Details

sample48.0ms

Algorithm

intervals

Results

34.0ms

269×

body

valid

simplify52.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	70
5	70
4	66
3	48
2	36
1	19
0	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.9b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.7b	(- (* b c) (* a d))
27.9b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-/r` `insert-posit16` `associate-/l`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

3 → 58

Calls

3 calls:

13.0ms	(+ (* c c) (* d d))
13.0ms	(- (* b c) (* a d))
31.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series213.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* c c) (* d d))
55.0ms	(- (* b c) (* a d))
125.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify1.3s

Counts

67 → 67

Iterations

Iter	Nodes
3	4079
2	1094
1	302
0	102

prune700.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 27.4b

localize34.0ms

Local error

Found 4 expressions with local error:

0.7b	(- (* b c) (* a d))
17.3b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
28.7b	(sqrt (+ (* c c) (* d d)))
28.7b	(sqrt (+ (* c c) (* d d)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `associate-/r*` `add-cbrt-cube` `sqrt-div` `add-exp-log` `add-log-exp`
4×	`insert-posit16`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

4 → 90

Calls

4 calls:

12.0ms	(- (* b c) (* a d))
38.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
8.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (* b c) (* a d))
144.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
38.0ms	(sqrt (+ (* c c) (* d d)))
57.0ms	(sqrt (+ (* c c) (* d d)))

simplify795.0ms

Counts

102 → 102

Iterations

Iter	Nodes
3	2495
2	890
1	310
0	121

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 24.5b

localize40.0ms

Local error

Found 4 expressions with local error:

11.9b	(/ (* b c) (sqrt (+ (* c c) (* d d))))
28.7b	(sqrt (+ (* c c) (* d d)))
28.7b	(sqrt (+ (* c c) (* d d)))
28.7b	(sqrt (+ (* c c) (* d d)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

15×	`sqrt-prod`
14×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-div`
7×	`pow1`
6×	`associate-/r*` `times-frac`
4×	`flip3-+` `flip-+` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`cbrt-undiv` `div-exp` `associate-/r/`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 78

Calls

4 calls:

15.0ms	(/ (* b c) (sqrt (+ (* c c) (* d d))))
7.0ms	(sqrt (+ (* c c) (* d d)))
10.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(/ (* b c) (sqrt (+ (* c c) (* d d))))
49.0ms	(sqrt (+ (* c c) (* d d)))
38.0ms	(sqrt (+ (* c c) (* d d)))
49.0ms	(sqrt (+ (* c c) (* d d)))

simplify724.0ms

Counts

90 → 90

Iterations

Iter	Nodes
3	2117
2	612
1	204
0	86

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 23.9b

localize30.0ms

Local error

Found 4 expressions with local error:

10.2b	(/ (* a d) (sqrt (+ (* c c) (* d d))))
28.7b	(sqrt (+ (* c c) (* d d)))
28.7b	(sqrt (+ (* c c) (* d d)))
28.7b	(sqrt (+ (* c c) (* d d)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

15×	`sqrt-prod`
14×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-div`
7×	`pow1`
6×	`associate-/r*` `times-frac`
4×	`flip3-+` `flip-+` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`cbrt-undiv` `div-exp` `associate-/r/`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 78

Calls

4 calls:

22.0ms	(/ (* a d) (sqrt (+ (* c c) (* d d))))
7.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))
11.0ms	(sqrt (+ (* c c) (* d d)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(/ (* a d) (sqrt (+ (* c c) (* d d))))
54.0ms	(sqrt (+ (* c c) (* d d)))
66.0ms	(sqrt (+ (* c c) (* d d)))
55.0ms	(sqrt (+ (* c c) (* d d)))

simplify719.0ms

Counts

90 → 90

Iterations

Iter	Nodes
3	2115
2	616
1	205
0	86

prune819.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 23.0b

regimes304.0ms

Accuracy

0% (0.4b remaining)

Error of 22.1b against oracle of 21.8b and baseline of 22.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	16
1	16
0	14

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.0s

8463×

body

valid