Details

sample39.0ms

Algorithm

intervals

Results

19.0ms

498×

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
0.0b	(- (* z z) t)
7.3b	(* (* y 4.0) (- (* z z) t))

rewrite47.0ms

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:

8.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.0ms	(- (* z z) t)
31.0ms	(* (* y 4.0) (- (* z z) t))

series226.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
33.0ms	(- (* z z) t)
74.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.4s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	1060
1	311
0	103

prune318.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.7b

localize36.0ms

Local error

Found 4 expressions with local error:

2.2b	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
2.2b	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
7.3b	(* (* y 4.0) (- (* z z) t))
7.3b	(* (* y 4.0) (- (* z z) t))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
14×	`add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
6×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `sqrt-div` `associate-*r/` `flip--` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `*-commutative` `difference-of-squares`

Counts

4 → 80

Calls

4 calls:

12.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
11.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
51.0ms	(* (* y 4.0) (- (* z z) t))
38.0ms	(* (* y 4.0) (- (* z z) t))

series607.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
202.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
93.0ms	(* (* y 4.0) (- (* z z) t))
101.0ms	(* (* y 4.0) (- (* z z) t))

simplify3.4s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
3	4199
2	922
1	277
0	101

prune621.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 4.7b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z z) (* z z))
4.8b	(- (* (* z z) (* z z)) (* t t))
6.7b	(* (* y 4.0) (- (* (* z z) (* z z)) (* t t)))
21.2b	(/ (* (* y 4.0) (- (* (* z z) (* z z)) (* t t))) (+ (* z z) t))

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

120×	`pow1`
36×	`pow-prod-up`
30×	`add-cbrt-cube` `add-exp-log`
26×	`pow-prod-down`
22×	`pow-sqr`
18×	`pow-plus`
14×	`prod-exp` `cbrt-unprod`
13×	`pow2`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`add-log-exp`
5×	`associate-r`
4×	`associate-*r/`
3×	`cbrt-undiv` `associate-/r*` `sub-neg` `times-frac` `flip3--` `div-exp` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `associate-/r/` `*-commutative` `difference-of-squares` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3-+` `diff-log` `swap-sqr` `flip-+` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

44.0ms	(* (* z z) (* z z))
47.0ms	(- (* (* z z) (* z z)) (* t t))
134.0ms	(* (* y 4.0) (- (* (* z z) (* z z)) (* t t)))
84.0ms	(/ (* (* y 4.0) (- (* (* z z) (* z z)) (* t t))) (+ (* z z) t))

series551.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (* z z) (* z z))
74.0ms	(- (* (* z z) (* z z)) (* t t))
169.0ms	(* (* y 4.0) (- (* (* z z) (* z z)) (* t t)))
241.0ms	(/ (* (* y 4.0) (- (* (* z z) (* z z)) (* t t))) (+ (* z z) t))

simplify2.1s

Counts

140 → 140

Iterations

Iter	Nodes
done	5000
2	2397
1	551
0	160

prune645.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 4.7b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y 4.0) (sqrt (- (* z z) t)))
0.1b	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
7.3b	(sqrt (- (* z z) t))
7.3b	(sqrt (- (* z z) t))

rewrite232.0ms

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` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative`

Counts

4 → 89

Calls

4 calls:

36.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
157.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
17.0ms	(sqrt (- (* z z) t))
16.0ms	(sqrt (- (* z z) t))

series349.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
80.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
83.0ms	(sqrt (- (* z z) t))
88.0ms	(sqrt (- (* z z) t))

simplify2.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1388
1	377
0	136

prune545.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 4.7b

regimes1.2s

Accuracy

85.3% (0.5b remaining)

Error of 3.0b against oracle of 2.6b and baseline of 5.7b

bsearch1.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	25
1	25
0	20

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.6s

15951×

body

valid