Details

sample18.0ms

Algorithm

intervals

Results

6.0ms

312×

body

valid

simplify119.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	16	7
2	44	7
3	98	7
4	158	7
5	202	7
done	202	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

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-exp-log` `add-cube-cbrt` `add-cbrt-cube`
2×	`associate-r/` `associate-l/` `distribute-lft-out`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 32

Calls

1 calls:

35.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify944.0ms

Counts

35 → 35

Iterations

Useful iterations: 2 (133.0ms)

Iter	Nodes	Cost
0	81	431
1	277	405
2	1149	377
done	5000	377

prune74.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `-un-lft-identity` `flip3-+` `associate-l/` `flip-+`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r/` `associate-l*` `frac-add` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-+r+` `log1p-expm1-u`
1×	`+-commutative` `distribute-rgt-in` `fma-def` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

16.0ms	(+ (* (+ x y) z) (* 1.0 (+ x y)))
20.0ms	(* (+ x y) z)

series71.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (* (+ x y) z) (* 1.0 (+ x y)))
24.0ms	(* (+ x y) z)

simplify911.0ms

Counts

49 → 49

Iterations

Useful iterations: done (909.0ms)

Iter	Nodes	Cost
0	101	682
1	313	606
2	1311	515
done	5001	491

prune107.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

1.7b	(* (+ x y) (- (* z z) (* 1.0 1.0)))
7.9b	(/ (* (+ x y) (- (* z z) (* 1.0 1.0))) (- z 1.0))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/l/`
7×	`flip3--` `flip--`
6×	`add-cube-cbrt` `flip3-+` `flip-+`
5×	`times-frac` `associate-/r*`
4×	`pow1` `associate-r/` `associate-r` `associate-l` `associate-l/`
3×	`distribute-rgt-in` `distribute-lft-in` `difference-of-squares`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-diff` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

2 → 73

Calls

2 calls:

42.0ms	(* (+ x y) (- (* z z) (* 1.0 1.0)))
37.0ms	(/ (* (+ x y) (- (* z z) (* 1.0 1.0))) (- z 1.0))

series175.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(* (+ x y) (- (* z z) (* 1.0 1.0)))
103.0ms	(/ (* (+ x y) (- (* z z) (* 1.0 1.0))) (- z 1.0))

simplify1.5s

Counts

79 → 79

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	156	1490
1	478	1390
2	2239	1198
done	5000	1101

prune182.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ z 1.0))
0.0b	(sqrt (+ z 1.0))
0.0b	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))
0.1b	(* (+ x y) (sqrt (+ z 1.0)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
35×	`flip3-+` `flip-+`
32×	`frac-times`
21×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`sqrt-prod`
16×	`associate-*l/`
14×	`associate-r`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
5×	`associate-l` `distribute-lft-out`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `hypot-def` `unswap-sqr`

Counts

4 → 122

Calls

4 calls:

7.0ms	(sqrt (+ z 1.0))
7.0ms	(sqrt (+ z 1.0))
65.0ms	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))
38.0ms	(* (+ x y) (sqrt (+ z 1.0)))

series173.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sqrt (+ z 1.0))
31.0ms	(sqrt (+ z 1.0))
33.0ms	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))
75.0ms	(* (+ x y) (sqrt (+ z 1.0)))

simplify848.0ms

Counts

134 → 134

Iterations

Useful iterations: done (844.0ms)

Iter	Nodes	Cost
0	187	2226
1	499	1862
2	1482	1687
done	5000	1679

prune323.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes77.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	12	11
done	12	11

end0.0ms

sample466.0ms

Algorithm

intervals

Results

188.0ms	10128×	body	80	valid
0.0ms	1×	body	1280	valid