Details

sample151.0ms

Algorithm

intervals

Results

81.0ms

510×

body

valid

simplify4.8s

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: 4.7b

localize78.0ms

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)

rewrite261.0ms

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:

27.0ms	(* (* x 18.0) y)
27.0ms	(* (* 27.0 j) k)
153.0ms	(* t (* (* (* x 18.0) y) z))
51.0ms	(* (* (* x 18.0) y) z)

series176.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* x 18.0) y)
26.0ms	(* (* 27.0 j) k)
76.0ms	(* t (* (* (* x 18.0) y) z))
31.0ms	(* (* (* x 18.0) y) z)

simplify2.0s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2779
1	374
0	142

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize75.0ms

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)

rewrite286.0ms

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:

18.0ms	(* (* x 18.0) y)
29.0ms	(* 27.0 (* j k))
178.0ms	(* t (* (* (* x 18.0) y) z))
58.0ms	(* (* (* x 18.0) y) z)

series194.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* x 18.0) y)
32.0ms	(* 27.0 (* j k))
75.0ms	(* t (* (* (* x 18.0) y) z))
57.0ms	(* (* (* x 18.0) y) z)

simplify1.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	2408
1	359
0	139

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

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

rewrite266.0ms

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:

16.0ms	(* j (* k (sqrt 27.0)))
51.0ms	(* (sqrt 27.0) (* j (* k (sqrt 27.0))))
150.0ms	(* t (* (* (* x 18.0) y) z))
42.0ms	(* (* (* x 18.0) y) z)

series317.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* j (* k (sqrt 27.0)))
125.0ms	(* (sqrt 27.0) (* j (* k (sqrt 27.0))))
69.0ms	(* t (* (* (* x 18.0) y) z))
42.0ms	(* (* (* x 18.0) y) z)

simplify1.2s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	2375
1	404
0	155

prune966.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

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))
5.8b	(* (* x t) (* y 18.0))
7.6b	(* (* (* x t) (* y 18.0)) z)

rewrite142.0ms

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:

0.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* j k)))
15.0ms	(* 27.0 (* j k))
34.0ms	(* (* x t) (* y 18.0))
89.0ms	(* (* (* x t) (* y 18.0)) z)

series310.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* j k)))
35.0ms	(* 27.0 (* j k))
53.0ms	(* (* x t) (* y 18.0))
93.0ms	(* (* (* x t) (* y 18.0)) z)

simplify1.1s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	1812
1	375
0	147

prune714.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes1.8s

Accuracy

47% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 5.9b

bsearch345.0ms

Steps

Iters	Range		Point
4	4.39122937377213e-206	8.777228586876032e-206	8.621654608286014e-206
9	-1.1675484951886855e-89	-4.70303534912951e-95	-7.497416902329218e-90

simplify11.0ms

Iterations

Iter	Nodes
done	75
1	75
0	54

end0.0ms

sample4.6s

Algorithm

intervals

Results

3.5s

16476×

body

valid