Details

sample170.0ms

Algorithm

intervals

Results

105.0ms

503×

body

valid

simplify5.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4998
4	2295
3	723
2	217
1	67
0	28

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
0.3b	(* 27.0 (* k j))
4.9b	(* (* t x) (* y 18.0))
6.5b	(* z (* (* t x) (* y 18.0)))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

0.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
33.0ms	(* 27.0 (* k j))
33.0ms	(* (* t x) (* y 18.0))
100.0ms	(* z (* (* t x) (* y 18.0)))

series292.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
22.0ms	(* 27.0 (* k j))
59.0ms	(* (* t x) (* y 18.0))
77.0ms	(* z (* (* t x) (* y 18.0)))

simplify1.6s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1395
1	360
0	150

prune863.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
0.3b	(* 27.0 (* k j))
4.1b	(* z (* t x))
7.4b	(* (* z (* t x)) (* y 18.0))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

1.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
23.0ms	(* 27.0 (* k j))
19.0ms	(* z (* t x))
110.0ms	(* (* z (* t x)) (* y 18.0))

series337.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
39.0ms	(* 27.0 (* k j))
35.0ms	(* z (* t x))
99.0ms	(* (* z (* t x)) (* y 18.0))

simplify2.1s

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
2	1321
1	354
0	147

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
0.3b	(* 27.0 (* k j))
5.6b	(* t (* x z))
7.4b	(* (* t (* x z)) (* y 18.0))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

0.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
18.0ms	(* 27.0 (* k j))
31.0ms	(* t (* x z))
81.0ms	(* (* t (* x z)) (* y 18.0))

series281.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
26.0ms	(* 27.0 (* k j))
35.0ms	(* t (* x z))
71.0ms	(* (* t (* x z)) (* y 18.0))

simplify1.7s

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
2	1372
1	350
0	145

prune849.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

7.4b	(* (* (* (cbrt (* t (* x z))) (cbrt (* t (* x z)))) (cbrt (* t (* x z)))) (* y 18.0))
17.6b	(cbrt (* t (* x z)))
17.6b	(cbrt (* t (* x z)))
17.6b	(cbrt (* t (* x z)))

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log`
17×	`add-cbrt-cube`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 67

Calls

4 calls:

253.0ms	(* (* (* (cbrt (* t (* x z))) (cbrt (* t (* x z)))) (cbrt (* t (* x z)))) (* y 18.0))
21.0ms	(cbrt (* t (* x z)))
31.0ms	(cbrt (* t (* x z)))
12.0ms	(cbrt (* t (* x z)))

series632.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (* (* (cbrt (* t (* x z))) (cbrt (* t (* x z)))) (cbrt (* t (* x z)))) (* y 18.0))
168.0ms	(cbrt (* t (* x z)))
168.0ms	(cbrt (* t (* x z)))
170.0ms	(cbrt (* t (* x z)))

simplify3.0s

Counts

79 → 79

Iterations

Iter	Nodes
done	5003
3	4017
2	984
1	268
0	107

prune846.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes2.6s

Accuracy

83.5% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 4.4b

bsearch4.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	71
1	71
0	47

end0.0ms

sample4.0s

Algorithm

intervals

Results

3.2s

15885×

body

valid