Details

sample562.0ms

Algorithm

intervals

Results

190.0ms	72×	body	5120	valid
87.0ms	417×	body	80	nan
73.0ms	55×	body	2560	valid
49.0ms	233×	body	80	valid
42.0ms	14×	body	640	valid
35.0ms	30×	body	1280	valid
31.0ms	18×	body	10240	exit
4.0ms	7×	body	320	valid
1.0ms	2×	body	160	valid

simplify861.0ms

Counts: 1 → 1

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 50.3b

localize62.0ms

Local error

Found 4 expressions with local error:

26.9b	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
14.1b	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
13.7b	(* (/ c0 w) (* (/ d D) (/ d D)))
13.7b	(* (/ c0 w) (* (/ d D) (/ d D)))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-cbrt-cube` `add-exp-log`
36×	`prod-exp` `cbrt-unprod`
26×	`cbrt-undiv` `div-exp` `associate-l`
24×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `times-frac`
18×	`frac-times` `add-cube-cbrt`
17×	`pow1`
16×	`sqrt-div`
14×	`associate-*r/`
10×	`associate-*l/`
8×	`frac-add`
7×	`flip3-+` `pow-prod-down` `flip-+`
6×	`flip3--` `flip--` `add-log-exp`
4×	`insert-posit16` `unswap-sqr`
2×	`sqrt-pow1` `associate-r` `*-commutative` `div-inv`
1×	`+-commutative` `sum-log` `pow1/2` `sqrt-prod` `distribute-lft-out`

Counts

4 → 149

Calls

4 calls:

Slowest

59.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
54.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
42.0ms	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
33.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))

series1.8s

Counts

4 → 12

Calls

4 calls:

Slowest

823.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
712.0ms	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
113.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
106.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))

simplify515.0ms

Counts: 186 → 161

prune2.9s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 47.3b

localize83.0ms

Local error

Found 4 expressions with local error:

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

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-div`
24×	`frac-add`
16×	`frac-times`
15×	`flip3-+` `flip-+`
12×	`flip3--` `flip--`
10×	`*-un-lft-identity` `add-log-exp`
8×	`associate-l/` `associate-r/`
7×	`pow1`
4×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
3×	`+-commutative` `sum-log` `distribute-lft-out`
2×	`sqrt-pow1`
1×	`pow1/2` `pow-prod-down` `sqrt-prod`

Counts

4 → 83

Calls

4 calls:

Slowest

54.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
44.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
39.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
31.0ms	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))

series3.5s

Counts

4 → 12

Calls

4 calls:

Slowest

913.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
903.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
886.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
755.0ms	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))

simplify732.0ms

Counts: 130 → 95

prune2.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 47.3b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-div`
16×	`frac-times` `frac-add`
14×	`flip3-+` `flip-+`
12×	`flip3--` `flip--`
10×	`pow1`
8×	`-un-lft-identity` `associate-l/` `associate-*r/` `add-log-exp`
4×	`add-sqr-sqrt` `sqrt-pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
2×	`+-commutative` `sum-log` `pow1/2` `pow-prod-down` `sqrt-prod` `distribute-lft-out`

Counts

4 → 82

Calls

4 calls:

Slowest

65.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
60.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
46.0ms	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
41.0ms	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))

series3.3s

Counts

4 → 12

Calls

4 calls:

Slowest

940.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
878.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
826.0ms	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
676.0ms	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))

simplify1.1s

Counts: 128 → 94

prune2.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 47.3b

localize102.0ms

Local error

Found 4 expressions with local error:

30.9b	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h))
14.1b	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
13.7b	(* (/ c0 w) (* (/ d D) (/ d D)))
13.7b	(* (/ c0 w) (* (/ d D) (/ d D)))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-cbrt-cube` `add-exp-log`
36×	`prod-exp` `cbrt-unprod`
26×	`cbrt-undiv` `div-exp` `associate-l`
24×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `times-frac`
18×	`frac-times` `add-cube-cbrt`
17×	`pow1`
16×	`sqrt-div`
14×	`associate-*r/`
10×	`associate-*l/`
8×	`frac-add`
7×	`flip3-+` `pow-prod-down` `flip-+`
6×	`flip3--` `flip--` `add-log-exp`
4×	`insert-posit16` `unswap-sqr`
2×	`sqrt-pow1` `associate-r` `*-commutative` `div-inv`
1×	`+-commutative` `sum-log` `pow1/2` `sqrt-prod` `distribute-lft-out`

Counts

4 → 149

Calls

4 calls:

Slowest

67.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h))
51.0ms	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
30.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
28.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))

series1.8s

Counts

4 → 12

Calls

4 calls:

Slowest

832.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h))
736.0ms	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
120.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
97.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))

simplify442.0ms

Counts: 186 → 161

prune3.0s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 46.2b

regimes2.1s

Accuracy

1% (5.5b remaining)

Error of 52.7b against oracle of 47.1b and baseline of 52.7b

bsearch621.0ms

end0.0ms

sample20.5s

Algorithm

intervals

Results

5.5s	2328×	body	5120	valid
4.6s	13083×	body	80	nan
3.3s	1733×	body	2560	valid
2.0s	884×	body	1280	valid
1.8s	6768×	body	80	valid
1.3s	623×	body	10240	exit
529.0ms	445×	body	640	valid
168.0ms	213×	body	320	valid
48.0ms	112×	body	160	valid