Details

sample82.0ms

Algorithm

intervals

Results

57.0ms

656×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4618
5	1889
4	575
3	160
2	62
1	29
0	12

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a a) (* b b))
0.0b	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
0.0b	(* 4 (* b b))
0.3b	(pow (+ (* a a) (* b b)) 2)

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `pow1` `add-exp-log`
9×	`fma-def` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
8×	`add-log-exp`
6×	`unpow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `sum-log` `flip3-+` `flip-+` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-r` `pow-exp` `*-commutative` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

10.0ms	(+ (* a a) (* b b))
110.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
33.0ms	(* 4 (* b b))
21.0ms	(pow (+ (* a a) (* b b)) 2)

series223.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (* a a) (* b b))
85.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
33.0ms	(* 4 (* b b))
53.0ms	(pow (+ (* a a) (* b b)) 2)

simplify1.6s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1587
1	384
0	121

prune580.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma (* b b) (* b b) (* (* a a) (+ (* (* b b) 2) (* a a)))) (* 4 (* b b)))
0.0b	(* 4 (* b b))
0.1b	(fma (* b b) (* b b) (* (* a a) (+ (* (* b b) 2) (* a a))))
1.1b	(* (* a a) (+ (* (* b b) 2) (* a a)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u`
3×	`fma-def`
2×	`flip3-+` `associate-r/` `-commutative` `flip-+` `fma-udef` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `associate-+l+` `sum-log` `distribute-lft-in`

Counts

4 → 77

Calls

4 calls:

15.0ms	(+ (fma (* b b) (* b b) (* (* a a) (+ (* (* b b) 2) (* a a)))) (* 4 (* b b)))
36.0ms	(* 4 (* b b))
1.0ms	(fma (* b b) (* b b) (* (* a a) (+ (* (* b b) 2) (* a a))))
113.0ms	(* (* a a) (+ (* (* b b) 2) (* a a)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(+ (fma (* b b) (* b b) (* (* a a) (+ (* (* b b) 2) (* a a)))) (* 4 (* b b)))
49.0ms	(* 4 (* b b))
90.0ms	(fma (* b b) (* b b) (* (* a a) (+ (* (* b b) 2) (* a a))))
103.0ms	(* (* a a) (+ (* (* b b) 2) (* a a)))

simplify2.1s

Counts

89 → 89

Iterations

Iter	Nodes
done	5004
2	1884
1	397
0	128

prune465.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4 (* b b))
0.1b	(* a (* a (fma 2 (* b b) (* a a))))
0.1b	(fma (* b b) (* b b) (* a (* a (fma 2 (* b b) (* a a)))))
0.2b	(* a (fma 2 (* b b) (* a a)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`add-sqr-sqrt`
9×	`associate-l`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`unswap-sqr`

Counts

4 → 81

Calls

4 calls:

17.0ms	(* 4 (* b b))
27.0ms	(* a (* a (fma 2 (* b b) (* a a))))
0.0ms	(fma (* b b) (* b b) (* a (* a (fma 2 (* b b) (* a a)))))
9.0ms	(* a (fma 2 (* b b) (* a a)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* 4 (* b b))
110.0ms	(* a (* a (fma 2 (* b b) (* a a))))
87.0ms	(fma (* b b) (* b b) (* a (* a (fma 2 (* b b) (* a a)))))
82.0ms	(* a (fma 2 (* b b) (* a a)))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1041
1	292
0	124

prune493.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 2 (* b b) (* a a))) (cbrt (fma 2 (* b b) (* a a))))
9.2b	(cbrt (fma 2 (* b b) (* a a)))
9.2b	(cbrt (fma 2 (* b b) (* a a)))
9.2b	(cbrt (fma 2 (* b b) (* a a)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

12.0ms	(* (cbrt (fma 2 (* b b) (* a a))) (cbrt (fma 2 (* b b) (* a a))))
1.0ms	(cbrt (fma 2 (* b b) (* a a)))
1.0ms	(cbrt (fma 2 (* b b) (* a a)))
1.0ms	(cbrt (fma 2 (* b b) (* a a)))

series809.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt (fma 2 (* b b) (* a a))) (cbrt (fma 2 (* b b) (* a a))))
207.0ms	(cbrt (fma 2 (* b b) (* a a)))
205.0ms	(cbrt (fma 2 (* b b) (* a a)))
190.0ms	(cbrt (fma 2 (* b b) (* a a)))

simplify1.8s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
3	1419
2	511
1	201
0	95

prune698.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.1b

regimes320.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	20
1	20
0	14

end0.0ms

sample2.8s

Algorithm

intervals

Results

2.3s

20324×

body

valid