Details

sample108.0ms

Algorithm

intervals

Results

65.0ms

643×

body

valid

simplify7.2s

Counts

1 → 1

Iterations

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

prune44.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize74.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))) 4.0 (pow (fma b b (* a a)) 2.0))
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)

rewrite36.0ms

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` `insert-posit16` `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 → 65

Calls

4 calls:

2.0ms	(fma (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))) 4.0 (pow (fma b b (* a a)) 2.0))
2.0ms	(fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b))))
19.0ms	(* a (fma (- 1.0 a) a (* b b)))
8.0ms	(pow (fma b b (* a a)) 2.0)

series1.0s

Counts

4 → 12

Calls

4 calls:

246.0ms	(fma (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))) 4.0 (pow (fma b b (* a a)) 2.0))
97.0ms	(fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b))))
94.0ms	(* a (fma (- 1.0 a) a (* b b)))
599.0ms	(pow (fma b b (* a a)) 2.0)

simplify4.5s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
3	2726
2	765
1	289
0	131

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize120.0ms

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)))
18.7b	(cbrt (pow (fma b b (* a a)) 2.0))
18.7b	(cbrt (pow (fma b b (* a a)) 2.0))
18.7b	(cbrt (pow (fma b b (* a a)) 2.0))

rewrite69.0ms

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` `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 → 121

Calls

4 calls:

38.0ms	(* (cbrt (pow (fma b b (* a a)) 2.0)) (cbrt (pow (fma b b (* a a)) 2.0)))
3.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
4.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
4.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

series1.5s

Counts

4 → 12

Calls

4 calls:

374.0ms	(* (cbrt (pow (fma b b (* a a)) 2.0)) (cbrt (pow (fma b b (* a a)) 2.0)))
363.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
418.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
386.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

simplify5.9s

Counts

133 → 133

Iterations

Iter	Nodes
done	5001
4	3009
3	1028
2	463
1	239
0	124

prune2.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize194.0ms

Local error

Found 4 expressions with local error:

18.7b	(cbrt (pow (fma b b (* a a)) 2.0))
18.7b	(cbrt (pow (fma b b (* a a)) 2.0))
18.7b	(cbrt (pow (fma b b (* a a)) 2.0))
18.7b	(cbrt (pow (fma b b (* a a)) 2.0))

rewrite20.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

3.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
5.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
5.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
3.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

series1.3s

Counts

4 → 12

Calls

4 calls:

298.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
346.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
354.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
333.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

simplify6.1s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
5	4179
4	1339
3	504
2	205
1	104
0	59

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize139.0ms

Local error

Found 4 expressions with local error:

10.9b	(cbrt (sqrt (pow (fma b b (* a a)) 2.0)))
10.9b	(cbrt (sqrt (pow (fma b b (* a a)) 2.0)))
18.7b	(cbrt (pow (fma b b (* a a)) 2.0))
18.7b	(cbrt (pow (fma b b (* a a)) 2.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

8.0ms	(cbrt (sqrt (pow (fma b b (* a a)) 2.0)))
9.0ms	(cbrt (sqrt (pow (fma b b (* a a)) 2.0)))
8.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
7.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

series1.2s

Counts

4 → 12

Calls

4 calls:

292.0ms	(cbrt (sqrt (pow (fma b b (* a a)) 2.0)))
292.0ms	(cbrt (sqrt (pow (fma b b (* a a)) 2.0)))
289.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
287.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

simplify2.9s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
4	1965
3	745
2	307
1	159
0	97

prune1.0s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes449.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	17
1	17
0	16

end0.0ms

sample2.7s

Algorithm

intervals

Results

2.2s

20753×

body

valid