Details

sample68.0ms

Algorithm

intervals

Results

49.0ms

267×

body

valid

simplify73.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.5b	(- (* b c) (* a d))
25.0b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite43.0ms

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:

8.0ms	(+ (* c c) (* d d))
9.0ms	(- (* b c) (* a d))
26.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series241.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ (* c c) (* d d))
56.0ms	(- (* b c) (* a d))
137.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify2.7s

Counts

67 → 67

Iterations

Iter	Nodes
done	5016
3	4367
2	1065
1	303
0	102

prune391.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 24.6b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* b c) (* a d))
16.8b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
28.8b	(sqrt (+ (* c c) (* d d)))
28.8b	(sqrt (+ (* c c) (* d d)))

rewrite68.0ms

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:

7.0ms	(- (* b c) (* a d))
36.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
12.0ms	(sqrt (+ (* c c) (* d d)))
12.0ms	(sqrt (+ (* c c) (* d d)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (* b c) (* a d))
147.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
64.0ms	(sqrt (+ (* c c) (* d d)))
60.0ms	(sqrt (+ (* c c) (* d d)))

simplify2.0s

Counts

102 → 102

Iterations

Iter	Nodes
done	5004
3	2496
2	897
1	311
0	121

prune528.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 22.6b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* b c) (* a d))
16.8b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
28.8b	(sqrt (+ (* c c) (* d d)))
28.8b	(sqrt (+ (* c c) (* d d)))

rewrite52.0ms

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:

7.0ms	(- (* b c) (* a d))
31.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* b c) (* a d))
136.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
60.0ms	(sqrt (+ (* c c) (* d d)))
56.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.7s

Counts

102 → 102

Iterations

Iter	Nodes
done	5004
3	2496
2	897
1	311
0	121

prune559.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 22.6b

localize39.0ms

Local error

Found 4 expressions with local error:

9.2b	(/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))
28.8b	(sqrt (+ (* c c) (* d d)))
28.8b	(sqrt (+ (* c c) (* d d)))
28.8b	(sqrt (+ (* c c) (* d d)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

45×	`sqrt-prod`
32×	`add-sqr-sqrt`
29×	`*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
10×	`sqrt-div`
9×	`associate-/r*`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
4×	`flip3-+` `flip-+` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/l*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `div-inv` `flip--`

Counts

4 → 105

Calls

4 calls:

39.0ms	(/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))
11.0ms	(sqrt (+ (* c c) (* d d)))

series357.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))
41.0ms	(sqrt (+ (* c c) (* d d)))
38.0ms	(sqrt (+ (* c c) (* d d)))
48.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.8s

Counts

117 → 117

Iterations

Iter	Nodes
done	5005
3	2494
2	913
1	340
0	144

prune635.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 22.6b

regimes381.0ms

Accuracy

0% (2.5b remaining)

Error of 25.7b against oracle of 23.2b and baseline of 25.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	21
1	21
0	15

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

8448×

body

valid