Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

322×

body

valid

simplify85.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	16	7
2	43	7
3	77	7
4	135	7
5	173	7
done	173	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

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:

16.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify2.4s

Counts

35 → 35

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	81	431
1	273	405
2	1054	377
3	4975	377
done	5000	377

prune77.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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:

8.0ms	(+ (* (+ x y) z) (* 1.0 (+ x y)))
10.0ms	(* (+ x y) z)

series66.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (* (+ x y) z) (* 1.0 (+ x y)))
21.0ms	(* (+ x y) z)

simplify631.0ms

Counts

49 → 49

Iterations

Useful iterations: done (630.0ms)

Iter	Nodes	Cost
0	101	682
1	310	606
2	1220	515
done	5002	491

prune111.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

9.0ms	(* y (+ z 1.0))
1.0ms	(fma x z (* y (+ z 1.0)))

series65.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* y (+ z 1.0))
31.0ms	(fma x z (* y (+ z 1.0)))

simplify2.1s

Counts

41 → 41

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	61	350
1	147	330
2	409	294
3	1209	294
4	4307	294
done	5001	294

prune77.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

2.7b	(- (* y y) (* x y))
3.7b	(+ (pow x 3) (pow y 3))
6.6b	(* (+ (pow x 3) (pow y 3)) z)
38.6b	(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* x x) (- (* y y) (* x y))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
12×	`fma-def`
11×	`add-exp-log` `add-cube-cbrt` `unpow-prod-down` `cube-prod` `add-cbrt-cube`
10×	`distribute-lft-out`
9×	`associate-l`
8×	`add-log-exp`
6×	`pow1`
4×	`expm1-log1p-u` `flip3-+` `associate-*l/` `flip-+` `log1p-expm1-u`
3×	`times-frac` `associate-r` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `sum-cubes` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `cube-mult` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `div-inv` `associate-/l` `unswap-sqr` `sqr-pow`

Counts

4 → 103

Calls

4 calls:

3.0ms	(- (* y y) (* x y))
15.0ms	(+ (pow x 3) (pow y 3))
52.0ms	(* (+ (pow x 3) (pow y 3)) z)
28.0ms	(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* x x) (- (* y y) (* x y))))

series212.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (* y y) (* x y))
50.0ms	(+ (pow x 3) (pow y 3))
53.0ms	(* (+ (pow x 3) (pow y 3)) z)
76.0ms	(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* x x) (- (* y y) (* x y))))

simplify878.0ms

Counts

115 → 115

Iterations

Useful iterations: 2 (143.0ms)

Iter	Nodes	Cost
0	146	1611
1	381	1380
2	1613	1220
done	5000	1220

prune338.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes111.0ms

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

sample369.0ms

Algorithm

intervals

Results

179.0ms	10052×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid