Details

sample234.0ms

Algorithm

intervals

Results

82.0ms	127×	body	160	valid
76.0ms	122×	body	320	valid
48.0ms	251×	body	80	nan
1.0ms	7×	body	80	valid

simplify3.1s

Counts: 1 → 1

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 35.4b

localize36.0ms

Local error

Found 4 expressions with local error:

31.2b	(sqrt (- (* g g) (* h h)))
31.2b	(sqrt (- (* g g) (* h h)))
7.9b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
6.7b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-div`
8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `frac-times` `flip3--` `add-cbrt-cube` `sqrt-div` `associate-*r/` `add-exp-log` `insert-posit16` `log1p-expm1-u` `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 → 72

Calls

4 calls:

Slowest

50.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
27.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
26.0ms	(sqrt (- (* g g) (* h h)))
17.0ms	(sqrt (- (* g g) (* h h)))

series977.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

458.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
393.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
76.0ms	(sqrt (- (* g g) (* h h)))
50.0ms	(sqrt (- (* g g) (* h h)))

simplify2.4s

Counts: 84 → 84

prune1.6s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 30.7b

localize56.0ms

Local error

Found 4 expressions with local error:

31.2b	(sqrt (- (* g g) (* h h)))
31.2b	(sqrt (- (* g g) (* h h)))
6.7b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
2.8b	(- (* g g) (* h h))

rewrite75.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u`
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` `fma-neg` `pow1/3` `diff-log` `prod-diff` `associate-*l/`

Counts

4 → 73

Calls

4 calls:

Slowest

31.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
18.0ms	(sqrt (- (* g g) (* h h)))
13.0ms	(- (* g g) (* h h))
11.0ms	(sqrt (- (* g g) (* h h)))

series654.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

463.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
85.0ms	(sqrt (- (* g g) (* h h)))
59.0ms	(sqrt (- (* g g) (* h h)))
46.0ms	(- (* g g) (* h h))

simplify1.7s

Counts: 85 → 85

prune1.7s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 30.1b

localize73.0ms

Local error

Found 4 expressions with local error:

31.2b	(sqrt (- (* g g) (* h h)))
31.2b	(sqrt (- (* g g) (* h h)))
6.7b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
2.8b	(- (* g g) (* h h))

rewrite58.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u`
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` `fma-neg` `pow1/3` `diff-log` `prod-diff` `associate-*l/`

Counts

4 → 73

Calls

4 calls:

Slowest

31.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
10.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(- (* g g) (* h h))

series625.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

425.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
82.0ms	(sqrt (- (* g g) (* h h)))
67.0ms	(sqrt (- (* g g) (* h h)))
52.0ms	(- (* g g) (* h h))

simplify1.7s

Counts: 85 → 85

prune1.5s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 30.1b

localize61.0ms

Local error

Found 4 expressions with local error:

31.2b	(sqrt (- (* g g) (* h h)))
31.2b	(sqrt (- (* g g) (* h h)))
7.9b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
2.8b	(- (* 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` `flip3--` `flip--`
4×	`expm1-log1p-u` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/`
1×	`cbrt-prod` `sub-neg` `fma-neg` `pow1/3` `diff-log` `prod-diff` `associate-*l/`

Counts

4 → 73

Calls

4 calls:

Slowest

46.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
19.0ms	(sqrt (- (* g g) (* h h)))
18.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(- (* g g) (* h h))

series675.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

449.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
84.0ms	(sqrt (- (* g g) (* h h)))
79.0ms	(sqrt (- (* g g) (* h h)))
63.0ms	(- (* g g) (* h h))

simplify1.6s

Counts: 85 → 85

prune1.5s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 30.1b

regimes1.4s

Accuracy

55% (1.7b remaining)

Error of 31.3b against oracle of 29.5b and baseline of 33.3b

bsearch389.0ms

end0.0ms

sample7.4s

Algorithm

intervals

Results

2.9s	3834×	body	320	valid
2.2s	4009×	body	160	valid
1.8s	7976×	body	80	nan
28.0ms	157×	body	80	valid