Details

sample39.0ms

Algorithm

intervals

Results

26.0ms

256×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
2	22
1	15
0	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
1.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.8b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite105.0ms

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:

10.0ms	(* 1.1283791670955126 (exp z))
46.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
26.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
22.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* 1.1283791670955126 (exp z))
55.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
83.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
110.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify578.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	2001
2	1049
1	347
0	145

prune364.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
1.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.8b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite88.0ms

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:

21.0ms	(* 1.1283791670955126 (exp z))
29.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
11.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
23.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series265.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* 1.1283791670955126 (exp z))
71.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
74.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
101.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify860.0ms

Counts

152 → 152

Iterations

Iter	Nodes
done	2000
2	1663
1	578
0	227

prune581.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
34×	`times-frac`
20×	`add-cube-cbrt`
15×	`difference-of-squares`
13×	`add-cbrt-cube` `add-exp-log`
10×	`associate-/r*`
7×	`pow1`
6×	`add-log-exp`
5×	`distribute-lft-out--`
4×	`div-exp` `insert-posit16` `associate-/l*`
3×	`cbrt-undiv` `associate-r` `associate-l` `associate-/r/`
2×	`clear-num` `frac-2neg` `flip3--` `prod-exp` `frac-sub` `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 → 110

Calls

4 calls:

10.0ms	(* 1.1283791670955126 (exp z))
12.0ms	(/ (* 1.1283791670955126 (exp z)) y)
15.0ms	(- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1))
30.0ms	(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* 1.1283791670955126 (exp z))
28.0ms	(/ (* 1.1283791670955126 (exp z)) y)
58.0ms	(- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1))
76.0ms	(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1)))

simplify636.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	2000
2	1192
1	436
0	196

prune495.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt 1.1283791670955126) (exp z))
0.5b	(* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z)))
1.6b	(- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y))
7.8b	(/ y (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y)))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
17×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`associate-l`
11×	`pow1` `add-exp-log`
9×	`times-frac`
7×	`sqrt-prod`
6×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `*-commutative` `flip--` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

4 → 88

Calls

4 calls:

12.0ms	(* (sqrt 1.1283791670955126) (exp z))
37.0ms	(* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z)))
42.0ms	(- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y))
54.0ms	(/ y (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y)))

series580.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (sqrt 1.1283791670955126) (exp z))
70.0ms	(* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z)))
152.0ms	(- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y))
309.0ms	(/ y (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y)))

simplify608.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	2000
2	1176
1	364
0	149

prune341.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes150.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample961.0ms

Algorithm

intervals

Results

760.0ms

8000×

body

valid