Details

sample68.0ms

Algorithm

intervals

Results

41.0ms

272×

body

valid

simplify51.0ms

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.6b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.2b	(- (* b c) (* a d))
22.6b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite51.0ms

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:

7.0ms	(+ (* c c) (* d d))
7.0ms	(- (* b c) (* a d))
37.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series206.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* c c) (* d d))
53.0ms	(- (* b c) (* a d))
119.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify2.1s

Counts

67 → 67

Iterations

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

prune320.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 22.3b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b c) (* a d))
11.8b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
28.6b	(sqrt (+ (* c c) (* d d)))
28.6b	(sqrt (+ (* c c) (* d d)))

rewrite56.0ms

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:

13.0ms	(- (* b c) (* a d))
24.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
6.0ms	(sqrt (+ (* c c) (* d d)))
12.0ms	(sqrt (+ (* c c) (* d d)))

series312.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (* b c) (* a d))
155.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
55.0ms	(sqrt (+ (* c c) (* d d)))
51.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.6s

Counts

102 → 102

Iterations

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

prune574.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 20.8b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b c) (* a d))
12.0b	(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
28.6b	(sqrt (+ (* c c) (* d d)))
28.6b	(sqrt (+ (* c c) (* d d)))

rewrite72.0ms

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×	`sqrt-div` `add-log-exp`
5×	`unswap-sqr`
4×	`prod-exp` `insert-posit16`
3×	`flip3-+` `flip3--` `associate-l` `flip-+` `flip--`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `associate-/r/` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `sub-neg` `diff-log` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 99

Calls

4 calls:

7.0ms	(- (* b c) (* a d))
47.0ms	(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
6.0ms	(sqrt (+ (* c c) (* d d)))
10.0ms	(sqrt (+ (* c c) (* d d)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* b c) (* a d))
141.0ms	(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
40.0ms	(sqrt (+ (* c c) (* d d)))
45.0ms	(sqrt (+ (* c c) (* d d)))

simplify2.6s

Counts

111 → 111

Iterations

Iter	Nodes
done	5002
3	3229
2	1095
1	395
0	148

prune567.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 20.8b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c b) (* a d))
11.8b	(/ (- (* c b) (* a d)) (sqrt (+ (* c c) (* d d))))
28.6b	(sqrt (+ (* c c) (* d d)))
28.6b	(sqrt (+ (* c c) (* d d)))

rewrite45.0ms

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	(- (* c b) (* a d))
20.0ms	(/ (- (* c b) (* a d)) (sqrt (+ (* c c) (* d d))))
11.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* c b) (* a d))
94.0ms	(/ (- (* c b) (* a d)) (sqrt (+ (* c c) (* d d))))
41.0ms	(sqrt (+ (* c c) (* d d)))
39.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.4s

Counts

102 → 102

Iterations

Iter	Nodes
done	5001
3	2665
2	935
1	314
0	123

prune377.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 20.8b

regimes315.0ms

Accuracy

0% (2.4b remaining)

Error of 25.0b against oracle of 22.6b and baseline of 25.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample1.1s

Algorithm

intervals

Results

842.0ms

8445×

body

valid