Details

sample100.0ms

Algorithm

intervals

Results

33.0ms	244×	body	80	nan
28.0ms	122×	body	320	valid
21.0ms	128×	body	160	valid
0.0ms	6×	body	80	valid

simplify2.0s

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 37.7b

localize61.0ms

Local error

Found 4 expressions with local error:

7.9b	(cbrt (* (/ (- (sqrt (* (- g h) (+ h g))) g) a) 1/2))
9.3b	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ h g))))))
32.4b	(sqrt (* (- g h) (+ h g)))
32.4b	(sqrt (* (- g h) (+ h g)))

rewrite63.0ms

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 (* (/ (- (sqrt (* (- g h) (+ h g))) g) a) 1/2))
11.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ h g))))))
16.0ms	(sqrt (* (- g h) (+ h g)))
16.0ms	(sqrt (* (- g h) (+ h g)))

series881.0ms

Counts

4 → 12

Calls

4 calls:

328.0ms	(cbrt (* (/ (- (sqrt (* (- g h) (+ h g))) g) a) 1/2))
371.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ h g))))))
86.0ms	(sqrt (* (- g h) (+ h g)))
96.0ms	(sqrt (* (- g h) (+ h g)))

simplify1.5s

Counts

86 → 86

Iterations

Iter	Nodes
done	5002
2	1630
1	481
0	204

prune793.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 32.8b

localize41.0ms

Local error

Found 4 expressions with local error:

1.1b	(- (sqrt (* (- g h) (+ h g))) g)
7.9b	(cbrt (* (/ (- (sqrt (* (- g h) (+ h g))) g) a) 1/2))
32.4b	(sqrt (* (- g h) (+ h g)))
32.4b	(sqrt (* (- g h) (+ h g)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-div`
14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`prod-diff` `add-cube-cbrt`
10×	`pow1`
8×	`frac-times`
7×	`flip3--` `flip--`
6×	`flip3-+` `sqrt-prod` `flip-+` `add-log-exp`
5×	`associate-*l/`
4×	`expm1-log1p-u` `sqrt-pow1` `add-cbrt-cube` `fma-neg` `associate-*r/` `add-exp-log` `insert-posit16` `log1p-expm1-u`
2×	`pow1/2` `pow-prod-down`
1×	`cbrt-prod` `cbrt-div` `sub-neg` `pow1/3` `diff-log` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

21.0ms	(- (sqrt (* (- g h) (+ h g))) g)
23.0ms	(cbrt (* (/ (- (sqrt (* (- g h) (+ h g))) g) a) 1/2))
24.0ms	(sqrt (* (- g h) (+ h g)))
12.0ms	(sqrt (* (- g h) (+ h g)))

series629.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(- (sqrt (* (- g h) (+ h g))) g)
366.0ms	(cbrt (* (/ (- (sqrt (* (- g h) (+ h g))) g) a) 1/2))
78.0ms	(sqrt (* (- g h) (+ h g)))
69.0ms	(sqrt (* (- g h) (+ h g)))

simplify1.7s

Counts

102 → 102

Iterations

Iter	Nodes
done	5001
2	1333
1	470
0	202

prune1.1s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 32.2b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

19.0ms	(sqrt (* (- g h) (+ h g)))
26.0ms	(sqrt (* (- g h) (+ h g)))
20.0ms	(sqrt (* (- g h) (+ h g)))
20.0ms	(sqrt (* (- g h) (+ h g)))

series350.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(sqrt (* (- g h) (+ h g)))
84.0ms	(sqrt (* (- g h) (+ h g)))
92.0ms	(sqrt (* (- g h) (+ h g)))
66.0ms	(sqrt (* (- g h) (+ h g)))

simplify2.3s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
3	3513
2	787
1	175
0	70

prune1.2s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 32.2b

localize97.0ms

Local error

Found 4 expressions with local error:

1.1b	(- (sqrt (* (- g h) (+ h g))) g)
7.9b	(cbrt (/ (- (sqrt (* (- g h) (+ h g))) g) a))
32.4b	(sqrt (* (- g h) (+ h g)))
32.4b	(sqrt (* (- g h) (+ h g)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`add-cube-cbrt`
19×	`cbrt-prod`
16×	`sqrt-div`
15×	`times-frac`
12×	`prod-diff`
10×	`pow1`
8×	`frac-times`
7×	`flip3--` `flip--`
6×	`flip3-+` `sqrt-prod` `flip-+` `add-log-exp`
4×	`expm1-log1p-u` `sqrt-pow1` `add-cbrt-cube` `fma-neg` `associate-l/` `associate-r/` `add-exp-log` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/2` `pow-prod-down`
1×	`cbrt-div` `sub-neg` `pow1/3` `diff-log` `div-inv`

Counts

4 → 108

Calls

4 calls:

27.0ms	(- (sqrt (* (- g h) (+ h g))) g)
10.0ms	(cbrt (/ (- (sqrt (* (- g h) (+ h g))) g) a))
11.0ms	(sqrt (* (- g h) (+ h g)))
18.0ms	(sqrt (* (- g h) (+ h g)))

series663.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(- (sqrt (* (- g h) (+ h g))) g)
346.0ms	(cbrt (/ (- (sqrt (* (- g h) (+ h g))) g) a))
112.0ms	(sqrt (* (- g h) (+ h g)))
90.0ms	(sqrt (* (- g h) (+ h g)))

simplify1.9s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
2	1423
1	531
0	243

prune1.1s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 32.2b

regimes742.0ms

Accuracy

0% (1.8b remaining)

Error of 31.6b against oracle of 29.8b and baseline of 31.6b

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	34
1	34
0	25

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.1s	3745×	body	320	valid
1.5s	4109×	body	160	valid
1.3s	8042×	body	80	nan
17.0ms	146×	body	80	valid