Details

sample610.0ms

Algorithm

intervals

Results

164.0ms	88×	body	5120	valid
135.0ms	443×	body	80	nan
117.0ms	53×	body	2560	valid
49.0ms	209×	body	80	valid
40.0ms	22×	body	10240	exit
29.0ms	25×	body	1280	valid
15.0ms	17×	body	640	valid
8.0ms	12×	body	320	valid

simplify1.1s

Counts

1 → 1

Calls

1 calls:

Slowest

1.1s	(* (/ 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)))))

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.3b

localize56.0ms

Local error

Found 4 expressions with local error:

29.6b	(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))
14.4b	(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
11.8b	(* (* (/ d D) (/ d D)) (/ c0 h))
11.8b	(* (* (/ d D) (/ d D)) (/ c0 h))

rewrite2.3s

Algorithm

rewrite-expression-head

Rules

86×	`add-cbrt-cube` `add-exp-log`
36×	`prod-exp` `cbrt-unprod`
28×	`add-sqr-sqrt`
26×	`cbrt-undiv` `div-exp` `associate-r`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`times-frac`
15×	`pow1`
10×	`frac-times` `associate-*l/`
8×	`sqrt-prod`
7×	`fma-def`
6×	`pow-prod-down` `associate-*r/` `add-log-exp`
4×	`expm1-log1p-u` `sqrt-div` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
2×	`flip3--` `associate-l` `frac-add` `*-commutative` `div-inv` `flip--` `difference-of-squares`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `distribute-lft-out`

Counts

4 → 155

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))
406.0ms	(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
48.0ms	(* (* (/ d D) (/ d D)) (/ c0 h))
41.0ms	(* (* (/ d D) (/ d D)) (/ c0 h))

series691.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

314.0ms	(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))
264.0ms	(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
65.0ms	(* (* (/ d D) (/ d D)) (/ c0 h))
47.0ms	(* (* (/ d D) (/ d D)) (/ c0 h))

simplify20.5s

Counts

130 → 167

Calls

130 calls:

Slowest

761.0ms	(* (* (* (* (/ d D) (/ d D)) (/ d D)) (/ (* (* d d) d) (* (* D D) D))) (* (* (/ c0 h) (/ c0 h)) (/ c0 h)))
654.0ms	(+ (* (sqrt (- (pow (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) 3) (pow (* M M) 3))) w) (* (sqrt (+ (* (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))) (+ (* (* M M) (* M M)) (* (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))))) (* (* (/ d D) (/ d D)) (/ c0 h))))
586.0ms	(* (* (/ (* (* d d) d) (* (* D D) D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h)))
579.0ms	(* (* (/ (* (* d d) d) (* (* D D) D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h)))
473.0ms	(* (* (* (* (/ d D) (/ d D)) (/ d D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h)))

prune3.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 26.8b

localize18.0ms

Local error

Found 2 expressions with local error:

5.2b	(* (/ c0 (* w 2)) 0)
0.2b	(/ c0 (* w 2))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

Slowest

32.0ms	(* (/ c0 (* w 2)) 0)
11.0ms	(/ c0 (* w 2))

series31.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

28.0ms	(/ c0 (* w 2))
2.0ms	(* (/ c0 (* w 2)) 0)

simplify1.8s

Counts

35 → 61

Calls

35 calls:

Slowest

372.0ms	(* (* (* (/ c0 (* w 2)) (/ c0 (* w 2))) (/ c0 (* w 2))) (* (* 0 0) 0))
237.0ms	(+ (- (log c0) (+ (log w) (log 2))) (log 0))
221.0ms	(+ (log (/ c0 (* w 2))) (log 0))
192.0ms	(+ (- (log c0) (log (* w 2))) (log 0))
136.0ms	(/ (* (* c0 c0) c0) (* (* (* w 2) (* w 2)) (* w 2)))

prune677.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.3b

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

prune102.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 25.3b

localize28.0ms

Local error

Found 2 expressions with local error:

5.2b	(* (/ c0 (* w 2)) 0)
0.2b	(/ c0 (* w 2))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

Slowest

28.0ms	(* (/ c0 (* w 2)) 0)
6.0ms	(/ c0 (* w 2))

series31.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

29.0ms	(/ c0 (* w 2))
2.0ms	(* (/ c0 (* w 2)) 0)

simplify1.9s

Counts

35 → 61

Calls

35 calls:

Slowest

338.0ms	(* (* (* (/ c0 (* w 2)) (/ c0 (* w 2))) (/ c0 (* w 2))) (* (* 0 0) 0))
258.0ms	(+ (- (log c0) (+ (log w) (log 2))) (log 0))
199.0ms	(+ (- (log c0) (log (* w 2))) (log 0))
176.0ms	(+ (log (/ c0 (* w 2))) (log 0))
162.0ms	(/ (* (* c0 c0) c0) (* (* (* w 2) (* w 2)) (* w 2)))

prune1.4s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 25.3b

regimes1.7s

Accuracy

17.1% (6.5b remaining)

Error of 32.7b against oracle of 26.2b and baseline of 34.1b

bsearch19.0ms

end0.0ms

sample20.4s

Algorithm

intervals

Results

4.7s	2225×	body	5120	valid
4.4s	13064×	body	80	nan
3.7s	1708×	body	2560	valid
2.3s	6783×	body	80	valid
2.1s	940×	body	1280	valid
1.3s	617×	body	10240	exit
472.0ms	475×	body	640	valid
204.0ms	250×	body	320	valid
59.0ms	118×	body	160	valid