Details

sample63.0ms

Algorithm

intervals

Results

35.0ms

473×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1451
4	445
3	160
2	50
1	19
0	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
5.2b	(* (* y 4.0) (- (* z z) t))

rewrite84.0ms

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` `flip--`
2×	`diff-log` `associate-*r/` `difference-of-squares`
1×	`associate-l` `*-commutative`

Counts

3 → 54

Calls

3 calls:

9.0ms	(- (* z z) t)
18.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
54.0ms	(* (* y 4.0) (- (* z z) t))

series225.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- (* z z) t)
109.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
82.0ms	(* (* y 4.0) (- (* z z) t))

simplify948.0ms

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	1873
1	327
0	103

prune444.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.5b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 4.0 (* y (* z z))))
0.0b	(- (- (* x x) (* 4.0 (* y (* z z)))) (* (- t) (* y 4.0)))
0.0b	(* 4.0 (* y (* z z)))
9.5b	(* y (* z z))

rewrite91.0ms

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`
7×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
4×	`diff-log`
3×	`sub-neg`
2×	`flip3--` `associate-r` `associate--l+` `*-commutative` `flip--`
1×	`associate--l-` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

8.0ms	(- (* x x) (* 4.0 (* y (* z z))))
38.0ms	(- (- (* x x) (* 4.0 (* y (* z z)))) (* (- t) (* y 4.0)))
32.0ms	(* 4.0 (* y (* z z)))
12.0ms	(* y (* z z))

series296.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(- (* x x) (* 4.0 (* y (* z z))))
129.0ms	(- (- (* x x) (* 4.0 (* y (* z z)))) (* (- t) (* y 4.0)))
35.0ms	(* 4.0 (* y (* z z)))
32.0ms	(* y (* z z))

simplify777.0ms

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
2	1704
1	326
0	114

prune446.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite169.0ms

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×	`diff-log` `associate-r` `associate-l`
3×	`sub-neg`
2×	`flip3--` `associate--l+` `*-commutative` `flip--`
1×	`associate--l-`

Counts

4 → 67

Calls

4 calls:

7.0ms	(- (* x x) (* 4.0 (* (* z y) z)))
60.0ms	(- (- (* x x) (* 4.0 (* (* z y) z))) (* (- t) (* y 4.0)))
66.0ms	(* 4.0 (* (* z y) z))
33.0ms	(* (* z y) z)

series205.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (* x x) (* 4.0 (* (* z y) z)))
87.0ms	(- (- (* x x) (* 4.0 (* (* z y) z))) (* (- t) (* y 4.0)))
27.0ms	(* 4.0 (* (* z y) z))
24.0ms	(* (* z y) z)

simplify1.0s

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
2	1911
1	339
0	117

prune390.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(+ (* x x) (- (* (* 4.0 y) (- (* z z) t))))
5.2b	(* (* 4.0 y) (- (* z z) t))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt`
5×	`sub-neg`
4×	`distribute-rgt-in` `associate-+r+` `distribute-neg-in` `-un-lft-identity` `distribute-lft-in` `associate-r*` `add-cube-cbrt`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sum-log` `flip3--` `associate-*r/` `flip--` `difference-of-squares`
1×	`neg-sub0` `+-commutative` `associate-+r-` `flip3-+` `diff-log` `associate-l` `unsub-neg` `neg-log` `*-commutative` `flip-+`

Counts

3 → 57

Calls

3 calls:

6.0ms	(- (* z z) t)
8.0ms	(+ (* x x) (- (* (* 4.0 y) (- (* z z) t))))
32.0ms	(* (* 4.0 y) (- (* z z) t))

series203.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(- (* z z) t)
102.0ms	(+ (* x x) (- (* (* 4.0 y) (- (* z z) t))))
75.0ms	(* (* 4.0 y) (- (* z z) t))

simplify917.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	2192
1	366
0	110

prune301.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes460.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	32
3	32
2	25
1	21
0	14

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.4s

16134×

body

valid