Details

sample93.0ms

Algorithm

intervals

Results

48.0ms

360×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (23.0ms)

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.9b

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)
6.0b	(* (* (* y 9.0) z) t)

rewrite135.0ms

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)))
34.0ms	(* (* y 9.0) z)
89.0ms	(* (* (* y 9.0) z) t)

series468.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
281.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
34.0ms	(* (* y 9.0) z)
40.0ms	(* (* (* y 9.0) z) t)

simplify2.0s

Counts

81 → 81

Iterations

Useful iterations: 2 (386.0ms)

Iter	Nodes	Cost
0	125	997
1	315	954
2	1867	823
done	5000	823

prune402.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* 9.0 (* t (* z y))))
0.1b	(fma (* a 27.0) b (- (* x 2.0) (* 9.0 (* t (* z y)))))
0.2b	(* 9.0 (* t (* z y)))
6.0b	(* t (* z y))

rewrite114.0ms

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:

11.0ms	(- (* x 2.0) (* 9.0 (* t (* z y))))
0.0ms	(fma (* a 27.0) b (- (* x 2.0) (* 9.0 (* t (* z y)))))
76.0ms	(* 9.0 (* t (* z y)))
24.0ms	(* t (* z y))

series549.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(- (* x 2.0) (* 9.0 (* t (* z y))))
305.0ms	(fma (* a 27.0) b (- (* x 2.0) (* 9.0 (* t (* z y)))))
48.0ms	(* 9.0 (* t (* z y)))
43.0ms	(* t (* z y))

simplify1.4s

Counts

81 → 81

Iterations

Useful iterations: 2 (237.0ms)

Iter	Nodes	Cost
0	116	987
1	281	948
2	1189	817
done	5000	817

prune433.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 27.0 (* a b)) (- (* x 2.0) (* (* (* y 9.0) z) t)))
0.2b	(* (* y 9.0) z)
0.3b	(* 27.0 (* a b))
6.0b	(* (* (* y 9.0) z) t)

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

35.0ms	(+ (* 27.0 (* a b)) (- (* x 2.0) (* (* (* y 9.0) z) t)))
26.0ms	(* (* y 9.0) z)
29.0ms	(* 27.0 (* a b))
70.0ms	(* (* (* y 9.0) z) t)

series351.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(+ (* 27.0 (* a b)) (- (* x 2.0) (* (* (* y 9.0) z) t)))
32.0ms	(* (* y 9.0) z)
35.0ms	(* 27.0 (* a b))
37.0ms	(* (* (* y 9.0) z) t)

simplify2.0s

Counts

94 → 94

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	147	1063
1	387	999
2	2207	875
done	5000	868

prune435.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 2.0) (* (* 9.0 t) (* z y)))
0.1b	(fma (* a 27.0) b (- (* x 2.0) (* (* 9.0 t) (* z y))))
6.1b	(* (* 9.0 t) (* z y))

rewrite81.0ms

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:

22.0ms	(- (* x 2.0) (* (* 9.0 t) (* z y)))
1.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* 9.0 t) (* z y))))
56.0ms	(* (* 9.0 t) (* z y))

series469.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(- (* x 2.0) (* (* 9.0 t) (* z y)))
280.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* 9.0 t) (* z y))))
58.0ms	(* (* 9.0 t) (* z y))

simplify1.8s

Counts

59 → 59

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	103	849
1	267	812
2	1353	698
done	5000	696

prune271.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes692.0ms

Accuracy

85.5% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.5b

bsearch2.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	65
1	48	65
done	48	65

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s

11023×

body

valid