Details

sample116.0ms

Algorithm

intervals

Results

54.0ms

510×

body

valid

simplify5.3s

Counts

1 → 1

Iterations

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

prune36.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize69.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* (* 27.0 j) k)
5.3b	(* t (* (* (* x 18.0) y) z))
5.8b	(* (* (* x 18.0) y) z)

rewrite252.0ms

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:

26.0ms	(* (* x 18.0) y)
25.0ms	(* (* 27.0 j) k)
146.0ms	(* t (* (* (* x 18.0) y) z))
50.0ms	(* (* (* x 18.0) y) z)

series177.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* x 18.0) y)
23.0ms	(* (* 27.0 j) k)
79.0ms	(* t (* (* (* x 18.0) y) z))
48.0ms	(* (* (* x 18.0) y) z)

simplify2.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2779
1	374
0	142

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* 27.0 (* j k))
5.3b	(* t (* (* (* x 18.0) y) z))
5.8b	(* (* (* x 18.0) y) z)

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

14.0ms	(* (* x 18.0) y)
14.0ms	(* 27.0 (* j k))
150.0ms	(* t (* (* (* x 18.0) y) z))
90.0ms	(* (* (* x 18.0) y) z)

series185.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* x 18.0) y)
43.0ms	(* 27.0 (* j k))
64.0ms	(* t (* (* (* x 18.0) y) z))
35.0ms	(* (* (* x 18.0) y) z)

simplify2.1s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	2408
1	359
0	139

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 27.0 j) k)
0.3b	(* 18.0 (* x y))
5.3b	(* t (* (* 18.0 (* x y)) z))
5.8b	(* (* 18.0 (* x y)) z)

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

23.0ms	(* (* 27.0 j) k)
12.0ms	(* 18.0 (* x y))
150.0ms	(* t (* (* 18.0 (* x y)) z))
82.0ms	(* (* 18.0 (* x y)) z)

series170.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* 27.0 j) k)
33.0ms	(* 18.0 (* x y))
56.0ms	(* t (* (* 18.0 (* x y)) z))
55.0ms	(* (* 18.0 (* x y)) z)

simplify1.7s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2220
1	364
0	138

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt 27.0) (* (sqrt 27.0) (* j k)))
0.3b	(* (sqrt 27.0) (* j k))
5.3b	(* t (* (* (* x 18.0) y) z))
5.8b	(* (* (* x 18.0) y) z)

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

59.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* j k)))
16.0ms	(* (sqrt 27.0) (* j k))
135.0ms	(* t (* (* (* x 18.0) y) z))
52.0ms	(* (* (* x 18.0) y) z)

series344.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* j k)))
67.0ms	(* (sqrt 27.0) (* j k))
71.0ms	(* t (* (* (* x 18.0) y) z))
60.0ms	(* (* (* x 18.0) y) z)

simplify1.5s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	2446
1	405
0	153

prune990.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.8b

regimes2.0s

Accuracy

76.4% (1.2b remaining)

Error of 1.8b against oracle of 0.6b and baseline of 5.9b

bsearch469.0ms

Steps

Iters	Range		Point
10	1.1818248072196e+18	1.5057667270109997e+28	5.233734057954218e+18
10	-5.309359592583672e+114	-5.495580528203896e+102	-4.872473314684069e+103

simplify25.0ms

Iterations

Iter	Nodes
done	50
1	50
0	36

end0.0ms

sample5.1s

Algorithm

intervals

Results

3.3s

16476×

body

valid