Details

sample46.0ms

Algorithm

intervals

Results

18.0ms	306×	body	80	valid
2.0ms	10×	body	640	valid
1.0ms	3×	body	1280	valid
1.0ms	4×	body	320	valid
1.0ms	5×	body	160	valid

simplify55.0ms

Counts: 1 → 1

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ (+ 3.0 d2) d3))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

91.0ms

(* d1 (+ (+ 3.0 d2) d3))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* d1 (+ (+ 3.0 d2) d3))

simplify1.6s

Counts: 27 → 27

prune60.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
0.0b	(+ (* d1 3.0) (* d1 d2))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
3×	`distribute-lft-out`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 26

Calls

2 calls:

67.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
12.0ms	(+ (* d1 3.0) (* d1 d2))

series115.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
55.0ms	(+ (* d1 3.0) (* d1 d2))

simplify2.0s

Counts: 32 → 32

prune105.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ 3.0 d2) d3))
0.0b	(sqrt (+ (+ 3.0 d2) d3))
0.2b	(* d1 (sqrt (+ (+ 3.0 d2) d3)))
0.3b	(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

rewrite347.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`sqrt-prod`
18×	`sqrt-div`
17×	`add-sqr-sqrt`
16×	`associate-r`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

50.0ms	(sqrt (+ (+ 3.0 d2) d3))
37.0ms	(sqrt (+ (+ 3.0 d2) d3))
70.0ms	(* d1 (sqrt (+ (+ 3.0 d2) d3)))
184.0ms	(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

series291.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(sqrt (+ (+ 3.0 d2) d3))
50.0ms	(sqrt (+ (+ 3.0 d2) d3))
126.0ms	(* d1 (sqrt (+ (+ 3.0 d2) d3)))
54.0ms	(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

simplify747.0ms

Counts: 103 → 103

prune269.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* d1 (sqrt (+ (+ 3.0 d2) d3)))
0.2b	(* (* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))
0.3b	(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3)))))
0.5b	(* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

284×	`sqrt-div`
210×	`cbrt-div`
168×	`frac-times`
142×	`flip3-+` `flip-+`
134×	`associate-*r/`
76×	`*-un-lft-identity`
68×	`cbrt-prod`
60×	`associate-*l/`
51×	`sqrt-prod`
48×	`add-sqr-sqrt`
43×	`pow1`
38×	`add-exp-log`
31×	`associate-r`
30×	`distribute-lft-out`
24×	`pow-prod-down`
23×	`prod-exp` `add-cbrt-cube` `cbrt-unprod`
22×	`add-cube-cbrt`
19×	`swap-sqr`
16×	`associate-l`
11×	`unswap-sqr`
6×	`pow1/3`
4×	`*-commutative` `add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 265

Calls

4 calls:

70.0ms	(* d1 (sqrt (+ (+ 3.0 d2) d3)))
1.1s	(* (* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))
347.0ms	(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3)))))
164.0ms	(* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))

series541.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* d1 (sqrt (+ (+ 3.0 d2) d3)))
44.0ms	(* (* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))
300.0ms	(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3)))))
117.0ms	(* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))

simplify2.1s

Counts: 277 → 277

prune806.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify58.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

583.0ms	9641×	body	80	valid
32.0ms	215×	body	640	valid
17.0ms	155×	body	320	valid
17.0ms	90×	body	1280	valid
5.0ms	72×	body	160	valid