Details

sample37.0ms

Algorithm

intervals

Results

19.0ms

266×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	15	15
done	15	15

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.8b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* a c) (* b d))
24.5b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

16.0ms	(+ (* a c) (* b d))
33.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series196.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ (* a c) (* b d))
135.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify2.1s

Counts

48 → 48

Iterations

Useful iterations: 3 (781.0ms)

Iter	Nodes	Cost
0	85	924
1	237	906
2	883	826
3	3898	820
done	5001	820

prune194.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 24.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (+ (* a c) (* d b)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
15.4b	(/ (+ (* a c) (* d b)) (sqrt (+ (* c c) (* d d))))
29.0b	(sqrt (+ (* c c) (* d d)))
29.0b	(sqrt (+ (* c c) (* d d)))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac`
164×	`add-sqr-sqrt`
162×	`add-cube-cbrt` `*-un-lft-identity`
156×	`sqrt-prod`
27×	`associate-/l*`
22×	`sqrt-div`
18×	`associate-/r/`
12×	`flip3-+` `associate-/r*` `flip-+`
11×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`associate-/l/`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`

Counts

4 → 264

Calls

4 calls:

83.0ms	(/ (/ (+ (* a c) (* d b)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
40.0ms	(/ (+ (* a c) (* d b)) (sqrt (+ (* c c) (* d d))))
13.0ms	(sqrt (+ (* c c) (* d d)))
9.0ms	(sqrt (+ (* c c) (* d d)))

series402.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(/ (/ (+ (* a c) (* d b)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
161.0ms	(/ (+ (* a c) (* d b)) (sqrt (+ (* c c) (* d d))))
56.0ms	(sqrt (+ (* c c) (* d d)))
54.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.8s

Counts

276 → 276

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	302	11076
1	755	9987
2	3785	9426
done	5000	9054

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 22.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* a c) (* d b))
0.8b	(/ 1 (+ (* c c) (* d d)))
24.2b	(* (+ (* a c) (* d b)) (/ 1 (+ (* c c) (* d d))))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `times-frac`
19×	`add-cube-cbrt`
16×	`add-exp-log`
15×	`associate-r`
10×	`add-cbrt-cube`
6×	`pow1`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`associate-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 86

Calls

3 calls:

10.0ms	(+ (* a c) (* d b))
14.0ms	(/ 1 (+ (* c c) (* d d)))
78.0ms	(* (+ (* a c) (* d b)) (/ 1 (+ (* c c) (* d d))))

series204.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (* a c) (* d b))
47.0ms	(/ 1 (+ (* c c) (* d d)))
117.0ms	(* (+ (* a c) (* d b)) (/ 1 (+ (* c c) (* d d))))

simplify4.1s

Counts

95 → 95

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	124	1623
1	371	1513
2	2861	1300
done	5000	1294

prune300.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 22.1b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* a c) (* d b))
0.5b	(/ (/ 1 1) (/ (+ (* d d) (* c c)) (+ (* a c) (* d b))))
24.3b	(/ (+ (* d d) (* c c)) (+ (* a c) (* d b)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

474×	`times-frac`
221×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
38×	`add-exp-log`
32×	`div-inv`
31×	`associate-/r/`
30×	`div-exp`
18×	`associate-/r*`
17×	`flip3-+` `add-cbrt-cube` `flip-+`
16×	`associate-/l*`
10×	`1-exp`
9×	`cbrt-undiv`
5×	`add-log-exp`
4×	`rec-exp`
3×	`pow1` `associate-/l/`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `sum-log`

Counts

3 → 295

Calls

3 calls:

8.0ms	(+ (* a c) (* d b))
49.0ms	(/ (/ 1 1) (/ (+ (* d d) (* c c)) (+ (* a c) (* d b))))
65.0ms	(/ (+ (* d d) (* c c)) (+ (* a c) (* d b)))

series307.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (* a c) (* d b))
162.0ms	(/ (/ 1 1) (/ (+ (* d d) (* c c)) (+ (* a c) (* d b))))
97.0ms	(/ (+ (* d d) (* c c)) (+ (* a c) (* d b)))

simplify1.3s

Counts

304 → 304

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	478	11053
1	1828	9038
done	5000	8739

prune416.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 22.1b

regimes157.0ms

Accuracy

0% (2.9b remaining)

Error of 25.9b against oracle of 23.0b and baseline of 25.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	17	25
done	17	25

end0.0ms

sample1.2s

Algorithm

intervals

Results

796.0ms

8411×

body

valid