Details

sample41.0ms

Algorithm

intervals

Results

17.0ms

356×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize17.0ms

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	(* (* a 27.0) b)
5.9b	(* (* (* y 9.0) z) t)

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

8.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
18.0ms	(* (* y 9.0) z)
18.0ms	(* (* a 27.0) b)
86.0ms	(* (* (* y 9.0) z) t)

series162.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
20.0ms	(* (* y 9.0) z)
21.0ms	(* (* a 27.0) b)
41.0ms	(* (* (* y 9.0) z) t)

simplify1.4s

Counts

91 → 91

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	146	914
1	367	869
2	1522	762
done	5000	740

prune304.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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	(* a (* 27.0 b))
5.9b	(* (* (* y 9.0) z) t)

rewrite139.0ms

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:

14.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
30.0ms	(* (* y 9.0) z)
23.0ms	(* a (* 27.0 b))
69.0ms	(* (* (* y 9.0) z) t)

series187.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
27.0ms	(* (* y 9.0) z)
23.0ms	(* a (* 27.0 b))
41.0ms	(* (* (* y 9.0) z) t)

simplify1.3s

Counts

91 → 91

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	144	911
1	360	868
2	1454	761
done	5000	739

prune346.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-l`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`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 → 79

Calls

4 calls:

14.0ms	(- (* x 2.0) (* 9.0 (* t (* z y))))
18.0ms	(* a (* 27.0 b))
71.0ms	(* 9.0 (* t (* z y)))
27.0ms	(* t (* z y))

series190.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(- (* x 2.0) (* 9.0 (* t (* z y))))
23.0ms	(* a (* 27.0 b))
31.0ms	(* 9.0 (* t (* z y)))
29.0ms	(* t (* z y))

simplify1.2s

Counts

91 → 91

Iterations

Useful iterations: 2 (270.0ms)

Iter	Nodes	Cost
0	135	901
1	336	862
2	1274	733
done	5001	733

prune304.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

44.0ms	(+ (- (* x 2.0) (* (* 9.0 t) (* z y))) (* a (* 27.0 b)))
9.0ms	(- (* x 2.0) (* (* 9.0 t) (* z y)))
19.0ms	(* a (* 27.0 b))
45.0ms	(* (* 9.0 t) (* z y))

series369.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(+ (- (* x 2.0) (* (* 9.0 t) (* z y))) (* a (* 27.0 b)))
102.0ms	(- (* x 2.0) (* (* 9.0 t) (* z y)))
34.0ms	(* a (* 27.0 b))
48.0ms	(* (* 9.0 t) (* z y))

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	147	1243
1	396	1161
2	1626	1027
done	5001	1016

prune334.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes1.0s

Accuracy

80.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.6b

bsearch171.0ms

Steps

Iters	Range		Point
8	135400.83543190558	1309199140.3083105	525414192.57802635
5	-2.893404106319312e-31	-1.0884263236032897e-31	-2.767371119342816e-31

simplify14.0ms

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	38	61
1	59	59
done	59	59

end0.0ms

sample1.4s

Algorithm

intervals

Results

629.0ms

10933×

body

valid