Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

345×

body

valid

simplify21.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	6	7
1	14	7
2	23	6
3	27	6
done	27	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

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` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

20.0ms

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

series87.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

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

simplify1.8s

Counts

27 → 27

Iterations

Useful iterations: 2 (113.0ms)

Iter	Nodes	Cost
0	52	263
1	147	256
2	478	199
3	1717	199
done	5000	199

prune114.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.7b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r`
7×	`associate-l`
4×	`expm1-log1p-u` `sqrt-div` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `associate-r/` `-commutative` `flip-+` `unswap-sqr`
1×	`hypot-def`

Counts

4 → 82

Calls

4 calls:

14.0ms	(* (sqrt (fma y y 1.0)) x)
55.0ms	(* (* (sqrt (fma y y 1.0)) x) (sqrt (+ 1.0 (* y y))))
11.0ms	(sqrt (+ 1.0 (* y y)))
3.0ms	(sqrt (fma y y 1.0))

series436.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (sqrt (fma y y 1.0)) x)
173.0ms	(* (* (sqrt (fma y y 1.0)) x) (sqrt (+ 1.0 (* y y))))
56.0ms	(sqrt (+ 1.0 (* y y)))
89.0ms	(sqrt (fma y y 1.0))

simplify2.7s

Counts

94 → 94

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	140	1186
1	323	1015
2	990	819
3	2984	813
done	5000	812

prune356.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 4.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (cbrt (fma y y 1.0)) (* (cbrt (fma y y 1.0)) x)) (cbrt (+ 1.0 (* y y))))
4.7b	(cbrt (+ 1.0 (* y y)))
4.7b	(cbrt (fma y y 1.0))
4.7b	(cbrt (fma y y 1.0))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `cbrt-div` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`associate-l` `*-commutative`

Counts

4 → 69

Calls

4 calls:

79.0ms	(* (* (cbrt (fma y y 1.0)) (* (cbrt (fma y y 1.0)) x)) (cbrt (+ 1.0 (* y y))))
3.0ms	(cbrt (+ 1.0 (* y y)))
1.0ms	(cbrt (fma y y 1.0))
1.0ms	(cbrt (fma y y 1.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

425.0ms	(* (* (cbrt (fma y y 1.0)) (* (cbrt (fma y y 1.0)) x)) (cbrt (+ 1.0 (* y y))))
244.0ms	(cbrt (+ 1.0 (* y y)))
227.0ms	(cbrt (fma y y 1.0))
243.0ms	(cbrt (fma y y 1.0))

simplify3.5s

Counts

81 → 81

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	139	1364
1	350	1259
2	1162	970
3	4226	863
done	5000	863

prune279.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 4.7b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

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`
6×	`fma-udef`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 77

Calls

4 calls:

3.0ms	(cbrt (* x (fma y y 1.0)))
7.0ms	(* x (fma y y 1.0))
14.0ms	(* x (fma y y 1.0))
12.0ms	(* x (fma y y 1.0))

series439.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(cbrt (* x (fma y y 1.0)))
60.0ms	(* x (fma y y 1.0))
67.0ms	(* x (fma y y 1.0))
63.0ms	(* x (fma y y 1.0))

simplify1.8s

Counts

89 → 89

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	86	844
1	185	821
2	440	714
3	1306	701
done	5001	677

prune225.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 4.6b

regimes149.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample704.0ms

Algorithm

intervals

Results

320.0ms

10678×

body

valid