Details

sample56.0ms

Algorithm

intervals

Results

29.0ms

619×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3761
5	474
4	154
3	87
2	50
1	26
0	12

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma a a (* b b))
0.0b	(fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0))
0.3b	(pow (fma a a (* b b)) 2.0)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-exp-log`
3×	`expm1-log1p-u` `pow-unpow` `unpow-prod-down` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

3 → 39

Calls

3 calls:

0.0ms	(fma a a (* b b))
0.0ms	(fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0))
2.0ms	(pow (fma a a (* b b)) 2.0)

series367.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(fma a a (* b b))
141.0ms	(fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0))
157.0ms	(pow (fma a a (* b b)) 2.0)

simplify2.3s

Counts

48 → 48

Iterations

Iter	Nodes
done	5002
3	2278
2	523
1	167
0	78

prune257.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize63.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0))) (cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0))))
13.9b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
13.9b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
13.9b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

rewrite27.0ms

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` `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 → 81

Calls

4 calls:

15.0ms	(* (cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0))) (cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0))))
1.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
1.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
1.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

310.0ms	(* (cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0))) (cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0))))
264.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
311.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
304.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

simplify6.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
3	4689
2	805
1	228
0	105

prune640.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

13.9b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
13.9b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
13.9b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
13.9b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

rewrite6.0ms

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` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

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

series1.2s

Counts

4 → 12

Calls

4 calls:

351.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
277.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
255.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
288.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

simplify1.2s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
3	884
2	251
1	109
0	54

prune599.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

localize95.0ms

Local error

Found 4 expressions with local error:

13.9b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
13.9b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
13.9b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
13.9b	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

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` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

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

series1.1s

Counts

4 → 12

Calls

4 calls:

275.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
280.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
288.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
300.0ms	(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

simplify1.2s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
3	884
2	251
1	109
0	54

prune706.0ms

Pruning

15 alts after pruning (11 fresh and 4 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

simplify2.0ms

Iterations

Iter	Nodes
done	10
0	10

end0.0ms

sample2.8s

Algorithm

intervals

Results

2.3s

20448×

body

valid