Details

sample140.0ms

Algorithm

intervals

Results

113.0ms

664×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* b b) (* a a))
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)))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

7.0ms	(+ (* b b) (* a a))
140.0ms	(- (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1) (* -4 (* b b)))
22.0ms	(* -4 (* b b))
42.0ms	(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (* b b) (* a a))
98.0ms	(- (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1) (* -4 (* b b)))
30.0ms	(* -4 (* b b))
50.0ms	(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))

simplify1.5s

Counts

95 → 95

Iterations

Iter	Nodes
done	5003
2	1656
1	464
0	136

prune409.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

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))))
7.1b	(sqrt (+ (* b b) (* a a)))
7.1b	(sqrt (+ (* b b) (* a a)))

rewrite184.0ms

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))))
32.0ms	(* (+ (* b b) (* a a)) (sqrt (+ (* b b) (* a a))))
6.0ms	(sqrt (+ (* b b) (* a a)))
7.0ms	(sqrt (+ (* b b) (* a a)))

series283.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (* (+ (* b b) (* a a)) (sqrt (+ (* b b) (* a a)))) (sqrt (+ (* b b) (* a a))))
123.0ms	(* (+ (* b b) (* a a)) (sqrt (+ (* b b) (* a a))))
57.0ms	(sqrt (+ (* b b) (* a a)))
47.0ms	(sqrt (+ (* b b) (* a a)))

simplify1.9s

Counts

132 → 132

Iterations

Iter	Nodes
done	5003
2	1444
1	426
0	157

prune603.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* b b) (* a a))
0.0b	(pow (sqrt (+ (* b b) (* a a))) 4)
0.0b	(* -4 (* b b))
7.1b	(sqrt (+ (* b b) (* a a)))

rewrite46.0ms

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-l` `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-r` `pow-exp` `*-commutative` `sqrt-pow2` `unswap-sqr` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

7.0ms	(+ (* b b) (* a a))
11.0ms	(pow (sqrt (+ (* b b) (* a a))) 4)
14.0ms	(* -4 (* b b))
13.0ms	(sqrt (+ (* b b) (* a a)))

series195.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* b b) (* a a))
63.0ms	(pow (sqrt (+ (* b b) (* a a))) 4)
45.0ms	(* -4 (* b b))
58.0ms	(sqrt (+ (* b b) (* a a)))

simplify2.8s

Counts

84 → 84

Iterations

Iter	Nodes
done	5002
3	4671
2	1103
1	333
0	118

prune380.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(* -4 (* b b))
0.3b	(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))
3.4b	(exp (log (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))
23.9b	(log (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

23.0ms	(* -4 (* b b))
53.0ms	(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))
51.0ms	(exp (log (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))
23.0ms	(log (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))

series209.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* -4 (* b b))
41.0ms	(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))
66.0ms	(exp (log (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))
58.0ms	(log (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))

simplify1.5s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
2	1612
1	472
0	163

prune481.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes194.0ms

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

sample3.5s

Algorithm

intervals

Results

3.0s

20122×

body

valid