Details

sample607.0ms

Algorithm

intervals

Results

163.0ms	57×	body	5120	valid
138.0ms	427×	body	80	nan
98.0ms	60×	body	2560	valid
58.0ms	230×	body	80	valid
37.0ms	29×	body	1280	valid
30.0ms	15×	body	10240	exit
15.0ms	15×	body	640	valid
5.0ms	10×	body	160	valid
5.0ms	6×	body	320	valid

simplify970.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

969.0ms

(* (/ c0 (* 2 w)) (+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M)))))

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.9b

localize56.0ms

Local error

Found 4 expressions with local error:

24.9b	(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))
15.9b	(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
11.9b	(/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)
11.9b	(/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)

rewrite2.2s

Algorithm

rewrite-expression-head

Rules

110×	`add-cbrt-cube` `add-exp-log`
48×	`cbrt-undiv` `div-exp`
36×	`prod-exp` `cbrt-unprod`
14×	`associate-/l/`
13×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
10×	`frac-times` `associate-*l/`
8×	`sqrt-prod`
7×	`fma-def`
6×	`associate-/r` `times-frac` `associate-r/` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `sqrt-div` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `flip3--` `frac-add` `div-inv` `flip--` `associate-/l*` `difference-of-squares`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `distribute-lft-out`

Counts

4 → 141

Calls

4 calls:

Slowest

1.6s	(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))
436.0ms	(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
47.0ms	(/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)
34.0ms	(/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)

series800.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

326.0ms	(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))
292.0ms	(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
91.0ms	(/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)
90.0ms	(/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)

simplify31.5s

Counts

108 → 153

Calls

108 calls:

Slowest

1.0s	(/ (* (* (* (* (/ d D) (/ d D)) (/ d D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h))) (* (* w w) w))
1.0s	(/ (* (* (/ (* (* d d) d) (* (* D D) D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h))) (* (* w w) w))
969.0ms	(/ (* (* (/ (* (* d d) d) (* (* D D) D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h))) (* (* w w) w))
949.0ms	(/ (* (* (/ (* (* d d) d) (* (* D D) D)) (* (* (/ d D) (/ d D)) (/ d D))) (/ (* (* c0 c0) c0) (* (* h h) h))) (* (* w w) w))
935.0ms	(/ (* (* (* (* (/ d D) (/ d D)) (/ d D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h))) (* (* w w) w))

prune2.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 28.6b

localize11.0ms

Local error

Found 1 expressions with local error:

4.0b	(* (/ c0 (* w 2)) 0)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-cbrt-cube` `add-exp-log`
7×	`associate-l`
6×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
3×	`pow1` `times-frac` `associate-r`
2×	`cbrt-undiv` `div-exp`
1×	`expm1-log1p-u` `mul0` `pow-prod-down` `associate-l/` `-commutative` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`

Counts

1 → 31

Calls

1 calls:

Slowest

18.0ms

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

series2.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

2.0ms

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

simplify1.4s

Counts

20 → 34

Calls

20 calls:

Slowest

374.0ms	(* (* (* (/ c0 (* w 2)) (/ c0 (* w 2))) (/ c0 (* w 2))) (* (* 0 0) 0))
263.0ms	(+ (- (log c0) (+ (log w) (log 2))) (log 0))
259.0ms	(+ (- (log c0) (log (* w 2))) (log 0))
170.0ms	(+ (log (/ c0 (* w 2))) (log 0))
111.0ms	(* (/ (* (* c0 c0) c0) (* (* (* w 2) (* w 2)) (* w 2))) (* (* 0 0) 0))

prune462.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 27.8b

localize1.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

Calls

0 calls:

Slowest

series0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

simplify0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

prune72.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 27.8b

localize55.0ms

Local error

Found 4 expressions with local error:

24.9b	(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))
15.9b	(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
11.9b	(/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)
11.9b	(/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)

rewrite2.3s

Algorithm

rewrite-expression-head

Rules

110×	`add-cbrt-cube` `add-exp-log`
48×	`cbrt-undiv` `div-exp`
36×	`prod-exp` `cbrt-unprod`
14×	`associate-/l/`
13×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
10×	`frac-times` `associate-*l/`
8×	`sqrt-prod`
7×	`fma-def`
6×	`associate-/r` `times-frac` `associate-r/` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `sqrt-div` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `flip3--` `frac-add` `div-inv` `flip--` `associate-/l*` `difference-of-squares`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `distribute-lft-out`

Counts

4 → 141

Calls

4 calls:

Slowest

1.8s	(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))
404.0ms	(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
49.0ms	(/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)
40.0ms	(/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)

series746.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

311.0ms	(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
297.0ms	(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))
75.0ms	(/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)
63.0ms	(/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)

simplify31.2s

Counts

108 → 153

Calls

108 calls:

Slowest

1.1s	(/ (* (* (* (* (/ d D) (/ d D)) (/ d D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h))) (* (* w w) w))
1.0s	(/ (* (* (/ (* (* d d) d) (* (* D D) D)) (* (* (/ d D) (/ d D)) (/ d D))) (/ (* (* c0 c0) c0) (* (* h h) h))) (* (* w w) w))
1.0s	(/ (* (* (* (* (/ d D) (/ d D)) (/ d D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h))) (* (* w w) w))
1.0s	(/ (* (* (/ (* (* d d) d) (* (* D D) D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h))) (* (* w w) w))
957.0ms	(/ (* (* (/ (* (* d d) d) (* (* D D) D)) (* (* (/ d D) (/ d D)) (/ d D))) (/ (* (* c0 c0) c0) (* (* h h) h))) (* (* w w) w))

prune3.0s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 27.8b

regimes1.4s

Accuracy

-21.8% (8.8b remaining)

Error of 35.4b against oracle of 26.6b and baseline of 33.8b

bsearch837.0ms

end0.0ms

sample19.3s

Algorithm

intervals

Results

4.9s	2301×	body	5120	valid
4.3s	12801×	body	80	nan
4.0s	1703×	body	2560	valid
1.6s	6718×	body	80	valid
1.3s	918×	body	1280	valid
1.2s	542×	body	10240	exit
476.0ms	454×	body	640	valid
138.0ms	209×	body	320	valid
86.0ms	139×	body	160	valid