Details

sample202.0ms

Algorithm

intervals

Results

89.0ms

503×

body

valid

simplify9.7s

Counts

1 → 1

Iterations

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

prune124.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.1b

localize118.0ms

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)))

rewrite196.0ms

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:

1.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
21.0ms	(* 27.0 (* k j))
39.0ms	(* (* t x) (* y 18.0))
129.0ms	(* z (* (* t x) (* y 18.0)))

series368.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
35.0ms	(* 27.0 (* k j))
65.0ms	(* (* t x) (* y 18.0))
78.0ms	(* z (* (* t x) (* y 18.0)))

simplify3.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5002
2	1429
1	361
0	150

prune2.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize156.0ms

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))

rewrite159.0ms

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:

2.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
42.0ms	(* 27.0 (* k j))
21.0ms	(* z (* t x))
85.0ms	(* (* z (* t x)) (* y 18.0))

series426.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
37.0ms	(* 27.0 (* k j))
63.0ms	(* z (* t x))
106.0ms	(* (* z (* t x)) (* y 18.0))

simplify3.2s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1323
1	358
0	147

prune2.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize79.0ms

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))

rewrite214.0ms

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)))
44.0ms	(* 27.0 (* k j))
44.0ms	(* t (* x z))
120.0ms	(* (* t (* x z)) (* y 18.0))

series371.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
28.0ms	(* 27.0 (* k j))
57.0ms	(* t (* x z))
106.0ms	(* (* t (* x z)) (* y 18.0))

simplify3.4s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1275
1	352
0	145

prune2.4s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize205.0ms

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)))

rewrite423.0ms

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:

330.0ms	(* (* (* (cbrt (* t (* x z))) (cbrt (* t (* x z)))) (cbrt (* t (* x z)))) (* y 18.0))
32.0ms	(cbrt (* t (* x z)))
30.0ms	(cbrt (* t (* x z)))
25.0ms	(cbrt (* t (* x z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

143.0ms	(* (* (* (cbrt (* t (* x z))) (cbrt (* t (* x z)))) (cbrt (* t (* x z)))) (* y 18.0))
244.0ms	(cbrt (* t (* x z)))
267.0ms	(cbrt (* t (* x z)))
572.0ms	(cbrt (* t (* x z)))

simplify8.7s

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
3	4182
2	1015
1	268
0	107

prune2.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes9.6s

Accuracy

83.5% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 4.6b

bsearch7.0ms

simplify32.0ms

Iterations

Iter	Nodes
done	71
1	71
0	47

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.9s

15885×

body

valid