Details

sample32.0ms

Algorithm

intervals

Results

19.0ms

310×

body

valid

simplify44.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	86
5	86
4	79
3	52
2	24
1	11
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* y z))
3.4b	(* x (- 1.0 (* y z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`prod-diff`
8×	`*-un-lft-identity` `add-cube-cbrt`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`sub-neg` `fma-neg` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `insert-posit16` `log1p-expm1-u` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

6.0ms	(- 1.0 (* y z))
19.0ms	(* x (- 1.0 (* y z)))

series104.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(- 1.0 (* y z))
74.0ms	(* x (- 1.0 (* y z)))

simplify435.0ms

Counts

60 → 60

Iterations

Iter	Nodes
done	2000
2	557
1	184
0	83

prune236.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.3b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- (* y z))))
6.9b	(* x (- (* y z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-r`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l` `distribute-rgt-neg-out`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
1×	`distribute-lft-neg-in` `+-commutative` `neg-mul-1` `sum-log` `fma-def` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

10.0ms	(+ (* x 1.0) (* x (- (* y z))))
15.0ms	(* x (- (* y z)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(+ (* x 1.0) (* x (- (* y z))))
28.0ms	(* x (- (* y z)))

simplify609.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	2001
2	917
1	208
0	74

prune165.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z y)))
3.4b	(* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z y))) x)
50.4b	(fma (- z) y (* z y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

0.0ms	(fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z y)))
5.0ms	(* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z y))) x)
0.0ms	(fma (- z) y (* z y))

series254.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z y)))
107.0ms	(* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z y))) x)
28.0ms	(fma (- z) y (* z y))

simplify903.0ms

Counts

52 → 52

Iterations

Iter	Nodes
done	2001
3	1163
2	276
1	107
0	64

prune250.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

3.5b	(cbrt (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z y))))
3.5b	(cbrt (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z y))))
3.5b	(cbrt (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z y))))
50.4b	(fma (- z) y (* z y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z y))))
1.0ms	(cbrt (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z y))))
1.0ms	(cbrt (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z y))))
0.0ms	(fma (- z) y (* z y))

series1.1s

Counts

4 → 12

Calls

4 calls:

376.0ms	(cbrt (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z y))))
387.0ms	(cbrt (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z y))))
316.0ms	(cbrt (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z y))))
36.0ms	(fma (- z) y (* z y))

simplify800.0ms

Counts

65 → 65

Iterations

Iter	Nodes
done	2000
3	1764
2	465
1	179
0	82

prune397.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes250.0ms

Accuracy

90% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	53
3	53
2	47
1	37
0	20

end0.0ms

sample806.0ms

Algorithm

intervals

Results

582.0ms

9496×

body

valid