Details

sample52.0ms

Algorithm

intervals

Results

20.0ms

368×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	17
1	34	17
2	80	17
3	210	17
4	323	17
5	334	17
6	343	17
7	366	17
8	445	17
9	491	17
done	491	17

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize20.0ms

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)

rewrite164.0ms

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`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-l` `*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 72

Calls

4 calls:

45.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
23.0ms	(* (* a 27.0) b)
32.0ms	(* (* y 9.0) z)
60.0ms	(* (* (* y 9.0) z) t)

series270.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
22.0ms	(* (* a 27.0) b)
20.0ms	(* (* y 9.0) z)
32.0ms	(* (* (* y 9.0) z) t)

simplify1.3s

Counts

84 → 84

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	140	981
1	365	944
2	1544	802
done	5001	796

prune326.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

49.0ms	(+ (- (* x 2.0) (* (* y (* z 9.0)) t)) (* (* a 27.0) b))
25.0ms	(* y (* z 9.0))
28.0ms	(* (* a 27.0) b)
48.0ms	(* (* y (* z 9.0)) t)

series291.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(+ (- (* x 2.0) (* (* y (* z 9.0)) t)) (* (* a 27.0) b))
27.0ms	(* y (* z 9.0))
28.0ms	(* (* a 27.0) b)
37.0ms	(* (* y (* z 9.0)) t)

simplify1.3s

Counts

84 → 84

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	138	980
1	358	945
2	1533	803
done	5000	797

prune294.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y (* z 9.0)) t)) (pow (* 27.0 (* a b)) 1))
0.2b	(* y (* z 9.0))
0.3b	(* 27.0 (* a b))
4.9b	(* (* y (* z 9.0)) t)

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`*-un-lft-identity` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `associate-l`
5×	`associate-r`
3×	`*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+` `distribute-lft-out`

Counts

4 → 73

Calls

4 calls:

36.0ms	(+ (- (* x 2.0) (* (* y (* z 9.0)) t)) (pow (* 27.0 (* a b)) 1))
24.0ms	(* y (* z 9.0))
31.0ms	(* 27.0 (* a b))
63.0ms	(* (* y (* z 9.0)) t)

series297.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(+ (- (* x 2.0) (* (* y (* z 9.0)) t)) (pow (* 27.0 (* a b)) 1))
22.0ms	(* y (* z 9.0))
29.0ms	(* 27.0 (* a b))
41.0ms	(* (* y (* z 9.0)) t)

simplify1.2s

Counts

85 → 85

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	137	1040
1	351	957
2	1446	815
done	5001	805

prune325.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (* z 9.0))
0.2b	(* (sqrt 27.0) (* a b))
0.3b	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
4.9b	(* (* y (* z 9.0)) t)

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`associate-l`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `sqrt-prod`
4×	`*-commutative` `add-log-exp`

Counts

4 → 84

Calls

4 calls:

29.0ms	(* y (* z 9.0))
36.0ms	(* (sqrt 27.0) (* a b))
56.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
59.0ms	(* (* y (* z 9.0)) t)

series197.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* y (* z 9.0))
52.0ms	(* (sqrt 27.0) (* a b))
85.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
35.0ms	(* (* y (* z 9.0)) t)

simplify1.5s

Counts

96 → 96

Iterations

Useful iterations: 2 (225.0ms)

Iter	Nodes	Cost
0	125	938
1	319	797
2	1325	635
done	5000	635

prune319.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes953.0ms

Accuracy

62.2% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 3.5b

bsearch230.0ms

Steps

Iters	Range		Point
8	1.3545923338427428e-81	4.78840702238613e-78	6.098358871993371e-79
8	-1.2104435359073297e-186	-3.223401234048309e-189	-5.676106603176618e-187

simplify7.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	40	65
1	61	63
done	61	63

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

10972×

body

valid