Details

sample32.0ms

Algorithm

intervals

Results

12.0ms

319×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	3848
6	1000
5	476
4	254
3	110
2	46
1	22
0	12

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.25 (/ (- z x) y))
0.0b	(+ (* (- 0.25 (/ (- z x) y)) 4.0) 1.0)
0.0b	(/ (- z x) y)

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
16×	`times-frac`
13×	`add-cube-cbrt`
7×	`add-log-exp`
6×	`difference-of-squares`
5×	`add-cbrt-cube` `add-exp-log` `associate-/l*` `distribute-lft-out--`
3×	`pow1` `associate-/r*`
2×	`flip3--` `div-sub` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `flip-+` `div-inv` `associate--r-`

Counts

3 → 65

Calls

3 calls:

21.0ms	(- 0.25 (/ (- z x) y))
39.0ms	(+ (* (- 0.25 (/ (- z x) y)) 4.0) 1.0)
32.0ms	(/ (- z x) y)

series134.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- 0.25 (/ (- z x) y))
39.0ms	(+ (* (- 0.25 (/ (- z x) y)) 4.0) 1.0)
63.0ms	(/ (- z x) y)

simplify1.0s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	1034
1	322
0	132

prune314.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 2.0 (* 4.0 (- (/ x y) (/ z y))))
0.0b	(* 4.0 (- (/ x y) (/ z y)))
0.0b	(- (/ x y) (/ z y))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
20×	`times-frac`
12×	`associate-r`
9×	`add-cube-cbrt`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`add-log-exp`
5×	`pow1` `sub-neg` `add-cbrt-cube` `add-exp-log`
4×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-*r/` `div-inv`
3×	`associate-l`
2×	`flip3--` `distribute-rgt-out--` `frac-sub` `flip--` `sub-div`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 73

Calls

3 calls:

9.0ms	(+ 2.0 (* 4.0 (- (/ x y) (/ z y))))
72.0ms	(* 4.0 (- (/ x y) (/ z y)))
22.0ms	(- (/ x y) (/ z y))

series130.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ 2.0 (* 4.0 (- (/ x y) (/ z y))))
62.0ms	(* 4.0 (- (/ x y) (/ z y)))
35.0ms	(- (/ x y) (/ z y))

simplify936.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	1054
1	328
0	125

prune434.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* (* (- (/ x y) (/ z y)) 4.0) (* (- (/ x y) (/ z y)) 4.0)) (* 2.0 (- (* (- (/ x y) (/ z y)) 4.0) 2.0)))
0.3b	(* (* (- (/ x y) (/ z y)) 4.0) (* (- (/ x y) (/ z y)) 4.0))
0.3b	(* (* (- (/ x y) (/ z y)) 4.0) (* (- (/ x y) (/ z y)) 4.0))
19.2b	(/ (+ (* (* (- (/ x y) (/ z y)) 4.0) (* (* (- (/ x y) (/ z y)) 4.0) (* (- (/ x y) (/ z y)) 4.0))) (* 2.0 (* 2.0 2.0))) (- (* (* (- (/ x y) (/ z y)) 4.0) (* (- (/ x y) (/ z y)) 4.0)) (* 2.0 (- (* (- (/ x y) (/ z y)) 4.0) 2.0))))

rewrite3.5s

Algorithm

rewrite-expression-head

Rules

264×	`associate-*l/`
156×	`frac-sub`
120×	`associate-*r/`
110×	`flip3--` `flip--`
96×	`frac-times`
82×	`pow1`
60×	`sub-div`
50×	`associate-/r/`
34×	`pow-prod-down`
30×	`add-cbrt-cube` `add-exp-log`
16×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
8×	`cube-unmult` `pow-sqr` `pow-prod-up`
6×	`add-log-exp`
4×	`pow-plus` `sum-cubes` `associate-/l*` `associate--r+`
3×	`associate-/r*` `sub-neg`
2×	`pow2` `distribute-rgt-in` `distribute-lft-in` `swap-sqr` `associate-r` `associate-l` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `diff-log` `div-exp` `flip-+` `div-inv`

Counts

4 → 263

Calls

4 calls:

407.0ms	(- (* (* (- (/ x y) (/ z y)) 4.0) (* (- (/ x y) (/ z y)) 4.0)) (* 2.0 (- (* (- (/ x y) (/ z y)) 4.0) 2.0)))
241.0ms	(* (* (- (/ x y) (/ z y)) 4.0) (* (- (/ x y) (/ z y)) 4.0))
217.0ms	(* (* (- (/ x y) (/ z y)) 4.0) (* (- (/ x y) (/ z y)) 4.0))
2.6s	(/ (+ (* (* (- (/ x y) (/ z y)) 4.0) (* (* (- (/ x y) (/ z y)) 4.0) (* (- (/ x y) (/ z y)) 4.0))) (* 2.0 (* 2.0 2.0))) (- (* (* (- (/ x y) (/ z y)) 4.0) (* (- (/ x y) (/ z y)) 4.0)) (* 2.0 (- (* (- (/ x y) (/ z y)) 4.0) 2.0))))

series678.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(- (* (* (- (/ x y) (/ z y)) 4.0) (* (- (/ x y) (/ z y)) 4.0)) (* 2.0 (- (* (- (/ x y) (/ z y)) 4.0) 2.0)))
66.0ms	(* (* (- (/ x y) (/ z y)) 4.0) (* (- (/ x y) (/ z y)) 4.0))
63.0ms	(* (* (- (/ x y) (/ z y)) 4.0) (* (- (/ x y) (/ z y)) 4.0))
294.0ms	(/ (+ (* (* (- (/ x y) (/ z y)) 4.0) (* (* (- (/ x y) (/ z y)) 4.0) (* (- (/ x y) (/ z y)) 4.0))) (* 2.0 (* 2.0 2.0))) (- (* (* (- (/ x y) (/ z y)) 4.0) (* (- (/ x y) (/ z y)) 4.0)) (* 2.0 (- (* (- (/ x y) (/ z y)) 4.0) 2.0))))

simplify2.4s

Counts

275 → 275

Iterations

Iter	Nodes
done	5002
1	1832
0	443

prune2.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (+ z x))
0.0b	(+ (* (- 0.25 (/ (- (* z z) (* x x)) (* y (+ z x)))) 4.0) 1.0)
2.8b	(- (* z z) (* x x))
28.6b	(/ (- (* z z) (* x x)) (* y (+ z x)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`times-frac` `associate-r` `associate-r/` `associate-/l`
3×	`flip3-+` `associate-l` `flip-+` `difference-of-squares`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip--` `associate-/l/`
1×	`distribute-rgt-in` `+-commutative` `clear-num` `associate-/r` `sum-log` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

16.0ms	(* y (+ z x))
37.0ms	(+ (* (- 0.25 (/ (- (* z z) (* x x)) (* y (+ z x)))) 4.0) 1.0)
14.0ms	(- (* z z) (* x x))
41.0ms	(/ (- (* z z) (* x x)) (* y (+ z x)))

series638.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* y (+ z x))
87.0ms	(+ (* (- 0.25 (/ (- (* z z) (* x x)) (* y (+ z x)))) 4.0) 1.0)
411.0ms	(- (* z z) (* x x))
104.0ms	(/ (- (* z z) (* x x)) (* y (+ z x)))

simplify1.7s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	2629
1	459
0	140

prune420.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes162.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.3s

Algorithm

intervals

Results

766.0ms

10020×

body

valid