Details

sample39.0ms

Algorithm

intervals

Results

21.0ms	286×	body	80	valid
2.0ms	10×	body	640	valid
1.0ms	4×	body	1280	valid
1.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid

simplify62.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	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

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite43.0ms

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:

42.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify2.2s

Counts

28 → 28

Iterations

Iter	Nodes
done	5068
3	3856
2	623
1	164
0	51

prune126.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

26.0ms	(* (+ 3 d3) d1)
15.0ms	(+ (* d2 d1) (* (+ 3 d3) d1))

series111.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* (+ 3 d3) d1)
62.0ms	(+ (* d2 d1) (* (+ 3 d3) d1))

simplify2.2s

Counts

41 → 41

Iterations

Iter	Nodes
done	5013
3	3008
2	649
1	200
0	68

prune175.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 3 d3))
0.3b	(cbrt (+ 3 d3))
0.3b	(* (* (cbrt (+ 3 d3)) (cbrt (+ 3 d3))) (* (cbrt (+ 3 d3)) d1))
0.3b	(* (cbrt (+ 3 d3)) d1)

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
34×	`associate-*l/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
18×	`pow1` `add-exp-log`
15×	`*-un-lft-identity`
13×	`cbrt-prod` `add-sqr-sqrt`
11×	`add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
8×	`associate-l` `associate-*r/`
4×	`associate-r` `insert-posit16` `add-log-exp`
3×	`distribute-lft-out`
2×	`pow1/3` `*-commutative` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

2.0ms	(cbrt (+ 3 d3))
2.0ms	(cbrt (+ 3 d3))
76.0ms	(* (* (cbrt (+ 3 d3)) (cbrt (+ 3 d3))) (* (cbrt (+ 3 d3)) d1))
29.0ms	(* (cbrt (+ 3 d3)) d1)

series337.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(cbrt (+ 3 d3))
67.0ms	(cbrt (+ 3 d3))
48.0ms	(* (* (cbrt (+ 3 d3)) (cbrt (+ 3 d3))) (* (cbrt (+ 3 d3)) d1))
164.0ms	(* (cbrt (+ 3 d3)) d1)

simplify2.9s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
3	4715
2	1483
1	535
0	184

prune464.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 9 (* d3 d3))
0.0b	(+ (* d2 d1) (/ (* d1 (- 9 (* d3 d3))) (- 3 d3)))
6.0b	(* d1 (- 9 (* d3 d3)))
8.5b	(/ (* d1 (- 9 (* d3 d3))) (- 3 d3))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

5.0ms	(- 9 (* d3 d3))
15.0ms	(+ (* d2 d1) (/ (* d1 (- 9 (* d3 d3))) (- 3 d3)))
18.0ms	(* d1 (- 9 (* d3 d3)))
21.0ms	(/ (* d1 (- 9 (* d3 d3))) (- 3 d3))

series317.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- 9 (* d3 d3))
84.0ms	(+ (* d2 d1) (/ (* d1 (- 9 (* d3 d3))) (- 3 d3)))
80.0ms	(* d1 (- 9 (* d3 d3)))
100.0ms	(/ (* d1 (- 9 (* d3 d3))) (- 3 d3))

simplify1.4s

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
2	1532
1	407
0	142

prune423.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	9481×	body	80	valid
57.0ms	210×	body	640	valid
37.0ms	99×	body	1280	valid
31.0ms	139×	body	320	valid
11.0ms	79×	body	160	valid