Details

sample153.0ms

Algorithm

intervals

Results

107.0ms

521×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
6	2452
5	1745
4	1125
3	543
2	196
1	66
0	28

prune51.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (* x i))
0.3b	(* (* 27.0 j) k)
5.0b	(* (- (* (* x 18.0) (* y z)) (* a 4.0)) t)
5.2b	(* (* x 18.0) (* y z))

rewrite218.0ms

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` `insert-posit16` `add-log-exp`
2×	`associate-*l/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

14.0ms	(* 4.0 (* x i))
17.0ms	(* (* 27.0 j) k)
131.0ms	(* (- (* (* x 18.0) (* y z)) (* a 4.0)) t)
55.0ms	(* (* x 18.0) (* y z))

series235.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* 4.0 (* x i))
29.0ms	(* (* 27.0 j) k)
135.0ms	(* (- (* (* x 18.0) (* y z)) (* a 4.0)) t)
48.0ms	(* (* x 18.0) (* y z))

simplify3.3s

Counts

94 → 94

Iterations

Iter	Nodes
3	6417
2	1535
1	441
0	170

prune2.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.3b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (* x i))
0.3b	(* 27.0 (* j k))
5.0b	(* (- (* (* x 18.0) (* y z)) (* a 4.0)) t)
5.2b	(* (* x 18.0) (* y z))

rewrite171.0ms

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-l`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*l/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

19.0ms	(* 4.0 (* x i))
16.0ms	(* 27.0 (* j k))
97.0ms	(* (- (* (* x 18.0) (* y z)) (* a 4.0)) t)
38.0ms	(* (* x 18.0) (* y z))

series254.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* 4.0 (* x i))
31.0ms	(* 27.0 (* j k))
154.0ms	(* (- (* (* x 18.0) (* y z)) (* a 4.0)) t)
38.0ms	(* (* x 18.0) (* y z))

simplify2.4s

Counts

94 → 94

Iterations

Iter	Nodes
3	5595
2	1473
1	428
0	167

prune2.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.3b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* x (* z y)))
0.3b	(* (* 27.0 j) k)
5.0b	(* (- (* 18.0 (* x (* z y))) (* a 4.0)) t)
5.1b	(* x (* z y))

rewrite293.0ms

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` `insert-posit16` `add-log-exp`
2×	`associate-*l/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

66.0ms	(* 18.0 (* x (* z y)))
21.0ms	(* (* 27.0 j) k)
170.0ms	(* (- (* 18.0 (* x (* z y))) (* a 4.0)) t)
33.0ms	(* x (* z y))

series257.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* 18.0 (* x (* z y)))
32.0ms	(* (* 27.0 j) k)
129.0ms	(* (- (* 18.0 (* x (* z y))) (* a 4.0)) t)
51.0ms	(* x (* z y))

simplify2.7s

Counts

93 → 93

Iterations

Iter	Nodes
3	5535
2	1294
1	373
0	147

prune2.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.3b

localize65.0ms

Local error

Found 4 expressions with local error:

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

rewrite297.0ms

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-r`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-l`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*l/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

71.0ms	(* 18.0 (* (* x z) y))
27.0ms	(* (* 27.0 j) k)
15.0ms	(* (* x z) y)
182.0ms	(* (- (* 18.0 (* (* x z) y)) (* a 4.0)) t)

series250.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* 18.0 (* (* x z) y))
23.0ms	(* (* 27.0 j) k)
47.0ms	(* (* x z) y)
138.0ms	(* (- (* 18.0 (* (* x z) y)) (* a 4.0)) t)

simplify3.6s

Counts

93 → 93

Iterations

Iter	Nodes
3	6117
2	1424
1	400
0	151

prune2.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 4.3b

regimes1.3s

Accuracy

30.6% (2.9b remaining)

Error of 4.8b against oracle of 1.9b and baseline of 6.1b

bsearch230.0ms

Steps

Iters	Range		Point
7	-1.565145524626111e+38	-1.1593995580640188e+36	-4.699495481705561e+36

simplify6.0ms

Iterations

Iter	Nodes
2	52
1	52
0	36

end0.0ms

sample6.4s

Algorithm

intervals

Results

5.0s

16060×

body

valid