Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	15	12
2	22	12
done	22	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.6b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite134.0ms

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`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

51.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
24.0ms	(* 1.1283791670955126 (exp z))
21.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
36.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series287.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
18.0ms	(* 1.1283791670955126 (exp z))
76.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
138.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify4.5s

Counts

83 → 83

Iterations

Useful iterations: 4 (2.8s)

Iter	Nodes	Cost
0	141	1154
1	330	1094
2	833	1022
3	1943	1016
4	4916	1003
done	5001	1003

prune330.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.1283791670955126 (/ (exp z) y)) x)
0.0b	(/ (exp z) y)
0.1b	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
0.2b	(* 1.1283791670955126 (/ (exp z) y))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

30.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
7.0ms	(/ (exp z) y)
28.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
17.0ms	(* 1.1283791670955126 (/ (exp z) y))

series203.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
20.0ms	(/ (exp z) y)
82.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
38.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify3.4s

Counts

116 → 116

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	176	1358
1	381	1265
2	900	1169
3	2297	1158
done	5000	1156

prune336.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.3b	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.4b	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
18×	`add-exp-log` `associate-r`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`prod-exp`
4×	`div-exp` `associate-/r/` `unswap-sqr`
3×	`flip3--` `associate-/r` `flip--` `cbrt-unprod` `associate-/l`
2×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-*r/` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 101

Calls

4 calls:

11.0ms	(* 1.1283791670955126 (exp z))
25.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
12.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
56.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

series252.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* 1.1283791670955126 (exp z))
87.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
60.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
82.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify2.4s

Counts

113 → 113

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	167	1578
1	396	1418
2	911	1276
3	2288	1264
done	5001	1262

prune331.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes158.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	15	12
done	15	12

end0.0ms

sample823.0ms

Algorithm

intervals

Results

521.0ms

8000×

body

valid