Details

sample102.0ms

Algorithm

intervals

Results

60.0ms

643×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	3602
5	1449
4	529
3	151
2	53
1	28
0	12

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1) (* -4 (* b b)))
0.0b	(* -4 (* b b))
0.3b	(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))

rewrite285.0ms

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` `add-log-exp`
6×	`flip3-+` `associate-l` `flip-+`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`swap-sqr` `insert-posit16`
2×	`diff-log` `associate-l/` `associate-r/` `*-commutative` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `sum-log` `sub-neg` `distribute-lft-in` `pow-plus` `flip3--` `associate--l+` `pow-sqr` `pow-prod-up` `flip--`

Counts

3 → 71

Calls

3 calls:

192.0ms	(- (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1) (* -4 (* b b)))
17.0ms	(* -4 (* b b))
73.0ms	(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))

series210.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(- (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1) (* -4 (* b b)))
43.0ms	(* -4 (* b b))
64.0ms	(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))

simplify1.5s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	1625
1	448
0	130

prune284.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (+ (* b b) (* a a)) (sqrt (+ (* b b) (* a a)))) (sqrt (+ (* b b) (* a a))))
0.2b	(* (+ (* b b) (* a a)) (sqrt (+ (* b b) (* a a))))
10.2b	(sqrt (+ (* b b) (* a a)))
10.2b	(sqrt (+ (* b b) (* a a)))

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
35×	`flip3-+` `flip-+`
32×	`frac-times`
25×	`pow1`
20×	`add-sqr-sqrt`
16×	`associate-*l/`
13×	`sqrt-prod`
12×	`associate-r`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `pow-prod-up` `add-cube-cbrt`
10×	`associate-*r/`
7×	`sqrt-pow1` `pow1/2`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow3`
2×	`rem-sqrt-square` `*-commutative` `unswap-sqr`
1×	`pow-plus`

Counts

4 → 120

Calls

4 calls:

135.0ms	(* (* (+ (* b b) (* a a)) (sqrt (+ (* b b) (* a a)))) (sqrt (+ (* b b) (* a a))))
94.0ms	(* (+ (* b b) (* a a)) (sqrt (+ (* b b) (* a a))))
16.0ms	(sqrt (+ (* b b) (* a a)))
17.0ms	(sqrt (+ (* b b) (* a a)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* (+ (* b b) (* a a)) (sqrt (+ (* b b) (* a a)))) (sqrt (+ (* b b) (* a a))))
142.0ms	(* (+ (* b b) (* a a)) (sqrt (+ (* b b) (* a a))))
45.0ms	(sqrt (+ (* b b) (* a a)))
56.0ms	(sqrt (+ (* b b) (* a a)))

simplify1.8s

Counts

132 → 132

Iterations

Iter	Nodes
done	5003
2	1444
1	426
0	157

prune747.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (pow (sqrt (+ (* b b) (* a a))) 4) -1) (* -4 (* b b)))
0.0b	(* -4 (* b b))
0.0b	(pow (sqrt (+ (* b b) (* a a))) 4)
10.2b	(sqrt (+ (* b b) (* a a)))

rewrite616.0ms

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` `add-log-exp`
6×	`unpow-prod-down` `sqrt-prod`
4×	`insert-posit16`
3×	`pow-unpow` `pow-pow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `diff-log`
1×	`pow-to-exp` `rem-sqrt-square` `sum-log` `sub-neg` `flip3-+` `flip3--` `associate-r` `pow-exp` `associate--l+` `*-commutative` `flip-+` `sqrt-pow2` `flip--` `unswap-sqr` `sqr-pow`

Counts

4 → 75

Calls

4 calls:

563.0ms	(- (+ (pow (sqrt (+ (* b b) (* a a))) 4) -1) (* -4 (* b b)))
17.0ms	(* -4 (* b b))
19.0ms	(pow (sqrt (+ (* b b) (* a a))) 4)
16.0ms	(sqrt (+ (* b b) (* a a)))

series282.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(- (+ (pow (sqrt (+ (* b b) (* a a))) 4) -1) (* -4 (* b b)))
54.0ms	(* -4 (* b b))
74.0ms	(pow (sqrt (+ (* b b) (* a a))) 4)
48.0ms	(sqrt (+ (* b b) (* a a)))

simplify1.4s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1181
1	385
0	137

prune404.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (* b b) (* a a)) (sqrt (+ (* b b) (* a a))))
10.2b	(sqrt (+ (* b b) (* a a)))
10.2b	(sqrt (+ (* b b) (* a a)))
16.9b	(cbrt (* (+ (* b b) (* a a)) (sqrt (+ (* b b) (* a a)))))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`sqrt-div`
14×	`flip3-+` `flip-+`
11×	`pow1`
10×	`sqrt-prod`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`frac-times` `cbrt-div`
6×	`add-cbrt-cube` `associate-r` `add-exp-log`
4×	`associate-l/` `associate-r/` `insert-posit16` `add-log-exp`
3×	`sqrt-pow1` `pow1/2` `associate-l`
2×	`rem-sqrt-square` `pow3` `pow-prod-up` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

60.0ms	(* (+ (* b b) (* a a)) (sqrt (+ (* b b) (* a a))))
15.0ms	(sqrt (+ (* b b) (* a a)))
16.0ms	(sqrt (+ (* b b) (* a a)))
35.0ms	(cbrt (* (+ (* b b) (* a a)) (sqrt (+ (* b b) (* a a)))))

series284.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (+ (* b b) (* a a)) (sqrt (+ (* b b) (* a a))))
47.0ms	(sqrt (+ (* b b) (* a a)))
46.0ms	(sqrt (+ (* b b) (* a a)))
60.0ms	(cbrt (* (+ (* b b) (* a a)) (sqrt (+ (* b b) (* a a)))))

simplify2.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	5002
3	4058
2	856
1	237
0	110

prune591.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes161.0ms

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
done	16
1	16
0	13

end0.0ms

sample2.7s

Algorithm

intervals

Results

2.3s

20753×

body

valid