Details

sample60.0ms

Algorithm

intervals

Results

26.0ms

354×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (18.0ms)

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* y 9.0) z)
0.2b	(* (* a 27.0) b)
7.7b	(* (* (* y 9.0) z) t)

rewrite180.0ms

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:

54.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
27.0ms	(* (* y 9.0) z)
29.0ms	(* (* a 27.0) b)
67.0ms	(* (* (* y 9.0) z) t)

series303.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
27.0ms	(* (* y 9.0) z)
30.0ms	(* (* a 27.0) b)
43.0ms	(* (* (* y 9.0) z) t)

simplify2.3s

Counts

96 → 96

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	152	1078
1	401	1038
2	2617	889
done	5000	885

prune288.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* t z))) (* (* a 27.0) b))
0.0b	(- (* x 2.0) (* (* y 9.0) (* t z)))
0.2b	(* (* a 27.0) b)
4.4b	(* (* y 9.0) (* t z))

rewrite99.0ms

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-r` `log1p-expm1-u`
3×	`associate-+l+` `fma-def`
2×	`sub-neg` `diff-log` `associate-l` `prod-diff` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `fma-neg` `flip--` `flip-+`

Counts

4 → 81

Calls

4 calls:

35.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* t z))) (* (* a 27.0) b))
10.0ms	(- (* x 2.0) (* (* y 9.0) (* t z)))
25.0ms	(* (* a 27.0) b)
28.0ms	(* (* y 9.0) (* t z))

series285.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* t z))) (* (* a 27.0) b))
76.0ms	(- (* x 2.0) (* (* y 9.0) (* t z)))
21.0ms	(* (* a 27.0) b)
33.0ms	(* (* y 9.0) (* t z))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	152	1246
1	418	1162
2	2367	1028
done	5000	1026

prune325.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* y (* 9.0 (* t z))))
0.2b	(* (* a 27.0) b)
0.3b	(* 9.0 (* t z))
4.3b	(* y (* 9.0 (* t z)))

rewrite116.0ms

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:

13.0ms	(- (* x 2.0) (* y (* 9.0 (* t z))))
25.0ms	(* (* a 27.0) b)
23.0ms	(* 9.0 (* t z))
52.0ms	(* y (* 9.0 (* t z)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(- (* x 2.0) (* y (* 9.0 (* t z))))
28.0ms	(* (* a 27.0) b)
30.0ms	(* 9.0 (* t z))
31.0ms	(* y (* 9.0 (* t z)))

simplify1.2s

Counts

91 → 91

Iterations

Useful iterations: 2 (229.0ms)

Iter	Nodes	Cost
0	141	908
1	360	867
2	1831	742
done	5000	742

prune290.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 27.0 (* a b))
1.7b	(fma (* t z) (fma 9.0 (- y) (* y 9.0)) (* 27.0 (* a b)))
4.4b	(* (* t z) (* y 9.0))
53.4b	(fma 9.0 (- y) (* y 9.0))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `*-commutative` `fma-udef`

Counts

4 → 64

Calls

4 calls:

24.0ms	(* 27.0 (* a b))
0.0ms	(fma (* t z) (fma 9.0 (- y) (* y 9.0)) (* 27.0 (* a b)))
39.0ms	(* (* t z) (* y 9.0))
1.0ms	(fma 9.0 (- y) (* y 9.0))

series230.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* 27.0 (* a b))
119.0ms	(fma (* t z) (fma 9.0 (- y) (* y 9.0)) (* 27.0 (* a b)))
31.0ms	(* (* t z) (* y 9.0))
50.0ms	(fma 9.0 (- y) (* y 9.0))

simplify1.1s

Counts

76 → 76

Iterations

Useful iterations: 2 (167.0ms)

Iter	Nodes	Cost
0	112	776
1	253	765
2	1080	598
done	5000	598

prune334.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes441.0ms

Accuracy

77.9% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.6b

bsearch1.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	78
1	59	78
2	72	78
done	72	78

end0.0ms

sample1.7s

Algorithm

intervals

Results

857.0ms

11065×

body

valid