Details

sample33.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
6.0ms	256×	pre	80	true

simplify2.6s

Counts: 1 → 1

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize20.0ms

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)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
35×	`times-frac`
30×	`add-cube-cbrt`
21×	`prod-diff`
10×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
7×	`associate-/r*`
6×	`associate-/l*`
5×	`div-inv` `distribute-lft-out--` `add-log-exp`
3×	`expm1-log1p-u` `pow1` `cbrt-undiv` `fma-neg` `div-exp` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `flip3--` `associate-/r/` `flip--`
1×	`sub-neg` `diff-log` `prod-exp` `cbrt-unprod`

Counts

3 → 110

Calls

3 calls:

Slowest

15.0ms	(/ 1/4 (- 4 (/ 1.0 (* i i))))
10.0ms	(- 4 (/ 1.0 (* i i)))
6.0ms	(/ 1.0 (* i i))

series185.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

82.0ms	(- 4 (/ 1.0 (* i i)))
58.0ms	(/ 1/4 (- 4 (/ 1.0 (* i i))))
45.0ms	(/ 1.0 (* i i))

simplify1.3s

Counts: 119 → 119

prune874.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize41.0ms

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))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

319×	`add-sqr-sqrt`
231×	`times-frac`
206×	`*-un-lft-identity`
174×	`add-cube-cbrt`
163×	`sqrt-prod`
132×	`prod-diff`
48×	`difference-of-squares`
36×	`associate-r`
32×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`associate-l`
14×	`associate-/r*`
11×	`div-exp`
10×	`div-inv`
8×	`prod-exp` `associate-/r/` `distribute-lft-out--`
7×	`pow1` `distribute-lft-out`
6×	`cbrt-undiv` `fma-neg` `associate-/l*` `add-log-exp` `unswap-sqr`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
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 → 347

Calls

4 calls:

Slowest

57.0ms	(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
28.0ms	(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))
15.0ms	(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
12.0ms	(- (sqrt 4) (/ (sqrt 1.0) i))

series429.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

190.0ms	(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
91.0ms	(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
85.0ms	(- (sqrt 4) (/ (sqrt 1.0) i))
64.0ms	(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

simplify635.0ms

Counts: 359 → 359

prune4.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize41.0ms

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)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

121×	`add-sqr-sqrt`
100×	`times-frac`
88×	`*-un-lft-identity`
60×	`add-cube-cbrt`
42×	`associate-r`
40×	`cbrt-prod`
28×	`difference-of-squares`
23×	`add-exp-log`
21×	`prod-diff`
16×	`add-cbrt-cube`
14×	`distribute-lft-out--`
9×	`pow1` `associate-/l*`
7×	`associate-/r*` `prod-exp` `cbrt-unprod`
6×	`div-inv` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `associate-/r/` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `fma-neg` `pow-prod-down` `flip--` `unswap-sqr`
2×	`clear-num` `frac-2neg`
1×	`sub-neg` `diff-log` `associate-l` `associate-r/` `-commutative`

Counts

4 → 199

Calls

4 calls:

Slowest

69.0ms	(* (* (cbrt 1/4) (cbrt 1/4)) (/ (cbrt 1/4) (- 4 (/ 1.0 (* i i)))))
32.0ms	(/ (cbrt 1/4) (- 4 (/ 1.0 (* i i))))
14.0ms	(/ 1.0 (* i i))
10.0ms	(- 4 (/ 1.0 (* i i)))

series358.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

123.0ms	(* (* (cbrt 1/4) (cbrt 1/4)) (/ (cbrt 1/4) (- 4 (/ 1.0 (* i i)))))
123.0ms	(/ (cbrt 1/4) (- 4 (/ 1.0 (* i i))))
59.0ms	(- 4 (/ 1.0 (* i i)))
53.0ms	(/ 1.0 (* i i))

simplify1.2s

Counts: 211 → 211

prune1.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end1.0ms

sample1.8s

Algorithm

intervals

Results

1.4s	8000×	body	80	valid
275.0ms	8000×	pre	80	true