Details

sample190.0ms

Algorithm

intervals

Results

103.0ms

512×

body

valid

simplify36.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (248.0ms)

Iter	Nodes	Cost
0	28	31
1	95	29
2	1004	27
done	5000	27

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* x 18.0) y)
4.6b	(* (* (* (* x 18.0) y) z) t)
4.8b	(* (* (* x 18.0) y) z)

rewrite378.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

36.0ms	(* (* j 27.0) k)
30.0ms	(* (* x 18.0) y)
218.0ms	(* (* (* (* x 18.0) y) z) t)
87.0ms	(* (* (* x 18.0) y) z)

series160.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* j 27.0) k)
29.0ms	(* (* x 18.0) y)
72.0ms	(* (* (* (* x 18.0) y) z) t)
34.0ms	(* (* (* x 18.0) y) z)

simplify2.6s

Counts

101 → 101

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	145	974
1	815	944
done	5001	738

prune506.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t))
0.2b	(* (* j 27.0) k)
0.2b	(* (* x 18.0) y)
7.5b	(* (* (* x 18.0) y) (* z t))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-r`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

4 → 86

Calls

4 calls:

76.0ms	(- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t))
20.0ms	(* (* j 27.0) k)
20.0ms	(* (* x 18.0) y)
107.0ms	(* (* (* x 18.0) y) (* z t))

series263.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t))
21.0ms	(* (* j 27.0) k)
31.0ms	(* (* x 18.0) y)
61.0ms	(* (* (* x 18.0) y) (* z t))

simplify2.7s

Counts

98 → 98

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	161	1188
1	870	1131
done	5000	897

prune461.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* x 18.0) y)
2.2b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.8b	(* (* (* x 18.0) y) z)

rewrite500.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`sub-neg` `associate-*r/` `prod-diff`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

17.0ms	(* (* j 27.0) k)
18.0ms	(* (* x 18.0) y)
362.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
97.0ms	(* (* (* x 18.0) y) z)

series296.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* j 27.0) k)
32.0ms	(* (* x 18.0) y)
183.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
58.0ms	(* (* (* x 18.0) y) z)

simplify2.4s

Counts

103 → 103

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	175	1127
1	1035	1090
done	5000	931

prune667.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* x (* 18.0 y)) (* z t)) (* (* a 4.0) t))
0.2b	(* (* j 27.0) k)
0.2b	(* x (* 18.0 y))
7.5b	(* (* x (* 18.0 y)) (* z t))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

4 → 86

Calls

4 calls:

71.0ms	(- (* (* x (* 18.0 y)) (* z t)) (* (* a 4.0) t))
25.0ms	(* (* j 27.0) k)
18.0ms	(* x (* 18.0 y))
56.0ms	(* (* x (* 18.0 y)) (* z t))

series287.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(- (* (* x (* 18.0 y)) (* z t)) (* (* a 4.0) t))
28.0ms	(* (* j 27.0) k)
27.0ms	(* x (* 18.0 y))
70.0ms	(* (* x (* 18.0 y)) (* z t))

simplify2.5s

Counts

98 → 98

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	159	1187
1	819	1132
done	5001	898

prune466.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes1.5s

Accuracy

69.3% (1.7b remaining)

Error of 1.9b against oracle of 0.1b and baseline of 5.7b

bsearch373.0ms

Steps

Iters	Range		Point
8	1.0077154892812141e-51	2.5722646923733512e-48	2.3115122350543716e-51
6	-4.1501676413993586e-08	-5.67055232401073e-09	-2.1951557118091558e-08

simplify8.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	47	115
1	71	78
done	71	78

end0.0ms

sample5.2s

Algorithm

intervals

Results

3.5s

15963×

body

valid