Details

sample526.0ms

Algorithm

intervals

Results

197.0ms	83×	body	5120	valid
105.0ms	60×	body	2560	valid
79.0ms	389×	body	80	nan
42.0ms	209×	body	80	valid
21.0ms	10×	body	10240	exit
21.0ms	19×	body	1280	valid
8.0ms	10×	body	640	valid
5.0ms	7×	body	320	valid
1.0ms	2×	body	160	valid

simplify832.0ms

Counts: 1 → 1

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.5b

localize80.0ms

Local error

Found 4 expressions with local error:

31.9b	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
12.3b	(* (/ c0 w) (* (/ d D) (/ d D)))
12.3b	(* (/ c0 w) (* (/ d D) (/ d D)))
12.3b	(* (/ c0 w) (* (/ d D) (/ d D)))

rewrite155.0ms

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

54.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
35.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
33.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
28.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

934.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
105.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
98.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
90.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))

simplify1.4s

Counts: 195 → 195

prune3.6s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 50.9b

localize91.0ms

Local error

Found 4 expressions with local error:

31.9b	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
31.9b	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
31.9b	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
12.3b	(* (/ c0 w) (* (/ d D) (/ d D)))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-cbrt-cube` `add-exp-log`
24×	`sqrt-div` `frac-add`
18×	`prod-exp` `cbrt-unprod`
17×	`frac-times` `*-un-lft-identity`
14×	`add-sqr-sqrt`
13×	`cbrt-undiv` `div-exp` `associate-l`
12×	`flip3-+` `flip-+`
11×	`associate-*r/` `add-cube-cbrt`
10×	`times-frac` `add-log-exp`
9×	`pow1` `flip3--` `associate-*l/` `flip--`
4×	`insert-posit16`
3×	`+-commutative` `sum-log` `pow-prod-down` `distribute-lft-out`
2×	`unswap-sqr`
1×	`associate-r` `*-commutative` `div-inv`

Counts

4 → 117

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))
52.0ms	(+ (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))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
45.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))

series3.3s

Counts

4 → 12

Calls

4 calls:

Slowest

1.2s	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
1.0s	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
1.0s	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
99.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))

simplify1.3s

Counts: 129 → 129

prune3.0s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 50.9b

localize75.0ms

Local error

Found 4 expressions with local error:

33.7b	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
12.3b	(* (/ c0 w) (* (/ d D) (/ d D)))
12.3b	(* (/ c0 w) (* (/ d D) (/ d D)))
10.8b	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h) M)))

rewrite201.0ms

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

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))
53.0ms	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h) M)))
51.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
33.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))

series2.1s

Counts

4 → 12

Calls

4 calls:

Slowest

1.0s	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
843.0ms	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h) M)))
147.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
124.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))

simplify1.3s

Counts: 161 → 161

prune3.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 50.0b

localize70.0ms

Local error

Found 4 expressions with local error:

33.4b	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h) M))) (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h))
12.3b	(* (/ c0 w) (* (/ d D) (/ d D)))
10.8b	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h) M)))
10.0b	(* (+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h) M))) (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h)) (/ c0 w))

rewrite343.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-cbrt-cube` `add-exp-log`
32×	`sqrt-div`
31×	`frac-times`
27×	`add-sqr-sqrt`
24×	`frac-add`
23×	`*-un-lft-identity`
21×	`associate-*l/`
20×	`times-frac` `prod-exp` `cbrt-unprod`
19×	`add-cube-cbrt`
17×	`associate-l`
15×	`flip3-+` `flip-+`
14×	`pow1` `cbrt-undiv` `div-exp` `associate-r` `associate-*r/`
12×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow-prod-down`
4×	`insert-posit16` `unswap-sqr`
2×	`sqrt-pow1` `*-commutative` `div-inv` `distribute-lft-out`
1×	`+-commutative` `sum-log` `pow1/2` `sqrt-prod`

Counts

4 → 149

Calls

4 calls:

Slowest

192.0ms	(* (+ (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))
55.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h) M))) (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h))
50.0ms	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h) M)))
41.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))

series3.0s

Counts

4 → 12

Calls

4 calls:

Slowest

1.0s	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h) M))) (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h))
998.0ms	(* (+ (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))
821.0ms	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h) M)))
119.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))

simplify2.6s

Counts: 161 → 161

prune3.0s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 20.9b

regimes1.6s

Accuracy

-9% (13.9b remaining)

Error of 34.5b against oracle of 20.6b and baseline of 33.3b

bsearch1.4s

end0.0ms

sample21.0s

Algorithm

intervals

Results

5.3s	13122×	body	80	nan
5.2s	2308×	body	5120	valid
3.0s	1765×	body	2560	valid
2.3s	6712×	body	80	valid
1.7s	611×	body	10240	exit
1.5s	935×	body	1280	valid
438.0ms	407×	body	640	valid
151.0ms	231×	body	320	valid
52.0ms	103×	body	160	valid