Details

sample579.0ms

Algorithm

intervals

Results

125.0ms	72×	body	5120	valid
114.0ms	417×	body	80	nan
83.0ms	233×	body	80	valid
71.0ms	55×	body	2560	valid
57.0ms	30×	body	1280	valid
39.0ms	14×	body	640	valid
30.0ms	18×	body	10240	exit
5.0ms	7×	body	320	valid
1.0ms	2×	body	160	valid

simplify1.0s

Counts

1 → 1

Calls

1 calls:

Slowest

1.0s	(* (/ 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)))))

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 50.3b

localize84.0ms

Local error

Found 4 expressions with local error:

26.9b	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
14.1b	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
9.5b	(/ (* (* c0 (/ d D)) (/ d D)) w)
9.5b	(/ (* (* c0 (/ d D)) (/ d D)) w)

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

62×	`add-cbrt-cube` `add-exp-log`
24×	`cbrt-undiv` `div-exp`
20×	`prod-exp` `cbrt-unprod`
13×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
8×	`sqrt-prod`
7×	`fma-def`
6×	`associate-/r` `times-frac` `associate-r/` `add-log-exp` `associate-/l/`
5×	`pow1`
4×	`expm1-log1p-u` `sqrt-div` `insert-posit16` `log1p-expm1-u`
2×	`frac-times` `clear-num` `frac-2neg` `flip3--` `associate-l/` `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 → 117

Calls

4 calls:

Slowest

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))
335.0ms	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
51.0ms	(/ (* (* c0 (/ d D)) (/ d D)) w)
50.0ms	(/ (* (* c0 (/ d D)) (/ d D)) w)

series678.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

310.0ms	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
249.0ms	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
61.0ms	(/ (* (* c0 (/ d D)) (/ d D)) w)
58.0ms	(/ (* (* c0 (/ d D)) (/ d D)) w)

simplify32.9s

Counts

137 → 129

Calls

137 calls:

Slowest

1.1s	(+ (* (sqrt (- (pow (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) 3) (pow (* M M) 3))) h) (* (sqrt (+ (* (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))) (+ (* (* M M) (* M M)) (* (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))))) (/ (* (* c0 (/ d D)) (/ d D)) w)))
1.0s	(/ (* (* (* (* c0 (/ d D)) (* c0 (/ d D))) (* c0 (/ d D))) (/ (* (* d d) d) (* (* D D) D))) (* (* w w) w))
717.0ms	(/ (* (* (* (* c0 c0) c0) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* d d) d) (* (* D D) D))) (* (* w w) w))
712.0ms	(/ (* (* (* (* c0 c0) c0) (* (* (/ d D) (/ d D)) (/ d D))) (/ (* (* d d) d) (* (* D D) D))) (* (* w w) w))
710.0ms	(/ (* (* (* (* c0 c0) c0) (* (* (/ d D) (/ d D)) (/ d D))) (/ (* (* d d) d) (* (* D D) D))) (* (* w w) w))

prune2.4s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.9b

localize17.0ms

Local error

Found 1 expressions with local error:

5.7b	(* (/ c0 (* w 2)) 0)

rewrite20.0ms

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

19.0ms

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

series2.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

1.0ms

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

simplify2.2s

Counts

33 → 34

Calls

33 calls:

Slowest

442.0ms	(log (* (/ c0 (* w 2)) 0))
325.0ms	(* (* (* (/ c0 (* w 2)) (/ c0 (* w 2))) (/ c0 (* w 2))) (* (* 0 0) 0))
286.0ms	(+ (- (log c0) (+ (log w) (log 2))) (log 0))
247.0ms	(+ (- (log c0) (log (* w 2))) (log 0))
173.0ms	(+ (log (/ c0 (* w 2))) (log 0))

prune486.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 24.8b

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

Calls

0 calls:

Slowest

prune93.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 24.8b

localize72.0ms

Local error

Found 4 expressions with local error:

26.9b	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
26.9b	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
14.1b	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
14.1b	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))

rewrite3.1s

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

1.2s	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
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))
359.0ms	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
314.0ms	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

336.0ms	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
269.0ms	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
264.0ms	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
245.0ms	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))

simplify18.9s

Counts

98 → 98

Calls

98 calls:

Slowest

716.0ms	(+ (* (sqrt (- (pow (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) 3) (pow (* M M) 3))) h) (* (sqrt (+ (* (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))) (+ (* (* M M) (* M M)) (* (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))))) (/ (* (* c0 (/ d D)) (/ d D)) w)))
599.0ms	(+ (* (sqrt (- (pow (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) 3) (pow (* M M) 3))) h) (* (sqrt (+ (* (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))) (+ (* (* M M) (* M M)) (* (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))))) (/ (* (* c0 (/ d D)) (/ d D)) w)))
588.0ms	(real->posit16 (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))))
460.0ms	(* (sqrt (+ (* (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))) (+ (* (* M M) (* M M)) (* (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))))) h)
438.0ms	(* (* (+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))) (+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)))

prune1.9s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 24.8b

regimes1.5s

Accuracy

19.9% (7.0b remaining)

Error of 31.8b against oracle of 24.8b and baseline of 33.5b

bsearch17.0ms

end0.0ms

sample20.6s

Algorithm

intervals

Results

5.8s	2328×	body	5120	valid
4.4s	13083×	body	80	nan
3.1s	1733×	body	2560	valid
2.2s	6768×	body	80	valid
1.4s	623×	body	10240	exit
1.3s	884×	body	1280	valid
617.0ms	213×	body	320	valid
518.0ms	445×	body	640	valid
54.0ms	112×	body	160	valid