Details

sample597.0ms

Algorithm

intervals

Results

163.0ms	83×	body	5120	valid
115.0ms	60×	body	2560	valid
100.0ms	389×	body	80	nan
74.0ms	209×	body	80	valid
52.0ms	19×	body	1280	valid
21.0ms	10×	body	10240	exit
13.0ms	10×	body	640	valid
5.0ms	7×	body	320	valid
1.0ms	2×	body	160	valid

simplify899.0ms

Counts: 1 → 1

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 51.6b

localize47.0ms

Local error

Found 4 expressions with local error:

31.9b	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
10.8b	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
10.8b	(* (/ 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)))
8.2b	(- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))

rewrite5.0s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

Slowest

2.9s	(* (/ 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)))
1.7s	(+ (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)))
115.0ms	(- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))

series1.8s

Counts

4 → 12

Calls

4 calls:

Slowest

725.0ms	(* (/ 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)))
486.0ms	(- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))
325.0ms	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
265.0ms	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))

simplify1.7s

Counts: 114 → 114

prune2.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 24.0b

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

prune120.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 24.0b

localize96.0ms

Local error

Found 4 expressions with local error:

31.9b	(+ (sqrt (* (+ M (* (/ (/ d D) h) (/ (* (/ d D) c0) w))) (- (* (/ (/ d D) h) (/ (* (/ d D) c0) w)) M))) (* (/ (/ d D) h) (/ (* (/ d D) c0) w)))
10.8b	(sqrt (* (+ M (* (/ (/ d D) h) (/ (* (/ d D) c0) w))) (- (* (/ (/ d D) h) (/ (* (/ d D) c0) w)) M)))
6.8b	(/ (* (/ d D) c0) w)
6.8b	(/ (* (/ d D) c0) w)

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-div`
24×	`frac-times` `frac-add`
22×	`add-cbrt-cube` `add-exp-log`
18×	`associate-*l/`
16×	`associate-*r/`
13×	`flip3-+` `flip-+`
12×	`flip3--` `flip--`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`cbrt-undiv` `div-exp`
7×	`pow1`
6×	`associate-/r*` `times-frac` `add-log-exp`
4×	`expm1-log1p-u` `fma-def` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `sqrt-pow1` `sqrt-prod` `div-inv` `associate-/l*` `associate-/l/`
1×	`+-commutative` `sum-log` `pow1/2` `pow-prod-down`

Counts

4 → 118

Calls

4 calls:

Slowest

41.0ms	(+ (sqrt (* (+ M (* (/ (/ d D) h) (/ (* (/ d D) c0) w))) (- (* (/ (/ d D) h) (/ (* (/ d D) c0) w)) M))) (* (/ (/ d D) h) (/ (* (/ d D) c0) w)))
41.0ms	(sqrt (* (+ M (* (/ (/ d D) h) (/ (* (/ d D) c0) w))) (- (* (/ (/ d D) h) (/ (* (/ d D) c0) w)) M)))
23.0ms	(/ (* (/ d D) c0) w)
23.0ms	(/ (* (/ d D) c0) w)

series1.9s

Counts

4 → 12

Calls

4 calls:

Slowest

1.0s	(+ (sqrt (* (+ M (* (/ (/ d D) h) (/ (* (/ d D) c0) w))) (- (* (/ (/ d D) h) (/ (* (/ d D) c0) w)) M))) (* (/ (/ d D) h) (/ (* (/ d D) c0) w)))
825.0ms	(sqrt (* (+ M (* (/ (/ d D) h) (/ (* (/ d D) c0) w))) (- (* (/ (/ d D) h) (/ (* (/ d D) c0) w)) M)))
48.0ms	(/ (* (/ d D) c0) w)
34.0ms	(/ (* (/ d D) c0) w)

simplify1.5s

Counts: 130 → 130

prune2.4s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 22.2b

localize108.0ms

Local error

Found 4 expressions with local error:

31.9b	(+ (sqrt (* (+ M (* (/ (/ d D) h) (/ (* (/ d D) c0) w))) (- (* (/ (/ d D) h) (/ (* (/ d D) c0) w)) M))) (* (/ (/ d D) h) (/ (* (/ d D) c0) w)))
31.9b	(+ (sqrt (* (+ M (* (/ (/ d D) h) (/ (* (/ d D) c0) w))) (- (* (/ (/ d D) h) (/ (* (/ d D) c0) w)) M))) (* (/ (/ d D) h) (/ (* (/ d D) c0) w)))
31.9b	(+ (sqrt (* (+ M (* (/ (/ d D) h) (/ (* (/ d D) c0) w))) (- (* (/ (/ d D) h) (/ (* (/ d D) c0) w)) M))) (* (/ (/ d D) h) (/ (* (/ d D) c0) w)))
10.8b	(sqrt (* (+ M (* (/ (/ d D) h) (/ (* (/ d D) c0) w))) (- (* (/ (/ d D) h) (/ (* (/ d D) c0) w)) M)))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

80×	`sqrt-div`
72×	`frac-add`
64×	`frac-times`
44×	`associate-l/` `associate-r/`
33×	`flip3-+` `flip-+`
30×	`flip3--` `flip--`
12×	`fma-def`
10×	`add-log-exp`
7×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `sqrt-prod` `insert-posit16` `log1p-expm1-u`
3×	`+-commutative` `sum-log`
2×	`sqrt-pow1`
1×	`pow1/2` `pow-prod-down`

Counts

4 → 148

Calls

4 calls:

Slowest

42.0ms	(+ (sqrt (* (+ M (* (/ (/ d D) h) (/ (* (/ d D) c0) w))) (- (* (/ (/ d D) h) (/ (* (/ d D) c0) w)) M))) (* (/ (/ d D) h) (/ (* (/ d D) c0) w)))
41.0ms	(sqrt (* (+ M (* (/ (/ d D) h) (/ (* (/ d D) c0) w))) (- (* (/ (/ d D) h) (/ (* (/ d D) c0) w)) M)))
41.0ms	(+ (sqrt (* (+ M (* (/ (/ d D) h) (/ (* (/ d D) c0) w))) (- (* (/ (/ d D) h) (/ (* (/ d D) c0) w)) M))) (* (/ (/ d D) h) (/ (* (/ d D) c0) w)))
34.0ms	(+ (sqrt (* (+ M (* (/ (/ d D) h) (/ (* (/ d D) c0) w))) (- (* (/ (/ d D) h) (/ (* (/ d D) c0) w)) M))) (* (/ (/ d D) h) (/ (* (/ d D) c0) w)))

series3.7s

Counts

4 → 12

Calls

4 calls:

Slowest

994.0ms	(+ (sqrt (* (+ M (* (/ (/ d D) h) (/ (* (/ d D) c0) w))) (- (* (/ (/ d D) h) (/ (* (/ d D) c0) w)) M))) (* (/ (/ d D) h) (/ (* (/ d D) c0) w)))
969.0ms	(+ (sqrt (* (+ M (* (/ (/ d D) h) (/ (* (/ d D) c0) w))) (- (* (/ (/ d D) h) (/ (* (/ d D) c0) w)) M))) (* (/ (/ d D) h) (/ (* (/ d D) c0) w)))
966.0ms	(+ (sqrt (* (+ M (* (/ (/ d D) h) (/ (* (/ d D) c0) w))) (- (* (/ (/ d D) h) (/ (* (/ d D) c0) w)) M))) (* (/ (/ d D) h) (/ (* (/ d D) c0) w)))
816.0ms	(sqrt (* (+ M (* (/ (/ d D) h) (/ (* (/ d D) c0) w))) (- (* (/ (/ d D) h) (/ (* (/ d D) c0) w)) M)))

simplify1.4s

Counts: 160 → 160

prune4.2s

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 22.2b

regimes1.6s

Accuracy

-12.9% (13.2b remaining)

Error of 34.8b against oracle of 21.6b and baseline of 33.3b

bsearch1.7s

end0.0ms

sample19.8s

Algorithm

intervals

Results

5.7s	2308×	body	5120	valid
4.4s	13122×	body	80	nan
3.3s	1765×	body	2560	valid
2.0s	6712×	body	80	valid
1.2s	935×	body	1280	valid
1.2s	611×	body	10240	exit
463.0ms	407×	body	640	valid
153.0ms	231×	body	320	valid
69.0ms	103×	body	160	valid