Details

sample63.0ms

Algorithm

intervals

Results

25.0ms

359×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	17	17
1	35	17
2	92	16
3	257	16
4	601	16
5	1284	16
done	5001	16

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* (* y 9.0) z)
0.3b	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
5.4b	(* (* (* y 9.0) z) t)

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--` `fma-udef`

Counts

4 → 69

Calls

4 calls:

20.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
29.0ms	(* (* y 9.0) z)
0.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
90.0ms	(* (* (* y 9.0) z) t)

series815.0ms

Counts

4 → 12

Calls

4 calls:

478.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
37.0ms	(* (* y 9.0) z)
265.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
35.0ms	(* (* (* y 9.0) z) t)

simplify1.8s

Counts

81 → 81

Iterations

Useful iterations: 2 (301.0ms)

Iter	Nodes	Cost
0	125	997
1	315	954
2	1877	823
done	5001	823

prune351.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* 27.0 (* a b))
0.2b	(* (* y 9.0) z)
5.4b	(* (* (* y 9.0) z) t)

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

4 → 79

Calls

4 calls:

15.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
32.0ms	(* 27.0 (* a b))
31.0ms	(* (* y 9.0) z)
94.0ms	(* (* (* y 9.0) z) t)

series163.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
29.0ms	(* 27.0 (* a b))
24.0ms	(* (* y 9.0) z)
31.0ms	(* (* (* y 9.0) z) t)

simplify1.9s

Counts

91 → 91

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	142	911
1	369	868
2	2170	751
done	5002	739

prune314.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2.0 x) (* 9.0 (* t (* z y))))
0.3b	(* 9.0 (* t (* z y)))
0.3b	(fma (* a 27.0) b (- (* 2.0 x) (* 9.0 (* t (* z y)))))
5.4b	(* t (* z y))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--` `fma-udef`

Counts

4 → 69

Calls

4 calls:

21.0ms	(- (* 2.0 x) (* 9.0 (* t (* z y))))
50.0ms	(* 9.0 (* t (* z y)))
0.0ms	(fma (* a 27.0) b (- (* 2.0 x) (* 9.0 (* t (* z y)))))
17.0ms	(* t (* z y))

series461.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(- (* 2.0 x) (* 9.0 (* t (* z y))))
48.0ms	(* 9.0 (* t (* z y)))
269.0ms	(fma (* a 27.0) b (- (* 2.0 x) (* 9.0 (* t (* z y)))))
31.0ms	(* t (* z y))

simplify956.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (166.0ms)

Iter	Nodes	Cost
0	114	987
1	277	948
2	1073	817
done	5000	817

prune289.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 27.0 (* a b)) (- (* x 2.0) (* (* y 9.0) (* z t))))
0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.2b	(* 27.0 (* a b))
6.7b	(* (* y 9.0) (* z t))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
3×	`associate-+r+`
2×	`sub-neg` `diff-log` `associate-r` `prod-diff` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+r-` `flip3--` `fma-def` `flip3-+` `fma-neg` `flip--` `flip-+`

Counts

4 → 79

Calls

4 calls:

57.0ms	(+ (* 27.0 (* a b)) (- (* x 2.0) (* (* y 9.0) (* z t))))
30.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
35.0ms	(* 27.0 (* a b))
57.0ms	(* (* y 9.0) (* z t))

series361.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(+ (* 27.0 (* a b)) (- (* x 2.0) (* (* y 9.0) (* z t))))
96.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
27.0ms	(* 27.0 (* a b))
50.0ms	(* (* y 9.0) (* z t))

simplify1.4s

Counts

91 → 91

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	147	1231
1	406	1123
2	1956	1012
done	5002	1008

prune259.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes574.0ms

Accuracy

74.5% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 3.6b

bsearch1.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	27	71
1	40	55
done	40	55

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.4s

10845×

body

valid