Details

sample47.0ms

Algorithm

intervals

Results

27.0ms	256×	body	80	valid
7.0ms	256×	pre	80	true

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
4	3914
3	700
2	147
1	32
0	10

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1.0 (* i i))
0.3b	(/ 1/4 (- 4 (/ 1.0 (* i i))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
25×	`times-frac`
23×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`add-cbrt-cube` `add-exp-log`
8×	`difference-of-squares`
7×	`associate-/r*`
6×	`associate-/l*`
4×	`distribute-lft-out--`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `associate-/r/` `insert-posit16` `div-inv` `add-log-exp`
1×	`flip3--` `prod-exp` `cbrt-unprod` `flip--`

Counts

2 → 64

Calls

2 calls:

10.0ms	(/ 1.0 (* i i))
22.0ms	(/ 1/4 (- 4 (/ 1.0 (* i i))))

series109.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ 1.0 (* i i))
77.0ms	(/ 1/4 (- 4 (/ 1.0 (* i i))))

simplify765.0ms

Counts

70 → 70

Iterations

Iter	Nodes
3	2602
2	761
1	299
0	141

prune349.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ 1.0 (* i i))
0.2b	(* (* (cbrt 1/4) (cbrt 1/4)) (/ (cbrt 1/4) (- 4 (/ 1.0 (* i i)))))
0.3b	(/ (cbrt 1/4) (- 4 (/ 1.0 (* i i))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

102×	`add-sqr-sqrt`
90×	`times-frac`
71×	`*-un-lft-identity`
45×	`add-cube-cbrt`
42×	`associate-r`
40×	`cbrt-prod`
26×	`difference-of-squares`
22×	`add-exp-log`
15×	`add-cbrt-cube`
13×	`distribute-lft-out--`
9×	`associate-/l*`
8×	`pow1`
7×	`associate-/r*` `prod-exp` `cbrt-unprod`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r/`
3×	`pow-prod-down` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`associate-l` `associate-r/` `-commutative`

Counts

3 → 151

Calls

3 calls:

6.0ms	(/ 1.0 (* i i))
50.0ms	(* (* (cbrt 1/4) (cbrt 1/4)) (/ (cbrt 1/4) (- 4 (/ 1.0 (* i i)))))
17.0ms	(/ (cbrt 1/4) (- 4 (/ 1.0 (* i i))))

series297.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ 1.0 (* i i))
135.0ms	(* (* (cbrt 1/4) (cbrt 1/4)) (/ (cbrt 1/4) (- 4 (/ 1.0 (* i i)))))
123.0ms	(/ (cbrt 1/4) (- 4 (/ 1.0 (* i i))))

simplify696.0ms

Counts

160 → 160

Iterations

Iter	Nodes
2	2469
1	694
0	245

prune932.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* 1.0 (- (* (* i i) (* i i)))) (* (* (* i i) (* i i)) (* (* i i) 4.0))) (* 0.25 (* i i)))
0.1b	(* (* (* i i) (* i i)) (* (* i i) 4.0))
0.2b	(* (* i i) (* i i))
0.2b	(* (* i i) (* i i))

rewrite342.0ms

Algorithm

rewrite-expression-head

Rules

295×	`pow1`
100×	`pow-prod-down`
97×	`add-cbrt-cube` `add-exp-log`
72×	`pow-prod-up`
70×	`prod-exp` `cbrt-unprod`
44×	`pow-sqr`
36×	`pow-plus`
26×	`pow2`
9×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16`
3×	`diff-log` `associate-r` `associate-l` `*-commutative`
2×	`sub-neg` `swap-sqr` `associate--l+` `unswap-sqr`
1×	`associate--l-` `flip3--` `flip--`

Counts

4 → 201

Calls

4 calls:

103.0ms	(- (- (* 1.0 (- (* (* i i) (* i i)))) (* (* (* i i) (* i i)) (* (* i i) 4.0))) (* 0.25 (* i i)))
150.0ms	(* (* (* i i) (* i i)) (* (* i i) 4.0))
38.0ms	(* (* i i) (* i i))
43.0ms	(* (* i i) (* i i))

series216.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (- (* 1.0 (- (* (* i i) (* i i)))) (* (* (* i i) (* i i)) (* (* i i) 4.0))) (* 0.25 (* i i)))
62.0ms	(* (* (* i i) (* i i)) (* (* i i) 4.0))
35.0ms	(* (* i i) (* i i))
42.0ms	(* (* i i) (* i i))

simplify23.5s

Counts

213 → 213

Iterations

Iter	Nodes
3	16817
2	1802
1	428
0	141

prune558.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (* i i))
0.2b	(/ 1.0 (* i i))
0.2b	(/ 1.0 (* i i))
27.1b	(* (/ 1/4 (- (* 4 4) (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
22×	`times-frac`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`associate-l`
9×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`pow1`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-r` `insert-posit16` `div-inv` `add-log-exp`
3×	`clear-num` `associate-/r*` `frac-2neg` `difference-of-squares`
2×	`frac-times` `flip3-+` `associate-*r/` `associate-/r/` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `pow-prod-down` `associate-l/` `-commutative` `flip--` `distribute-lft-out`

Counts

4 → 111

Calls

4 calls:

7.0ms	(/ 1.0 (* i i))
7.0ms	(/ 1.0 (* i i))
6.0ms	(/ 1.0 (* i i))
67.0ms	(* (/ 1/4 (- (* 4 4) (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

series228.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ 1.0 (* i i))
50.0ms	(/ 1.0 (* i i))
35.0ms	(/ 1.0 (* i i))
92.0ms	(* (/ 1/4 (- (* 4 4) (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

simplify1.4s

Counts

123 → 123

Iterations

Iter	Nodes
2	2406
1	561
0	164

prune834.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	12
1	12
0	11

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.5s	8000×	body	80	valid
245.0ms	8000×	pre	80	true