Details

sample23.0ms

Algorithm

intervals

Results

13.0ms

465×

body

valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	11
1	16	9
2	31	8
3	37	8
done	37	8

prune5.0ms

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	(fma x (+ 2.0 x) (* y 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:

0.0ms

(fma x (+ 2.0 x) (* y y))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(fma x (+ 2.0 x) (* y y))

simplify697.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	22	146
1	40	143
2	81	121
3	281	121
4	1527	121
done	5000	121

prune32.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 2.0) (* x x))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

2.0ms	(+ (* x 2.0) (* x x))
13.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

series88.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ (* x 2.0) (* x x))
31.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

simplify1.2s

Counts

40 → 40

Iterations

Useful iterations: 3 (345.0ms)

Iter	Nodes	Cost
0	61	480
1	196	369
2	772	323
3	2977	317
done	5001	317

prune75.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma x (+ 2.0 x) (* y y)))
0.0b	(fma x (+ 2.0 x) (* y y))
0.0b	(fma x (+ 2.0 x) (* y y))
0.1b	(* (sqrt (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

3.0ms	(sqrt (fma x (+ 2.0 x) (* y y)))
0.0ms	(fma x (+ 2.0 x) (* y y))
0.0ms	(fma x (+ 2.0 x) (* y y))
7.0ms	(* (sqrt (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))))

series214.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(sqrt (fma x (+ 2.0 x) (* y y)))
34.0ms	(fma x (+ 2.0 x) (* y y))
32.0ms	(fma x (+ 2.0 x) (* y y))
33.0ms	(* (sqrt (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))))

simplify1.8s

Counts

98 → 98

Iterations

Useful iterations: 3 (356.0ms)

Iter	Nodes	Cost
0	77	1705
1	137	1165
2	400	1020
3	2439	993
done	5000	993

prune171.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (+ 2.0 x)) (* y y))
0.1b	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
1.6b	(- (* (* x (+ 2.0 x)) (* x (+ 2.0 x))) (pow y 4))
30.5b	(/ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x))) (pow y 4)) (- (* x (+ 2.0 x)) (* y y)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
27×	`add-sqr-sqrt`
18×	`add-exp-log` `times-frac` `add-cbrt-cube`
17×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down`
15×	`difference-of-squares`
14×	`associate-*r/`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`unpow-prod-down` `prod-diff` `prod-exp` `cbrt-unprod` `add-log-exp`
6×	`flip3-+` `associate--l+` `flip-+` `associate-/l*` `sqr-pow`
4×	`expm1-log1p-u` `frac-times` `flip3--` `pow-sqr` `pow-prod-up` `flip--` `log1p-expm1-u`
3×	`associate-/r*`
2×	`sub-neg` `pow-plus` `fma-neg` `diff-log` `associate-*l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

4 → 141

Calls

4 calls:

5.0ms	(- (* x (+ 2.0 x)) (* y y))
25.0ms	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
29.0ms	(- (* (* x (+ 2.0 x)) (* x (+ 2.0 x))) (pow y 4))
83.0ms	(/ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x))) (pow y 4)) (- (* x (+ 2.0 x)) (* y y)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* x (+ 2.0 x)) (* y y))
30.0ms	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
90.0ms	(- (* (* x (+ 2.0 x)) (* x (+ 2.0 x))) (pow y 4))
97.0ms	(/ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x))) (pow y 4)) (- (* x (+ 2.0 x)) (* y y)))

simplify1.0s

Counts

153 → 153

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	251	3597
1	679	3211
2	2926	2927
done	5000	2926

prune350.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes77.0ms

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	8	11
1	11	11
done	11	11

end0.0ms

sample576.0ms

Algorithm

intervals

Results

361.0ms

14336×

body

valid