Details

sample596.0ms

Algorithm

intervals

Results

170.0ms	83×	body	5120	valid
109.0ms	438×	body	80	nan
105.0ms	57×	body	2560	valid
66.0ms	209×	body	80	valid
36.0ms	20×	body	10240	exit
36.0ms	33×	body	1280	valid
17.0ms	20×	body	640	valid
1.0ms	3×	body	320	valid
1.0ms	3×	body	160	valid

simplify929.0ms

Counts: 1 → 1

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 51.5b

localize47.0ms

Local error

Found 4 expressions with local error:

31.3b	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
10.4b	(* (/ c0 (* w 2)) (+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)))
9.6b	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
8.4b	(/ (* (* c0 (/ d D)) (/ d D)) w)

rewrite4.7s

Algorithm

rewrite-expression-head

Rules

42×	`add-cbrt-cube` `add-exp-log`
16×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
14×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
12×	`add-cube-cbrt`
8×	`sqrt-div` `sqrt-prod`
7×	`pow1` `fma-def` `associate-l` `associate-*r/`
6×	`times-frac` `frac-add` `add-log-exp`
5×	`frac-times`
4×	`expm1-log1p-u` `flip3--` `associate-r` `insert-posit16` `log1p-expm1-u` `flip--`
3×	`associate-/r*` `flip3-+` `flip-+` `associate-/l/`
2×	`associate-*l/` `div-inv` `distribute-lft-out` `difference-of-squares`
1×	`distribute-rgt-in` `+-commutative` `rem-sqrt-square` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `sqrt-pow1` `pow1/2` `pow-prod-down` `-commutative` `associate-/l` `unswap-sqr`

Counts

4 → 121

Calls

4 calls:

Slowest

3.1s	(* (/ c0 (* w 2)) (+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)))
1.3s	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
295.0ms	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
52.0ms	(/ (* (* c0 (/ d D)) (/ d D)) w)

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

753.0ms	(* (/ c0 (* w 2)) (+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)))
304.0ms	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
299.0ms	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
74.0ms	(/ (* (* c0 (/ d D)) (/ d D)) w)

simplify1.9s

Counts: 133 → 133

prune2.9s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 24.5b

localize0.0ms

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

prune95.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 24.5b

localize129.0ms

Local error

Found 4 expressions with local error:

31.3b	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
31.3b	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
9.6b	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
9.6b	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))

rewrite3.5s

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-prod`
14×	`fma-def` `*-un-lft-identity`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
8×	`sqrt-div` `add-log-exp`
6×	`pow1`
4×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `frac-add` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `difference-of-squares`
2×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `distribute-lft-out`

Counts

4 → 86

Calls

4 calls:

Slowest

1.5s	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
1.4s	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
354.0ms	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
303.0ms	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

316.0ms	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
307.0ms	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
292.0ms	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
283.0ms	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))

simplify2.1s

Counts: 98 → 98

prune2.3s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 24.5b

localize154.0ms

Local error

Found 4 expressions with local error:

31.3b	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
31.3b	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
31.3b	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
10.4b	(* (/ c0 (* w 2)) (+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)))

rewrite7.0s

Algorithm

rewrite-expression-head

Rules

21×	`fma-def` `*-un-lft-identity`
15×	`add-sqr-sqrt`
13×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
12×	`sqrt-prod`
10×	`sqrt-div` `frac-add` `add-log-exp`
7×	`associate-l`
6×	`pow1`
5×	`flip3-+` `flip3--` `flip-+` `flip--`
4×	`expm1-log1p-u` `frac-times` `associate-r` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
3×	`+-commutative` `sum-log` `times-frac` `difference-of-squares`
2×	`cbrt-undiv` `div-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

Slowest

3.1s	(* (/ c0 (* w 2)) (+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)))
1.4s	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
1.4s	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
1.2s	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))

series1.6s

Counts

4 → 12

Calls

4 calls:

Slowest

615.0ms	(* (/ c0 (* w 2)) (+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)))
350.0ms	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
347.0ms	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
315.0ms	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))

simplify1.3s

Counts: 125 → 125

prune2.6s

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 24.5b

regimes1.6s

Accuracy

12.2% (8.0b remaining)

Error of 32.9b against oracle of 24.9b and baseline of 34.0b

bsearch10.0ms

end0.0ms

sample20.7s

Algorithm

intervals

Results

4.9s	13216×	body	80	nan
4.9s	2271×	body	5120	valid
3.5s	1765×	body	2560	valid
2.4s	6917×	body	80	valid
1.7s	877×	body	1280	valid
1.3s	600×	body	10240	exit
432.0ms	452×	body	640	valid
150.0ms	218×	body	320	valid
45.0ms	104×	body	160	valid