Details

sample102.0ms

Algorithm

intervals

Results

54.0ms

488×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1710
3	614
2	201
1	66
0	28

prune41.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.3b

localize64.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* z 18.0))
0.3b	(* j (* k 27.0))
4.1b	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
4.8b	(* y (* x (* z 18.0)))

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-l`
11×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`*-commutative` `add-log-exp`
2×	`associate-*l/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

21.0ms	(* x (* z 18.0))
12.0ms	(* j (* k 27.0))
213.0ms	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
46.0ms	(* y (* x (* z 18.0)))

series268.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* x (* z 18.0))
29.0ms	(* j (* k 27.0))
154.0ms	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
55.0ms	(* y (* x (* z 18.0)))

simplify1.4s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1727
1	370
0	145

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.9b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* z 18.0))
0.3b	(* 27.0 (* j k))
4.1b	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
4.8b	(* y (* x (* z 18.0)))

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-l`
11×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`*-commutative` `add-log-exp`
2×	`associate-*l/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

24.0ms	(* x (* z 18.0))
22.0ms	(* 27.0 (* j k))
166.0ms	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
51.0ms	(* y (* x (* z 18.0)))

series273.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* x (* z 18.0))
38.0ms	(* 27.0 (* j k))
151.0ms	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
47.0ms	(* y (* x (* z 18.0)))

simplify1.3s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1670
1	367
0	144

prune894.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.9b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* x i) 4.0)
0.3b	(* j (* k 27.0))
4.1b	(* (* y z) (* 18.0 x))
4.1b	(* t (- (* (* y z) (* 18.0 x)) (* a 4.0)))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

23.0ms	(* (* x i) 4.0)
24.0ms	(* j (* k 27.0))
40.0ms	(* (* y z) (* 18.0 x))
96.0ms	(* t (- (* (* y z) (* 18.0 x)) (* a 4.0)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* x i) 4.0)
21.0ms	(* j (* k 27.0))
46.0ms	(* (* y z) (* 18.0 x))
138.0ms	(* t (- (* (* y z) (* 18.0 x)) (* a 4.0)))

simplify1.4s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
2	2299
1	460
0	171

prune834.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.9b

localize88.0ms

Local error

Found 4 expressions with local error:

4.1b	(* (* y z) (* 18.0 x))
4.1b	(* t (- (* (* y z) (* 18.0 x)) (* a 4.0)))
4.1b	(* t (- (* (* y z) (* 18.0 x)) (* a 4.0)))
4.1b	(* t (- (* (* y z) (* 18.0 x)) (* a 4.0)))

rewrite413.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`add-sqr-sqrt`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
4×	`*-commutative` `add-log-exp`
3×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

38.0ms	(* (* y z) (* 18.0 x))
105.0ms	(* t (- (* (* y z) (* 18.0 x)) (* a 4.0)))
105.0ms	(* t (- (* (* y z) (* 18.0 x)) (* a 4.0)))
160.0ms	(* t (- (* (* y z) (* 18.0 x)) (* a 4.0)))

series497.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* y z) (* 18.0 x))
158.0ms	(* t (- (* (* y z) (* 18.0 x)) (* a 4.0)))
145.0ms	(* t (- (* (* y z) (* 18.0 x)) (* a 4.0)))
160.0ms	(* t (- (* (* y z) (* 18.0 x)) (* a 4.0)))

simplify1.3s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	1220
1	276
0	101

prune1.0s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 2.9b

regimes2.9s

Accuracy

31.8% (2.5b remaining)

Error of 4.5b against oracle of 2.0b and baseline of 5.7b

bsearch574.0ms

Steps

Iters	Range		Point
6	1.0909778009685074e-115	4.646879573910802e-115	3.1390973848175545e-115
7	-3.162965753782051e-172	-2.2975351569061484e-174	-9.206800721396284e-173

simplify12.0ms

Iterations

Iter	Nodes
done	66
3	66
2	63
1	53
0	37

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.8s

15952×

body

valid