Details

sample480.0ms

Algorithm

intervals

Results

115.0ms	83×	body	5120	valid
97.0ms	438×	body	80	nan
85.0ms	57×	body	2560	valid
58.0ms	33×	body	1280	valid
38.0ms	209×	body	80	valid
26.0ms	20×	body	10240	exit
14.0ms	20×	body	640	valid
2.0ms	3×	body	320	valid
1.0ms	3×	body	160	valid

simplify915.0ms

Counts: 1 → 1

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 50.8b

localize60.0ms

Local error

Found 4 expressions with local error:

31.3b	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
10.9b	(* (/ c0 w) (* (/ d D) (/ d D)))
10.9b	(* (/ c0 w) (* (/ d D) (/ d D)))
10.9b	(* (/ c0 w) (* (/ d D) (/ d D)))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

127×	`add-cbrt-cube` `add-exp-log`
54×	`prod-exp` `cbrt-unprod`
39×	`cbrt-undiv` `div-exp` `associate-l`
34×	`add-sqr-sqrt`
30×	`times-frac`
27×	`*-un-lft-identity`
25×	`add-cube-cbrt`
19×	`frac-times` `pow1`
17×	`associate-*r/`
11×	`associate-*l/`
9×	`pow-prod-down`
8×	`sqrt-div` `frac-add`
6×	`add-log-exp` `unswap-sqr`
4×	`flip3-+` `flip-+` `insert-posit16`
3×	`flip3--` `associate-r` `*-commutative` `div-inv` `flip--`
1×	`+-commutative` `sum-log` `distribute-lft-out`

Counts

4 → 183

Calls

4 calls:

Slowest

57.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
55.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
45.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
34.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

927.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
131.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
127.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
115.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))

simplify1.1s

Counts: 195 → 195

prune3.7s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 49.3b

localize75.0ms

Local error

Found 4 expressions with local error:

35.0b	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h))
10.9b	(* (+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h)) (/ c0 w))
10.9b	(* (/ c0 w) (* (/ d D) (/ d D)))
10.9b	(* (/ c0 w) (* (/ d D) (/ d D)))

rewrite370.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-cbrt-cube` `add-exp-log`
38×	`prod-exp` `cbrt-unprod`
37×	`add-sqr-sqrt`
32×	`frac-times`
30×	`-un-lft-identity` `times-frac` `associate-l*`
27×	`cbrt-undiv` `div-exp`
26×	`add-cube-cbrt`
24×	`sqrt-div` `frac-add`
22×	`associate-*l/`
17×	`associate-*r/`
16×	`pow1`
15×	`associate-r`
12×	`flip3-+` `flip-+`
9×	`flip3--` `flip--`
7×	`pow-prod-down`
6×	`add-log-exp` `unswap-sqr`
4×	`insert-posit16`
3×	`*-commutative` `div-inv`
2×	`distribute-lft-out`
1×	`+-commutative` `sum-log`

Counts

4 → 183

Calls

4 calls:

Slowest

210.0ms	(* (+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h)) (/ c0 w))
56.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
55.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
46.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h))

series1.9s

Counts

4 → 12

Calls

4 calls:

Slowest

839.0ms	(* (+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h)) (/ c0 w))
824.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h))
113.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
82.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))

simplify1.9s

Counts: 195 → 195

prune4.3s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 24.1b

localize3.0ms

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

prune124.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 24.1b

localize83.0ms

Local error

Found 4 expressions with local error:

31.3b	(+ (/ (/ (/ (/ c0 w) (/ D d)) (/ D d)) h) (sqrt (- (* (/ (/ (/ (/ c0 w) (/ D d)) (/ D d)) h) (/ (/ (/ (/ c0 w) (/ D d)) (/ D d)) h)) (* M M))))
10.4b	(* (+ (/ (/ (/ (/ c0 w) (/ D d)) (/ D d)) h) (sqrt (- (* (/ (/ (/ (/ c0 w) (/ D d)) (/ D d)) h) (/ (/ (/ (/ c0 w) (/ D d)) (/ D d)) h)) (* M M)))) (/ c0 w))
10.2b	(/ (/ c0 w) (/ D d))
10.2b	(/ (/ c0 w) (/ D d))

rewrite5.4s

Algorithm

rewrite-expression-head

Rules

852×	`times-frac`
409×	`add-sqr-sqrt`
408×	`*-un-lft-identity`
404×	`add-cube-cbrt`
59×	`div-inv`
33×	`add-cbrt-cube` `add-exp-log`
26×	`associate-/r` `associate-/l`
17×	`cbrt-undiv` `div-exp`
13×	`associate-r`
6×	`pow1` `sqrt-div` `frac-add` `add-log-exp`
4×	`frac-times` `associate-l` `associate-*l/` `insert-posit16`
3×	`flip3-+` `flip3--` `flip-+` `flip--`
2×	`clear-num` `frac-2neg` `prod-exp` `associate-/r/` `cbrt-unprod` `distribute-lft-out` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `sum-log` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 489

Calls

4 calls:

Slowest

4.2s	(* (+ (/ (/ (/ (/ c0 w) (/ D d)) (/ D d)) h) (sqrt (- (* (/ (/ (/ (/ c0 w) (/ D d)) (/ D d)) h) (/ (/ (/ (/ c0 w) (/ D d)) (/ D d)) h)) (* M M)))) (/ c0 w))
1.1s	(+ (/ (/ (/ (/ c0 w) (/ D d)) (/ D d)) h) (sqrt (- (* (/ (/ (/ (/ c0 w) (/ D d)) (/ D d)) h) (/ (/ (/ (/ c0 w) (/ D d)) (/ D d)) h)) (* M M))))
15.0ms	(/ (/ c0 w) (/ D d))
9.0ms	(/ (/ c0 w) (/ D d))

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

666.0ms	(* (+ (/ (/ (/ (/ c0 w) (/ D d)) (/ D d)) h) (sqrt (- (* (/ (/ (/ (/ c0 w) (/ D d)) (/ D d)) h) (/ (/ (/ (/ c0 w) (/ D d)) (/ D d)) h)) (* M M)))) (/ c0 w))
548.0ms	(+ (/ (/ (/ (/ c0 w) (/ D d)) (/ D d)) h) (sqrt (- (* (/ (/ (/ (/ c0 w) (/ D d)) (/ D d)) h) (/ (/ (/ (/ c0 w) (/ D d)) (/ D d)) h)) (* M M))))
57.0ms	(/ (/ c0 w) (/ D d))
55.0ms	(/ (/ c0 w) (/ D d))

simplify1.6s

Counts: 501 → 501

prune10.0s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 23.6b

regimes2.1s

Accuracy

18.2% (7.8b remaining)

Error of 32.2b against oracle of 24.5b and baseline of 34.0b

bsearch29.0ms

end0.0ms

sample20.7s

Algorithm

intervals

Results

4.7s	2271×	body	5120	valid
4.0s	13216×	body	80	nan
3.8s	1765×	body	2560	valid
2.6s	6917×	body	80	valid
1.7s	877×	body	1280	valid
1.3s	600×	body	10240	exit
956.0ms	452×	body	640	valid
142.0ms	218×	body	320	valid
108.0ms	104×	body	160	valid