Details

sample68.0ms

Algorithm

intervals

Results

39.0ms	256×	body	80	valid
15.0ms	256×	pre	80	true

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
4	3916
3	700
2	147
1	32
0	10

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize18.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1.0 (* i i))
0.8b	(/ 1/4 (- 4 (/ 1.0 (* i i))))

rewrite38.0ms

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:

11.0ms	(/ 1.0 (* i i))
27.0ms	(/ 1/4 (- 4 (/ 1.0 (* i i))))

series90.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ 1.0 (* i i))
61.0ms	(/ 1/4 (- 4 (/ 1.0 (* i i))))

simplify943.0ms

Counts

70 → 70

Iterations

Iter	Nodes
3	2567
2	760
1	300
0	141

prune528.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
0.1b	(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
0.1b	(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

178×	`add-sqr-sqrt`
119×	`times-frac`
79×	`*-un-lft-identity`
49×	`add-cube-cbrt`
42×	`difference-of-squares`
36×	`associate-r`
35×	`sqrt-prod`
31×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`associate-l`
14×	`associate-/r*`
11×	`div-exp`
8×	`prod-exp` `associate-/r/`
7×	`distribute-lft-out` `distribute-lft-out--`
6×	`pow1` `cbrt-undiv` `associate-/l*` `unswap-sqr`
4×	`cbrt-unprod` `div-inv`
3×	`rec-exp` `1-exp` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3-+` `flip3--` `flip-+` `flip--`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 181

Calls

3 calls:

91.0ms	(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
16.0ms	(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
20.0ms	(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

series383.0ms

Counts

3 → 9

Calls

3 calls:

221.0ms	(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
85.0ms	(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
77.0ms	(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

simplify1.1s

Counts

190 → 190

Iterations

Iter	Nodes
2	2276
1	694
0	252

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1.0 (* i i))
0.3b	(/ 1.0 (* i i))
0.3b	(/ 1.0 (* i i))
22.2b	(* (/ 1/4 (- (* 4 4) (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

rewrite91.0ms

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:

13.0ms	(/ 1.0 (* i i))
7.0ms	(/ 1.0 (* i i))
6.0ms	(/ 1.0 (* i i))
63.0ms	(* (/ 1/4 (- (* 4 4) (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

series648.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ 1.0 (* i i))
44.0ms	(/ 1.0 (* i i))
59.0ms	(/ 1.0 (* i i))
511.0ms	(* (/ 1/4 (- (* 4 4) (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

simplify1.3s

Counts

123 → 123

Iterations

Iter	Nodes
2	2402
1	562
0	164

prune1.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* i i) 4.0)
0.1b	(* (* (* i i) (* i i)) (* (* i i) 4.0))
0.2b	(* (* i i) (* i i))
0.2b	(* (* i i) (* i i))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

300×	`pow1`
103×	`pow-prod-down`
102×	`add-cbrt-cube` `add-exp-log`
73×	`prod-exp` `cbrt-unprod`
72×	`pow-prod-up`
44×	`pow-sqr`
36×	`pow-plus`
26×	`pow2`
6×	`add-sqr-sqrt` `associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `*-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`swap-sqr`

Counts

4 → 204

Calls

4 calls:

16.0ms	(* (* i i) 4.0)
110.0ms	(* (* (* i i) (* i i)) (* (* i i) 4.0))
31.0ms	(* (* i i) (* i i))
25.0ms	(* (* i i) (* i i))

series195.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* i i) 4.0)
76.0ms	(* (* (* i i) (* i i)) (* (* i i) 4.0))
37.0ms	(* (* i i) (* i i))
54.0ms	(* (* i i) (* i i))

simplify1.4s

Counts

216 → 216

Iterations

Iter	Nodes
3	2767
2	895
1	342
0	114

prune1.9s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	18
1	18
0	13

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
222.0ms	8000×	pre	80	true