Details

sample62.0ms

Algorithm

intervals

Results

35.0ms	310×	body	80	valid
4.0ms	8×	body	640	valid
2.0ms	7×	body	320	valid
1.0ms	3×	body	160	valid
1.0ms	1×	body	1280	valid

simplify30.0ms

Counts

1 → 1

Iterations

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

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
3×	`distribute-lft-out`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`
1×	`associate-+l+`

Counts

2 → 28

Calls

2 calls:

39.0ms	(+ (+ (* d1 3) (* d1 d2)) (* d1 d3))
15.0ms	(+ (* d1 3) (* d1 d2))

series116.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ (+ (* d1 3) (* d1 d2)) (* d1 d3))
50.0ms	(+ (* d1 3) (* d1 d2))

simplify1.3s

Counts

34 → 34

Iterations

Iter	Nodes
3	3251
2	768
1	194
0	59

prune329.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

34.0ms	(* d1 (+ 3 d2))
11.0ms	(+ (* d1 (+ 3 d2)) (* d1 d3))

series100.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* d1 (+ 3 d2))
48.0ms	(+ (* d1 (+ 3 d2)) (* d1 d3))

simplify1.3s

Counts

45 → 45

Iterations

Iter	Nodes
3	3616
2	794
1	220
0	74

prune382.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 3 d2))
0.3b	(cbrt (+ 3 d2))
0.3b	(cbrt (+ 3 d2))
0.4b	(* (* d1 (* (cbrt (+ 3 d2)) (cbrt (+ 3 d2)))) (cbrt (+ 3 d2)))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
17×	`*-un-lft-identity`
16×	`cbrt-prod`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`add-cbrt-cube`
7×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `distribute-lft-out` `add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 97

Calls

4 calls:

2.0ms	(cbrt (+ 3 d2))
2.0ms	(cbrt (+ 3 d2))
2.0ms	(cbrt (+ 3 d2))
178.0ms	(* (* d1 (* (cbrt (+ 3 d2)) (cbrt (+ 3 d2)))) (cbrt (+ 3 d2)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(cbrt (+ 3 d2))
59.0ms	(cbrt (+ 3 d2))
45.0ms	(cbrt (+ 3 d2))
50.0ms	(* (* d1 (* (cbrt (+ 3 d2)) (cbrt (+ 3 d2)))) (cbrt (+ 3 d2)))

simplify1.5s

Counts

109 → 109

Iterations

Iter	Nodes
3	3609
2	1201
1	443
0	160

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* (- 9 (* d2 d2)) d1) (- 3 d2)) (* d1 d3))
5.0b	(* (- 9 (* d2 d2)) d1)
10.6b	(/ (* (- 9 (* d2 d2)) d1) (- 3 d2))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

32.0ms	(+ (/ (* (- 9 (* d2 d2)) d1) (- 3 d2)) (* d1 d3))
13.0ms	(* (- 9 (* d2 d2)) d1)
31.0ms	(/ (* (- 9 (* d2 d2)) d1) (- 3 d2))

series189.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ (/ (* (- 9 (* d2 d2)) d1) (- 3 d2)) (* d1 d3))
43.0ms	(* (- 9 (* d2 d2)) d1)
76.0ms	(/ (* (- 9 (* d2 d2)) d1) (- 3 d2))

simplify5.0s

Counts

73 → 73

Iterations

Iter	Nodes
3	7897
2	1525
1	375
0	133

prune690.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes150.0ms

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
2	12
1	12
0	8

end0.0ms

sample1.4s

Algorithm

intervals

Results

819.0ms	9512×	body	80	valid
76.0ms	242×	body	640	valid
55.0ms	99×	body	1280	valid
46.0ms	188×	body	320	valid
17.0ms	91×	body	160	valid