Details

sample115.0ms

Algorithm

intervals

Results

90.0ms

664×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.0ms

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:

0.0ms	(fma b b (* a a))
0.0ms	(fma b b (* a a))
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)

series312.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(fma b b (* a a))
49.0ms	(fma b b (* a a))
118.0ms	(fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))
87.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)

simplify3.0s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
4	4605
3	952
2	228
1	86
0	53

prune378.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize65.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

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:

1.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
1.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
1.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
15.0ms	(* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

series941.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
232.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
218.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
274.0ms	(* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

simplify2.3s

Counts

97 → 97

Iterations

Iter	Nodes
done	5004
4	2089
3	682
2	275
1	124
0	64

prune619.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma b b (* a a))) (cbrt (fma b b (* a a))))
7.8b	(cbrt (fma b b (* a a)))
7.8b	(cbrt (fma b b (* a a)))
7.8b	(cbrt (fma b b (* a a)))

rewrite11.0ms

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:

8.0ms	(* (cbrt (fma b b (* a a))) (cbrt (fma b b (* a a))))
1.0ms	(cbrt (fma b b (* a a)))
1.0ms	(cbrt (fma b b (* a a)))
1.0ms	(cbrt (fma b b (* a a)))

series550.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(* (cbrt (fma b b (* a a))) (cbrt (fma b b (* a a))))
126.0ms	(cbrt (fma b b (* a a)))
124.0ms	(cbrt (fma b b (* a a)))
142.0ms	(cbrt (fma b b (* a a)))

simplify2.3s

Counts

97 → 97

Iterations

Iter	Nodes
done	5034
4	3031
3	1042
2	437
1	170
0	80

prune588.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (fma b b (* a a)) (fma b b (* a a)))) (cbrt (fma b b (* a a))))
0.3b	(* (fma b b (* a a)) (fma b b (* a a)))
7.8b	(cbrt (fma b b (* a a)))
22.1b	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`cbrt-prod` `pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
8×	`add-exp-log`
7×	`associate-l`
6×	`add-cbrt-cube`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `pow1/3` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr` `pow-prod-down`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow3` `pow-sqr` `pow-prod-up`

Counts

4 → 86

Calls

4 calls:

21.0ms	(* (cbrt (* (fma b b (* a a)) (fma b b (* a a)))) (cbrt (fma b b (* a a))))
10.0ms	(* (fma b b (* a a)) (fma b b (* a a)))
1.0ms	(cbrt (fma b b (* a a)))
3.0ms	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))

series408.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (cbrt (* (fma b b (* a a)) (fma b b (* a a)))) (cbrt (fma b b (* a a))))
60.0ms	(* (fma b b (* a a)) (fma b b (* a a)))
168.0ms	(cbrt (fma b b (* a a)))
138.0ms	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))

simplify3.0s

Counts

98 → 98

Iterations

Iter	Nodes
done	5009
3	2478
2	748
1	246
0	120

prune523.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes228.0ms

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	9
0	9

end0.0ms

sample3.5s

Algorithm

intervals

Results

3.0s

20122×

body

valid