Details

sample111.0ms

Algorithm

intervals

Results

88.0ms

641×

body

valid

simplify738.0ms

Counts

1 → 1

Iterations

Iter	Nodes
5	2015
4	590
3	161
2	62
1	29
0	12

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))
0.1b	(fma (fma b b (* a a)) (fma b b (* a a)) -1)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 22

Calls

2 calls:

0.0ms	(fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))
0.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)

series245.0ms

Counts

2 → 6

Calls

2 calls:

131.0ms	(fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))
114.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)

simplify1.3s

Counts

28 → 28

Iterations

Iter	Nodes
4	3244
3	706
2	189
1	75
0	43

prune332.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))) (cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))))
0.2b	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

rewrite14.0ms

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:

9.0ms	(* (cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))) (cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))))
1.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
1.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
2.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

series1.1s

Counts

4 → 12

Calls

4 calls:

284.0ms	(* (cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))) (cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))))
224.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
267.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
294.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

simplify1.5s

Counts

97 → 97

Iterations

Iter	Nodes
4	3365
3	1024
2	395
1	172
0	84

prune1.1s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 56

Calls

4 calls:

1.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
1.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
1.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
2.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

series1.5s

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
246.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
653.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
305.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

simplify2.6s

Counts

68 → 68

Iterations

Iter	Nodes
5	5239
4	1399
3	453
2	169
1	78
0	43

prune972.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 56

Calls

4 calls:

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

series960.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
246.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
225.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
238.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

simplify2.4s

Counts

68 → 68

Iterations

Iter	Nodes
5	5239
4	1399
3	453
2	169
1	78
0	43

prune1.2s

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 0.0b

regimes323.0ms

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
1	9
0	9

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.4s

20350×

body

valid