Details

sample67.0ms

Algorithm

intervals

Results

32.0ms

484×

body

valid

simplify7.5s

Counts

1 → 1

Iterations

Useful iterations: 5 (3.2s)

Iter	Nodes	Cost
0	28	31
1	67	29
2	218	27
3	722	27
4	1970	27
5	3162	26
6	4396	26
done	5000	26

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
4.1b	(fma t (* (* (* x 18.0) y) z) (* b c))
4.7b	(* (* (* x 18.0) y) z)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

7.0ms	(* (* x 18.0) y)
10.0ms	(* (* j 27.0) k)
0.0ms	(fma t (* (* (* x 18.0) y) z) (* b c))
22.0ms	(* (* (* x 18.0) y) z)

series165.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
96.0ms	(fma t (* (* (* x 18.0) y) z) (* b c))
28.0ms	(* (* (* x 18.0) y) z)

simplify1.7s

Counts

85 → 85

Iterations

Useful iterations: 2 (422.0ms)

Iter	Nodes	Cost
0	132	790
1	311	770
2	1390	630
done	5001	630

prune357.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* j (* 27.0 k))
4.1b	(fma t (* (* (* x 18.0) y) z) (* b c))
4.7b	(* (* (* x 18.0) y) z)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

7.0ms	(* (* x 18.0) y)
6.0ms	(* j (* 27.0 k))
0.0ms	(fma t (* (* (* x 18.0) y) z) (* b c))
24.0ms	(* (* (* x 18.0) y) z)

series158.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* x 18.0) y)
18.0ms	(* j (* 27.0 k))
90.0ms	(fma t (* (* (* x 18.0) y) z) (* b c))
28.0ms	(* (* (* x 18.0) y) z)

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: 2 (169.0ms)

Iter	Nodes	Cost
0	130	787
1	303	769
2	1324	629
done	5001	629

prune373.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.3b	(* j (* 27.0 k))
4.1b	(fma t (* (* x (* 18.0 y)) z) (* b c))
4.7b	(* (* x (* 18.0 y)) z)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* x (* 18.0 y))
6.0ms	(* j (* 27.0 k))
0.0ms	(fma t (* (* x (* 18.0 y)) z) (* b c))
18.0ms	(* (* x (* 18.0 y)) z)

series166.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* x (* 18.0 y))
19.0ms	(* j (* 27.0 k))
93.0ms	(fma t (* (* x (* 18.0 y)) z) (* b c))
33.0ms	(* (* x (* 18.0 y)) z)

simplify1.1s

Counts

85 → 85

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	128	786
1	302	770
2	1194	630
done	5000	630

prune379.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* 27.0 (* k j))
4.1b	(fma t (* (* (* x 18.0) y) z) (* b c))
4.7b	(* (* (* x 18.0) y) z)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

7.0ms	(* (* x 18.0) y)
6.0ms	(* 27.0 (* k j))
0.0ms	(fma t (* (* (* x 18.0) y) z) (* b c))
25.0ms	(* (* (* x 18.0) y) z)

series169.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* x 18.0) y)
22.0ms	(* 27.0 (* k j))
93.0ms	(fma t (* (* (* x 18.0) y) z) (* b c))
29.0ms	(* (* (* x 18.0) y) z)

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: 2 (162.0ms)

Iter	Nodes	Cost
0	128	787
1	299	769
2	1287	629
done	5000	629

prune353.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.7b

regimes855.0ms

Accuracy

32.8% (2.4b remaining)

Error of 4.5b against oracle of 2.1b and baseline of 5.7b

bsearch290.0ms

Steps

Iters	Range		Point
9	4.8315969433294324e-86	4.3005030715443423e-79	1.5291334753711572e-82
9	-3.1209391907115636e-95	-1.4775058849533527e-100	-2.76903890496873e-100

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	80
1	50	80
done	50	80

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

16200×

body

valid