Details

sample58.0ms

Algorithm

intervals

Results

39.0ms

471×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4506
8	3719
7	2357
6	930
5	420
4	303
3	156
2	49
1	19
0	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
0.0b	(- (* z z) t)
4.4b	(* (* y 4.0) (- (* z z) t))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `sub-neg`
4×	`distribute-rgt-in` `-un-lft-identity` `distribute-lft-in` `associate-r*` `add-cube-cbrt` `associate--r+`
3×	`flip3--` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `flip--`
2×	`diff-log` `associate-*r/` `difference-of-squares`
1×	`associate-l` `*-commutative`

Counts

3 → 57

Calls

3 calls:

19.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
8.0ms	(- (* z z) t)
32.0ms	(* (* y 4.0) (- (* z z) t))

series197.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
31.0ms	(- (* z z) t)
83.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.2s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
2	1068
1	314
0	106

prune312.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* (* t 4.0) y))
0.0b	(- (+ (* x x) (* (* t 4.0) y)) (* z (* z (* 4.0 y))))
0.1b	(* z (* z (* 4.0 y)))
0.2b	(* (* t 4.0) y)

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

14.0ms	(+ (* x x) (* (* t 4.0) y))
68.0ms	(- (+ (* x x) (* (* t 4.0) y)) (* z (* z (* 4.0 y))))
43.0ms	(* z (* z (* 4.0 y)))
15.0ms	(* (* t 4.0) y)

series208.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (* x x) (* (* t 4.0) y))
101.0ms	(- (+ (* x x) (* (* t 4.0) y)) (* z (* z (* 4.0 y))))
32.0ms	(* z (* z (* 4.0 y)))
24.0ms	(* (* t 4.0) y)

simplify1.4s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
2	1543
1	367
0	128

prune357.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* z (* z (* 4.0 y)))) (cbrt (* z (* z (* 4.0 y)))))
21.1b	(cbrt (* z (* z (* 4.0 y))))
21.1b	(cbrt (* z (* z (* 4.0 y))))
21.1b	(cbrt (* z (* z (* 4.0 y))))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

61.0ms	(* (cbrt (* z (* z (* 4.0 y)))) (cbrt (* z (* z (* 4.0 y)))))
47.0ms	(cbrt (* z (* z (* 4.0 y))))
49.0ms	(cbrt (* z (* z (* 4.0 y))))
42.0ms	(cbrt (* z (* z (* 4.0 y))))

series624.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (cbrt (* z (* z (* 4.0 y)))) (cbrt (* z (* z (* 4.0 y)))))
133.0ms	(cbrt (* z (* z (* 4.0 y))))
161.0ms	(cbrt (* z (* z (* 4.0 y))))
158.0ms	(cbrt (* z (* z (* 4.0 y))))

simplify1.8s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
3	1605
2	615
1	240
0	97

prune444.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
10.3b	(cbrt (* z (* 4.0 y)))
21.1b	(cbrt (* z (* z (* 4.0 y))))
21.1b	(cbrt (* z (* z (* 4.0 y))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 42

Calls

4 calls:

1.0ms	(cbrt z)
8.0ms	(cbrt (* z (* 4.0 y)))
34.0ms	(cbrt (* z (* z (* 4.0 y))))
31.0ms	(cbrt (* z (* z (* 4.0 y))))

series585.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(cbrt z)
112.0ms	(cbrt (* z (* 4.0 y)))
111.0ms	(cbrt (* z (* z (* 4.0 y))))
133.0ms	(cbrt (* z (* z (* 4.0 y))))

simplify2.6s

Counts

54 → 54

Iterations

Iter	Nodes
done	5001
4	3923
3	1069
2	365
1	184
0	89

prune418.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes793.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	13

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.5s

15754×

body

valid