Details

sample100.0ms

Algorithm

intervals

Results

70.0ms

501×

body

valid

simplify3.1s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
3.6b	(* (* y 4.0) (- (* z z) t))

rewrite45.0ms

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:

7.0ms	(- (* z z) t)
8.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
29.0ms	(* (* y 4.0) (- (* z z) t))

series228.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- (* z z) t)
113.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
86.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.3s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
2	1073
1	314
0	106

prune363.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.3b

localize32.0ms

Local error

Found 4 expressions with local error:

1.1b	(cbrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
3.6b	(* (* y 4.0) (- (* z z) t))
3.6b	(* (* y 4.0) (- (* z z) t))
3.6b	(* (* y 4.0) (- (* z z) t))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

5.0ms	(cbrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
53.0ms	(* (* y 4.0) (- (* z z) t))
35.0ms	(* (* y 4.0) (- (* z z) t))
50.0ms	(* (* y 4.0) (- (* z z) t))

series402.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(cbrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
93.0ms	(* (* y 4.0) (- (* z z) t))
83.0ms	(* (* y 4.0) (- (* z z) t))
70.0ms	(* (* y 4.0) (- (* z z) t))

simplify3.7s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
3	4657
2	1051
1	319
0	120

prune474.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y 4.0) (sqrt (- (* z z) t)))
0.2b	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
3.6b	(sqrt (- (* z z) t))
3.6b	(sqrt (- (* z z) t))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
18×	`add-cbrt-cube` `sqrt-div` `add-exp-log`
16×	`add-sqr-sqrt` `sqrt-prod`
14×	`associate-r`
10×	`-un-lft-identity` `associate-r/` `add-cube-cbrt`
9×	`flip3--` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip--`
4×	`frac-times` `insert-posit16` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative`

Counts

4 → 93

Calls

4 calls:

29.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
115.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
17.0ms	(sqrt (- (* z z) t))
8.0ms	(sqrt (- (* z z) t))

series313.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
75.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
76.0ms	(sqrt (- (* z z) t))
63.0ms	(sqrt (- (* z z) t))

simplify1.8s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1377
1	379
0	139

prune525.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 1.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (sqrt (- (* z z) t))))
3.6b	(sqrt (- (* z z) t))
3.6b	(sqrt (- (* z z) t))
3.6b	(sqrt (- (* z z) t))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

24×	`sqrt-div`
23×	`sqrt-prod`
17×	`add-sqr-sqrt`
16×	`pow1`
13×	`add-cbrt-cube` `add-exp-log`
10×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
9×	`flip3--` `flip--`
8×	`associate-*r/`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`frac-times` `insert-posit16` `add-log-exp` `difference-of-squares`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`associate-*l/`
1×	`associate-l` `*-commutative`

Counts

4 → 88

Calls

4 calls:

131.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (sqrt (- (* z z) t))))
14.0ms	(sqrt (- (* z z) t))
16.0ms	(sqrt (- (* z z) t))
22.0ms	(sqrt (- (* z z) t))

series372.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (sqrt (- (* z z) t))))
81.0ms	(sqrt (- (* z z) t))
77.0ms	(sqrt (- (* z z) t))
85.0ms	(sqrt (- (* z z) t))

simplify1.6s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1310
1	386
0	149

prune589.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 1.3b

regimes830.0ms

Accuracy

79.2% (0.7b remaining)

Error of 2.9b against oracle of 2.2b and baseline of 5.4b

bsearch1.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	25
1	25
0	20

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.5s

15631×

body

valid