Details

sample1.0s

Algorithm

intervals

Results

481.0ms	28×	body	1280	valid
133.0ms	60×	body	2560	valid
117.0ms	72×	body	5120	valid
103.0ms	452×	body	80	nan
66.0ms	19×	body	10240	exit
53.0ms	232×	body	80	valid
15.0ms	16×	body	640	valid
3.0ms	4×	body	320	valid
1.0ms	1×	body	160	valid

simplify664.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	3014
2	286
1	60
0	21

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.1b

localize46.0ms

Local error

Found 4 expressions with local error:

13.8b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
13.8b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
13.8b	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
27.7b	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

116×	`add-cbrt-cube` `add-exp-log`
48×	`cbrt-undiv` `div-exp`
46×	`add-sqr-sqrt`
40×	`prod-exp` `cbrt-unprod`
32×	`times-frac`
26×	`associate-l`
25×	`*-un-lft-identity` `add-cube-cbrt`
14×	`associate-r`
9×	`pow1`
8×	`sqrt-div` `sqrt-prod` `unswap-sqr`
7×	`fma-def`
6×	`frac-add` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `flip3--` `associate-l/` `associate-r/` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--`
2×	`pow-prod-down` `*-commutative` `difference-of-squares`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`

Counts

4 → 172

Calls

4 calls:

28.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
44.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
390.0ms	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
1.5s	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

series1.2s

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
126.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
461.0ms	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
539.0ms	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

simplify1.0s

Counts

184 → 184

Iterations

Iter	Nodes
2	2969
1	717
0	235

prune3.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 24.7b

localize8.0ms

Local error

Found 1 expressions with local error:

4.7b	(* (/ c0 w) (/ 0 2))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`times-frac`
15×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`pow1`
2×	`div-inv`
1×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 53

Calls

1 calls:

12.0ms

(* (/ c0 w) (/ 0 2))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (/ c0 w) (/ 0 2))

simplify2.1s

Counts

56 → 56

Iterations

Iter	Nodes
4	2867
3	845
2	430
1	272
0	112

prune697.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 23.2b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune73.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 23.2b

localize46.0ms

Local error

Found 4 expressions with local error:

7.6b	(/ (* (/ d D) (/ d D)) h)
13.8b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
13.8b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
13.8b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

190×	`add-cbrt-cube` `add-exp-log`
81×	`cbrt-undiv` `div-exp`
64×	`prod-exp` `cbrt-unprod`
63×	`add-sqr-sqrt`
51×	`times-frac`
39×	`associate-l`
33×	`*-un-lft-identity` `add-cube-cbrt`
21×	`associate-r`
12×	`unswap-sqr`
10×	`pow1`
7×	`div-inv`
4×	`expm1-log1p-u` `frac-times` `associate-l/` `associate-r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `-commutative` `associate-/l/`
1×	`clear-num` `frac-2neg` `associate-/l*`

Counts

4 → 222

Calls

4 calls:

14.0ms	(/ (* (/ d D) (/ d D)) h)
44.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
27.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
57.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))

series394.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ (* (/ d D) (/ d D)) h)
128.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
93.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
119.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))

simplify675.0ms

Counts

234 → 234

Iterations

Iter	Nodes
2	2318
1	531
0	166

prune4.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 23.2b

regimes1.3s

Accuracy

22.6% (6.3b remaining)

Error of 32.0b against oracle of 25.7b and baseline of 33.9b

bsearch4.0ms

simplify13.0ms

Iterations

Iter	Nodes
2	58
1	58
0	45

end0.0ms

sample17.7s

Algorithm

intervals

Results

4.6s	2244×	body	5120	valid
4.1s	12998×	body	80	nan
3.1s	1742×	body	2560	valid
1.8s	6928×	body	80	valid
1.4s	898×	body	1280	valid
970.0ms	565×	body	10240	exit
471.0ms	451×	body	640	valid
241.0ms	234×	body	320	valid
34.0ms	90×	body	160	valid