Details

sample204.0ms

Algorithm

intervals

Results

108.0ms

552×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.5b	(* (* 27.0 j) k)
5.2b	(* (* (* x 18.0) y) z)
5.7b	(* t (* (* (* x 18.0) y) z))

rewrite307.0ms

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:

15.0ms	(* (* x 18.0) y)
26.0ms	(* (* 27.0 j) k)
71.0ms	(* (* (* x 18.0) y) z)
192.0ms	(* t (* (* (* x 18.0) y) z))

series195.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x 18.0) y)
24.0ms	(* (* 27.0 j) k)
57.0ms	(* (* (* x 18.0) y) z)
82.0ms	(* t (* (* (* x 18.0) y) z))

simplify2.0s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	2777
1	374
0	142

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* 27.0 (* j k))
5.2b	(* (* (* x 18.0) y) z)
5.7b	(* t (* (* (* x 18.0) y) z))

rewrite268.0ms

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)
18.0ms	(* 27.0 (* j k))
71.0ms	(* (* (* x 18.0) y) z)
162.0ms	(* t (* (* (* x 18.0) y) z))

series197.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* x 18.0) y)
46.0ms	(* 27.0 (* j k))
50.0ms	(* (* (* x 18.0) y) z)
57.0ms	(* t (* (* (* x 18.0) y) z))

simplify1.8s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2450
1	359
0	139

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.2b	(* k (* j (sqrt 27.0)))
0.3b	(* (sqrt 27.0) (* k (* j (sqrt 27.0))))
5.2b	(* (* (* x 18.0) y) z)
5.7b	(* t (* (* (* x 18.0) y) z))

rewrite325.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

17.0ms	(* k (* j (sqrt 27.0)))
70.0ms	(* (sqrt 27.0) (* k (* j (sqrt 27.0))))
63.0ms	(* (* (* x 18.0) y) z)
172.0ms	(* t (* (* (* x 18.0) y) z))

series342.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* k (* j (sqrt 27.0)))
120.0ms	(* (sqrt 27.0) (* k (* j (sqrt 27.0))))
39.0ms	(* (* (* x 18.0) y) z)
90.0ms	(* t (* (* (* x 18.0) y) z))

simplify1.7s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	2348
1	403
0	154

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt 27.0) k)
0.3b	(* (* (sqrt 27.0) k) (* j (sqrt 27.0)))
5.2b	(* (* (* x 18.0) y) z)
5.7b	(* t (* (* (* x 18.0) y) z))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

41×	`pow1` `add-cbrt-cube` `add-exp-log`
25×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt`
11×	`associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
4×	`expm1-log1p-u` `*-commutative` `sqrt-prod` `log1p-expm1-u` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 97

Calls

4 calls:

8.0ms	(* (sqrt 27.0) k)
40.0ms	(* (* (sqrt 27.0) k) (* j (sqrt 27.0)))
57.0ms	(* (* (* x 18.0) y) z)
151.0ms	(* t (* (* (* x 18.0) y) z))

series363.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* (sqrt 27.0) k)
126.0ms	(* (* (sqrt 27.0) k) (* j (sqrt 27.0)))
55.0ms	(* (* (* x 18.0) y) z)
84.0ms	(* t (* (* (* x 18.0) y) z))

simplify1.4s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
2	2371
1	407
0	156

prune915.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes2.1s

Accuracy

76.2% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 5.8b

bsearch339.0ms

Steps

Iters	Range		Point
6	0.04922038477756643	0.2398314311373896	0.09659055188887333
8	-4.86617889152462e+53	-1.2058059804418693e+51	-5.771702439406875e+51

simplify6.0ms

Iterations

Iter	Nodes
done	58
1	58
0	41

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.8s

16227×

body

valid