Details

sample124.0ms

Algorithm

intervals

Results

52.0ms

500×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3800
3	809
2	221
1	67
0	28

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* 27.0 j) k)
6.3b	(* t (* (* (* x 18.0) y) z))
6.9b	(* (* (* x 18.0) y) z)

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

21.0ms	(* (* x 18.0) y)
21.0ms	(* (* 27.0 j) k)
140.0ms	(* t (* (* (* x 18.0) y) z))
71.0ms	(* (* (* x 18.0) y) z)

series199.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* x 18.0) y)
35.0ms	(* (* 27.0 j) k)
82.0ms	(* t (* (* (* x 18.0) y) z))
51.0ms	(* (* (* x 18.0) y) z)

simplify1.8s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2779
1	374
0	142

prune913.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.3b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 27.0 j) k)
0.3b	(* 18.0 (* t (* x (* z y))))
4.7b	(* x (* z y))
6.4b	(* t (* x (* z y)))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

21.0ms	(* (* 27.0 j) k)
111.0ms	(* 18.0 (* t (* x (* z y))))
23.0ms	(* x (* z y))
65.0ms	(* t (* x (* z y)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* 27.0 j) k)
78.0ms	(* 18.0 (* t (* x (* z y))))
33.0ms	(* x (* z y))
95.0ms	(* t (* x (* z y)))

simplify1.3s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	1656
1	329
0	131

prune922.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma t a (* x i)) (* (* 27.0 j) k))
0.2b	(* (* 27.0 j) k)
0.3b	(* 18.0 (* (* t x) (* z y)))
8.4b	(* (* t x) (* z y))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-cbrt-cube` `add-exp-log`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 83

Calls

4 calls:

1.0ms	(fma 4.0 (fma t a (* x i)) (* (* 27.0 j) k))
16.0ms	(* (* 27.0 j) k)
102.0ms	(* 18.0 (* (* t x) (* z y)))
50.0ms	(* (* t x) (* z y))

series379.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(fma 4.0 (fma t a (* x i)) (* (* 27.0 j) k))
43.0ms	(* (* 27.0 j) k)
106.0ms	(* 18.0 (* (* t x) (* z y)))
71.0ms	(* (* t x) (* z y))

simplify1.9s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	2018
1	368
0	143

prune992.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 27.0 j) k)
0.3b	(* 18.0 (* (* (* t x) z) y))
5.1b	(* (* t x) z)
5.7b	(* (* (* t x) z) y)

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

14.0ms	(* (* 27.0 j) k)
170.0ms	(* 18.0 (* (* (* t x) z) y))
20.0ms	(* (* t x) z)
77.0ms	(* (* (* t x) z) y)

series234.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* 27.0 j) k)
68.0ms	(* 18.0 (* (* (* t x) z) y))
57.0ms	(* (* t x) z)
75.0ms	(* (* (* t x) z) y)

simplify1.6s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2423
1	365
0	139

prune994.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes2.0s

Accuracy

-7.6% (4.0b remaining)

Error of 4.4b against oracle of 0.4b and baseline of 4.1b

bsearch361.0ms

Steps

Iters	Range		Point
7	3.465434217249615e+37	1.2544654758234561e+39	3.2470609078526774e+38
8	2.395478891579821e-237	2.29295354941716e-233	5.68240993781648e-235

simplify14.0ms

Iterations

Iter	Nodes
done	61
1	61
0	45

end0.0ms

sample4.9s

Algorithm

intervals

Results

3.6s

16152×

body

valid