Details

sample76.0ms

Algorithm

intervals

Results

59.0ms

620×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

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:

30.0ms	(* (* b b) 4)
13.0ms	(+ (* a a) (* b b))
11.0ms	(+ (* a a) (* b b))
43.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* b b) 4)
48.0ms	(+ (* a a) (* b b))
34.0ms	(+ (* a a) (* b b))
49.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify3.6s

Counts

92 → 92

Iterations

Iter	Nodes
3	6815
2	1511
1	378
0	108

prune877.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

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))))
8.6b	(sqrt (+ (* a a) (* b b)))
8.6b	(sqrt (+ (* a a) (* b b)))

rewrite147.0ms

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:

58.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
73.0ms	(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
6.0ms	(sqrt (+ (* a a) (* b b)))
6.0ms	(sqrt (+ (* a a) (* b b)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
66.0ms	(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
46.0ms	(sqrt (+ (* a a) (* b b)))
50.0ms	(sqrt (+ (* a a) (* b b)))

simplify726.0ms

Counts

143 → 143

Iterations

Iter	Nodes
2	2292
1	546
0	166

prune1.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize23.0ms

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)
8.6b	(sqrt (+ (* a a) (* b b)))

rewrite58.0ms

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:

31.0ms	(* (* b b) 4)
13.0ms	(+ (* a a) (* b b))
8.0ms	(pow (sqrt (+ (* a a) (* b b))) 4)
6.0ms	(sqrt (+ (* a a) (* b b)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* b b) 4)
50.0ms	(+ (* a a) (* b b))
82.0ms	(pow (sqrt (+ (* a a) (* b b))) 4)
47.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.8s

Counts

84 → 84

Iterations

Iter	Nodes
3	2728
2	949
1	310
0	116

prune895.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt (+ (* a a) (* b b)))) (sqrt (cbrt (+ (* a a) (* b b)))))
8.6b	(sqrt (+ (* a a) (* b b)))
9.2b	(cbrt (+ (* a a) (* b b)))
9.2b	(cbrt (+ (* a a) (* b b)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

36.0ms	(* (fabs (cbrt (+ (* a a) (* b b)))) (sqrt (cbrt (+ (* a a) (* b b)))))
6.0ms	(sqrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))

series423.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (fabs (cbrt (+ (* a a) (* b b)))) (sqrt (cbrt (+ (* a a) (* b b)))))
51.0ms	(sqrt (+ (* a a) (* b b)))
112.0ms	(cbrt (+ (* a a) (* b b)))
119.0ms	(cbrt (+ (* a a) (* b b)))

simplify1.0s

Counts

85 → 85

Iterations

Iter	Nodes
3	2377
2	822
1	278
0	130

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes93.0ms

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

20611×

body

valid