Details

sample54.0ms

Algorithm

intervals

Results

31.0ms	256×	body	80	valid
9.0ms	256×	pre	80	true

simplify2.2s

Counts: 1 → 1

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize23.0ms

Local error

Found 3 expressions with local error:

0.8b	(/ 1/4 (- 4 (/ 1.0 (* i i))))
0.3b	(/ 1.0 (* i i))
0.0b	(- 4 (/ 1.0 (* i i)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
26×	`*-un-lft-identity` `times-frac`
16×	`add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
7×	`associate-/r*`
6×	`associate-/l*`
5×	`distribute-lft-out--` `add-log-exp`
3×	`pow1` `cbrt-undiv` `div-exp` `insert-posit16`
2×	`clear-num` `frac-2neg` `flip3--` `associate-/r/` `div-inv` `flip--`
1×	`sub-neg` `diff-log` `prod-exp` `cbrt-unprod`

Counts

3 → 80

Calls

3 calls:

Slowest

22.0ms	(/ 1/4 (- 4 (/ 1.0 (* i i))))
8.0ms	(- 4 (/ 1.0 (* i i)))
6.0ms	(/ 1.0 (* i i))

series200.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

89.0ms	(- 4 (/ 1.0 (* i i)))
81.0ms	(/ 1/4 (- 4 (/ 1.0 (* i i))))
29.0ms	(/ 1.0 (* i i))

simplify846.0ms

Counts: 89 → 89

prune604.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

195×	`add-sqr-sqrt`
123×	`times-frac`
82×	`*-un-lft-identity`
50×	`add-cube-cbrt`
48×	`difference-of-squares`
40×	`sqrt-prod`
36×	`associate-r`
32×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`associate-l`
14×	`associate-/r*`
11×	`div-exp`
8×	`prod-exp` `associate-/r/` `distribute-lft-out--`
7×	`pow1` `distribute-lft-out`
6×	`cbrt-undiv` `associate-/l*` `add-log-exp` `unswap-sqr`
4×	`cbrt-unprod` `insert-posit16` `div-inv`
3×	`rec-exp` `flip3--` `1-exp` `flip--`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+`
1×	`frac-times` `sub-neg` `diff-log` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 201

Calls

4 calls:

Slowest

70.0ms	(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
20.0ms	(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))
16.0ms	(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
16.0ms	(- (sqrt 4) (/ (sqrt 1.0) i))

series476.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

225.0ms	(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
105.0ms	(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
73.0ms	(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))
73.0ms	(- (sqrt 4) (/ (sqrt 1.0) i))

simplify924.0ms

Counts: 213 → 213

prune2.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ (cbrt 1/4) (- 4 (/ 1.0 (* i i))))
0.3b	(/ 1.0 (* i i))
0.1b	(* (* (cbrt 1/4) (cbrt 1/4)) (/ (cbrt 1/4) (- 4 (/ 1.0 (* i i)))))
0.0b	(- 4 (/ 1.0 (* i i)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

107×	`add-sqr-sqrt`
91×	`times-frac`
74×	`*-un-lft-identity`
46×	`add-cube-cbrt`
42×	`associate-r`
40×	`cbrt-prod`
28×	`difference-of-squares`
23×	`add-exp-log`
16×	`add-cbrt-cube`
14×	`distribute-lft-out--`
9×	`pow1` `associate-/l*`
7×	`associate-/r*` `prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r/` `insert-posit16`
3×	`flip3--` `pow-prod-down` `div-inv` `flip--` `unswap-sqr`
2×	`clear-num` `frac-2neg`
1×	`sub-neg` `diff-log` `associate-l` `associate-r/` `-commutative`

Counts

4 → 167

Calls

4 calls:

Slowest

76.0ms	(* (* (cbrt 1/4) (cbrt 1/4)) (/ (cbrt 1/4) (- 4 (/ 1.0 (* i i)))))
22.0ms	(/ (cbrt 1/4) (- 4 (/ 1.0 (* i i))))
13.0ms	(- 4 (/ 1.0 (* i i)))
6.0ms	(/ 1.0 (* i i))

series424.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

165.0ms	(* (* (cbrt 1/4) (cbrt 1/4)) (/ (cbrt 1/4) (- 4 (/ 1.0 (* i i)))))
130.0ms	(/ (cbrt 1/4) (- 4 (/ 1.0 (* i i))))
80.0ms	(- 4 (/ 1.0 (* i i)))
49.0ms	(/ 1.0 (* i i))

simplify945.0ms

Counts: 179 → 179

prune1.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

902.0ms	8000×	body	80	valid
620.0ms	8000×	pre	80	true