Details

sample114.0ms

Algorithm

intervals

Results

72.0ms

500×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

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

prune42.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.3b

localize73.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* k 27.0))
0.3b	(* x (* z 18.0))
3.1b	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
5.0b	(* y (* x (* z 18.0)))

rewrite252.0ms

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:

20.0ms	(* j (* k 27.0))
23.0ms	(* x (* z 18.0))
144.0ms	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
60.0ms	(* y (* x (* z 18.0)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* j (* k 27.0))
31.0ms	(* x (* z 18.0))
124.0ms	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
37.0ms	(* y (* x (* z 18.0)))

simplify1.5s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1728
1	370
0	145

prune834.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.4b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 27.0 (* j k))
0.3b	(* x (* z 18.0))
3.1b	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
5.0b	(* y (* x (* z 18.0)))

rewrite229.0ms

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:

12.0ms	(* 27.0 (* j k))
18.0ms	(* x (* z 18.0))
166.0ms	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
31.0ms	(* y (* x (* z 18.0)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* 27.0 (* j k))
37.0ms	(* x (* z 18.0))
152.0ms	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
39.0ms	(* y (* x (* z 18.0)))

simplify1.4s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1664
1	366
0	144

prune891.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.4b

localize81.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* z 18.0))
0.3b	(* (sqrt 27.0) (* j k))
3.1b	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
5.0b	(* y (* x (* z 18.0)))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

16.0ms	(* x (* z 18.0))
16.0ms	(* (sqrt 27.0) (* j k))
127.0ms	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
46.0ms	(* y (* x (* z 18.0)))

series279.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* x (* z 18.0))
56.0ms	(* (sqrt 27.0) (* j k))
147.0ms	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
51.0ms	(* y (* x (* z 18.0)))

simplify1.3s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1688
1	381
0	150

prune883.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.4b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 18.0 (* y z))
0.3b	(* (sqrt 27.0) (* j k))
3.1b	(* t (- (* (* 18.0 (* y z)) x) (* a 4.0)))
4.7b	(* (* 18.0 (* y z)) x)

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

12.0ms	(* 18.0 (* y z))
16.0ms	(* (sqrt 27.0) (* j k))
158.0ms	(* t (- (* (* 18.0 (* y z)) x) (* a 4.0)))
50.0ms	(* (* 18.0 (* y z)) x)

series257.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* 18.0 (* y z))
58.0ms	(* (sqrt 27.0) (* j k))
135.0ms	(* t (- (* (* 18.0 (* y z)) x) (* a 4.0)))
29.0ms	(* (* 18.0 (* y z)) x)

simplify1.7s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	2118
1	415
0	157

prune877.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.4b

regimes2.7s

Accuracy

46.8% (2.4b remaining)

Error of 4.4b against oracle of 2.1b and baseline of 6.5b

bsearch372.0ms

Steps

Iters	Range		Point
10	1.3974485827385925e-195	1.2086992059999926e-178	4.8488130465289504e-188
5	-9.754940894274486e-54	-3.6718885933928975e-54	-4.8046756117980754e-54

simplify17.0ms

Iterations

Iter	Nodes
done	76
3	76
2	73
1	66
0	44

end0.0ms

sample5.2s

Algorithm

intervals

Results

3.9s

16152×

body

valid