Details

sample86.0ms

Algorithm

intervals

Results

36.0ms

364×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (24.0ms)

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize17.0ms

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)
5.6b	(* (* (* y 9.0) z) t)

rewrite133.0ms

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))
1.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
28.0ms	(* (* y 9.0) z)
93.0ms	(* (* (* y 9.0) z) t)

series399.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
237.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
22.0ms	(* (* y 9.0) z)
34.0ms	(* (* (* y 9.0) z) t)

simplify1.5s

Counts

81 → 81

Iterations

Useful iterations: 2 (325.0ms)

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

prune364.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

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))))
4.5b	(* (* y 9.0) (* z t))

rewrite61.0ms

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:

11.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* y 9.0) (* z t))))
41.0ms	(* (* y 9.0) (* z t))

series429.0ms

Counts

3 → 9

Calls

3 calls:

137.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
253.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* y 9.0) (* z t))))
39.0ms	(* (* y 9.0) (* z t))

simplify1.3s

Counts

59 → 59

Iterations

Useful iterations: done (1.3s)

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

prune281.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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	(* 9.0 (* z t))
4.4b	(* y (* 9.0 (* z t)))

rewrite98.0ms

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:

27.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
1.0ms	(fma (* a 27.0) b (- (* x 2.0) (* y (* 9.0 (* z t)))))
19.0ms	(* 9.0 (* z t))
47.0ms	(* y (* 9.0 (* z t)))

series525.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
360.0ms	(fma (* a 27.0) b (- (* x 2.0) (* y (* 9.0 (* z t)))))
23.0ms	(* 9.0 (* z t))
43.0ms	(* y (* 9.0 (* z t)))

simplify1.9s

Counts

81 → 81

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	121	991
1	290	952
2	1142	843
done	5000	821

prune384.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.0b	(+ (* 27.0 (* a b)) (- (* x 2.0) (* (* y 9.0) (* z t))))
0.3b	(* 27.0 (* a b))
4.5b	(* (* y 9.0) (* z t))

rewrite111.0ms

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:

12.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
47.0ms	(+ (* 27.0 (* a b)) (- (* x 2.0) (* (* y 9.0) (* z t))))
18.0ms	(* 27.0 (* a b))
31.0ms	(* (* y 9.0) (* z t))

series499.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
265.0ms	(+ (* 27.0 (* a b)) (- (* x 2.0) (* (* y 9.0) (* z t))))
42.0ms	(* 27.0 (* a b))
44.0ms	(* (* y 9.0) (* z t))

simplify1.3s

Counts

91 → 91

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	147	1231
1	400	1123
2	1588	1012
done	5001	1007

prune398.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes773.0ms

Accuracy

89.5% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.6b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	64
1	45	64
done	45	64

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s

11015×

body

valid