Details

sample131.0ms

Algorithm

intervals

Results

106.0ms

638×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
6	2001
5	1449
4	529
3	151
2	53
1	28
0	12

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a a) (* b b))
0.0b	(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
0.0b	(* (* b b) 4)
0.3b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`flip3-+` `flip-+` `add-log-exp`
6×	`associate-r`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`swap-sqr`
2×	`distribute-rgt-in` `+-commutative` `associate-+r+` `sum-log` `distribute-lft-in` `associate-l/` `associate-r/` `*-commutative` `unswap-sqr`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 82

Calls

4 calls:

14.0ms	(+ (* a a) (* b b))
34.0ms	(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
33.0ms	(* (* b b) 4)
40.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (* a a) (* b b))
102.0ms	(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
33.0ms	(* (* b b) 4)
63.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify1.6s

Counts

94 → 94

Iterations

Iter	Nodes
done	2000
3	2000
2	1699
1	447
0	130

prune477.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
0.2b	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
9.0b	(sqrt (+ (* a a) (* b b)))
9.0b	(sqrt (+ (* a a) (* b b)))

rewrite517.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
35×	`flip3-+` `flip-+`
32×	`frac-times`
30×	`pow1`
19×	`add-sqr-sqrt`
16×	`associate-*r/`
15×	`pow-prod-up`
13×	`sqrt-prod`
12×	`sqrt-pow1` `pow1/2` `associate-l`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*l/`
6×	`pow-plus`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `cube-unmult` `*-commutative` `unswap-sqr`

Counts

4 → 131

Calls

4 calls:

456.0ms	(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
39.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
11.0ms	(sqrt (+ (* a a) (* b b)))
6.0ms	(sqrt (+ (* a a) (* b b)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
160.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
54.0ms	(sqrt (+ (* a a) (* b b)))
44.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.1s

Counts

143 → 143

Iterations

Iter	Nodes
done	2000
2	2000
1	546
0	166

prune737.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
0.0b	(pow (sqrt (+ (* a a) (* b b))) 4)
0.0b	(* (* b b) 4)
9.0b	(sqrt (+ (* a a) (* b b)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
11×	`add-sqr-sqrt`
10×	`add-exp-log`
9×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
6×	`unpow-prod-down` `sqrt-prod` `add-log-exp`
4×	`insert-posit16`
3×	`pow-unpow` `pow-pow` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sqrt-pow1` `flip3-+` `pow1/2` `sqrt-div` `flip-+`
1×	`pow-to-exp` `+-commutative` `rem-sqrt-square` `sum-log` `associate-l` `pow-exp` `*-commutative` `sqrt-pow2` `unswap-sqr` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

64.0ms	(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
15.0ms	(pow (sqrt (+ (* a a) (* b b))) 4)
29.0ms	(* (* b b) 4)
12.0ms	(sqrt (+ (* a a) (* b b)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
68.0ms	(pow (sqrt (+ (* a a) (* b b))) 4)
35.0ms	(* (* b b) 4)
41.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.1s

Counts

84 → 84

Iterations

Iter	Nodes
done	2005
3	2005
2	1120
1	365
0	127

prune407.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

9.0b	(sqrt (+ (* a a) (* b b)))
22.7b	(cbrt (* (* b b) 4))
22.7b	(cbrt (* (* b b) 4))
22.7b	(cbrt (* (* b b) 4))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
5×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`

Counts

4 → 46

Calls

4 calls:

12.0ms	(sqrt (+ (* a a) (* b b)))
20.0ms	(cbrt (* (* b b) 4))
10.0ms	(cbrt (* (* b b) 4))
11.0ms	(cbrt (* (* b b) 4))

series961.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sqrt (+ (* a a) (* b b)))
313.0ms	(cbrt (* (* b b) 4))
299.0ms	(cbrt (* (* b b) 4))
304.0ms	(cbrt (* (* b b) 4))

simplify1.1s

Counts

58 → 58

Iterations

Iter	Nodes
done	2003
4	2003
3	733
2	254
1	117
0	56

prune363.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes165.0ms

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	21
1	21
0	15

end0.0ms

sample3.6s

Algorithm

intervals

Results

3.1s

20446×

body

valid