Details

sample165.0ms

Algorithm

intervals

Results

69.0ms	119×	body	320	valid
29.0ms	133×	body	160	valid
27.0ms	276×	body	80	nan
0.0ms	4×	body	80	valid

simplify5.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	19	37
1	43	37
2	122	36
3	298	36
4	590	36
5	959	36
6	1294	36
7	1789	36
8	4192	36
done	5001	36

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.2b

localize34.0ms

Local error

Found 4 expressions with local error:

7.9b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
8.9b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
26.8b	(sqrt (- (* g g) (* h h)))
26.8b	(sqrt (- (* g g) (* h h)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-div`
8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `frac-times` `flip3--` `sqrt-div` `associate-*r/` `add-cbrt-cube` `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:

64.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
52.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
13.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(sqrt (- (* g g) (* h h)))

series1.0s

Counts

4 → 12

Calls

4 calls:

409.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
479.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
80.0ms	(sqrt (- (* g g) (* h h)))
73.0ms	(sqrt (- (* g g) (* h h)))

simplify877.0ms

Counts

72 → 72

Iterations

Useful iterations: done (873.0ms)

Iter	Nodes	Cost
0	166	1416
1	395	1249
2	1398	1135
done	5001	1090

prune776.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 28.2b

localize24.0ms

Local error

Found 4 expressions with local error:

3.4b	(- (* g g) (* h h))
8.9b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
26.8b	(sqrt (- (* g g) (* h h)))
26.8b	(sqrt (- (* g g) (* h h)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`cbrt-div` `flip3--` `flip--`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
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:

15.0ms	(- (* g g) (* h h))
75.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
13.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(sqrt (- (* g g) (* h h)))

series745.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* g g) (* h h))
529.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
84.0ms	(sqrt (- (* g g) (* h h)))
90.0ms	(sqrt (- (* g g) (* h h)))

simplify1.0s

Counts

71 → 71

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	135	1112
1	321	991
2	1515	887
done	5000	869

prune660.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 26.8b

localize25.0ms

Local error

Found 4 expressions with local error:

3.4b	(- (* g g) (* h h))
8.9b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
26.8b	(sqrt (- (* g g) (* h h)))
26.8b	(sqrt (- (* g g) (* h h)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`cbrt-div` `flip3--` `flip--`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
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:

13.0ms	(- (* g g) (* h h))
56.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
15.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(sqrt (- (* g g) (* h h)))

series662.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (* g g) (* h h))
438.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
79.0ms	(sqrt (- (* g g) (* h h)))
89.0ms	(sqrt (- (* g g) (* h h)))

simplify1.1s

Counts

71 → 71

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	135	1112
1	321	991
2	1515	887
done	5000	869

prune696.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 26.8b

localize57.0ms

Local error

Found 4 expressions with local error:

3.4b	(- (* g g) (* h h))
7.9b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
26.8b	(sqrt (- (* g g) (* h h)))
26.8b	(sqrt (- (* g g) (* h h)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

12.0ms	(- (* g g) (* h h))
63.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
19.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(sqrt (- (* g g) (* h h)))

series692.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* g g) (* h h))
512.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
62.0ms	(sqrt (- (* g g) (* h h)))
73.0ms	(sqrt (- (* g g) (* h h)))

simplify1.4s

Counts

71 → 71

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	137	1112
1	343	990
2	1591	876
done	5000	857

prune586.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 26.8b

regimes1.0s

Accuracy

70.8% (1.1b remaining)

Error of 30.9b against oracle of 29.8b and baseline of 33.6b

bsearch336.0ms

Steps

Iters	Range		Point
11	-4.1358965839418397e-138	-7.460458216569464e-159	-8.762222041795177e-159

simplify9.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	35	113
1	44	113
done	44	113

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.2s	3795×	body	320	valid
1.6s	4054×	body	160	valid
1.1s	8155×	body	80	nan
60.0ms	151×	body	80	valid