Details

sample120.0ms

Algorithm

intervals

Results

60.0ms

486×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

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

prune43.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.6b

localize74.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* z 18.0))
0.2b	(* j (* k 27.0))
3.4b	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
4.1b	(* y (* x (* z 18.0)))

rewrite208.0ms

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:

14.0ms	(* x (* z 18.0))
12.0ms	(* j (* k 27.0))
143.0ms	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
35.0ms	(* y (* x (* z 18.0)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* x (* z 18.0))
31.0ms	(* j (* k 27.0))
138.0ms	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
49.0ms	(* y (* x (* z 18.0)))

simplify902.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1727
1	370
0	145

prune869.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.2b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* z 18.0))
0.2b	(* (* j k) 27.0)
3.4b	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
4.1b	(* y (* x (* z 18.0)))

rewrite318.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

12.0ms	(* x (* z 18.0))
22.0ms	(* (* j k) 27.0)
227.0ms	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
55.0ms	(* y (* x (* z 18.0)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* x (* z 18.0))
23.0ms	(* (* j k) 27.0)
122.0ms	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
36.0ms	(* y (* x (* z 18.0)))

simplify916.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1996
1	384
0	147

prune944.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.2b

localize69.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* z x))
0.2b	(* (* j k) 27.0)
3.4b	(* (- (* y (pow (* 18.0 (* z x)) 1)) (* a 4.0)) t)
4.1b	(* y (pow (* 18.0 (* z x)) 1))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
18×	`add-cbrt-cube`
17×	`pow1`
15×	`add-sqr-sqrt` `prod-exp`
12×	`associate-r`
10×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
8×	`pow-prod-down` `cbrt-unprod`
4×	`*-commutative` `add-log-exp`
3×	`pow-exp` `unswap-sqr`
2×	`associate-*l/` `sqr-pow`
1×	`pow-to-exp` `unpow-prod-down` `flip3--` `flip--`

Counts

4 → 81

Calls

4 calls:

13.0ms	(* 18.0 (* z x))
14.0ms	(* (* j k) 27.0)
56.0ms	(* (- (* y (pow (* 18.0 (* z x)) 1)) (* a 4.0)) t)
16.0ms	(* y (pow (* 18.0 (* z x)) 1))

series234.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* 18.0 (* z x))
23.0ms	(* (* j k) 27.0)
150.0ms	(* (- (* y (pow (* 18.0 (* z x)) 1)) (* a 4.0)) t)
30.0ms	(* y (pow (* 18.0 (* z x)) 1))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
2	2434
1	433
0	168

prune943.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.2b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* x i) 4.0)
0.2b	(* (* j k) 27.0)
3.4b	(* (- (* (* z x) (* y 18.0)) (* a 4.0)) t)
4.2b	(* (* z x) (* y 18.0))

rewrite181.0ms

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` `associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`associate-*l/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

14.0ms	(* (* x i) 4.0)
14.0ms	(* (* j k) 27.0)
109.0ms	(* (- (* (* z x) (* y 18.0)) (* a 4.0)) t)
41.0ms	(* (* z x) (* y 18.0))

series283.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* x i) 4.0)
40.0ms	(* (* j k) 27.0)
147.0ms	(* (- (* (* z x) (* y 18.0)) (* a 4.0)) t)
53.0ms	(* (* z x) (* y 18.0))

simplify1.3s

Counts

90 → 90

Iterations

Iter	Nodes
done	5002
2	2406
1	452
0	168

prune698.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.0b

regimes2.1s

Accuracy

11.1% (4.1b remaining)

Error of 5.1b against oracle of 1.0b and baseline of 5.6b

bsearch781.0ms

Steps

Iters	Range		Point
8	1.6933877026611488e-212	6.847408780154579e-209	3.0667417729961783e-209
7	-7.015928211227965e-270	-1.2728789618771936e-271	-5.563520560047814e-270
6	-1.5422998554626255e-180	-2.8386728529597577e-181	-2.8842737632402465e-181
9	-3336789491772064.5	-33335985279.904182	-4255057376079.225

simplify28.0ms

Iterations

Iter	Nodes
done	89
4	89
3	83
2	77
1	73
0	51

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.8s

16234×

body

valid