Details

sample136.0ms

Algorithm

intervals

Results

40.0ms	119×	body	320	valid
30.0ms	134×	body	160	valid
27.0ms	257×	body	80	nan
0.0ms	3×	body	80	valid

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
8	2064
7	1304
6	1067
5	847
4	542
3	270
2	121
1	43
0	19

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.4b

localize56.0ms

Local error

Found 4 expressions with local error:

9.1b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
10.9b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
32.4b	(sqrt (- (* g g) (* h h)))
32.4b	(sqrt (- (* g g) (* h h)))

rewrite128.0ms

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:

35.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
59.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
17.0ms	(sqrt (- (* g g) (* h h)))
15.0ms	(sqrt (- (* g g) (* h h)))

series1.1s

Counts

4 → 12

Calls

4 calls:

457.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
484.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
57.0ms	(sqrt (- (* g g) (* h h)))
73.0ms	(sqrt (- (* g g) (* h h)))

simplify2.9s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	4575
2	1256
1	386
0	166

prune884.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 34.8b

localize75.0ms

Local error

Found 4 expressions with local error:

5.4b	(- (* g g) (* h h))
9.1b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
32.4b	(sqrt (- (* g g) (* h h)))
32.4b	(sqrt (- (* g g) (* h h)))

rewrite66.0ms

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:

7.0ms	(- (* g g) (* h h))
28.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
9.0ms	(sqrt (- (* g g) (* h h)))
21.0ms	(sqrt (- (* g g) (* h h)))

series966.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* g g) (* h h))
390.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
58.0ms	(sqrt (- (* g g) (* h h)))
478.0ms	(sqrt (- (* g g) (* h h)))

simplify2.6s

Counts

71 → 71

Iterations

Iter	Nodes
done	5002
3	3964
2	991
1	304
0	135

prune914.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 34.4b

localize79.0ms

Local error

Found 4 expressions with local error:

5.4b	(- (* g g) (* h h))
5.4b	(- (* g g) (* h h))
32.4b	(sqrt (- (* g g) (* h h)))
32.4b	(sqrt (- (* g g) (* h h)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

13.0ms	(- (* g g) (* h h))
13.0ms	(- (* g g) (* h h))
14.0ms	(sqrt (- (* g g) (* h h)))
16.0ms	(sqrt (- (* g g) (* h h)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (* g g) (* h h))
45.0ms	(- (* g g) (* h h))
64.0ms	(sqrt (- (* g g) (* h h)))
67.0ms	(sqrt (- (* g g) (* h h)))

simplify1.5s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
3	1431
2	331
1	126
0	55

prune805.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 34.4b

localize72.0ms

Local error

Found 4 expressions with local error:

5.4b	(- (* g g) (* h h))
5.4b	(- (* g g) (* h h))
32.4b	(sqrt (- (* g g) (* h h)))
32.4b	(sqrt (- (* g g) (* h h)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

7.0ms	(- (* g g) (* h h))
19.0ms	(- (* g g) (* h h))
14.0ms	(sqrt (- (* g g) (* h h)))
15.0ms	(sqrt (- (* g g) (* h h)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* g g) (* h h))
59.0ms	(- (* g g) (* h h))
82.0ms	(sqrt (- (* g g) (* h h)))
58.0ms	(sqrt (- (* g g) (* h h)))

simplify1.4s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
3	1431
2	331
1	126
0	55

prune726.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 34.4b

regimes1.5s

Accuracy

0% (1.4b remaining)

Error of 32.2b against oracle of 30.8b and baseline of 32.2b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	26
1	26
0	21

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.0s	3738×	body	320	valid
1.6s	4118×	body	160	valid
1.1s	7974×	body	80	nan
69.0ms	144×	body	80	valid