Details

sample213.0ms

Algorithm

intervals

Results

74.0ms

510×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize77.0ms

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)

rewrite310.0ms

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	(* (* x 18.0) y)
14.0ms	(* (* 27.0 j) k)
182.0ms	(* t (* (* (* x 18.0) y) z))
97.0ms	(* (* (* x 18.0) y) z)

series161.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* x 18.0) y)
24.0ms	(* (* 27.0 j) k)
69.0ms	(* t (* (* (* x 18.0) y) z))
36.0ms	(* (* (* x 18.0) y) z)

simplify2.5s

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

localize78.0ms

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)

rewrite272.0ms

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:

16.0ms	(* (* x 18.0) y)
13.0ms	(* 27.0 (* j k))
162.0ms	(* t (* (* (* x 18.0) y) z))
75.0ms	(* (* (* x 18.0) y) z)

series261.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* x 18.0) y)
45.0ms	(* 27.0 (* j k))
102.0ms	(* t (* (* (* x 18.0) y) z))
66.0ms	(* (* (* x 18.0) y) z)

simplify1.9s

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

localize67.0ms

Local error

Found 4 expressions with local error:

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

17.0ms	(* (* 27.0 j) k)
14.0ms	(* (* y x) 18.0)
141.0ms	(* t (* (* (* y x) 18.0) z))
78.0ms	(* (* (* y x) 18.0) z)

series221.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* 27.0 j) k)
46.0ms	(* (* y x) 18.0)
77.0ms	(* t (* (* (* y x) 18.0) z))
57.0ms	(* (* (* y x) 18.0) z)

simplify1.7s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	2399
1	374
0	142

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.0b

localize58.0ms

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)

rewrite261.0ms

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:

65.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* j k)))
19.0ms	(* (sqrt 27.0) (* j k))
114.0ms	(* t (* (* (* x 18.0) y) z))
56.0ms	(* (* (* x 18.0) y) z)

series270.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* j k)))
65.0ms	(* (sqrt 27.0) (* j k))
64.0ms	(* t (* (* (* x 18.0) y) z))
33.0ms	(* (* (* x 18.0) y) z)

simplify1.5s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	2446
1	405
0	153

prune937.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.8b

regimes2.1s

Accuracy

76.4% (1.2b remaining)

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

bsearch528.0ms

Steps

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

simplify12.0ms

Iterations

Iter	Nodes
done	50
1	50
0	36

end0.0ms

sample5.6s

Algorithm

intervals

Results

3.5s

16476×

body

valid