Details

sample46.0ms

Algorithm

intervals

Results

21.0ms

360×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	17	17
1	35	17
2	90	16
3	244	16
4	500	16
5	620	16
6	695	16
7	732	16
8	849	16
9	1237	16
10	1241	16
done	1241	16

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.6b

localize12.0ms

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)
0.5b	(* (* a 27.0) b)
5.6b	(* (* (* y 9.0) z) t)

rewrite51.0ms

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:

12.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
9.0ms	(* (* y 9.0) z)
6.0ms	(* (* a 27.0) b)
21.0ms	(* (* (* y 9.0) z) t)

series211.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
17.0ms	(* (* y 9.0) z)
20.0ms	(* (* a 27.0) b)
25.0ms	(* (* (* y 9.0) z) t)

simplify1.4s

Counts

96 → 96

Iterations

Useful iterations: 2 (400.0ms)

Iter	Nodes	Cost
0	152	1078
1	391	1038
2	1713	880
done	5001	880

prune256.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
0.5b	(* (* a 27.0) b)
5.5b	(* (* y 9.0) (* z t))

rewrite36.0ms

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:

3.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
15.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
6.0ms	(* (* a 27.0) b)
10.0ms	(* (* y 9.0) (* z t))

series270.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
152.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
20.0ms	(* (* a 27.0) b)
26.0ms	(* (* y 9.0) (* z t))

simplify962.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (193.0ms)

Iter	Nodes	Cost
0	152	1246
1	419	1162
2	1785	1028
done	5001	1028

prune260.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* a (* 27.0 b)))
0.3b	(* a (* 27.0 b))
5.5b	(* (* y 9.0) (* z t))

rewrite33.0ms

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:

3.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
13.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* a (* 27.0 b)))
6.0ms	(* a (* 27.0 b))
10.0ms	(* (* y 9.0) (* z t))

series267.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
149.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* a (* 27.0 b)))
20.0ms	(* a (* 27.0 b))
26.0ms	(* (* y 9.0) (* z t))

simplify854.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (160.0ms)

Iter	Nodes	Cost
0	149	1243
1	410	1161
2	1665	1027
done	5000	1027

prune279.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* 27.0 (* a b)))
0.3b	(* 27.0 (* a b))
5.5b	(* (* y 9.0) (* z t))

rewrite33.0ms

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:

3.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
13.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* 27.0 (* a b)))
6.0ms	(* 27.0 (* a b))
10.0ms	(* (* y 9.0) (* z t))

series275.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
150.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* 27.0 (* a b)))
23.0ms	(* 27.0 (* a b))
27.0ms	(* (* y 9.0) (* z t))

simplify882.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (164.0ms)

Iter	Nodes	Cost
0	147	1243
1	406	1161
2	1618	1027
done	5000	1027

prune250.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes584.0ms

Accuracy

88.5% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.8b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	29	67
1	44	51
done	44	51

end0.0ms

sample795.0ms

Algorithm

intervals

Results

434.0ms

11060×

body

valid