Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

345×

body

valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	14	7
2	20	7
3	22	7
done	22	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize13.0ms

Local error

Found 1 expressions with local error:

4.5b	(* x (+ 1.0 (* y y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

24.0ms

(* x (+ 1.0 (* y y)))

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

(* x (+ 1.0 (* y y)))

simplify2.5s

Counts

25 → 25

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	50	247
1	143	240
2	451	206
3	1576	206
done	5000	206

prune48.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (sqrt (+ 1.0 (* y y))))
0.1b	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
4.5b	(sqrt (+ 1.0 (* y y)))
4.5b	(sqrt (+ 1.0 (* y y)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-div`
17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

27.0ms	(* x (sqrt (+ 1.0 (* y y))))
66.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
7.0ms	(sqrt (+ 1.0 (* y y)))
7.0ms	(sqrt (+ 1.0 (* y y)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* x (sqrt (+ 1.0 (* y y))))
70.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
43.0ms	(sqrt (+ 1.0 (* y y)))
60.0ms	(sqrt (+ 1.0 (* y y)))

simplify1.7s

Counts

95 → 95

Iterations

Useful iterations: 3 (732.0ms)

Iter	Nodes	Cost
0	122	1468
1	303	1152
2	835	1012
3	2746	1002
done	5002	1002

prune278.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 4.6b

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b	(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
4.7b	(cbrt (+ 1.0 (* y y)))
4.7b	(cbrt (+ 1.0 (* y y)))
4.7b	(cbrt (+ 1.0 (* y y)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `flip3-+` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

68.0ms	(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
5.0ms	(cbrt (+ 1.0 (* y y)))
5.0ms	(cbrt (+ 1.0 (* y y)))
5.0ms	(cbrt (+ 1.0 (* y y)))

series822.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
183.0ms	(cbrt (+ 1.0 (* y y)))
233.0ms	(cbrt (+ 1.0 (* y y)))
220.0ms	(cbrt (+ 1.0 (* y y)))

simplify1.7s

Counts

78 → 78

Iterations

Useful iterations: 3 (637.0ms)

Iter	Nodes	Cost
0	125	1323
1	298	1228
2	783	1109
3	2059	1065
done	5001	1065

prune349.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 4.6b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* x (+ 1.0 (* y y))))
4.5b	(* x (+ 1.0 (* y y)))
4.5b	(* x (+ 1.0 (* y y)))
4.5b	(* x (+ 1.0 (* y y)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
8×	`associate-*r/`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 77

Calls

4 calls:

10.0ms	(cbrt (* x (+ 1.0 (* y y))))
25.0ms	(* x (+ 1.0 (* y y)))
19.0ms	(* x (+ 1.0 (* y y)))
32.0ms	(* x (+ 1.0 (* y y)))

series505.0ms

Counts

4 → 12

Calls

4 calls:

275.0ms	(cbrt (* x (+ 1.0 (* y y))))
66.0ms	(* x (+ 1.0 (* y y)))
78.0ms	(* x (+ 1.0 (* y y)))
85.0ms	(* x (+ 1.0 (* y y)))

simplify1.7s

Counts

89 → 89

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	99	988
1	260	959
2	718	826
3	2228	810
done	5001	803

prune257.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 4.6b

regimes107.0ms

Accuracy

0% (0.2b remaining)

Error of 5.4b against oracle of 5.2b and baseline of 5.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample759.0ms

Algorithm

intervals

Results

377.0ms

10678×

body

valid