Details

sample39.0ms

Algorithm

intervals

Results

13.0ms

326×

body

valid

simplify124.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	323
6	323
5	303
4	168
3	82
2	42
1	16
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ z 1.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`flip3-+` `flip-+`
5×	`add-sqr-sqrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
2×	`associate-l/` `associate-r/` `distribute-lft-out`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 30

Calls

1 calls:

32.0ms

(* (+ x y) (+ z 1.0))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* (+ x y) (+ z 1.0))

simplify1.3s

Counts

33 → 33

Iterations

Iter	Nodes
done	5001
2	1316
1	274
0	78

prune259.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (+ x y) z) (* (+ x y) 1.0))
0.0b	(* (+ x y) z)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-*l/`
6×	`add-sqr-sqrt` `*-un-lft-identity` `flip3-+` `flip-+`
4×	`pow1` `add-cbrt-cube` `associate-l` `frac-add` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`distribute-lft-out`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

12.0ms	(+ (* (+ x y) z) (* (+ x y) 1.0))
19.0ms	(* (+ x y) z)

series128.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(+ (* (+ x y) z) (* (+ x y) 1.0))
47.0ms	(* (+ x y) z)

simplify1.2s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
2	1287
1	287
0	94

prune254.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x y))
0.0b	(sqrt (+ x y))
0.0b	(* (sqrt (+ x y)) (+ z 1.0))
0.2b	(* (sqrt (+ x y)) (* (sqrt (+ x y)) (+ z 1.0)))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
35×	`flip3-+` `flip-+`
32×	`frac-times`
21×	`*-un-lft-identity`
17×	`add-sqr-sqrt` `sqrt-prod`
16×	`associate-*r/`
14×	`associate-l`
13×	`pow1`
11×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*l/`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `distribute-lft-out`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

10.0ms	(sqrt (+ x y))
6.0ms	(sqrt (+ x y))
37.0ms	(* (sqrt (+ x y)) (+ z 1.0))
78.0ms	(* (sqrt (+ x y)) (* (sqrt (+ x y)) (+ z 1.0)))

series279.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(sqrt (+ x y))
54.0ms	(sqrt (+ x y))
110.0ms	(* (sqrt (+ x y)) (+ z 1.0))
57.0ms	(* (sqrt (+ x y)) (* (sqrt (+ x y)) (+ z 1.0)))

simplify2.0s

Counts

130 → 130

Iterations

Iter	Nodes
done	5001
2	2901
1	587
0	189

prune655.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x y))
0.2b	(* (sqrt (+ x y)) (/ (* (sqrt (+ x y)) (- (* z z) (* 1.0 1.0))) (- z 1.0)))
0.5b	(* (sqrt (+ x y)) (- (* z z) (* 1.0 1.0)))
2.7b	(/ (* (sqrt (+ x y)) (- (* z z) (* 1.0 1.0))) (- z 1.0))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
20×	`add-cbrt-cube` `add-exp-log`
18×	`sqrt-div`
15×	`associate-r`
14×	`associate-l` `add-cube-cbrt` `sqrt-prod`
10×	`frac-times` `times-frac`
9×	`pow1` `flip3-+` `flip-+`
8×	`flip3--` `flip--` `associate-/l/`
6×	`associate-*l/` `prod-exp` `cbrt-unprod`
5×	`associate-/r` `associate-r/`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `add-log-exp` `difference-of-squares` `unswap-sqr`
3×	`distribute-lft-out` `distribute-lft-out--`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-prod-down` `*-commutative` `div-inv`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-/l*`

Counts

4 → 127

Calls

4 calls:

7.0ms	(sqrt (+ x y))
72.0ms	(* (sqrt (+ x y)) (/ (* (sqrt (+ x y)) (- (* z z) (* 1.0 1.0))) (- z 1.0)))
59.0ms	(* (sqrt (+ x y)) (- (* z z) (* 1.0 1.0)))
36.0ms	(/ (* (sqrt (+ x y)) (- (* z z) (* 1.0 1.0))) (- z 1.0))

series640.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sqrt (+ x y))
181.0ms	(* (sqrt (+ x y)) (/ (* (sqrt (+ x y)) (- (* z z) (* 1.0 1.0))) (- z 1.0)))
150.0ms	(* (sqrt (+ x y)) (- (* z z) (* 1.0 1.0)))
262.0ms	(/ (* (sqrt (+ x y)) (- (* z z) (* 1.0 1.0))) (- z 1.0))

simplify2.9s

Counts

139 → 139

Iterations

Iter	Nodes
done	5001
2	4226
1	686
0	233

prune650.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes329.0ms

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	10
1	10
0	7

end0.0ms

sample897.0ms

Algorithm

intervals

Results

374.0ms	10088×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid