Details

sample179.0ms

Algorithm

intervals

Results

80.0ms

503×

body

valid

simplify5.3s

Counts

1 → 1

Iterations

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

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

localize41.0ms

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)))

rewrite121.0ms

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)))
16.0ms	(* 27.0 (* k j))
26.0ms	(* (* t x) (* y 18.0))
76.0ms	(* z (* (* t x) (* y 18.0)))

series255.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
30.0ms	(* 27.0 (* k j))
37.0ms	(* (* t x) (* y 18.0))
58.0ms	(* z (* (* t x) (* y 18.0)))

simplify1.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1395
1	360
0	150

prune810.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

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))

rewrite142.0ms

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)))
25.0ms	(* 27.0 (* k j))
24.0ms	(* z (* t x))
89.0ms	(* (* z (* t x)) (* y 18.0))

series266.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
24.0ms	(* 27.0 (* k j))
41.0ms	(* z (* t x))
71.0ms	(* (* z (* t x)) (* y 18.0))

simplify1.4s

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
2	1321
1	354
0	147

prune779.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

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))

rewrite117.0ms

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)))
16.0ms	(* 27.0 (* k j))
17.0ms	(* t (* x z))
81.0ms	(* (* t (* x z)) (* y 18.0))

series289.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
24.0ms	(* 27.0 (* k j))
36.0ms	(* t (* x z))
83.0ms	(* (* t (* x z)) (* y 18.0))

simplify1.8s

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
2	1372
1	350
0	145

prune772.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize109.0ms

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)))

rewrite310.0ms

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:

261.0ms	(* (* (* (cbrt (* t (* x z))) (cbrt (* t (* x z)))) (cbrt (* t (* x z)))) (* y 18.0))
10.0ms	(cbrt (* t (* x z)))
16.0ms	(cbrt (* t (* x z)))
20.0ms	(cbrt (* t (* x z)))

series514.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (* (* (cbrt (* t (* x z))) (cbrt (* t (* x z)))) (cbrt (* t (* x z)))) (* y 18.0))
120.0ms	(cbrt (* t (* x z)))
135.0ms	(cbrt (* t (* x z)))
150.0ms	(cbrt (* t (* x z)))

simplify3.2s

Counts

79 → 79

Iterations

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

prune782.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes3.3s

Accuracy

83.5% (0.7b remaining)

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

bsearch7.0ms

simplify24.0ms

Iterations

Iter	Nodes
done	71
1	71
0	47

end0.0ms

sample4.6s

Algorithm

intervals

Results

3.5s

15885×

body

valid