Details

sample53.0ms

Algorithm

intervals

Results

26.0ms

368×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (23.0ms)

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.4b	(* (* y 9.0) z)
4.9b	(* (* (* y 9.0) z) t)

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

38.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
31.0ms	(* (* a 27.0) b)
25.0ms	(* (* y 9.0) z)
91.0ms	(* (* (* y 9.0) z) t)

series326.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
25.0ms	(* (* a 27.0) b)
23.0ms	(* (* y 9.0) z)
49.0ms	(* (* (* y 9.0) z) t)

simplify1.7s

Counts

96 → 96

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	152	1078
1	386	1038
2	1664	888
done	5001	868

prune387.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* y (* 9.0 z)) t))
0.2b	(* y (* 9.0 z))
0.2b	(* (* a 27.0) b)
4.9b	(* (* y (* 9.0 z)) t)

rewrite153.0ms

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:

19.0ms	(- (* x 2.0) (* (* y (* 9.0 z)) t))
29.0ms	(* y (* 9.0 z))
20.0ms	(* (* a 27.0) b)
80.0ms	(* (* y (* 9.0 z)) t)

series250.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(- (* x 2.0) (* (* y (* 9.0 z)) t))
33.0ms	(* y (* 9.0 z))
39.0ms	(* (* a 27.0) b)
56.0ms	(* (* y (* 9.0 z)) t)

simplify1.5s

Counts

91 → 91

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	144	913
1	363	870
2	1561	763
done	5001	741

prune368.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* y (* 9.0 z)) t))
0.2b	(* a (* 27.0 b))
0.2b	(* y (* 9.0 z))
4.9b	(* (* y (* 9.0 z)) t)

rewrite151.0ms

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-l*`
6×	`add-log-exp`
5×	`associate-r`
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:

16.0ms	(- (* x 2.0) (* (* y (* 9.0 z)) t))
29.0ms	(* a (* 27.0 b))
29.0ms	(* y (* 9.0 z))
72.0ms	(* (* y (* 9.0 z)) t)

series236.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(- (* x 2.0) (* (* y (* 9.0 z)) t))
36.0ms	(* a (* 27.0 b))
33.0ms	(* y (* 9.0 z))
55.0ms	(* (* y (* 9.0 z)) t)

simplify2.0s

Counts

91 → 91

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	142	910
1	356	869
2	1496	762
done	5001	740

prune433.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma 2.0 x (* 27.0 (* a b))) (* 9.0 (* t (* z y))))
0.3b	(* 9.0 (* t (* z y)))
0.3b	(* 27.0 (* a b))
4.8b	(* t (* z y))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

12.0ms	(- (fma 2.0 x (* 27.0 (* a b))) (* 9.0 (* t (* z y))))
86.0ms	(* 9.0 (* t (* z y)))
32.0ms	(* 27.0 (* a b))
27.0ms	(* t (* z y))

series351.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(- (fma 2.0 x (* 27.0 (* a b))) (* 9.0 (* t (* z y))))
35.0ms	(* 9.0 (* t (* z y)))
25.0ms	(* 27.0 (* a b))
40.0ms	(* t (* z y))

simplify1.2s

Counts

96 → 96

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	141	1143
1	332	1105
2	1251	940
done	5000	921

prune447.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes728.0ms

Accuracy

64.2% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 3.5b

bsearch229.0ms

Steps

Iters	Range		Point
8	3.2028074971084225e-31	1.9345804174447898e-28	1.1565088727090472e-29
8	-1.2104435359073297e-186	-3.223401234048309e-189	-5.676106603176618e-187

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	29	59
1	44	43
done	44	43

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s

10972×

body

valid