Details

sample81.0ms

Algorithm

intervals

Results

26.0ms	38×	body	640	valid
15.0ms	216×	body	80	valid
10.0ms	31×	body	1280	valid
4.0ms	18×	body	320	valid
2.0ms	4×	body	2560	valid
1.0ms	10×	body	160	valid

simplify10.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	9	15
1	21	15
2	72	7
3	197	5
4	585	5
5	1924	5
done	5001	5

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-l*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

22.0ms

(* (- x z) y)

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* (- x z) y)

simplify4.6s

Counts

27 → 27

Iterations

Useful iterations: 3 (453.0ms)

Iter	Nodes	Cost
0	51	197
1	109	190
2	349	174
3	1285	170
4	4544	170
done	5000	170

prune67.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- x z) y)) (cbrt (* (- x z) y)))
4.2b	(cbrt (* (- x z) y))
4.2b	(cbrt (* (- x z) y))
4.2b	(cbrt (* (- x z) y))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

36.0ms	(* (cbrt (* (- x z) y)) (cbrt (* (- x z) y)))
17.0ms	(cbrt (* (- x z) y))
22.0ms	(cbrt (* (- x z) y))
13.0ms	(cbrt (* (- x z) y))

series938.0ms

Counts

4 → 12

Calls

4 calls:

292.0ms	(* (cbrt (* (- x z) y)) (cbrt (* (- x z) y)))
246.0ms	(cbrt (* (- x z) y))
207.0ms	(cbrt (* (- x z) y))
192.0ms	(cbrt (* (- x z) y))

simplify2.3s

Counts

92 → 92

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	150	1392
1	349	1278
2	925	1181
3	2526	1072
done	5000	1000

prune378.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* x y) (* y z)) (* y y))
0.0b	(- (* x y) (* y z))
9.1b	(+ (- (- (* x y) (* y z)) (* y y)) (* y y))

rewrite325.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
9×	`add-sqr-sqrt` `prod-diff`
8×	`associate-+l+`
7×	`add-cube-cbrt` `*-un-lft-identity` `diff-log`
6×	`associate--l+`
5×	`sub-neg`
4×	`fma-def` `fma-neg`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `sum-log` `add-cbrt-cube` `log1p-expm1-u`
2×	`flip3--` `flip--` `difference-of-squares`
1×	`+-commutative` `associate--l-` `associate-+l-` `flip3-+` `flip-+`

Counts

3 → 70

Calls

3 calls:

93.0ms	(- (- (* x y) (* y z)) (* y y))
16.0ms	(- (* x y) (* y z))
212.0ms	(+ (- (- (* x y) (* y z)) (* y y)) (* y y))

series169.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- (- (* x y) (* y z)) (* y y))
62.0ms	(- (* x y) (* y z))
68.0ms	(+ (- (- (* x y) (* y z)) (* y y)) (* y y))

simplify4.6s

Counts

79 → 79

Iterations

Useful iterations: 3 (2.4s)

Iter	Nodes	Cost
0	100	1129
1	277	751
2	884	619
3	4820	579
done	5000	579

prune222.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x y (- (* z y)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma x y (- (* z y)))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(fma x y (- (* z y)))

simplify1.6s

Counts

13 → 13

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	17	120
1	27	90
2	69	80
3	304	80
4	1423	80
done	5000	80

prune35.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	16	11
2	18	11
done	18	11

end0.0ms

sample2.2s

Algorithm

intervals

Results

739.0ms	940×	body	1280	valid
460.0ms	7018×	body	80	valid
256.0ms	967×	body	640	valid
95.0ms	215×	body	2560	valid
90.0ms	622×	body	320	valid
62.0ms	351×	body	160	valid