Details

sample43.0ms

Algorithm

intervals

Results

17.0ms	321×	body	80	valid
2.0ms	8×	body	1280	valid
1.0ms	3×	body	640	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify54.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	60
4	60
3	50
2	34
1	19
0	8

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma z (+ 5.0 x) (* x y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma z (+ 5.0 x) (* x y))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(fma z (+ 5.0 x) (* x y))

simplify2.9s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	3568
3	475
2	99
1	39
0	21

prune92.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x y (* (+ 5.0 x) z))
0.0b	(* (+ 5.0 x) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `distribute-lft-out` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

0.0ms	(fma x y (* (+ 5.0 x) z))
19.0ms	(* (+ 5.0 x) z)

series99.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(fma x y (* (+ 5.0 x) z))
43.0ms	(* (+ 5.0 x) z)

simplify2.2s

Counts

39 → 39

Iterations

Iter	Nodes
done	5006
3	1947
2	425
1	141
0	60

prune223.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 5.0 x))
0.0b	(sqrt (+ 5.0 x))
0.2b	(* (sqrt (+ 5.0 x)) z)
0.3b	(* (sqrt (+ 5.0 x)) (* (sqrt (+ 5.0 x)) z))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`sqrt-div`
17×	`sqrt-prod`
14×	`associate-l`
13×	`pow1`
11×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*l/`
9×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `hypot-def` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

12.0ms	(sqrt (+ 5.0 x))
12.0ms	(sqrt (+ 5.0 x))
36.0ms	(* (sqrt (+ 5.0 x)) z)
85.0ms	(* (sqrt (+ 5.0 x)) (* (sqrt (+ 5.0 x)) z))

series275.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(sqrt (+ 5.0 x))
35.0ms	(sqrt (+ 5.0 x))
144.0ms	(* (sqrt (+ 5.0 x)) z)
51.0ms	(* (sqrt (+ 5.0 x)) (* (sqrt (+ 5.0 x)) z))

simplify1.8s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
3	3122
2	983
1	339
0	135

prune504.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 5.0 x))
0.1b	(* x (* x x))
1.2b	(* z (fma (* 5.0 5.0) 5.0 (* x (* x x))))
11.9b	(/ (* z (fma (* 5.0 5.0) 5.0 (* x (* x x)))) (+ (* 5.0 5.0) (- (* x x) (* 5.0 x))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
16×	`add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l` `add-log-exp`
5×	`prod-exp` `pow-prod-up` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `log1p-expm1-u`
3×	`associate-/r*` `times-frac`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `*-commutative` `fma-udef` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3-+` `pow-plus` `flip3--` `distribute-rgt-out--` `fma-neg` `diff-log` `cube-unmult` `prod-diff` `pow-sqr` `flip-+` `div-inv` `flip--` `associate-/l*`

Counts

4 → 90

Calls

4 calls:

9.0ms	(- (* x x) (* 5.0 x))
13.0ms	(* x (* x x))
6.0ms	(* z (fma (* 5.0 5.0) 5.0 (* x (* x x))))
40.0ms	(/ (* z (fma (* 5.0 5.0) 5.0 (* x (* x x)))) (+ (* 5.0 5.0) (- (* x x) (* 5.0 x))))

series539.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(- (* x x) (* 5.0 x))
61.0ms	(* x (* x x))
146.0ms	(* z (fma (* 5.0 5.0) 5.0 (* x (* x x))))
245.0ms	(/ (* z (fma (* 5.0 5.0) 5.0 (* x (* x x)))) (+ (* 5.0 5.0) (- (* x x) (* 5.0 x))))

simplify1.6s

Counts

102 → 102

Iterations

Iter	Nodes
done	5004
2	1332
1	396
0	159

prune491.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes146.0ms

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	9
1	9
0	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

823.0ms	9808×	body	80	valid
17.0ms	90×	body	1280	valid
15.0ms	100×	body	640	valid
9.0ms	68×	body	320	valid
3.0ms	36×	body	160	valid