6.1b

regimes1.4s

Accuracy

0% (2.0b remaining)

Error of 9.0b against oracle of 7.0b and baseline of 9.0b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	34
1	34
0	26

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.5s	9327×	body	80	valid
301.0ms	3147×	body	80	nan