Details

sample74.0ms

Algorithm

intervals

Results

34.0ms

466×

body

valid

simplify47.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	46
3	46
2	35
1	17
0	9

prune82.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y y) (* (+ (* y 2.0) x) x))
0.0b	(* (+ (* y 2.0) x) x)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

19.0ms	(+ (* y y) (* (+ (* y 2.0) x) x))
56.0ms	(* (+ (* y 2.0) x) x)

series128.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (* y y) (* (+ (* y 2.0) x) x))
82.0ms	(* (+ (* y 2.0) x) x)

simplify11.2s

Counts

37 → 37

Iterations

Iter	Nodes
done	5002
3	2964
2	695
1	204
0	69

prune400.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize75.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y y) (+ (* (* y 2.0) x) (* x x)))
0.0b	(+ (* (* y 2.0) x) (* x x))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+r+` `distribute-rgt-out`

Counts

2 → 25

Calls

2 calls:

125.0ms	(+ (* y y) (+ (* (* y 2.0) x) (* x x)))
35.0ms	(+ (* (* y 2.0) x) (* x x))

series320.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(+ (* y y) (+ (* (* y 2.0) x) (* x x)))
228.0ms	(+ (* (* y 2.0) x) (* x x))

simplify14.6s

Counts

31 → 31

Iterations

Iter	Nodes
done	5000
3	4936
2	841
1	203
0	59

prune270.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* y 2.0) x) x)
0.0b	(* (sqrt (+ (* y y) (* (+ (* y 2.0) x) x))) (sqrt (+ (* y y) (* (+ (* y 2.0) x) x))))
3.9b	(sqrt (+ (* y y) (* (+ (* y 2.0) x) x)))
3.9b	(sqrt (+ (* y y) (* (+ (* y 2.0) x) x)))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`pow1`
16×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `associate-r` `associate-l` `flip-+`
8×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `pow-prod-down` `associate-*l/` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 107

Calls

4 calls:

59.0ms	(* (+ (* y 2.0) x) x)
173.0ms	(* (sqrt (+ (* y y) (* (+ (* y 2.0) x) x))) (sqrt (+ (* y y) (* (+ (* y 2.0) x) x))))
17.0ms	(sqrt (+ (* y y) (* (+ (* y 2.0) x) x)))
15.0ms	(sqrt (+ (* y y) (* (+ (* y 2.0) x) x)))

series491.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (+ (* y 2.0) x) x)
49.0ms	(* (sqrt (+ (* y y) (* (+ (* y 2.0) x) x))) (sqrt (+ (* y y) (* (+ (* y 2.0) x) x))))
113.0ms	(sqrt (+ (* y y) (* (+ (* y 2.0) x) x)))
234.0ms	(sqrt (+ (* y y) (* (+ (* y 2.0) x) x)))

simplify5.6s

Counts

119 → 119

Iterations

Iter	Nodes
done	5002
3	2991
2	861
1	312
0	129

prune887.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize92.0ms

Local error

Found 4 expressions with local error:

3.9b	(sqrt (+ (* y y) (* (+ (* y 2.0) x) x)))
6.0b	(cbrt (* (+ (* y 2.0) x) x))
6.0b	(cbrt (* (+ (* y 2.0) x) x))
6.0b	(cbrt (* (+ (* y 2.0) x) x))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `cbrt-div` `associate-*l/`
5×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 48

Calls

4 calls:

17.0ms	(sqrt (+ (* y y) (* (+ (* y 2.0) x) x)))
19.0ms	(cbrt (* (+ (* y 2.0) x) x))
18.0ms	(cbrt (* (+ (* y 2.0) x) x))
25.0ms	(cbrt (* (+ (* y 2.0) x) x))

series1.7s

Counts

4 → 12

Calls

4 calls:

112.0ms	(sqrt (+ (* y y) (* (+ (* y 2.0) x) x)))
519.0ms	(cbrt (* (+ (* y 2.0) x) x))
543.0ms	(cbrt (* (+ (* y 2.0) x) x))
531.0ms	(cbrt (* (+ (* y 2.0) x) x))

simplify3.1s

Counts

60 → 60

Iterations

Iter	Nodes
done	5004
3	2413
2	679
1	252
0	106

prune707.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes148.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample3.0s

Algorithm

intervals

Results

2.5s

14252×

body

valid