Details

sample114.0ms

Algorithm

intervals

Results

93.0ms

641×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
6	3490
5	1450
4	532
3	149
2	53
1	28
0	12

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

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)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

36.0ms	(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
15.0ms	(* (* b b) 4)
34.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

series178.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
49.0ms	(* (* b b) 4)
59.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify3.9s

Counts

79 → 79

Iterations

Iter	Nodes
3	7077
2	1615
1	424
0	124

prune778.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
0.2b	(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
10.0b	(sqrt (+ (* a a) (* b b)))
10.0b	(sqrt (+ (* a a) (* b b)))

rewrite123.0ms

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:

37.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
69.0ms	(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
6.0ms	(sqrt (+ (* a a) (* b b)))
8.0ms	(sqrt (+ (* a a) (* b b)))

series282.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
44.0ms	(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
57.0ms	(sqrt (+ (* a a) (* b b)))
70.0ms	(sqrt (+ (* a a) (* b b)))

simplify741.0ms

Counts

143 → 143

Iterations

Iter	Nodes
2	2292
1	546
0	166

prune1.7s

Pruning

4 alts after pruning (3 fresh and 1 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)
10.0b	(sqrt (+ (* a a) (* b b)))

rewrite125.0ms

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:

59.0ms	(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
16.0ms	(pow (sqrt (+ (* a a) (* b b))) 4)
36.0ms	(* (* b b) 4)
12.0ms	(sqrt (+ (* a a) (* b b)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
87.0ms	(pow (sqrt (+ (* a a) (* b b))) 4)
48.0ms	(* (* b b) 4)
70.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.6s

Counts

84 → 84

Iterations

Iter	Nodes
3	2912
2	980
1	329
0	127

prune844.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* b b) (* (cbrt 4) (cbrt 4)))
0.2b	(* (* (* b b) (* (cbrt 4) (cbrt 4))) (cbrt 4))
0.3b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
1.0b	(* (cbrt 4) (cbrt 4))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

64×	`pow1`
38×	`add-exp-log`
30×	`pow-prod-down`
28×	`add-sqr-sqrt`
23×	`add-cbrt-cube` `prod-exp` `cbrt-unprod`
19×	`cbrt-prod`
18×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-r`
11×	`associate-l`
9×	`swap-sqr`
7×	`pow-prod-up`
6×	`flip3-+` `pow-plus` `pow1/3` `flip-+` `unswap-sqr`
5×	`pow-sqr`
4×	`pow2` `frac-times` `*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-l/` `associate-r/`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 138

Calls

4 calls:

35.0ms	(* (* b b) (* (cbrt 4) (cbrt 4)))
87.0ms	(* (* (* b b) (* (cbrt 4) (cbrt 4))) (cbrt 4))
67.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
15.0ms	(* (cbrt 4) (cbrt 4))

series348.0ms

Counts

4 → 10

Calls

4 calls:

149.0ms	(* (* b b) (* (cbrt 4) (cbrt 4)))
144.0ms	(* (* (* b b) (* (cbrt 4) (cbrt 4))) (cbrt 4))
56.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
0.0ms	(* (cbrt 4) (cbrt 4))

simplify739.0ms

Counts

148 → 148

Iterations

Iter	Nodes
2	2349
1	539
0	163

prune1.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes173.0ms

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	17
1	17
0	12

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.7s

20350×

body

valid