Details

sample73.0ms

Algorithm

intervals

Results

36.0ms

504×

body

valid

simplify7.4s

Counts

1 → 1

Iterations

Useful iterations: 5 (3.1s)

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
4.0b	(fma t (* (* (* x 18.0) y) z) (* b c))
5.3b	(* (* (* x 18.0) y) z)

rewrite37.0ms

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:

6.0ms	(* (* x 18.0) y)
6.0ms	(* (* j 27.0) k)
0.0ms	(fma t (* (* (* x 18.0) y) z) (* b c))
22.0ms	(* (* (* x 18.0) y) z)

series167.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
93.0ms	(fma t (* (* (* x 18.0) y) z) (* b c))
32.0ms	(* (* (* x 18.0) y) z)

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: 2 (184.0ms)

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

prune378.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.2b	(* (* x 18.0) y)
4.0b	(fma t (* (* (* x 18.0) y) z) (* b c))
5.3b	(* (* (* x 18.0) y) z)

rewrite37.0ms

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:

6.0ms	(* j (* 27.0 k))
6.0ms	(* (* x 18.0) y)
0.0ms	(fma t (* (* (* x 18.0) y) z) (* b c))
22.0ms	(* (* (* x 18.0) y) z)

series172.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* j (* 27.0 k))
23.0ms	(* (* x 18.0) y)
95.0ms	(fma t (* (* (* x 18.0) y) z) (* b c))
33.0ms	(* (* (* x 18.0) y) z)

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: 2 (172.0ms)

Iter	Nodes	Cost
0	130	787
1	303	769
2	1326	629
done	5000	629

prune369.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* 27.0 (* k j))
4.0b	(fma t (* (* (* x 18.0) y) z) (* b c))
5.3b	(* (* (* 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)
8.0ms	(* 27.0 (* k j))
0.0ms	(fma t (* (* (* x 18.0) y) z) (* b c))
22.0ms	(* (* (* x 18.0) y) z)

series173.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
22.0ms	(* 27.0 (* k j))
97.0ms	(fma t (* (* (* x 18.0) y) z) (* b c))
31.0ms	(* (* (* x 18.0) y) z)

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: 2 (168.0ms)

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

prune388.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.1b

localize26.0ms

Local error

Found 4 expressions with local error:

5.3b	(* (* (* x 18.0) y) z)
16.0b	(cbrt (* (* (* x 18.0) y) z))
16.0b	(cbrt (* (* (* x 18.0) y) z))
16.0b	(cbrt (* (* (* x 18.0) y) z))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

22.0ms	(* (* (* x 18.0) y) z)
21.0ms	(cbrt (* (* (* x 18.0) y) z))
19.0ms	(cbrt (* (* (* x 18.0) y) z))
19.0ms	(cbrt (* (* (* x 18.0) y) z))

series413.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* (* x 18.0) y) z)
126.0ms	(cbrt (* (* (* x 18.0) y) z))
127.0ms	(cbrt (* (* (* x 18.0) y) z))
126.0ms	(cbrt (* (* (* x 18.0) y) z))

simplify3.7s

Counts

68 → 68

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	100	770
1	245	753
2	930	643
3	4917	619
done	5000	619

prune430.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.1b

regimes942.0ms

Accuracy

42.4% (2.0b remaining)

Error of 4.0b against oracle of 2.0b and baseline of 5.4b

bsearch286.0ms

Steps

Iters	Range		Point
9	6.8315149302185055e-186	3.4979177549211033e-180	1.554625306792136e-183
8	-2.5236398082960293e+53	-6.589653159015272e+49	-8.438842758934493e+49

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	38	92
1	54	61
done	54	61

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

16437×

body

valid