Details

sample111.0ms

Algorithm

intervals

Results

36.0ms	132×	body	320	valid
29.0ms	272×	body	80	nan
22.0ms	117×	body	160	valid
1.0ms	7×	body	80	valid

simplify2.8s

Counts

1 → 1

Iterations

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 34.6b

localize44.0ms

Local error

Found 4 expressions with local error:

6.7b	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ h g))))))
8.6b	(cbrt (* (/ (- (sqrt (* (- g h) (+ h g))) g) a) 1/2))
30.0b	(sqrt (* (- g h) (+ h g)))
30.0b	(sqrt (* (- g h) (+ h g)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-div`
10×	`frac-times` `pow1`
8×	`flip3-+` `flip-+`
6×	`cbrt-div` `flip3--` `associate-l/` `associate-r/` `flip--`
4×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `sqrt-pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-prod` `pow1/2` `pow1/3` `pow-prod-down` `sqrt-prod`

Counts

4 → 74

Calls

4 calls:

19.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ h g))))))
33.0ms	(cbrt (* (/ (- (sqrt (* (- g h) (+ h g))) g) a) 1/2))
33.0ms	(sqrt (* (- g h) (+ h g)))
26.0ms	(sqrt (* (- g h) (+ h g)))

series957.0ms

Counts

4 → 12

Calls

4 calls:

425.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ h g))))))
353.0ms	(cbrt (* (/ (- (sqrt (* (- g h) (+ h g))) g) a) 1/2))
88.0ms	(sqrt (* (- g h) (+ h g)))
91.0ms	(sqrt (* (- g h) (+ h g)))

simplify1.8s

Counts

86 → 86

Iterations

Iter	Nodes
done	5010
2	1627
1	481
0	204

prune1.0s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 30.7b

localize38.0ms

Local error

Found 4 expressions with local error:

1.9b	(+ g (sqrt (* (- g h) (+ h g))))
6.7b	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ h g))))))
30.0b	(sqrt (* (- g h) (+ h g)))
30.0b	(sqrt (* (- g h) (+ h g)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-div`
10×	`frac-times` `pow1`
9×	`flip3-+` `flip-+`
7×	`*-un-lft-identity`
6×	`flip3--` `associate-*r/` `flip--` `add-log-exp`
5×	`add-sqr-sqrt` `cbrt-div` `associate-*l/` `add-cube-cbrt`
4×	`expm1-log1p-u` `sqrt-pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`fma-def`
2×	`pow1/2` `pow-prod-down` `sqrt-prod`
1×	`cbrt-prod` `+-commutative` `sum-log` `pow1/3` `distribute-lft-out`

Counts

4 → 79

Calls

4 calls:

6.0ms	(+ g (sqrt (* (- g h) (+ h g))))
10.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ h g))))))
19.0ms	(sqrt (* (- g h) (+ h g)))
27.0ms	(sqrt (* (- g h) (+ h g)))

series832.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(+ g (sqrt (* (- g h) (+ h g))))
515.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ h g))))))
82.0ms	(sqrt (* (- g h) (+ h g)))
106.0ms	(sqrt (* (- g h) (+ h g)))

simplify1.9s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1333
1	382
0	162

prune869.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 29.9b

localize58.0ms

Local error

Found 4 expressions with local error:

1.9b	(+ (sqrt (* (- g h) (+ h g))) g)
6.7b	(cbrt (/ (+ (sqrt (* (- g h) (+ h g))) g) (/ a -1/2)))
30.0b	(sqrt (* (- g h) (+ h g)))
30.0b	(sqrt (* (- g h) (+ h g)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

88×	`times-frac`
75×	`*-un-lft-identity`
57×	`cbrt-prod`
47×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`sqrt-div`
14×	`distribute-lft-out`
10×	`pow1`
8×	`frac-times`
7×	`flip3-+` `flip-+`
6×	`flip3--` `flip--` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `fma-def` `sqrt-pow1` `add-cbrt-cube` `associate-l/` `associate-r/` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`sqrt-prod`
2×	`pow1/2` `pow-prod-down`
1×	`+-commutative` `cbrt-div` `sum-log` `pow1/3` `associate-/r/`

Counts

4 → 132

Calls

4 calls:

23.0ms	(+ (sqrt (* (- g h) (+ h g))) g)
40.0ms	(cbrt (/ (+ (sqrt (* (- g h) (+ h g))) g) (/ a -1/2)))
28.0ms	(sqrt (* (- g h) (+ h g)))
27.0ms	(sqrt (* (- g h) (+ h g)))

series602.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(+ (sqrt (* (- g h) (+ h g))) g)
350.0ms	(cbrt (/ (+ (sqrt (* (- g h) (+ h g))) g) (/ a -1/2)))
69.0ms	(sqrt (* (- g h) (+ h g)))
83.0ms	(sqrt (* (- g h) (+ h g)))

simplify1.8s

Counts

144 → 144

Iterations

Iter	Nodes
done	5001
2	2041
1	708
0	343

prune1.3s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 29.8b

localize80.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (/ a -1/2))
1.9b	(+ (sqrt (* (- g h) (+ h g))) g)
30.0b	(sqrt (* (- g h) (+ h g)))
30.0b	(sqrt (* (- g h) (+ h g)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-div`
14×	`*-un-lft-identity`
13×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`pow1`
9×	`times-frac`
8×	`frac-times`
7×	`flip3-+` `flip-+`
6×	`flip3--` `flip--` `add-log-exp`
4×	`expm1-log1p-u` `fma-def` `sqrt-pow1` `add-cbrt-cube` `associate-l/` `associate-r/` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`sqrt-prod`
2×	`pow1/2` `pow-prod-down`
1×	`+-commutative` `cbrt-div` `sum-log` `pow1/3` `div-inv` `distribute-lft-out`

Counts

4 → 88

Calls

4 calls:

4.0ms	(cbrt (/ a -1/2))
31.0ms	(+ (sqrt (* (- g h) (+ h g))) g)
13.0ms	(sqrt (* (- g h) (+ h g)))
14.0ms	(sqrt (* (- g h) (+ h g)))

series557.0ms

Counts

4 → 12

Calls

4 calls:

311.0ms	(cbrt (/ a -1/2))
80.0ms	(+ (sqrt (* (- g h) (+ h g))) g)
91.0ms	(sqrt (* (- g h) (+ h g)))
74.0ms	(sqrt (* (- g h) (+ h g)))

simplify2.6s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
3	4320
2	1120
1	326
0	160

prune747.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 29.8b

regimes559.0ms

Accuracy

0% (2.1b remaining)

Error of 31.7b against oracle of 29.6b and baseline of 31.7b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	25
1	25
0	20

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.7s	3721×	body	320	valid
1.4s	7842×	body	80	nan
1.0s	4127×	body	160	valid
15.0ms	152×	body	80	valid