Details

sample57.0ms

Algorithm

intervals

Results

39.0ms

263×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
1	15
0	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.3b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.8b	(+ (* a c) (* b d))
27.3b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite74.0ms

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`
4×	`flip3-+` `flip-+`
3×	`pow1` `associate-/r` `insert-posit16` `associate-/l`
2×	`+-commutative` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 56

Calls

3 calls:

8.0ms	(+ (* c c) (* d d))
8.0ms	(+ (* a c) (* b d))
57.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series190.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* c c) (* d d))
62.0ms	(+ (* a c) (* b d))
96.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify1.1s

Counts

65 → 65

Iterations

Iter	Nodes
done	5002
2	1602
1	297
0	99

prune349.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 26.8b

localize31.0ms

Local error

Found 4 expressions with local error:

0.8b	(+ (* a c) (* b d))
18.4b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
28.3b	(sqrt (+ (* c c) (* d d)))
28.3b	(sqrt (+ (* c c) (* d d)))

rewrite67.0ms

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`
5×	`flip3-+` `flip-+`
4×	`insert-posit16`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 88

Calls

4 calls:

10.0ms	(+ (* a c) (* b d))
44.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (* a c) (* b d))
144.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
46.0ms	(sqrt (+ (* c c) (* d d)))
46.0ms	(sqrt (+ (* c c) (* d d)))

simplify975.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1024
1	281
0	117

prune610.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 24.8b

localize37.0ms

Local error

Found 4 expressions with local error:

0.8b	(+ (* a c) (* b d))
18.4b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
28.3b	(sqrt (+ (* c c) (* d d)))
28.3b	(sqrt (+ (* c c) (* d d)))

rewrite70.0ms

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`
5×	`flip3-+` `flip-+`
4×	`insert-posit16`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 88

Calls

4 calls:

14.0ms	(+ (* a c) (* b d))
37.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
7.0ms	(sqrt (+ (* c c) (* d d)))
10.0ms	(sqrt (+ (* c c) (* d d)))

series280.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (* a c) (* b d))
128.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
50.0ms	(sqrt (+ (* c c) (* d d)))
51.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.0s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1024
1	281
0	117

prune494.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 24.8b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.7b	(/ 1 (+ (* c c) (* d d)))
0.8b	(+ (* a c) (* b d))
26.7b	(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`times-frac` `add-cube-cbrt`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
6×	`flip3-+` `flip-+`
4×	`div-exp` `prod-exp` `associate-/r/` `insert-posit16`
3×	`associate-/r` `associate-l` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `+-commutative` `rec-exp` `sum-log` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 101

Calls

4 calls:

12.0ms	(+ (* c c) (* d d))
15.0ms	(/ 1 (+ (* c c) (* d d)))
8.0ms	(+ (* a c) (* b d))
46.0ms	(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

series210.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* c c) (* d d))
52.0ms	(/ 1 (+ (* c c) (* d d)))
41.0ms	(+ (* a c) (* b d))
88.0ms	(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

simplify2.6s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	3576
1	431
0	141

prune472.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 24.8b

regimes484.0ms

Accuracy

0% (3.0b remaining)

Error of 26.3b against oracle of 23.3b and baseline of 26.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	15

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.3s

8425×

body

valid