Details

sample88.0ms

Algorithm

intervals

Results

54.0ms

653×

body

valid

simplify4.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	12	17
1	26	16
2	50	15
3	87	15
4	154	15
5	473	15
6	3709	15
done	5000	15

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.0b	(* 4.0 (* b b))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
7×	`fma-def`
6×	`unpow-prod-down`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `associate-r` `pow-exp` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

97.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
28.0ms	(* 4.0 (* b b))
11.0ms	(pow (+ (* a a) (* b b)) 2.0)

series328.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
54.0ms	(* 4.0 (* b b))
174.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify1.4s

Counts

69 → 69

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	107	829
1	302	713
2	1447	649
done	5001	645

prune224.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 1 expressions with local error:

0.2b	(fma (* b b) (fma (* a a) 2 (* b b)) (pow a 4))

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 (* b b) (fma (* a a) 2 (* b b)) (pow a 4))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(fma (* b b) (fma (* a a) 2 (* b b)) (pow a 4))

simplify2.6s

Counts

13 → 13

Iterations

Useful iterations: 3 (742.0ms)

Iter	Nodes	Cost
0	28	255
1	58	255
2	272	222
3	1688	219
done	5004	219

prune80.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 1 expressions with local error:

0.2b	(fma (* a a) (fma 2 (* b b) (* a a)) (pow b 4))

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:

1.0ms

(fma (* a a) (fma 2 (* b b) (* a a)) (pow b 4))

series104.0ms

Counts

1 → 3

Calls

1 calls:

104.0ms

(fma (* a a) (fma 2 (* b b) (* a a)) (pow b 4))

simplify2.0s

Counts

13 → 13

Iterations

Useful iterations: 3 (434.0ms)

Iter	Nodes	Cost
0	28	255
1	58	255
2	263	222
3	1574	219
done	5002	219

prune50.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes175.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	17
1	15	17
done	15	17

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.3s

20608×

body

valid