Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	7
0	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ y 200.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
3×	`*-un-lft-identity` `add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `sub-neg` `times-frac` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--`

Counts

1 → 16

Calls

1 calls:

11.0ms

(- x (/ y 200.0))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(- x (/ y 200.0))

simplify2.3s

Counts

19 → 19

Iterations

Iter	Nodes
done	5002
5	2996
4	1086
3	418
2	187
1	85
0	40

prune63.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- x (/ y 200.0)))
0.0b	(- x (/ y 200.0))
0.0b	(- x (/ y 200.0))
0.2b	(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt`
40×	`sqrt-prod`
33×	`*-un-lft-identity`
20×	`pow1`
14×	`sqrt-div` `difference-of-squares`
13×	`swap-sqr` `add-cube-cbrt`
9×	`sqrt-pow1` `flip3--` `pow1/2` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
8×	`add-log-exp`
7×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-up`
4×	`frac-times` `insert-posit16` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`sub-neg` `diff-log` `associate-l/` `associate-r/`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 120

Calls

4 calls:

15.0ms	(sqrt (- x (/ y 200.0)))
10.0ms	(- x (/ y 200.0))
10.0ms	(- x (/ y 200.0))
86.0ms	(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))

series199.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(sqrt (- x (/ y 200.0)))
29.0ms	(- x (/ y 200.0))
29.0ms	(- x (/ y 200.0))
45.0ms	(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))

simplify2.7s

Counts

132 → 132

Iterations

Iter	Nodes
done	5000
4	4536
3	1477
2	646
1	270
0	134

prune450.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))
0.3b	(cbrt (* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0)))))
0.3b	(cbrt (* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0)))))
0.3b	(cbrt (* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0)))))

rewrite499.0ms

Algorithm

rewrite-expression-head

Rules

167×	`add-sqr-sqrt`
136×	`sqrt-prod`
120×	`cbrt-prod`
95×	`*-un-lft-identity`
52×	`swap-sqr`
48×	`sqrt-div`
39×	`add-cube-cbrt`
36×	`associate-r` `associate-l`
32×	`difference-of-squares`
24×	`cbrt-div` `flip3--` `flip--` `distribute-lft-out--`
19×	`pow1`
16×	`frac-times` `times-frac` `unswap-sqr`
8×	`sqrt-pow1` `pow1/2` `associate-l/` `associate-r/`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-up`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `pow-sqr`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `cbrt-unprod`

Counts

4 → 240

Calls

4 calls:

108.0ms	(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))
122.0ms	(cbrt (* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0)))))
124.0ms	(cbrt (* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0)))))
133.0ms	(cbrt (* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))
341.0ms	(cbrt (* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0)))))
364.0ms	(cbrt (* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0)))))
348.0ms	(cbrt (* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0)))))

simplify1.8s

Counts

252 → 252

Iterations

Iter	Nodes
done	5001
3	1932
2	692
1	330
0	188

prune876.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (- x (/ y 200.0))))
0.3b	(cbrt (sqrt (- x (/ y 200.0))))
0.3b	(cbrt (sqrt (- x (/ y 200.0))))
0.3b	(cbrt (sqrt (- x (/ y 200.0))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
32×	`add-sqr-sqrt`
24×	`sqrt-prod`
20×	`*-un-lft-identity`
12×	`add-cube-cbrt`
8×	`cbrt-div` `sqrt-div` `difference-of-squares`
4×	`pow1` `times-frac` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

4 → 80

Calls

4 calls:

9.0ms	(cbrt (sqrt (- x (/ y 200.0))))
9.0ms	(cbrt (sqrt (- x (/ y 200.0))))
9.0ms	(cbrt (sqrt (- x (/ y 200.0))))
9.0ms	(cbrt (sqrt (- x (/ y 200.0))))

series1.5s

Counts

4 → 12

Calls

4 calls:

384.0ms	(cbrt (sqrt (- x (/ y 200.0))))
438.0ms	(cbrt (sqrt (- x (/ y 200.0))))
335.0ms	(cbrt (sqrt (- x (/ y 200.0))))
348.0ms	(cbrt (sqrt (- x (/ y 200.0))))

simplify1.7s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
4	1679
3	628
2	319
1	168
0	93

prune581.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes190.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
0	5

end0.0ms

sample575.0ms

Algorithm

intervals

Results

428.0ms

8000×

body

valid