Details

sample37.0ms

Algorithm

intervals

Results

14.0ms

324×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	26	7
3	62	7
4	161	7
5	435	7
6	1002	7
7	1471	7
8	1853	7
9	4329	7
done	5000	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) (- 1.0 z))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`sub-neg` `associate-r/` `associate-l/`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 53

Calls

1 calls:

71.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify2.0s

Counts

56 → 56

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	134	1028
1	426	851
2	2366	727
done	5000	703

prune157.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

26.0ms	(+ (* (+ x y) 1.0) (* (+ x y) (- z)))
35.0ms	(* (+ x y) (- z))

series136.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(+ (* (+ x y) 1.0) (* (+ x y) (- z)))
64.0ms	(* (+ x y) (- z))

simplify1.6s

Counts

58 → 58

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	114	775
1	361	633
2	1719	586
done	5000	582

prune185.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.5b	(- (* y y) (* x y))
1.7b	(* (+ (pow x 3) (pow y 3)) (- 1.0 z))
3.9b	(+ (pow x 3) (pow y 3))
40.1b	(/ (* (+ (pow x 3) (pow y 3)) (- 1.0 z)) (+ (* x x) (- (* y y) (* x y))))

rewrite304.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 139

Calls

4 calls:

12.0ms	(- (* y y) (* x y))
122.0ms	(* (+ (pow x 3) (pow y 3)) (- 1.0 z))
30.0ms	(+ (pow x 3) (pow y 3))
132.0ms	(/ (* (+ (pow x 3) (pow y 3)) (- 1.0 z)) (+ (* x x) (- (* y y) (* x y))))

series340.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* y y) (* x y))
101.0ms	(* (+ (pow x 3) (pow y 3)) (- 1.0 z))
95.0ms	(+ (pow x 3) (pow y 3))
99.0ms	(/ (* (+ (pow x 3) (pow y 3)) (- 1.0 z)) (+ (* x x) (- (* y y) (* x y))))

simplify569.0ms

Counts

151 → 151

Iterations

Useful iterations: done (563.0ms)

Iter	Nodes	Cost
0	239	2963
1	757	2491
done	5000	2205

prune594.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes170.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	9	7
done	9	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

712.0ms	9990×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid