Details

sample194.0ms

Algorithm

intervals

Results

143.0ms

538×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	2024
5	2024
4	1125
3	543
2	196
1	66
0	28

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.6b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* b c) (+ (* k (* 27.0 j)) (* (* i 4.0) x)))
0.5b	(* k (* 27.0 j))
3.1b	(* (- (* (* x y) (* z 18.0)) (* a 4.0)) t)
3.3b	(* (* x y) (* z 18.0))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `add-log-exp`
7×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
5×	`associate-r`
4×	`insert-posit16`
3×	`*-commutative`
2×	`flip3--` `diff-log` `associate-*l/` `flip--`
1×	`sum-log` `sub-neg` `associate--r+` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

20.0ms	(- (* b c) (+ (* k (* 27.0 j)) (* (* i 4.0) x)))
13.0ms	(* k (* 27.0 j))
92.0ms	(* (- (* (* x y) (* z 18.0)) (* a 4.0)) t)
33.0ms	(* (* x y) (* z 18.0))

series263.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(- (* b c) (+ (* k (* 27.0 j)) (* (* i 4.0) x)))
19.0ms	(* k (* 27.0 j))
107.0ms	(* (- (* (* x y) (* z 18.0)) (* a 4.0)) t)
40.0ms	(* (* x y) (* z 18.0))

simplify1.1s

Counts

90 → 90

Iterations

Iter	Nodes
done	2002
3	2002
2	1639
1	461
0	174

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.4b

localize70.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
3.0b	(* (* (* x 18.0) y) z)
4.8b	(* (* (* (* x 18.0) y) z) t)

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `*-commutative` `insert-posit16` `add-log-exp`

Counts

4 → 85

Calls

4 calls:

17.0ms	(* (* x 18.0) y)
13.0ms	(* (* j 27.0) k)
42.0ms	(* (* (* x 18.0) y) z)
185.0ms	(* (* (* (* x 18.0) y) z) t)

series161.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x 18.0) y)
29.0ms	(* (* j 27.0) k)
41.0ms	(* (* (* x 18.0) y) z)
60.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.1s

Counts

97 → 97

Iterations

Iter	Nodes
done	2006
3	2006
2	1402
1	370
0	141

prune2.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.5b

localize68.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
0.4b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
6.5b	(* (* (* x 18.0) y) (* z t))

rewrite427.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`associate-r`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16`
3×	`associate-l` `*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 83

Calls

4 calls:

318.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
20.0ms	(* (* x 18.0) y)
20.0ms	(* (* j 27.0) k)
66.0ms	(* (* (* x 18.0) y) (* z t))

series356.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
26.0ms	(* (* x 18.0) y)
21.0ms	(* (* j 27.0) k)
54.0ms	(* (* (* x 18.0) y) (* z t))

simplify1.3s

Counts

95 → 95

Iterations

Iter	Nodes
done	2014
3	2014
2	1692
1	446
0	164

prune2.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
0.5b	(* (* j 27.0) k)
4.1b	(* (* x 18.0) (* y (* z t)))
5.1b	(* y (* z t))

rewrite351.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`insert-posit16`
3×	`*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 83

Calls

4 calls:

255.0ms	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
14.0ms	(* (* j 27.0) k)
51.0ms	(* (* x 18.0) (* y (* z t)))
28.0ms	(* y (* z t))

series396.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
38.0ms	(* (* j 27.0) k)
65.0ms	(* (* x 18.0) (* y (* z t)))
40.0ms	(* y (* z t))

simplify1.1s

Counts

95 → 95

Iterations

Iter	Nodes
done	2002
3	2002
2	1674
1	436
0	161

prune2.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes2.5s

Accuracy

74.6% (1.2b remaining)

Error of 1.7b against oracle of 0.5b and baseline of 5.3b

bsearch406.0ms

Steps

Iters	Range		Point
7	3.10459938993177e+28	7.860312330215466e+29	7.236958844779297e+28
6	-4.4176751546766945e-15	-7.825689243867861e-16	-1.072957652330537e-15

simplify12.0ms

Iterations

Iter	Nodes
done	81
1	81
0	54

end0.0ms

sample5.8s

Algorithm

intervals

Results

4.6s

16085×

body

valid