Details

sample229.0ms

Algorithm

intervals

Results

78.0ms	122×	body	320	valid
65.0ms	244×	body	80	nan
55.0ms	128×	body	160	valid
1.0ms	6×	body	80	valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	3455
4	1170
3	353
2	116
1	46
0	19

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.7b

localize68.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

41.0ms	(cbrt (* (/ 1/2 a) (- (sqrt (* (- g h) (+ g h))) g)))
6.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ g h))))))
12.0ms	(sqrt (* (- g h) (+ g h)))
25.0ms	(sqrt (* (- g h) (+ g h)))

series1.1s

Counts

4 → 12

Calls

4 calls:

484.0ms	(cbrt (* (/ 1/2 a) (- (sqrt (* (- g h) (+ g h))) g)))
492.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ g h))))))
83.0ms	(sqrt (* (- g h) (+ g h)))
83.0ms	(sqrt (* (- g h) (+ g h)))

simplify1.8s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	1573
1	437
0	189

prune893.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 32.7b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

37.0ms	(- (sqrt (* (- g h) (+ g h))) g)
44.0ms	(cbrt (* (/ 1/2 a) (- (sqrt (* (- g h) (+ g h))) g)))
8.0ms	(sqrt (* (- g h) (+ g h)))
12.0ms	(sqrt (* (- g h) (+ g h)))

series780.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(- (sqrt (* (- g h) (+ g h))) g)
493.0ms	(cbrt (* (/ 1/2 a) (- (sqrt (* (- g h) (+ g h))) g)))
91.0ms	(sqrt (* (- g h) (+ g h)))
93.0ms	(sqrt (* (- g h) (+ g h)))

simplify1.8s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	1249
1	333
0	155

prune897.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 32.2b

localize55.0ms

Local error

Found 4 expressions with local error:

0.7b	(+ g (sqrt (* (- g h) (+ g h))))
1.1b	(- (sqrt (* (- g h) (+ g h))) g)
32.4b	(sqrt (* (- g h) (+ g h)))
32.4b	(sqrt (* (- g h) (+ g h)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

9.0ms	(+ g (sqrt (* (- g h) (+ g h))))
31.0ms	(- (sqrt (* (- g h) (+ g h))) g)
17.0ms	(sqrt (* (- g h) (+ g h)))
17.0ms	(sqrt (* (- g h) (+ g h)))

series372.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ g (sqrt (* (- g h) (+ g h))))
96.0ms	(- (sqrt (* (- g h) (+ g h))) g)
69.0ms	(sqrt (* (- g h) (+ g h)))
122.0ms	(sqrt (* (- g h) (+ g h)))

simplify1.6s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	1127
1	251
0	106

prune913.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 32.0b

localize93.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

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` `*-un-lft-identity` `add-cbrt-cube` `pow1/2` `pow-prod-down` `add-exp-log` `add-cube-cbrt` `sqrt-prod` `insert-posit16` `add-log-exp`

Counts

4 → 80

Calls

4 calls:

17.0ms	(sqrt (* (- g h) (+ g h)))
9.0ms	(sqrt (* (- g h) (+ g h)))
8.0ms	(sqrt (* (- g h) (+ g h)))
11.0ms	(sqrt (* (- g h) (+ g h)))

series380.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(sqrt (* (- g h) (+ g h)))
91.0ms	(sqrt (* (- g h) (+ g h)))
110.0ms	(sqrt (* (- g h) (+ g h)))
90.0ms	(sqrt (* (- g h) (+ g h)))

simplify2.3s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
3	3126
2	704
1	159
0	62

prune929.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 32.0b

regimes682.0ms

Accuracy

37.4% (1.8b remaining)

Error of 31.2b against oracle of 29.4b and baseline of 32.2b

bsearch158.0ms

Steps

Iters	Range		Point
6	-1.893145012823655e-157	-2.997343141526986e-158	-3.035091110489776e-158

simplify7.0ms

Iterations

Iter	Nodes
done	39
1	39
0	30

end0.0ms

sample7.9s

Algorithm

intervals

Results

3.2s	3745×	body	320	valid
2.3s	8042×	body	80	nan
1.9s	4109×	body	160	valid
28.0ms	146×	body	80	valid