Details

sample43.0ms

Algorithm

intervals

Results

20.0ms

364×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	17	17
1	35	17
2	92	16
3	253	16
4	506	16
5	629	16
6	704	16
7	741	16
8	894	16
9	1084	16
10	1088	16
done	1088	16

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.1b	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
0.2b	(* (* y 9.0) z)
5.8b	(* (* (* y 9.0) z) t)

rewrite119.0ms

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:

9.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
24.0ms	(* (* y 9.0) z)
84.0ms	(* (* (* y 9.0) z) t)

series526.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
307.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
34.0ms	(* (* y 9.0) z)
35.0ms	(* (* (* y 9.0) z) t)

simplify1.9s

Counts

81 → 81

Iterations

Useful iterations: 2 (313.0ms)

Iter	Nodes	Cost
0	125	997
1	302	954
2	1202	823
done	5000	823

prune390.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.1b	(fma (* a 27.0) b (- (* x 2.0) (* (* y 9.0) (* z t))))
4.6b	(* (* y 9.0) (* z t))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

21.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
1.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* y 9.0) (* z t))))
31.0ms	(* (* y 9.0) (* z t))

series483.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
305.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* y 9.0) (* z t))))
52.0ms	(* (* y 9.0) (* z t))

simplify1.4s

Counts

59 → 59

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	105	849
1	265	811
2	1043	698
done	5001	696

prune252.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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)))
0.3b	(* 27.0 (* a b))
4.6b	(* (* y 9.0) (* z t))

rewrite156.0ms

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:

42.0ms	(+ (* 27.0 (* a b)) (- (* x 2.0) (* (* y 9.0) (* z t))))
19.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
33.0ms	(* 27.0 (* a b))
60.0ms	(* (* y 9.0) (* z t))

series468.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(+ (* 27.0 (* a b)) (- (* x 2.0) (* (* y 9.0) (* z t))))
137.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
23.0ms	(* 27.0 (* a b))
43.0ms	(* (* y 9.0) (* z t))

simplify1.4s

Counts

91 → 91

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	147	1231
1	400	1123
2	1580	1044
done	5000	1007

prune429.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.3b	(* (sqrt 27.0) (* a b))
0.3b	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
4.6b	(* (* y 9.0) (* z t))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

21.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
45.0ms	(* (sqrt 27.0) (* a b))
71.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
32.0ms	(* (* y 9.0) (* z t))

series359.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
61.0ms	(* (sqrt 27.0) (* a b))
110.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
40.0ms	(* (* y 9.0) (* z t))

simplify1.6s

Counts

101 → 101

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	148	1169
1	388	996
2	1550	839
done	5001	837

prune420.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes318.0ms

Accuracy

70.4% (1.1b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 3.7b

bsearch4.0ms

simplify19.0ms

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	37	72
1	55	70
done	55	70

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.8s

11008×

body

valid