Details

sample75.0ms

Algorithm

intervals

Results

49.0ms	256×	body	80	valid
10.0ms	256×	pre	80	true

simplify4.9s

Counts

1 → 1

Iterations

Iter	Nodes
4	4030
3	698
2	152
1	33
0	10

prune11.0ms

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))))

rewrite25.0ms

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×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `associate-/r/` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`flip3--` `prod-exp` `cbrt-unprod` `flip--`

Counts

2 → 68

Calls

2 calls:

7.0ms	(/ 1.0 (* i i))
17.0ms	(/ 1/4 (- 4 (/ 1.0 (* i i))))

series93.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ 1.0 (* i i))
63.0ms	(/ 1/4 (- 4 (/ 1.0 (* i i))))

simplify957.0ms

Counts

74 → 74

Iterations

Iter	Nodes
3	2511
2	778
1	309
0	145

prune566.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize33.0ms

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))))

rewrite85.0ms

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×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`associate-l` `associate-r/` `-commutative`

Counts

3 → 157

Calls

3 calls:

10.0ms	(/ 1.0 (* i i))
53.0ms	(* (* (cbrt 1/4) (cbrt 1/4)) (/ (cbrt 1/4) (- 4 (/ 1.0 (* i i)))))
18.0ms	(/ (cbrt 1/4) (- 4 (/ 1.0 (* i i))))

series308.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ 1.0 (* i i))
161.0ms	(* (* (cbrt 1/4) (cbrt 1/4)) (/ (cbrt 1/4) (- 4 (/ 1.0 (* i i)))))
119.0ms	(/ (cbrt 1/4) (- 4 (/ 1.0 (* i i))))

simplify885.0ms

Counts

166 → 166

Iterations

Iter	Nodes
2	2487
1	707
0	251

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite197.0ms

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`
4×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `*-commutative` `unswap-sqr`
2×	`swap-sqr`
1×	`pow3` `fma-udef`

Counts

4 → 354

Calls

4 calls:

0.0ms	(fma (* i i) 0.25 (fma (* (* (* i i) (* i i)) (* i i)) 4.0 (* (* (* i i) (* i i)) 1.0)))
129.0ms	(* (* (* i i) (* i i)) (* i i))
26.0ms	(* (* i i) (* i i))
30.0ms	(* (* i i) (* i i))

series261.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(fma (* i i) 0.25 (fma (* (* (* i i) (* i i)) (* i i)) 4.0 (* (* (* i i) (* i i)) 1.0)))
64.0ms	(* (* (* i i) (* i i)) (* i i))
56.0ms	(* (* i i) (* i i))
47.0ms	(* (* i i) (* i i))

simplify4.1s

Counts

366 → 366

Iterations

Iter	Nodes
3	4704
2	911
1	303
0	139

prune769.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize44.0ms

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 (- 16 (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
24×	`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×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u` `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 → 119

Calls

4 calls:

9.0ms	(/ 1.0 (* i i))
7.0ms	(/ 1.0 (* i i))
9.0ms	(/ 1.0 (* i i))
51.0ms	(* (/ 1/4 (- 16 (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

series255.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ 1.0 (* i i))
34.0ms	(/ 1.0 (* i i))
28.0ms	(/ 1.0 (* i i))
137.0ms	(* (/ 1/4 (- 16 (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

simplify1.3s

Counts

131 → 131

Iterations

Iter	Nodes
2	2275
1	577
0	172

prune990.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes29.0ms

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

sample1.9s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
629.0ms	8000×	pre	80	true