Details

sample28.0ms

Algorithm

intervals

Results

13.0ms	249×	body	80	valid
1.0ms	3×	body	2560	valid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	320	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (fabs (- y x)) 2.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

26.0ms

(+ x (/ (fabs (- y x)) 2.0))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(+ x (/ (fabs (- y x)) 2.0))

simplify2.5s

Counts

16 → 16

Iterations

Iter	Nodes
done	5021
5	3047
4	1224
3	495
2	216
1	85
0	32

prune69.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.0b	(+ x (/ (fabs (- y x)) 2.0))
0.0b	(+ x (/ (fabs (- y x)) 2.0))
0.4b	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
30×	`sqrt-prod`
26×	`add-sqr-sqrt`
20×	`pow1`
14×	`sqrt-div`
13×	`add-cube-cbrt`
11×	`swap-sqr`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `distribute-lft-out`
8×	`add-log-exp`
7×	`associate-r` `associate-l`
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×	`+-commutative` `sum-log` `associate-l/` `associate-r/`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 106

Calls

4 calls:

24.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
11.0ms	(+ x (/ (fabs (- y x)) 2.0))
15.0ms	(+ x (/ (fabs (- y x)) 2.0))
89.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series158.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
28.0ms	(+ x (/ (fabs (- y x)) 2.0))
28.0ms	(+ x (/ (fabs (- y x)) 2.0))
30.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify2.3s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
3	2422
2	808
1	303
0	132

prune448.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.1b	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.2b	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
0.2b	(* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

rewrite354.0ms

Algorithm

rewrite-expression-head

Rules

116×	`sqrt-div`
62×	`sqrt-prod`
54×	`sqrt-pow1`
49×	`pow1`
38×	`add-sqr-sqrt`
35×	`flip3-+` `flip-+`
32×	`frac-times` `pow-prod-up`
30×	`pow1/2`
26×	`*-un-lft-identity`
20×	`associate-r`
16×	`associate-*l/` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
10×	`pow-prod-down` `associate-*r/`
8×	`associate-l`
6×	`pow3` `unswap-sqr`
5×	`distribute-lft-out`
4×	`rem-sqrt-square` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`sqrt-unprod`
2×	`pow-plus` `*-commutative`

Counts

4 → 171

Calls

4 calls:

28.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
16.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
113.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
185.0ms	(* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

series271.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
89.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
72.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
19.0ms	(* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify2.1s

Counts

183 → 183

Iterations

Iter	Nodes
done	5002
2	1939
1	669
0	260

prune846.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
0.2b	(* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (* (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))))
0.4b	(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
0.4b	(cbrt (* (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))

rewrite808.0ms

Algorithm

rewrite-expression-head

Rules

1608×	`sqrt-div`
604×	`frac-times`
444×	`flip3-+` `flip-+`
260×	`cbrt-div`
206×	`associate-*l/`
164×	`associate-*r/`
107×	`sqrt-prod`
66×	`add-sqr-sqrt`
43×	`pow1` `sqrt-pow1`
40×	`*-un-lft-identity`
24×	`associate-r`
23×	`pow1/2`
22×	`add-cube-cbrt`
18×	`swap-sqr` `associate-l`
15×	`pow-prod-up` `unswap-sqr`
13×	`add-exp-log`
11×	`add-cbrt-cube` `pow-prod-down`
8×	`distribute-lft-out`
5×	`prod-exp` `pow-sqr` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`pow3` `*-commutative`
2×	`cbrt-prod` `sqrt-unprod`
1×	`pow2` `rem-square-sqrt` `pow-plus` `pow1/3` `rem-cbrt-cube`

Counts

4 → 442

Calls

4 calls:

97.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
272.0ms	(* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (* (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))))
112.0ms	(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
232.0ms	(cbrt (* (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))

series271.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
31.0ms	(* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (* (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))))
49.0ms	(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
78.0ms	(cbrt (* (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))

simplify3.8s

Counts

454 → 454

Iterations

Iter	Nodes
done	5001
2	4755
1	1913
0	731

prune2.0s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample639.0ms

Algorithm

intervals

Results

377.0ms	7672×	body	80	valid
42.0ms	39×	body	320	valid
27.0ms	133×	body	1280	valid
16.0ms	79×	body	640	valid
15.0ms	57×	body	2560	valid
2.0ms	20×	body	160	valid