Details

sample86.0ms

Algorithm

intervals

Results

29.0ms

466×

body

valid

simplify100.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	69
5	69
4	65
3	50
2	29
1	14
0	7

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 3 (* y y) (* x x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma 3 (* y y) (* x x))

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

(fma 3 (* y y) (* x x))

simplify9.0s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	907
3	222
2	74
1	33
0	21

prune259.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (* y (* y 3)))
0.1b	(* y (* y 3))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-r` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

1.0ms	(fma x x (* y (* y 3)))
47.0ms	(* y (* y 3))

series319.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(fma x x (* y (* y 3)))
229.0ms	(* y (* y 3))

simplify3.8s

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
3	1558
2	323
1	108
0	49

prune669.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (* y 3))
0.4b	(* (sqrt (* y (* y 3))) (sqrt (* y (* y 3))))
17.7b	(sqrt (* y (* y 3)))
17.7b	(sqrt (* y (* y 3)))

rewrite332.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`sqrt-prod`
5×	`associate-r`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

34.0ms	(* y (* y 3))
190.0ms	(* (sqrt (* y (* y 3))) (sqrt (* y (* y 3))))
25.0ms	(sqrt (* y (* y 3)))
53.0ms	(sqrt (* y (* y 3)))

series810.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* y (* y 3))
469.0ms	(* (sqrt (* y (* y 3))) (sqrt (* y (* y 3))))
68.0ms	(sqrt (* y (* y 3)))
206.0ms	(sqrt (* y (* y 3)))

simplify14.1s

Counts

128 → 128

Iterations

Iter	Nodes
done	5001
3	2149
2	551
1	209
0	85

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt (* y (* y 3))) (sqrt (sqrt (* y (* y 3))))) (sqrt (sqrt (* y (* y 3)))))
17.7b	(sqrt (* y (* y 3)))
17.7b	(sqrt (* y (* y 3)))
17.7b	(sqrt (* y (* y 3)))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

336×	`pow1`
294×	`sqrt-pow1`
167×	`pow-prod-down`
137×	`pow-prod-up`
58×	`pow1/2`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `sqrt-prod`
7×	`associate-r`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`sqrt-unprod` `pow3`
1×	`pow-plus` `associate-l` `*-commutative`

Counts

4 → 141

Calls

4 calls:

1.5s	(* (* (sqrt (* y (* y 3))) (sqrt (sqrt (* y (* y 3))))) (sqrt (sqrt (* y (* y 3)))))
22.0ms	(sqrt (* y (* y 3)))
28.0ms	(sqrt (* y (* y 3)))
29.0ms	(sqrt (* y (* y 3)))

series1.0s

Counts

4 → 12

Calls

4 calls:

292.0ms	(* (* (sqrt (* y (* y 3))) (sqrt (sqrt (* y (* y 3))))) (sqrt (sqrt (* y (* y 3)))))
106.0ms	(sqrt (* y (* y 3)))
466.0ms	(sqrt (* y (* y 3)))
149.0ms	(sqrt (* y (* y 3)))

simplify9.4s

Counts

153 → 153

Iterations

Iter	Nodes
done	5071
3	1939
2	510
1	222
0	85

prune1.5s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes469.0ms

Accuracy

0% (0.1b 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	6

end0.0ms

sample6.5s

Algorithm

intervals

Results

6.0s

14262×

body

valid