Details

sample59.0ms

Algorithm

intervals

Results

29.0ms

491×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
7.6b	(* (* y 4.0) (- (* z z) t))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

10.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
32.0ms	(* (* y 4.0) (- (* z z) t))

series185.0ms

Counts

2 → 6

Calls

2 calls:

116.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
69.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.0s

Counts

47 → 47

Iterations

Iter	Nodes
done	5002
2	1757
1	293
0	93

prune194.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.7b

localize56.0ms

Local error

Found 4 expressions with local error:

2.3b	(cbrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
7.6b	(* (* y 4.0) (- (* z z) t))
7.6b	(* (* y 4.0) (- (* z z) t))
7.6b	(* (* y 4.0) (- (* z z) t))

rewrite139.0ms

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--` `flip--` `add-log-exp`
3×	`cbrt-prod` `associate-l` `*-commutative` `difference-of-squares`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 88

Calls

4 calls:

7.0ms	(cbrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
32.0ms	(* (* y 4.0) (- (* z z) t))
51.0ms	(* (* y 4.0) (- (* z z) t))
45.0ms	(* (* y 4.0) (- (* z z) t))

series410.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
74.0ms	(* (* y 4.0) (- (* z z) t))
70.0ms	(* (* y 4.0) (- (* z z) t))
75.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.2s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1809
1	333
0	118

prune493.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.7b

localize26.0ms

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)))
7.6b	(sqrt (- (* z z) t))
7.6b	(sqrt (- (* z z) t))

rewrite193.0ms

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:

43.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
128.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
8.0ms	(sqrt (- (* z z) t))
8.0ms	(sqrt (- (* z z) t))

series323.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
81.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
70.0ms	(sqrt (- (* z z) t))
71.0ms	(sqrt (- (* z z) t))

simplify1.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	2218
1	386
0	136

prune606.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 3.7b

localize37.0ms

Local error

Found 4 expressions with local error:

1.7b	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
1.7b	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
7.6b	(* (* y 4.0) (- (* z z) t))
7.6b	(* (* y 4.0) (- (* z z) t))

rewrite113.0ms

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:

10.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
10.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
43.0ms	(* (* y 4.0) (- (* z z) t))
47.0ms	(* (* y 4.0) (- (* z z) t))

series492.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
185.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
68.0ms	(* (* y 4.0) (- (* z z) t))
82.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.3s

Counts

92 → 92

Iterations

Iter	Nodes
done	5002
2	1547
1	285
0	101

prune493.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 3.7b

regimes1.2s

Accuracy

73.8% (0.9b remaining)

Error of 3.5b against oracle of 2.5b and baseline of 6.1b

bsearch1.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	25
1	25
0	20

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.5s

15761×

body

valid