Details

sample28.0ms

Algorithm

intervals

Results

7.0ms	226×	body	80	valid
4.0ms	29×	body	1280	valid
3.0ms	28×	body	640	valid
2.0ms	21×	body	320	valid
1.0ms	5×	body	2560	valid
0.0ms	7×	body	160	valid

simplify6.9s

Counts

1 → 1

Iterations

Useful iterations: 5 (510.0ms)

Iter	Nodes	Cost
0	9	15
1	23	13
2	75	11
3	202	9
4	437	7
5	769	5
6	1664	5
done	5001	5

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
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 → 46

Calls

1 calls:

26.0ms

(* y (- x z))

series39.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* y (- x z))

simplify1.1s

Counts

49 → 49

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	102	721
1	192	548
2	415	438
3	1735	396
done	5001	342

prune59.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `fma-def` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

8.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify1.8s

Counts

20 → 20

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	34	206
1	115	146
2	452	133
3	1843	129
done	5000	127

prune37.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

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:

0.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify1.2s

Counts

13 → 13

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	19	120
1	29	90
2	71	80
3	305	80
4	1435	80
done	5001	80

prune27.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

2.8b	(- (* x x) (* z z))
8.8b	(* y (- (* x x) (* z z)))
19.8b	(/ (* y (- (* x x) (* z z))) (+ x z))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

8.0ms	(- (* x x) (* z z))
29.0ms	(* y (- (* x x) (* z z)))
28.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

series179.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- (* x x) (* z z))
69.0ms	(* y (- (* x x) (* z z)))
77.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

simplify719.0ms

Counts

84 → 84

Iterations

Useful iterations: done (717.0ms)

Iter	Nodes	Cost
0	122	1145
1	314	1096
2	1157	927
done	5000	831

prune165.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	13	7
3	14	7
done	14	7

end0.0ms

sample814.0ms

Algorithm

intervals

Results

194.0ms	6959×	body	80	valid
131.0ms	986×	body	1280	valid
97.0ms	976×	body	640	valid
45.0ms	601×	body	320	valid
36.0ms	219×	body	2560	valid
18.0ms	358×	body	160	valid