Details

sample226.0ms

Algorithm

intervals

Results

94.0ms	117×	body	320	valid
52.0ms	137×	body	160	valid
50.0ms	279×	body	80	nan
0.0ms	2×	body	80	valid

simplify2.2s

Counts: 1 → 1

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 35.2b

localize41.0ms

Local error

Found 4 expressions with local error:

29.5b	(sqrt (- (* g g) (* h h)))
29.5b	(sqrt (- (* g g) (* h h)))
8.1b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
7.5b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))

rewrite89.0ms

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:

Slowest

38.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
35.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
8.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series936.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

411.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
392.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
72.0ms	(sqrt (- (* g g) (* h h)))
61.0ms	(sqrt (- (* g g) (* h h)))

simplify1.9s

Counts: 76 → 76

prune1.5s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 29.6b

localize73.0ms

Local error

Found 4 expressions with local error:

29.5b	(sqrt (- (* g g) (* h h)))
29.5b	(sqrt (- (* g g) (* h h)))
8.1b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
2.6b	(- (* g g) (* h h))

rewrite52.0ms

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:

Slowest

28.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
8.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(- (* g g) (* h h))
7.0ms	(sqrt (- (* g g) (* h h)))

series641.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

462.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
71.0ms	(sqrt (- (* g g) (* h h)))
59.0ms	(sqrt (- (* g g) (* h h)))
49.0ms	(- (* g g) (* h h))

simplify1.6s

Counts: 75 → 75

prune1.4s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 29.1b

localize86.0ms

Local error

Found 4 expressions with local error:

29.5b	(sqrt (- (* g g) (* h h)))
29.5b	(sqrt (- (* g g) (* h h)))
8.1b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
2.6b	(- (* g g) (* h h))

rewrite82.0ms

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:

Slowest

35.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
23.0ms	(sqrt (- (* g g) (* h h)))
15.0ms	(- (* g g) (* h h))
8.0ms	(sqrt (- (* g g) (* h h)))

series601.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

436.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
68.0ms	(sqrt (- (* g g) (* h h)))
61.0ms	(sqrt (- (* g g) (* h h)))
36.0ms	(- (* g g) (* h h))

simplify1.5s

Counts: 75 → 75

prune1.5s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 29.1b

localize92.0ms

Local error

Found 4 expressions with local error:

29.5b	(sqrt (- (* g g) (* h h)))
29.5b	(sqrt (- (* g g) (* h h)))
7.5b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
2.6b	(- (* g g) (* h h))

rewrite81.0ms

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:

Slowest

45.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
14.0ms	(sqrt (- (* g g) (* h h)))
14.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(- (* g g) (* h h))

series650.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

456.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
74.0ms	(sqrt (- (* g g) (* h h)))
67.0ms	(sqrt (- (* g g) (* h h)))
54.0ms	(- (* g g) (* h h))

simplify1.9s

Counts: 75 → 75

prune1.2s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 29.1b

regimes1.1s

Accuracy

59.7% (1.5b remaining)

Error of 30.9b against oracle of 29.5b and baseline of 33.1b

bsearch517.0ms

end0.0ms

sample7.1s

Algorithm

intervals

Results

2.3s	4174×	body	160	valid
2.3s	3675×	body	320	valid
2.0s	7777×	body	80	nan
25.0ms	151×	body	80	valid