Details

sample36.0ms

Algorithm

intervals

Results

20.0ms	321×	body	80	valid
2.0ms	7×	body	640	valid
1.0ms	5×	body	1280	valid
1.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid

simplify41.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	62
5	62
4	61
3	49
2	33
1	18
0	9

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d2 (+ 3 d3)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

64.0ms

(* d1 (+ d2 (+ 3 d3)))

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(* d1 (+ d2 (+ 3 d3)))

simplify932.0ms

Counts

28 → 28

Iterations

Iter	Nodes
3	3100
2	558
1	148
0	51

prune275.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ d2 (+ 3 d3)))
0.0b	(sqrt (+ d2 (+ 3 d3)))
0.2b	(* d1 (sqrt (+ d2 (+ 3 d3))))
0.3b	(* (* d1 (sqrt (+ d2 (+ 3 d3)))) (sqrt (+ d2 (+ 3 d3))))

rewrite238.0ms

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-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

15.0ms	(sqrt (+ d2 (+ 3 d3)))
16.0ms	(sqrt (+ d2 (+ 3 d3)))
69.0ms	(* d1 (sqrt (+ d2 (+ 3 d3))))
136.0ms	(* (* d1 (sqrt (+ d2 (+ 3 d3)))) (sqrt (+ d2 (+ 3 d3))))

series287.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(sqrt (+ d2 (+ 3 d3)))
56.0ms	(sqrt (+ d2 (+ 3 d3)))
108.0ms	(* d1 (sqrt (+ d2 (+ 3 d3))))
50.0ms	(* (* d1 (sqrt (+ d2 (+ 3 d3)))) (sqrt (+ d2 (+ 3 d3))))

simplify1.6s

Counts

107 → 107

Iterations

Iter	Nodes
3	4127
2	1050
1	358
0	137

prune939.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

1.7b	(+ (* (* (+ d3 3) (+ d3 3)) (+ d3 3)) (* d2 (* d2 d2)))
2.0b	(- (* (+ d3 3) (+ d3 3)) (* d2 (+ d3 3)))
2.6b	(* d1 (+ (* (* (+ d3 3) (+ d3 3)) (+ d3 3)) (* d2 (* d2 d2))))
26.0b	(/ (* d1 (+ (* (* (+ d3 3) (+ d3 3)) (+ d3 3)) (* d2 (* d2 d2)))) (+ (- (* (+ d3 3) (+ d3 3)) (* d2 (+ d3 3))) (* d2 d2)))

rewrite459.0ms

Algorithm

rewrite-expression-head

Rules

30×	`associate-*r/`
28×	`flip3-+` `flip-+`
16×	`frac-sub`
11×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
8×	`frac-times` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
6×	`pow1` `associate-*l/`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `insert-posit16` `sub-div`
3×	`associate-/r` `times-frac` `associate-l*`
2×	`cbrt-undiv` `associate-+l+` `cube-unmult` `div-exp` `pow3` `prod-exp` `associate--l+` `associate-/r/` `sum-cubes` `cbrt-unprod` `associate--r+` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `distribute-rgt-out--` `diff-log` `pow-prod-down` `-commutative` `div-inv` `flip--` `associate-/l` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

74.0ms	(+ (* (* (+ d3 3) (+ d3 3)) (+ d3 3)) (* d2 (* d2 d2)))
32.0ms	(- (* (+ d3 3) (+ d3 3)) (* d2 (+ d3 3)))
191.0ms	(* d1 (+ (* (* (+ d3 3) (+ d3 3)) (+ d3 3)) (* d2 (* d2 d2))))
160.0ms	(/ (* d1 (+ (* (* (+ d3 3) (+ d3 3)) (+ d3 3)) (* d2 (* d2 d2)))) (+ (- (* (+ d3 3) (+ d3 3)) (* d2 (+ d3 3))) (* d2 d2)))

series644.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(+ (* (* (+ d3 3) (+ d3 3)) (+ d3 3)) (* d2 (* d2 d2)))
46.0ms	(- (* (+ d3 3) (+ d3 3)) (* d2 (+ d3 3)))
229.0ms	(* d1 (+ (* (* (+ d3 3) (+ d3 3)) (+ d3 3)) (* d2 (* d2 d2))))
266.0ms	(/ (* d1 (+ (* (* (+ d3 3) (+ d3 3)) (+ d3 3)) (* d2 (* d2 d2)))) (+ (- (* (+ d3 3) (+ d3 3)) (* d2 (+ d3 3))) (* d2 d2)))

simplify1.6s

Counts

115 → 115

Iterations

Iter	Nodes
2	4093
1	853
0	257

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

5.1b	(/ (+ (* (* (+ d3 3) (+ d3 3)) (+ d3 3)) (* d2 (* d2 d2))) (sqrt (+ (- (* (+ d3 3) (+ d3 3)) (* d2 (+ d3 3))) (* d2 d2))))
17.8b	(sqrt (+ (- (* (+ d3 3) (+ d3 3)) (* d2 (+ d3 3))) (* d2 d2)))
17.8b	(sqrt (+ (- (* (+ d3 3) (+ d3 3)) (* d2 (+ d3 3))) (* d2 d2)))
20.1b	(* (/ d1 (sqrt (+ (- (* (+ d3 3) (+ d3 3)) (* d2 (+ d3 3))) (* d2 d2)))) (/ (+ (* (* (+ d3 3) (+ d3 3)) (+ d3 3)) (* d2 (* d2 d2))) (sqrt (+ (- (* (+ d3 3) (+ d3 3)) (* d2 (+ d3 3))) (* d2 d2)))))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
78×	`times-frac`
51×	`*-un-lft-identity` `add-cube-cbrt`
48×	`sqrt-prod`
30×	`associate-r`
24×	`associate-l`
18×	`add-cbrt-cube` `add-exp-log`
13×	`cube-unmult` `pow3` `sum-cubes`
10×	`sqrt-div`
9×	`unswap-sqr`
8×	`pow1`
6×	`associate-/r*` `flip3-+` `associate-/r/` `flip-+`
5×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `associate-/l*` `add-log-exp`
3×	`div-inv`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/l/`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 167

Calls

4 calls:

216.0ms	(/ (+ (* (* (+ d3 3) (+ d3 3)) (+ d3 3)) (* d2 (* d2 d2))) (sqrt (+ (- (* (+ d3 3) (+ d3 3)) (* d2 (+ d3 3))) (* d2 d2))))
104.0ms	(sqrt (+ (- (* (+ d3 3) (+ d3 3)) (* d2 (+ d3 3))) (* d2 d2)))
121.0ms	(sqrt (+ (- (* (+ d3 3) (+ d3 3)) (* d2 (+ d3 3))) (* d2 d2)))
633.0ms	(* (/ d1 (sqrt (+ (- (* (+ d3 3) (+ d3 3)) (* d2 (+ d3 3))) (* d2 d2)))) (/ (+ (* (* (+ d3 3) (+ d3 3)) (+ d3 3)) (* d2 (* d2 d2))) (sqrt (+ (- (* (+ d3 3) (+ d3 3)) (* d2 (+ d3 3))) (* d2 d2)))))

series763.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(/ (+ (* (* (+ d3 3) (+ d3 3)) (+ d3 3)) (* d2 (* d2 d2))) (sqrt (+ (- (* (+ d3 3) (+ d3 3)) (* d2 (+ d3 3))) (* d2 d2))))
112.0ms	(sqrt (+ (- (* (+ d3 3) (+ d3 3)) (* d2 (+ d3 3))) (* d2 d2)))
109.0ms	(sqrt (+ (- (* (+ d3 3) (+ d3 3)) (* d2 (+ d3 3))) (* d2 d2)))
306.0ms	(* (/ d1 (sqrt (+ (- (* (+ d3 3) (+ d3 3)) (* d2 (+ d3 3))) (* d2 d2)))) (/ (+ (* (* (+ d3 3) (+ d3 3)) (+ d3 3)) (* d2 (* d2 d2))) (sqrt (+ (- (* (+ d3 3) (+ d3 3)) (* d2 (+ d3 3))) (* d2 d2)))))

simplify1.3s

Counts

179 → 179

Iterations

Iter	Nodes
2	2611
1	709
0	234

prune2.3s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	10
1	10
0	7

end0.0ms

sample1.8s

Algorithm

intervals

Results

947.0ms	9631×	body	80	valid
93.0ms	220×	body	640	valid
29.0ms	132×	body	320	valid
28.0ms	76×	body	1280	valid
14.0ms	90×	body	160	valid