Details

sample38.0ms

Algorithm

intervals

Results

21.0ms	256×	body	80	valid
6.0ms	256×	pre	80	true

simplify897.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2054
4	2054
3	709
2	152
1	33
0	10

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* i i) 4)
16.5b	(/ (* (* i i) 1/4) (- (* (* i i) 4) 1.0))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube` `add-exp-log`
7×	`pow1`
6×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
5×	`*-un-lft-identity` `add-cube-cbrt`
3×	`cbrt-undiv` `associate-/r` `times-frac` `div-exp` `associate-r*` `pow-prod-down`
2×	`expm1-log1p-u` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `flip3--` `associate-l` `-commutative` `div-inv` `flip--` `associate-/l` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

19.0ms	(* (* i i) 4)
48.0ms	(/ (* (* i i) 1/4) (- (* (* i i) 4) 1.0))

series149.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* (* i i) 4)
104.0ms	(/ (* (* i i) 1/4) (- (* (* i i) 4) 1.0))

simplify1.2s

Counts

56 → 56

Iterations

Iter	Nodes
done	2010
3	2010
2	1278
1	323
0	119

prune423.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* i i) 4)
0.4b	(/ 1 (* (/ (- (* (* i i) 4) 1.0) (* i i)) 4))
16.6b	(/ (- (* (* i i) 4) 1.0) (* i i))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log`
27×	`add-cbrt-cube`
16×	`div-exp` `prod-exp`
11×	`pow1`
9×	`add-sqr-sqrt`
8×	`cbrt-undiv` `*-un-lft-identity` `add-cube-cbrt` `cbrt-unprod`
6×	`times-frac` `associate-/l*`
4×	`rec-exp` `1-exp` `pow-prod-down`
3×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `associate-/r*` `frac-2neg` `div-inv` `pow-flip` `associate-/l/`
1×	`flip3--` `div-sub` `associate-l` `associate-l/` `associate-/r/` `-commutative` `flip--` `inv-pow` `unswap-sqr`

Counts

3 → 89

Calls

3 calls:

14.0ms	(* (* i i) 4)
50.0ms	(/ 1 (* (/ (- (* (* i i) 4) 1.0) (* i i)) 4))
80.0ms	(/ (- (* (* i i) 4) 1.0) (* i i))

series319.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* (* i i) 4)
130.0ms	(/ 1 (* (/ (- (* (* i i) 4) 1.0) (* i i)) 4))
150.0ms	(/ (- (* (* i i) 4) 1.0) (* i i))

simplify1.4s

Counts

98 → 98

Iterations

Iter	Nodes
done	2003
3	2003
2	1599
1	418
0	162

prune651.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1.0 (* i i))
0.4b	(/ 1 (* (- 4 (/ 1.0 (* i i))) 4))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
12×	`add-cbrt-cube`
6×	`add-sqr-sqrt` `-un-lft-identity` `times-frac` `div-exp` `add-cube-cbrt` `associate-/l`
5×	`pow1`
4×	`cbrt-undiv` `prod-exp`
2×	`expm1-log1p-u` `rec-exp` `clear-num` `associate-/r` `frac-2neg` `1-exp` `associate-l/` `associate-/r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `pow-flip` `add-log-exp`
1×	`flip3--` `pow-prod-down` `flip--` `inv-pow`

Counts

2 → 57

Calls

2 calls:

11.0ms	(/ 1.0 (* i i))
44.0ms	(/ 1 (* (- 4 (/ 1.0 (* i i))) 4))

series100.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ 1.0 (* i i))
65.0ms	(/ 1 (* (- 4 (/ 1.0 (* i i))) 4))

simplify921.0ms

Counts

63 → 63

Iterations

Iter	Nodes
done	2010
3	2010
2	830
1	305
0	126

prune394.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1.0 (* i i))
0.3b	(/ 1.0 (* i i))
0.4b	(/ 1 (- 16 (* (/ 1.0 (* i i)) (/ 1.0 (* i i)))))
20.0b	(* (/ (/ 1 (- 16 (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) 4) (+ 4 (/ 1.0 (* i i))))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

113×	`times-frac`
86×	`add-sqr-sqrt`
64×	`*-un-lft-identity`
61×	`add-cube-cbrt`
58×	`associate-l`
33×	`add-exp-log`
25×	`add-cbrt-cube`
13×	`difference-of-squares`
12×	`div-exp`
9×	`associate-/l*`
8×	`cbrt-undiv` `associate-/r/`
7×	`pow1` `prod-exp` `div-inv`
6×	`associate-/r*`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `flip3--` `associate-r` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr`
3×	`clear-num` `frac-2neg`
2×	`frac-times` `rec-exp` `flip3-+` `1-exp` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `distribute-lft-out` `inv-pow`

Counts

4 → 181

Calls

4 calls:

6.0ms	(/ 1.0 (* i i))
6.0ms	(/ 1.0 (* i i))
7.0ms	(/ 1 (- 16 (* (/ 1.0 (* i i)) (/ 1.0 (* i i)))))
82.0ms	(* (/ (/ 1 (- 16 (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) 4) (+ 4 (/ 1.0 (* i i))))

series326.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ 1.0 (* i i))
31.0ms	(/ 1.0 (* i i))
155.0ms	(/ 1 (- 16 (* (/ 1.0 (* i i)) (/ 1.0 (* i i)))))
89.0ms	(* (/ (/ 1 (- 16 (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) 4) (+ 4 (/ 1.0 (* i i))))

simplify1.3s

Counts

193 → 193

Iterations

Iter	Nodes
done	2008
2	2008
1	1169
0	321

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

840.0ms	8000×	body	80	valid
261.0ms	8000×	pre	80	true