Details

sample165.0ms

Algorithm

intervals

Results

50.0ms	119×	body	320	valid
37.0ms	125×	body	160	valid
35.0ms	277×	body	80	nan
2.0ms	12×	body	80	valid

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	4583
7	1834
6	1286
5	947
4	584
3	298
2	122
1	43
0	19

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.6b

localize85.0ms

Local error

Found 4 expressions with local error:

9.6b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
10.1b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
32.5b	(sqrt (- (* g g) (* h h)))
32.5b	(sqrt (- (* g g) (* h h)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-div`
8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`frac-times` `flip3--` `add-cbrt-cube` `sqrt-div` `associate-*r/` `add-exp-log` `flip--` `add-log-exp`
2×	`cbrt-prod` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `pow1/3` `associate-*l/` `flip-+` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

41.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
34.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
14.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series1.0s

Counts

4 → 12

Calls

4 calls:

461.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
458.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
62.0ms	(sqrt (- (* g g) (* h h)))
68.0ms	(sqrt (- (* g g) (* h h)))

simplify1.3s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	1400
1	395
0	166

prune816.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 34.3b

localize58.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (* g g) (* h h))
10.1b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
32.5b	(sqrt (- (* g g) (* h h)))
32.5b	(sqrt (- (* g g) (* h h)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
5×	`cbrt-div` `flip3--` `flip--`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log`
3×	`difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/`
1×	`cbrt-prod` `sub-neg` `pow1/3` `diff-log` `associate-*l/`

Counts

4 → 59

Calls

4 calls:

8.0ms	(- (* g g) (* h h))
28.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
7.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series598.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* g g) (* h h))
405.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
88.0ms	(sqrt (- (* g g) (* h h)))
56.0ms	(sqrt (- (* g g) (* h h)))

simplify1.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1538
1	321
0	135

prune1.2s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 34.1b

localize73.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (* g g) (* h h))
10.1b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
32.5b	(sqrt (- (* g g) (* h h)))
32.5b	(sqrt (- (* g g) (* h h)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
5×	`cbrt-div` `flip3--` `flip--`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log`
3×	`difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/`
1×	`cbrt-prod` `sub-neg` `pow1/3` `diff-log` `associate-*l/`

Counts

4 → 59

Calls

4 calls:

12.0ms	(- (* g g) (* h h))
51.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
13.0ms	(sqrt (- (* g g) (* h h)))
13.0ms	(sqrt (- (* g g) (* h h)))

series617.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* g g) (* h h))
427.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
66.0ms	(sqrt (- (* g g) (* h h)))
85.0ms	(sqrt (- (* g g) (* h h)))

simplify1.3s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1538
1	321
0	135

prune949.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 34.1b

localize221.0ms

Local error

Found 4 expressions with local error:

32.5b	(sqrt (- (* g g) (* h h)))
32.5b	(sqrt (- (* g g) (* h h)))
32.5b	(sqrt (- (* g g) (* h h)))
32.5b	(sqrt (- (* g g) (* h h)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-prod`
12×	`add-sqr-sqrt`
8×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
4×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `add-cbrt-cube` `pow1/2` `add-exp-log` `flip--` `add-log-exp` `difference-of-squares`

Counts

4 → 64

Calls

4 calls:

13.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(sqrt (- (* g g) (* h h)))
52.0ms	(sqrt (- (* g g) (* h h)))
87.0ms	(sqrt (- (* g g) (* h h)))
60.0ms	(sqrt (- (* g g) (* h h)))

simplify1.5s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
4	1718
3	582
2	238
1	98
0	44

prune920.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 34.1b

regimes1.7s

Accuracy

49.4% (1.7b remaining)

Error of 32.6b against oracle of 30.9b and baseline of 34.2b

bsearch318.0ms

Steps

Iters	Range		Point
11	4.0786015123651703e-175	1.9402420999172678e-152	1.5784372908607257e-162

simplify14.0ms

Iterations

Iter	Nodes
done	45
1	45
0	36

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.6s	3746×	body	320	valid
1.2s	4096×	body	160	valid
994.0ms	7955×	body	80	nan
18.0ms	158×	body	80	valid