Details

sample40.0ms

Algorithm

intervals

Results

19.0ms

263×

body

valid

simplify20.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
1	15
0	11

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.8b

localize155.0ms

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)))

rewrite151.0ms

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:

29.0ms	(+ (* c c) (* d d))
28.0ms	(+ (* a c) (* b d))
90.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series335.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ (* c c) (* d d))
71.0ms	(+ (* a c) (* b d))
214.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify6.7s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
3	4584
2	1066
1	282
0	99

prune994.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 27.0b

localize155.0ms

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)))

rewrite206.0ms

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:

33.0ms	(+ (* a c) (* b d))
120.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
27.0ms	(sqrt (+ (* c c) (* d d)))
17.0ms	(sqrt (+ (* c c) (* d d)))

series455.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(+ (* a c) (* b d))
269.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
59.0ms	(sqrt (+ (* c c) (* d d)))
54.0ms	(sqrt (+ (* c c) (* d d)))

simplify4.2s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
3	2240
2	766
1	281
0	117

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 24.9b

localize115.0ms

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)))

rewrite127.0ms

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:

17.0ms	(+ (* a c) (* b d))
68.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
20.0ms	(sqrt (+ (* c c) (* d d)))
17.0ms	(sqrt (+ (* c c) (* d d)))

series352.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (* a c) (* b d))
200.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
50.0ms	(sqrt (+ (* c c) (* d d)))
49.0ms	(sqrt (+ (* c c) (* d d)))

simplify3.3s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
3	2240
2	766
1	281
0	117

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 24.9b

localize82.0ms

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))))

rewrite164.0ms

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:

17.0ms	(+ (* c c) (* d d))
27.0ms	(/ 1 (+ (* c c) (* d d)))
17.0ms	(+ (* a c) (* b d))
97.0ms	(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

series294.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* c c) (* d d))
53.0ms	(/ 1 (+ (* c c) (* d d)))
51.0ms	(+ (* a c) (* b d))
150.0ms	(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

simplify2.2s

Counts

113 → 113

Iterations

Iter	Nodes
done	5006
2	1459
1	413
0	141

prune945.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 24.9b

regimes781.0ms

Accuracy

0% (3.4b remaining)

Error of 26.8b against oracle of 23.4b and baseline of 26.8b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	22
1	22
0	15

end0.0ms

sample910.0ms

Algorithm

intervals

Results

522.0ms

8425×

body

valid