Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	6	8
1	9	3
2	11	3
done	11	3

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(hypot x y)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `hypot-udef` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(hypot x y)

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(hypot x y)

simplify2.0s

Counts

13 → 13

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	17	60
1	22	58
2	25	52
3	30	52
4	36	52
5	46	52
6	67	52
7	146	52
8	431	52
9	1841	52
done	5001	52

prune46.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (hypot x y))
0.0b	(hypot x y)
0.0b	(hypot x y)
0.5b	(* (sqrt (hypot x y)) (sqrt (hypot x y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`hypot-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

2.0ms	(sqrt (hypot x y))
0.0ms	(hypot x y)
0.0ms	(hypot x y)
15.0ms	(* (sqrt (hypot x y)) (sqrt (hypot x y)))

series360.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(sqrt (hypot x y))
66.0ms	(hypot x y)
79.0ms	(hypot x y)
90.0ms	(* (sqrt (hypot x y)) (sqrt (hypot x y)))

simplify3.0s

Counts

98 → 98

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	86	890
1	159	563
2	365	505
3	783	486
4	1710	471
done	5000	458

prune200.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (hypot x y)) (cbrt (hypot x y)))
0.6b	(cbrt (hypot x y))
0.6b	(cbrt (hypot x y))
0.6b	(cbrt (hypot x y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (cbrt (hypot x y)) (cbrt (hypot x y)))
1.0ms	(cbrt (hypot x y))
1.0ms	(cbrt (hypot x y))
1.0ms	(cbrt (hypot x y))

series542.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (cbrt (hypot x y)) (cbrt (hypot x y)))
134.0ms	(cbrt (hypot x y))
116.0ms	(cbrt (hypot x y))
139.0ms	(cbrt (hypot x y))

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	78	896
1	148	817
2	360	758
3	809	693
4	2004	687
done	5000	650

prune388.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
28.5b	(sqrt (+ (* x x) (* y y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-log-exp`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `rem-sqrt-square` `fma-def` `sqrt-pow1` `pow1/2` `sum-log` `hypot-def`

Counts

2 → 32

Calls

2 calls:

8.0ms	(+ (* x x) (* y y))
10.0ms	(sqrt (+ (* x x) (* y y)))

series72.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* x x) (* y y))
40.0ms	(sqrt (+ (* x x) (* y y)))

simplify2.7s

Counts

38 → 38

Iterations

Useful iterations: 3 (358.0ms)

Iter	Nodes	Cost
0	52	413
1	134	285
2	396	237
3	1156	233
4	3429	233
done	5000	233

prune129.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
done	3	3

end0.0ms

sample697.0ms

Algorithm

intervals

Results

411.0ms

8000×

body

valid