Details

sample193.0ms

Algorithm

intervals

Results

75.0ms	114×	body	320	valid
48.0ms	140×	body	160	valid
42.0ms	251×	body	80	nan
0.0ms	2×	body	80	valid

simplify2.5s

Counts

1 → 1

Iterations

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

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 34.5b

localize41.0ms

Local error

Found 4 expressions with local error:

7.0b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
10.3b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
29.3b	(sqrt (- (* g g) (* h h)))
29.3b	(sqrt (- (* g g) (* h h)))

rewrite107.0ms

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:

53.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
39.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
7.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series964.0ms

Counts

4 → 12

Calls

4 calls:

425.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
401.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
78.0ms	(sqrt (- (* g g) (* h h)))
60.0ms	(sqrt (- (* g g) (* h h)))

simplify2.4s

Counts

76 → 76

Iterations

Iter	Nodes
3	4173
2	1159
1	390
0	165

prune1.4s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 29.6b

localize65.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (* g g) (* h h))
7.0b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
29.3b	(sqrt (- (* g g) (* h h)))
29.3b	(sqrt (- (* g g) (* h h)))

rewrite77.0ms

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:

14.0ms	(- (* g g) (* h h))
34.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
14.0ms	(sqrt (- (* g g) (* h h)))
14.0ms	(sqrt (- (* g g) (* h h)))

series544.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* g g) (* h h))
386.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
50.0ms	(sqrt (- (* g g) (* h h)))
49.0ms	(sqrt (- (* g g) (* h h)))

simplify2.1s

Counts

75 → 75

Iterations

Iter	Nodes
3	4033
2	1018
1	328
0	137

prune1.4s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 29.3b

localize67.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (* g g) (* h h))
7.0b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
29.3b	(sqrt (- (* g g) (* h h)))
29.3b	(sqrt (- (* g g) (* h h)))

rewrite73.0ms

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:

15.0ms	(- (* g g) (* h h))
35.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
7.0ms	(sqrt (- (* g g) (* h h)))
15.0ms	(sqrt (- (* g g) (* h h)))

series616.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* g g) (* h h))
424.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
65.0ms	(sqrt (- (* g g) (* h h)))
77.0ms	(sqrt (- (* g g) (* h h)))

simplify2.1s

Counts

75 → 75

Iterations

Iter	Nodes
3	4033
2	1018
1	328
0	137

prune1.5s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 29.3b

localize51.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (* g g) (* h h))
10.3b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
29.3b	(sqrt (- (* g g) (* h h)))
29.3b	(sqrt (- (* g g) (* h h)))

rewrite72.0ms

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` `flip3--` `flip--`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16`
3×	`difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/`
1×	`cbrt-prod` `sub-neg` `pow1/3` `diff-log` `associate-*l/`

Counts

4 → 63

Calls

4 calls:

8.0ms	(- (* g g) (* h h))
34.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
14.0ms	(sqrt (- (* g g) (* h h)))
16.0ms	(sqrt (- (* g g) (* h h)))

series620.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (* g g) (* h h))
417.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
72.0ms	(sqrt (- (* g g) (* h h)))
79.0ms	(sqrt (- (* g g) (* h h)))

simplify1.8s

Counts

75 → 75

Iterations

Iter	Nodes
3	3669
2	987
1	308
0	136

prune1.4s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 29.3b

regimes1.2s

Accuracy

56.4% (1.5b remaining)

Error of 30.9b against oracle of 29.4b and baseline of 32.9b

bsearch434.0ms

Steps

Iters	Range		Point
11	-1.5067183283530733e-196	-3.0192524031753305e-230	-1.477469400954285e-196

simplify14.0ms

Iterations

Iter	Nodes
2	39
1	39
0	29

end0.0ms

sample7.7s

Algorithm

intervals

Results

3.4s	3698×	body	320	valid
2.0s	7984×	body	80	nan
1.8s	4158×	body	160	valid
29.0ms	144×	body	80	valid