Details

sample44.0ms

Algorithm

intervals

Results

20.0ms

386×

body

valid

simplify58.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	8	15
1	15	15
2	25	13
3	37	9
4	45	9
5	48	9
done	48	9

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x y) (* z z)) (* z z))
0.0b	(+ (* x y) (* z z))
0.1b	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

41.0ms	(+ (+ (* x y) (* z z)) (* z z))
8.0ms	(+ (* x y) (* z z))
182.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series209.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ (+ (* x y) (* z z)) (* z z))
50.0ms	(+ (* x y) (* z z))
77.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify2.6s

Counts

47 → 47

Iterations

Useful iterations: 3 (938.0ms)

Iter	Nodes	Cost
0	70	791
1	208	667
2	738	601
3	2923	519
done	5000	519

prune129.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (pow z 2)) (* x y))
0.2b	(* 3 (pow z 2))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 38

Calls

2 calls:

9.0ms	(+ (* 3 (pow z 2)) (* x y))
12.0ms	(* 3 (pow z 2))

series70.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* 3 (pow z 2)) (* x y))
31.0ms	(* 3 (pow z 2))

simplify1.5s

Counts

44 → 44

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	73	440
1	188	390
2	509	349
3	1638	343
done	5001	340

prune101.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 3 z) (pow z (/ 2 2))) (* x y))
0.2b	(* (* 3 z) (pow z (/ 2 2)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
9×	`prod-exp`
7×	`associate-r` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`unpow-prod-down` `cbrt-unprod`
2×	`pow1` `pow-to-exp` `pow-exp`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+` `sqr-pow`

Counts

2 → 35

Calls

2 calls:

29.0ms	(+ (* (* 3 z) (pow z (/ 2 2))) (* x y))
40.0ms	(* (* 3 z) (pow z (/ 2 2)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ (* (* 3 z) (pow z (/ 2 2))) (* x y))
38.0ms	(* (* 3 z) (pow z (/ 2 2)))

simplify2.4s

Counts

41 → 41

Iterations

Useful iterations: 3 (904.0ms)

Iter	Nodes	Cost
0	80	604
1	229	446
2	745	337
3	2710	322
done	5002	322

prune105.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (pow z 2))) (* x y))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (pow z 2)))
0.2b	(* (cbrt 3) (pow z 2))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
21×	`prod-exp`
19×	`add-sqr-sqrt`
10×	`add-cbrt-cube`
9×	`associate-r` `cbrt-unprod`
8×	`pow1` `unswap-sqr`
7×	`cbrt-prod` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
5×	`unpow-prod-down` `add-log-exp`
3×	`pow-to-exp` `pow-prod-down` `pow-exp` `unpow2` `sqr-pow`
2×	`*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 69

Calls

3 calls:

55.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (pow z 2))) (* x y))
59.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (pow z 2)))
26.0ms	(* (cbrt 3) (pow z 2))

series272.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (pow z 2))) (* x y))
118.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (pow z 2)))
55.0ms	(* (cbrt 3) (pow z 2))

simplify4.0s

Counts

78 → 78

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	107	1095
1	277	991
2	953	724
3	3750	604
done	5001	585

prune230.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes182.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 2 (2.0ms)

Iter	Nodes	Cost
0	11	13
1	16	11
2	18	9
done	18	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

597.0ms

12223×

body

valid