Details

sample118.0ms

Algorithm

intervals

Results

98.0ms

664×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3560
3	785
2	201
1	58
0	19

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize68.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.0b	(fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.0b	(fma a -12 4)
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))
1.0ms	(fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
1.0ms	(fma a -12 4)
1.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)

series598.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))
206.0ms	(fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
77.0ms	(fma a -12 4)
137.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)

simplify1.5s

Counts

56 → 56

Iterations

Iter	Nodes
done	5008
3	1535
2	371
1	143
0	80

prune433.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.2b	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.2b	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.2b	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `cbrt-unprod` `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`

Counts

4 → 88

Calls

4 calls:

2.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
2.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
2.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
25.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))

series1.1s

Counts

4 → 12

Calls

4 calls:

241.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
290.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
255.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
338.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))

simplify4.0s

Counts

100 → 100

Iterations

Iter	Nodes
done	5007
4	3096
3	870
2	339
1	138
0	67

prune820.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
0.2b	(cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

84×	`cbrt-prod`
55×	`add-sqr-sqrt`
31×	`*-un-lft-identity` `add-cube-cbrt`
18×	`pow1` `swap-sqr` `associate-r` `associate-l`
14×	`pow1/3`
12×	`add-cbrt-cube` `unswap-sqr`
8×	`add-exp-log` `cbrt-unprod`
4×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 147

Calls

4 calls:

14.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
12.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
25.0ms	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
3.0ms	(cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))

series1.6s

Counts

4 → 12

Calls

4 calls:

311.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
262.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
306.0ms	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
725.0ms	(cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))

simplify5.0s

Counts

159 → 159

Iterations

Iter	Nodes
done	5000
4	4470
3	1447
2	450
1	195
0	107

prune1.4s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize98.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
2.0ms	(cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
1.0ms	(cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
2.0ms	(cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))

series1.1s

Counts

4 → 12

Calls

4 calls:

234.0ms	(cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
281.0ms	(cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
274.0ms	(cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
282.0ms	(cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))

simplify3.8s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
6	4985
5	1377
4	500
3	194
2	91
1	55
0	37

prune874.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes420.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
0	13

end0.0ms

sample5.3s

Algorithm

intervals

Results

4.9s

20122×

body

valid