Details

sample46.0ms

Algorithm

intervals

Results

20.0ms

339×

body

valid

simplify5.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	329
1	34	329
2	80	329
3	214	329
4	414	329
5	906	329
6	4208	329
done	5000	329

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize43.0ms

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)
7.2b	(* (* (* y 9.0) z) t)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

23.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
14.0ms	(* (* y 9.0) z)
14.0ms	(* (* a 27.0) b)
45.0ms	(* (* (* y 9.0) z) t)

series252.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
19.0ms	(* (* y 9.0) z)
22.0ms	(* (* a 27.0) b)
30.0ms	(* (* (* y 9.0) z) t)

simplify1.8s

Counts

84 → 84

Iterations

Useful iterations: 2 (552.0ms)

Iter	Nodes	Cost
0	140	18024
1	379	16550
2	2477	15990
done	5000	15990

prune521.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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))
0.2b	(* (* a 27.0) b)
6.9b	(* (* y 9.0) (* z t))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

14.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
37.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
16.0ms	(* (* a 27.0) b)
26.0ms	(* (* y 9.0) (* z t))

series321.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
177.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
29.0ms	(* (* a 27.0) b)
29.0ms	(* (* y 9.0) (* z t))

simplify1.7s

Counts

79 → 79

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	138	19964
1	385	18271
2	2004	17431
done	5002	17311

prune430.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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))
6.9b	(* (* y 9.0) (* z t))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

10.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
30.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* 27.0 (* a b)))
12.0ms	(* 27.0 (* a b))
25.0ms	(* (* y 9.0) (* z t))

series337.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
170.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* 27.0 (* a b)))
28.0ms	(* 27.0 (* a b))
38.0ms	(* (* y 9.0) (* z t))

simplify1.4s

Counts

79 → 79

Iterations

Useful iterations: 2 (403.0ms)

Iter	Nodes	Cost
0	133	19924
1	366	18272
2	1484	17312
done	5001	17312

prune506.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* 27.0 (* a b)))
0.3b	(* 27.0 (* a b))
0.3b	(* 9.0 (* z t))
6.8b	(* y (* 9.0 (* z t)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

26.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* 27.0 (* a b)))
17.0ms	(* 27.0 (* a b))
18.0ms	(* 9.0 (* z t))
38.0ms	(* y (* 9.0 (* z t)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* 27.0 (* a b)))
29.0ms	(* 27.0 (* a b))
20.0ms	(* 9.0 (* z t))
36.0ms	(* y (* 9.0 (* z t)))

simplify1.4s

Counts

84 → 84

Iterations

Useful iterations: 2 (334.0ms)

Iter	Nodes	Cost
0	132	17904
1	340	16553
2	1413	15633
done	5000	15633

prune322.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes1.6s

Accuracy

72.8% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 4.0b

bsearch169.0ms

Steps

Iters	Range		Point
9	9.19478238943207e-74	3.596358564469924e-66	6.68490492835333e-67
5	-5.786095538357056e-143	-2.524578231427017e-143	-5.710514206256463e-143

simplify11.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	30	871
1	46	871
done	46	871

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.3s

11115×

body

valid