Details

sample61.0ms

Algorithm

intervals

Results

40.0ms	256×	body	80	valid
9.0ms	256×	pre	80	true

simplify2.1s

Counts: 1 → 1

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ 1.0 (* i i))
0.2b	(/ 1/4 (- 4 (/ 1.0 (* i i))))
0.0b	(- 4 (/ 1.0 (* i i)))

rewrite32.0ms

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

17.0ms	(/ 1/4 (- 4 (/ 1.0 (* i i))))
8.0ms	(- 4 (/ 1.0 (* i i)))
6.0ms	(/ 1.0 (* i i))

series183.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

76.0ms	(- 4 (/ 1.0 (* i i)))
68.0ms	(/ 1/4 (- 4 (/ 1.0 (* i i))))
38.0ms	(/ 1.0 (* i i))

simplify927.0ms

Counts: 89 → 89

prune634.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

304×	`add-sqr-sqrt`
191×	`times-frac`
98×	`*-un-lft-identity`
84×	`difference-of-squares`
70×	`sqrt-prod`
66×	`associate-r`
65×	`cbrt-prod`
64×	`add-cube-cbrt`
32×	`add-exp-log`
22×	`add-cbrt-cube`
14×	`associate-/r*` `distribute-lft-out--`
10×	`cbrt-undiv` `div-exp` `associate-l`
9×	`prod-exp` `cbrt-unprod`
8×	`associate-/r/`
7×	`associate-/l*`
6×	`pow1` `add-log-exp` `unswap-sqr`
4×	`insert-posit16` `div-inv`
3×	`flip3--` `flip--` `distribute-lft-out`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+`
1×	`frac-times` `sub-neg` `diff-log` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 244

Calls

4 calls:

Slowest

109.0ms	(* (/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i))))
36.0ms	(/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i)))
30.0ms	(/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i)))
8.0ms	(- (sqrt 4) (/ (sqrt 1.0) i))

series653.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

265.0ms	(* (/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i))))
170.0ms	(/ (* (cbrt 1/4) (cbrt 1/4)) (+ (sqrt 4) (/ (sqrt 1.0) i)))
152.0ms	(/ (cbrt 1/4) (- (sqrt 4) (/ (sqrt 1.0) i)))
66.0ms	(- (sqrt 4) (/ (sqrt 1.0) i))

simplify1.6s

Counts: 256 → 256

prune3.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* i i) (* i i))
0.1b	(* (* i i) (* i i))
0.1b	(* (* (* i i) (* i i)) (* i i))
0.0b	(+ (* (* i i) 0.25) (* 1.0 (* (* i i) (* i i))))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

891×	`pow1`
378×	`pow-prod-up`
190×	`pow-prod-down`
163×	`pow-plus`
159×	`pow-sqr`
102×	`pow2`
69×	`add-cbrt-cube` `add-exp-log`
47×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16`
3×	`associate-r` `associate-l` `*-commutative` `unswap-sqr`
2×	`swap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `pow3` `flip-+`

Counts

4 → 349

Calls

4 calls:

Slowest

113.0ms	(* (* (* i i) (* i i)) (* i i))
42.0ms	(* (* i i) (* i i))
24.0ms	(* (* i i) (* i i))
18.0ms	(+ (* (* i i) 0.25) (* 1.0 (* (* i i) (* i i))))

series349.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

185.0ms	(+ (* (* i i) 0.25) (* 1.0 (* (* i i) (* i i))))
65.0ms	(* (* (* i i) (* i i)) (* i i))
60.0ms	(* (* i i) (* i i))
38.0ms	(* (* i i) (* i i))

simplify1.6s

Counts: 361 → 361

prune3.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch2.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.3s	8000×	body	80	valid
231.0ms	8000×	pre	80	true