Details

sample41.0ms

Algorithm

intervals

Results

28.0ms

269×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	15
1	15
0	11

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.1b

localize24.0ms

Local error

Found 2 expressions with local error:

1.2b	(+ (* a c) (* b d))
26.1b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

7.0ms	(+ (* a c) (* b d))
38.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series145.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ (* a c) (* b d))
91.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify783.0ms

Counts

50 → 50

Iterations

Iter	Nodes
3	2590
2	777
1	237
0	85

prune519.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 25.7b

localize35.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (* a c) (* b d))
15.9b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
26.3b	(sqrt (+ (* c c) (* d d)))
26.3b	(sqrt (+ (* c c) (* d d)))

rewrite55.0ms

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))
28.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
6.0ms	(sqrt (+ (* c c) (* d d)))
10.0ms	(sqrt (+ (* c c) (* d d)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (* a c) (* b d))
115.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
47.0ms	(sqrt (+ (* c c) (* d d)))
42.0ms	(sqrt (+ (* c c) (* d d)))

simplify863.0ms

Counts

100 → 100

Iterations

Iter	Nodes
3	2148
2	772
1	281
0	117

prune964.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 22.7b

localize30.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (* a c) (* b d))
16.0b	(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
26.3b	(sqrt (+ (* c c) (* d d)))
26.3b	(sqrt (+ (* c c) (* d d)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`associate-r`
22×	`*-un-lft-identity` `times-frac`
20×	`add-cube-cbrt`
17×	`sqrt-prod`
13×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`pow1`
6×	`flip3-+` `sqrt-div` `flip-+` `add-log-exp`
5×	`unswap-sqr`
4×	`prod-exp` `insert-posit16`
3×	`associate-l`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `associate-/r/` `cbrt-unprod`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `sum-log` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 98

Calls

4 calls:

7.0ms	(+ (* a c) (* b d))
43.0ms	(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (* a c) (* b d))
109.0ms	(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
38.0ms	(sqrt (+ (* c c) (* d d)))
41.0ms	(sqrt (+ (* c c) (* d d)))

simplify978.0ms

Counts

110 → 110

Iterations

Iter	Nodes
3	3657
2	1211
1	401
0	146

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 22.7b

localize30.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (* a c) (* b d))
15.9b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
26.3b	(sqrt (+ (* c c) (* d d)))
26.3b	(sqrt (+ (* c c) (* d d)))

rewrite53.0ms

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:

7.0ms	(+ (* a c) (* b d))
32.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* a c) (* b d))
110.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
43.0ms	(sqrt (+ (* c c) (* d d)))
38.0ms	(sqrt (+ (* c c) (* d d)))

simplify504.0ms

Counts

100 → 100

Iterations

Iter	Nodes
3	2148
2	772
1	281
0	117

prune978.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 22.7b

regimes383.0ms

Accuracy

0% (2.6b remaining)

Error of 25.8b against oracle of 23.2b and baseline of 25.8b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	22
1	22
0	15

end0.0ms

sample1.1s

Algorithm

intervals

Results

846.0ms

8511×

body

valid