Details

sample115.0ms

Algorithm

intervals

Results

90.0ms

661×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2029
6	2029
5	1889
4	575
3	160
2	62
1	29
0	12

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

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)

rewrite153.0ms

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:

18.0ms	(+ (* a a) (* b b))
95.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
29.0ms	(* 4 (* b b))
9.0ms	(pow (+ (* a a) (* b b)) 2)

series223.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (* a a) (* b b))
78.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
47.0ms	(* 4 (* b b))
47.0ms	(pow (+ (* a a) (* b b)) 2)

simplify1.2s

Counts

92 → 92

Iterations

Iter	Nodes
done	2000
3	2000
2	1587
1	384
0	121

prune953.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

0.0ms	(fma a a (* b b))
16.0ms	(+ (pow (fma a a (* b b)) 2) (* 4 (* b b)))
18.0ms	(* 4 (* b b))
4.0ms	(pow (fma a a (* b b)) 2)

series252.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(fma a a (* b b))
77.0ms	(+ (pow (fma a a (* b b)) 2) (* 4 (* b b)))
47.0ms	(* 4 (* b b))
80.0ms	(pow (fma a a (* b b)) 2)

simplify1.5s

Counts

88 → 88

Iterations

Iter	Nodes
done	2010
3	2010
2	1039
1	297
0	109

prune902.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (fma a a (* b b)) 2)) (cbrt (pow (fma a a (* b b)) 2)))
18.8b	(cbrt (pow (fma a a (* b b)) 2))
18.8b	(cbrt (pow (fma a a (* b b)) 2))
18.8b	(cbrt (pow (fma a a (* b b)) 2))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod`
52×	`add-sqr-sqrt`
31×	`unpow-prod-down`
25×	`unswap-sqr`
22×	`*-un-lft-identity` `add-cube-cbrt`
17×	`unpow2` `sqr-pow`
11×	`pow1` `swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 136

Calls

4 calls:

31.0ms	(* (cbrt (pow (fma a a (* b b)) 2)) (cbrt (pow (fma a a (* b b)) 2)))
1.0ms	(cbrt (pow (fma a a (* b b)) 2))
1.0ms	(cbrt (pow (fma a a (* b b)) 2))
2.0ms	(cbrt (pow (fma a a (* b b)) 2))

series710.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(* (cbrt (pow (fma a a (* b b)) 2)) (cbrt (pow (fma a a (* b b)) 2)))
184.0ms	(cbrt (pow (fma a a (* b b)) 2))
179.0ms	(cbrt (pow (fma a a (* b b)) 2))
158.0ms	(cbrt (pow (fma a a (* b b)) 2))

simplify1.0s

Counts

148 → 148

Iterations

Iter	Nodes
done	2029
4	2029
3	1351
2	588
1	256
0	125

prune2.1s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

9.4b	(cbrt (fma a a (* b b)))
9.4b	(cbrt (fma a a (* b b)))
18.8b	(cbrt (pow (fma a a (* b b)) 2))
18.8b	(cbrt (pow (fma a a (* b b)) 2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`unpow-prod-down`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`unpow2` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt (fma a a (* b b)))
1.0ms	(cbrt (fma a a (* b b)))
3.0ms	(cbrt (pow (fma a a (* b b)) 2))
3.0ms	(cbrt (pow (fma a a (* b b)) 2))

series655.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt (fma a a (* b b)))
166.0ms	(cbrt (fma a a (* b b)))
174.0ms	(cbrt (pow (fma a a (* b b)) 2))
195.0ms	(cbrt (pow (fma a a (* b b)) 2))

simplify1.1s

Counts

78 → 78

Iterations

Iter	Nodes
done	2017
4	2017
3	1059
2	340
1	141
0	75

prune1.1s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes268.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample3.5s

Algorithm

intervals

Results

3.0s

20442×

body

valid