Details

sample65.0ms

Algorithm

intervals

Results

15.0ms	216×	body	80	valid
10.0ms	31×	body	1280	valid
9.0ms	32×	body	640	valid
4.0ms	18×	body	320	valid
2.0ms	16×	body	160	valid
2.0ms	4×	body	2560	valid

simplify9.7s

Counts

1 → 1

Iterations

Useful iterations: 4 (278.0ms)

Iter	Nodes	Cost
0	9	15
1	23	13
2	77	8
3	200	7
4	607	5
5	1872	5
done	5000	5

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite28.0ms

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:

27.0ms

(* (- x z) y)

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* (- x z) y)

simplify4.9s

Counts

27 → 27

Iterations

Useful iterations: 3 (466.0ms)

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

prune63.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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))

rewrite94.0ms

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:

55.0ms	(* (cbrt (* (- x z) y)) (cbrt (* (- x z) y)))
8.0ms	(cbrt (* (- x z) y))
9.0ms	(cbrt (* (- x z) y))
16.0ms	(cbrt (* (- x z) y))

series859.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(* (cbrt (* (- x z) y)) (cbrt (* (- x z) y)))
209.0ms	(cbrt (* (- x z) y))
196.0ms	(cbrt (* (- x z) y))
191.0ms	(cbrt (* (- x z) y))

simplify2.4s

Counts

92 → 92

Iterations

Useful iterations: done (2.4s)

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

prune402.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* y y))
0.0b	(- (+ (- (* x y) (* y y)) (* y y)) (* y z))
9.3b	(+ (- (* x y) (* y y)) (* y y))

rewrite294.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

9.0ms	(- (* x y) (* y y))
248.0ms	(- (+ (- (* x y) (* y y)) (* y y)) (* y z))
34.0ms	(+ (- (* x y) (* y y)) (* y y))

series150.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- (* x y) (* y y))
60.0ms	(- (+ (- (* x y) (* y y)) (* y y)) (* y z))
20.0ms	(+ (- (* x y) (* y y)) (* y y))

simplify5.0s

Counts

76 → 76

Iterations

Useful iterations: 3 (2.4s)

Iter	Nodes	Cost
0	98	1069
1	274	666
2	894	497
3	4845	463
done	5000	463

prune226.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `sub-neg` `flip3--` `distribute-rgt-out--` `*-un-lft-identity` `fma-neg` `diff-log` `prod-diff` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 17

Calls

1 calls:

9.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify3.2s

Counts

20 → 20

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	36	211
1	103	163
2	336	152
3	1196	151
4	3270	144
done	5001	143

prune42.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes44.0ms

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	5	5
1	6	5
done	6	5

end0.0ms

sample2.1s

Algorithm

intervals

Results

567.0ms	7018×	body	80	valid
458.0ms	214×	body	2560	valid
261.0ms	875×	body	640	valid
224.0ms	915×	body	1280	valid
110.0ms	538×	body	320	valid
51.0ms	553×	body	160	valid