Details

sample139.0ms

Algorithm

intervals

Results

47.0ms	127×	body	160	valid
41.0ms	126×	body	320	valid
26.0ms	251×	body	80	nan
0.0ms	3×	body	80	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3432
4	1243
3	370
2	119
1	47
0	19

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 32.8b

localize43.0ms

Local error

Found 4 expressions with local error:

8.0b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
8.5b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
26.5b	(sqrt (- (* g g) (* h h)))
26.5b	(sqrt (- (* g g) (* h h)))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-div`
8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `frac-times` `flip3--` `add-cbrt-cube` `sqrt-div` `associate-*r/` `add-exp-log` `insert-posit16` `log1p-expm1-u` `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 → 72

Calls

4 calls:

47.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
73.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
12.0ms	(sqrt (- (* g g) (* h h)))
18.0ms	(sqrt (- (* g g) (* h h)))

series1.0s

Counts

4 → 12

Calls

4 calls:

459.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
439.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
49.0ms	(sqrt (- (* g g) (* h h)))
56.0ms	(sqrt (- (* g g) (* h h)))

simplify3.3s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	4951
2	1286
1	408
0	171

prune828.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 26.8b

localize48.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (* g g) (* h h))
8.5b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
26.5b	(sqrt (- (* g g) (* h h)))
26.5b	(sqrt (- (* g g) (* h h)))

rewrite108.0ms

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`
4×	`expm1-log1p-u` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u`
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` `fma-neg` `pow1/3` `diff-log` `prod-diff` `associate-*l/`

Counts

4 → 73

Calls

4 calls:

18.0ms	(- (* g g) (* h h))
61.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
14.0ms	(sqrt (- (* g g) (* h h)))
12.0ms	(sqrt (- (* g g) (* h h)))

series614.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* g g) (* h h))
439.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
63.0ms	(sqrt (- (* g g) (* h h)))
61.0ms	(sqrt (- (* g g) (* h h)))

simplify1.6s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	1111
1	342
0	146

prune866.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 26.4b

localize54.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (* g g) (* h h))
2.6b	(- (* g g) (* h h))
26.5b	(sqrt (- (* g g) (* h h)))
26.5b	(sqrt (- (* g g) (* h h)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `prod-diff`

Counts

4 → 74

Calls

4 calls:

18.0ms	(- (* g g) (* h h))
18.0ms	(- (* g g) (* h h))
31.0ms	(sqrt (- (* g g) (* h h)))
18.0ms	(sqrt (- (* g g) (* h h)))

series217.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* g g) (* h h))
35.0ms	(- (* g g) (* h h))
69.0ms	(sqrt (- (* g g) (* h h)))
69.0ms	(sqrt (- (* g g) (* h h)))

simplify1.7s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
3	1666
2	377
1	138
0	64

prune909.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 26.4b

localize59.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (* g g) (* h h))
2.6b	(- (* g g) (* h h))
26.5b	(sqrt (- (* g g) (* h h)))
26.5b	(sqrt (- (* g g) (* h h)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `prod-diff`

Counts

4 → 74

Calls

4 calls:

9.0ms	(- (* g g) (* h h))
9.0ms	(- (* g g) (* h h))
12.0ms	(sqrt (- (* g g) (* h h)))
19.0ms	(sqrt (- (* g g) (* h h)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* g g) (* h h))
51.0ms	(- (* g g) (* h h))
51.0ms	(sqrt (- (* g g) (* h h)))
71.0ms	(sqrt (- (* g g) (* h h)))

simplify1.5s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
3	1666
2	377
1	138
0	64

prune587.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 26.4b

regimes1.4s

Accuracy

0% (2.0b remaining)

Error of 32.1b against oracle of 30.0b and baseline of 32.1b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	25
1	25
0	20

end0.0ms

sample5.3s

Algorithm

intervals

Results

1.9s	3724×	body	320	valid
1.8s	8035×	body	80	nan
1.3s	4130×	body	160	valid
17.0ms	146×	body	80	valid