Details

sample81.0ms

Algorithm

intervals

Results

60.0ms

612×

body

valid

simplify3.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4328
4	1635
3	521
2	171
1	53
0	18

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- 1.0 a) a (* b b))
0.1b	(fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b))))
0.1b	(* a (fma (- 1.0 a) a (* b b)))
0.3b	(pow (fma b b (* a a)) 2.0)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `fma-udef` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down` `associate-r` `associate-l`
1×	`distribute-rgt-in` `pow-to-exp` `pow-pow` `distribute-lft-in` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `sqr-pow`

Counts

4 → 61

Calls

4 calls:

0.0ms	(fma (- 1.0 a) a (* b b))
0.0ms	(fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b))))
6.0ms	(* a (fma (- 1.0 a) a (* b b)))
2.0ms	(pow (fma b b (* a a)) 2.0)

series342.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(fma (- 1.0 a) a (* b b))
71.0ms	(fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b))))
89.0ms	(* a (fma (- 1.0 a) a (* b b)))
139.0ms	(pow (fma b b (* a a)) 2.0)

simplify2.3s

Counts

73 → 73

Iterations

Iter	Nodes
done	5002
3	2178
2	628
1	253
0	112

prune507.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize82.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (fma b b (* a a)) 2.0)) (cbrt (pow (fma b b (* a a)) 2.0)))
19.6b	(cbrt (pow (fma b b (* a a)) 2.0))
19.6b	(cbrt (pow (fma b b (* a a)) 2.0))
19.6b	(cbrt (pow (fma b b (* a a)) 2.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
46×	`add-sqr-sqrt`
29×	`unpow-prod-down`
22×	`*-un-lft-identity` `add-cube-cbrt`
16×	`unswap-sqr`
15×	`sqr-pow`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `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 → 117

Calls

4 calls:

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

series889.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(* (cbrt (pow (fma b b (* a a)) 2.0)) (cbrt (pow (fma b b (* a a)) 2.0)))
221.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
238.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
205.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

simplify3.0s

Counts

129 → 129

Iterations

Iter	Nodes
done	5037
4	3020
3	1066
2	522
1	236
0	122

prune1.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize126.0ms

Local error

Found 4 expressions with local error:

9.7b	(cbrt (fma b b (* a a)))
15.7b	(cbrt (pow (* (cbrt (fma b b (* a a))) (cbrt (fma b b (* a a)))) 2.0))
19.6b	(cbrt (pow (fma b b (* a a)) 2.0))
19.6b	(cbrt (pow (fma b b (* a a)) 2.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt (fma b b (* a a)))
4.0ms	(cbrt (pow (* (cbrt (fma b b (* a a))) (cbrt (fma b b (* a a)))) 2.0))
4.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
3.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

series847.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt (fma b b (* a a)))
238.0ms	(cbrt (pow (* (cbrt (fma b b (* a a))) (cbrt (fma b b (* a a)))) 2.0))
207.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
230.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

simplify2.1s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
3	1341
2	465
1	207
0	112

prune1.1s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize119.0ms

Local error

Found 4 expressions with local error:

19.6b	(cbrt (pow (fma b b (* a a)) 2.0))
19.6b	(cbrt (pow (fma b b (* a a)) 2.0))
19.6b	(cbrt (pow (fma b b (* a a)) 2.0))
19.6b	(cbrt (pow (fma b b (* a a)) 2.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `unpow-prod-down` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

4.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
4.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
3.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
3.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

series916.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
200.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
242.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
265.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

simplify3.1s

Counts

80 → 80

Iterations

Iter	Nodes
done	5007
5	4208
4	1335
3	499
2	204
1	103
0	58

prune833.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes304.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	17
1	17
0	16

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.7s

20694×

body

valid