Details

sample118.0ms

Algorithm

intervals

Results

95.0ms

659×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
6	3785
5	1494
4	533
3	147
2	51
1	26
0	12

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

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×	`+-commutative` `sum-log` `associate-l/` `associate-r/` `*-commutative` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 80

Calls

4 calls:

9.0ms	(+ (* a a) (* b b))
14.0ms	(+ (* a a) (* b b))
24.0ms	(* (* b b) 4)
48.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* a a) (* b b))
33.0ms	(+ (* a a) (* b b))
46.0ms	(* (* b b) 4)
40.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify3.6s

Counts

92 → 92

Iterations

Iter	Nodes
3	6692
2	1488
1	372
0	108

prune914.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

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)))
8.3b	(sqrt (+ (* a a) (* b b)))
8.3b	(sqrt (+ (* a a) (* b b)))

rewrite219.0ms

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:

143.0ms	(* (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)))
13.0ms	(sqrt (+ (* a a) (* b b)))
19.0ms	(sqrt (+ (* a a) (* b b)))

series333.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
137.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
60.0ms	(sqrt (+ (* a a) (* b b)))
67.0ms	(sqrt (+ (* a a) (* b b)))

simplify724.0ms

Counts

143 → 143

Iterations

Iter	Nodes
2	2271
1	544
0	166

prune1.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* b b) 4)
0.0b	(+ (* a a) (* b b))
0.0b	(pow (sqrt (+ (* a a) (* b b))) 4)
8.3b	(sqrt (+ (* a a) (* b b)))

rewrite45.0ms

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:

20.0ms	(* (* b b) 4)
8.0ms	(+ (* a a) (* b b))
8.0ms	(pow (sqrt (+ (* a a) (* b b))) 4)
7.0ms	(sqrt (+ (* a a) (* b b)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* b b) 4)
31.0ms	(+ (* a a) (* b b))
76.0ms	(pow (sqrt (+ (* a a) (* b b))) 4)
63.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.9s

Counts

84 → 84

Iterations

Iter	Nodes
3	2644
2	967
1	309
0	116

prune870.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize72.0ms

Local error

Found 4 expressions with local error:

8.3b	(sqrt (+ (* a a) (* b b)))
8.9b	(cbrt (+ (* a a) (* b b)))
8.9b	(cbrt (+ (* a a) (* b b)))
8.9b	(cbrt (+ (* a a) (* b b)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

12.0ms	(sqrt (+ (* a a) (* b b)))
8.0ms	(cbrt (+ (* a a) (* b b)))
8.0ms	(cbrt (+ (* a a) (* b b)))
8.0ms	(cbrt (+ (* a a) (* b b)))

series460.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(sqrt (+ (* a a) (* b b)))
142.0ms	(cbrt (+ (* a a) (* b b)))
117.0ms	(cbrt (+ (* a a) (* b b)))
145.0ms	(cbrt (+ (* a a) (* b b)))

simplify1.1s

Counts

70 → 70

Iterations

Iter	Nodes
4	2674
3	956
2	339
1	142
0	67

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes163.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	15
1	15
0	12

end0.0ms

sample3.5s

Algorithm

intervals

Results

3.0s

20389×

body

valid