Details

sample43.0ms

Algorithm

intervals

Results

29.0ms

256×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
2	22
1	15
0	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
9.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
4×	`insert-posit16`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

56.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
24.0ms	(* 1.1283791670955126 (exp z))
20.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
30.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
17.0ms	(* 1.1283791670955126 (exp z))
93.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
92.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.4s

Counts

87 → 87

Iterations

Iter	Nodes
done	5007
3	3183
2	1051
1	347
0	145

prune570.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
9.5b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`*-un-lft-identity` `add-cube-cbrt`
18×	`add-exp-log`
16×	`associate-/r*`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `insert-posit16`
3×	`associate-r` `associate-l`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 140

Calls

4 calls:

16.0ms	(* 1.1283791670955126 (exp z))
35.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
17.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
23.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series287.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* 1.1283791670955126 (exp z))
93.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
77.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
87.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify1.5s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
2	1663
1	578
0	227

prune805.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* 1.1283791670955126 (exp z)) y) x)
0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))
0.3b	(/ (* 1.1283791670955126 (exp z)) y)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
18×	`times-frac` `add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/r*`
7×	`pow1`
6×	`add-log-exp`
5×	`distribute-lft-out--` `difference-of-squares`
4×	`div-exp` `insert-posit16` `associate-/l*`
3×	`cbrt-undiv` `associate-r` `associate-l`
2×	`clear-num` `frac-2neg` `flip3--` `prod-exp` `associate-/r/` `cbrt-unprod` `div-inv` `flip--`
1×	`rec-exp` `sub-neg` `diff-log` `1-exp` `pow-prod-down` `*-commutative` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

19.0ms	(- (/ (* 1.1283791670955126 (exp z)) y) x)
9.0ms	(* 1.1283791670955126 (exp z))
34.0ms	(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))
12.0ms	(/ (* 1.1283791670955126 (exp z)) y)

series195.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (/ (* 1.1283791670955126 (exp z)) y) x)
18.0ms	(* 1.1283791670955126 (exp z))
84.0ms	(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))
29.0ms	(/ (* 1.1283791670955126 (exp z)) y)

simplify2.5s

Counts

110 → 110

Iterations

Iter	Nodes
done	5514
3	3587
2	998
1	377
0	171

prune522.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (exp z) 1.1283791670955126) (* (exp z) 1.1283791670955126))
0.1b	(/ 1 (- (/ (cbrt (* (* (exp z) 1.1283791670955126) (* (* (exp z) 1.1283791670955126) (* (exp z) 1.1283791670955126)))) y) x))
0.3b	(/ (cbrt (* (* (exp z) 1.1283791670955126) (* (* (exp z) 1.1283791670955126) (* (exp z) 1.1283791670955126)))) y)
0.5b	(* (* (exp z) 1.1283791670955126) (* (* (exp z) 1.1283791670955126) (* (exp z) 1.1283791670955126)))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

172×	`pow1`
77×	`pow-prod-down`
60×	`add-cbrt-cube`
46×	`add-exp-log`
44×	`add-sqr-sqrt`
39×	`prod-exp` `cbrt-unprod`
34×	`times-frac` `pow-prod-up`
32×	`*-un-lft-identity`
24×	`add-cube-cbrt`
12×	`pow-sqr`
9×	`associate-/r*`
8×	`difference-of-squares`
7×	`associate-/l*`
6×	`pow-plus`
4×	`cbrt-prod` `insert-posit16` `distribute-lft-out--` `add-log-exp`
3×	`pow2` `div-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `associate-r` `associate-l` `associate-/r/` `*-commutative` `div-inv`
1×	`rec-exp` `flip3--` `1-exp` `cube-unmult` `swap-sqr` `pow-flip` `flip--` `inv-pow`

Counts

4 → 177

Calls

4 calls:

61.0ms	(* (* (exp z) 1.1283791670955126) (* (exp z) 1.1283791670955126))
19.0ms	(/ 1 (- (/ (cbrt (* (* (exp z) 1.1283791670955126) (* (* (exp z) 1.1283791670955126) (* (exp z) 1.1283791670955126)))) y) x))
24.0ms	(/ (cbrt (* (* (exp z) 1.1283791670955126) (* (* (exp z) 1.1283791670955126) (* (exp z) 1.1283791670955126)))) y)
152.0ms	(* (* (exp z) 1.1283791670955126) (* (* (exp z) 1.1283791670955126) (* (exp z) 1.1283791670955126)))

series423.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (* (exp z) 1.1283791670955126) (* (exp z) 1.1283791670955126))
257.0ms	(/ 1 (- (/ (cbrt (* (* (exp z) 1.1283791670955126) (* (* (exp z) 1.1283791670955126) (* (exp z) 1.1283791670955126)))) y) x))
71.0ms	(/ (cbrt (* (* (exp z) 1.1283791670955126) (* (* (exp z) 1.1283791670955126) (* (exp z) 1.1283791670955126)))) y)
44.0ms	(* (* (exp z) 1.1283791670955126) (* (* (exp z) 1.1283791670955126) (* (exp z) 1.1283791670955126)))

simplify1.9s

Counts

189 → 189

Iterations

Iter	Nodes
done	5001
2	1754
1	566
0	245

prune746.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes227.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	19
1	19
0	14

end0.0ms

sample1.1s

Algorithm

intervals

Results

821.0ms

8000×

body

valid