Details

sample243.0ms

Algorithm

intervals

Results

81.0ms	246×	body	80	nan
71.0ms	107×	body	320	valid
60.0ms	144×	body	160	valid
1.0ms	5×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
6	3167
5	1812
4	841
3	353
2	116
1	46
0	19

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 36.9b

localize55.0ms

Local error

Found 4 expressions with local error:

10.0b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
11.6b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
31.3b	(sqrt (- (* g g) (* h h)))
31.3b	(sqrt (- (* g g) (* h h)))

rewrite86.0ms

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` `insert-posit16` `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 → 64

Calls

4 calls:

39.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
26.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
13.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series929.0ms

Counts

4 → 12

Calls

4 calls:

385.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
410.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
62.0ms	(sqrt (- (* g g) (* h h)))
72.0ms	(sqrt (- (* g g) (* h h)))

simplify2.5s

Counts

76 → 76

Iterations

Iter	Nodes
3	4178
2	1159
1	390
0	165

prune1.4s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 31.9b

localize81.0ms

Local error

Found 4 expressions with local error:

4.6b	(- (* g g) (* h h))
11.6b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
31.3b	(sqrt (- (* g g) (* h h)))
31.3b	(sqrt (- (* g g) (* h h)))

rewrite92.0ms

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×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16`
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` `pow1/3` `diff-log` `associate-*l/`

Counts

4 → 63

Calls

4 calls:

8.0ms	(- (* g g) (* h h))
56.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
14.0ms	(sqrt (- (* g g) (* h h)))
13.0ms	(sqrt (- (* g g) (* h h)))

series620.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* g g) (* h h))
450.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
65.0ms	(sqrt (- (* g g) (* h h)))
57.0ms	(sqrt (- (* g g) (* h h)))

simplify2.0s

Counts

75 → 75

Iterations

Iter	Nodes
3	4033
2	1018
1	328
0	137

prune1.5s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 30.9b

localize93.0ms

Local error

Found 4 expressions with local error:

4.6b	(- (* g g) (* h h))
4.6b	(- (* g g) (* h h))
31.3b	(sqrt (- (* g g) (* h h)))
31.3b	(sqrt (- (* g g) (* h h)))

rewrite50.0ms

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` `insert-posit16` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 62

Calls

4 calls:

7.0ms	(- (* g g) (* h h))
7.0ms	(- (* g g) (* h h))
21.0ms	(sqrt (- (* g g) (* h h)))
15.0ms	(sqrt (- (* g g) (* h h)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* g g) (* h h))
47.0ms	(- (* g g) (* h h))
60.0ms	(sqrt (- (* g g) (* h h)))
57.0ms	(sqrt (- (* g g) (* h h)))

simplify3.8s

Counts

74 → 74

Iterations

Iter	Nodes
4	8611
3	1730
2	378
1	129
0	57

prune1.9s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 30.9b

localize74.0ms

Local error

Found 4 expressions with local error:

4.6b	(- (* g g) (* h h))
4.6b	(- (* g g) (* h h))
31.3b	(sqrt (- (* g g) (* h h)))
31.3b	(sqrt (- (* g g) (* h h)))

rewrite47.0ms

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` `insert-posit16` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 62

Calls

4 calls:

15.0ms	(- (* g g) (* h h))
17.0ms	(- (* g g) (* h h))
7.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* g g) (* h h))
35.0ms	(- (* g g) (* h h))
49.0ms	(sqrt (- (* g g) (* h h)))
72.0ms	(sqrt (- (* g g) (* h h)))

simplify3.7s

Counts

74 → 74

Iterations

Iter	Nodes
4	8611
3	1730
2	378
1	129
0	57

prune1.2s

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 30.9b

regimes1.2s

Accuracy

26.4% (1.6b remaining)

Error of 30.9b against oracle of 29.3b and baseline of 31.4b

bsearch558.0ms

Steps

Iters	Range		Point
7	2.289376578376978e-40	1.3632368677943003e-38	6.420654691865451e-40
8	-5.21537847731065e-199	-6.855465369280799e-203	-5.110014296461794e-199

simplify19.0ms

Iterations

Iter	Nodes
3	71
2	71
1	67
0	48

end0.0ms

sample7.4s

Algorithm

intervals

Results

3.0s	3687×	body	320	valid
2.3s	4171×	body	160	valid
1.6s	7844×	body	80	nan
49.0ms	142×	body	80	valid