Details

sample116.0ms

Algorithm

intervals

Results

9.0ms

339×

body

valid

simplify49.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	17	7
3	29	7
4	40	7
5	42	7
done	42	7

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) y)
0.2b	(* 0.5 (- (* x x) y))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

10.0ms	(- (* x x) y)
64.0ms	(* 0.5 (- (* x x) y))

series97.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- (* x x) y)
58.0ms	(* 0.5 (- (* x x) y))

simplify1.8s

Counts

58 → 58

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	97	658
1	201	560
2	477	481
3	1912	472
done	5000	454

prune137.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 0.5 (fma x x (- y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`fma-udef`
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 → 22

Calls

1 calls:

14.0ms

(* 0.5 (fma x x (- y)))

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(* 0.5 (fma x x (- y)))

simplify3.3s

Counts

25 → 25

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	45	247
1	89	238
2	204	210
3	673	210
4	3339	210
done	5001	210

prune86.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sqrt y))
0.1b	(* (* 0.5 (+ x (sqrt y))) (- x (sqrt y)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
32×	`add-sqr-sqrt` `*-un-lft-identity`
28×	`add-cube-cbrt`
20×	`distribute-rgt-in` `distribute-lft-in`
19×	`sqrt-prod`
8×	`associate-*r/`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-r`
4×	`frac-times` `flip3-+` `flip-+` `add-log-exp`
3×	`flip3--` `fma-def` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
2×	`expm1-log1p-u` `sub-neg` `associate-*l/` `log1p-expm1-u` `difference-of-squares`
1×	`+-commutative` `associate-l` `sum-log` `*-commutative` `distribute-lft-out` `distribute-lft-out--`

Counts

2 → 88

Calls

2 calls:

12.0ms	(+ x (sqrt y))
109.0ms	(* (* 0.5 (+ x (sqrt y))) (- x (sqrt y)))

series145.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ x (sqrt y))
109.0ms	(* (* 0.5 (+ x (sqrt y))) (- x (sqrt y)))

simplify1.8s

Counts

94 → 94

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	188	2363
1	518	1820
2	2183	1440
done	5002	1299

prune220.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample912.0ms

Algorithm

intervals

Results

476.0ms

10606×

body

valid