Details

sample191.0ms

Algorithm

intervals

Results

66.0ms	279×	body	80	nan
55.0ms	117×	body	320	valid
45.0ms	137×	body	160	valid
0.0ms	2×	body	80	valid

simplify2.7s

Counts: 1 → 1

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 35.2b

localize63.0ms

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))))))

rewrite111.0ms

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))))))
30.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
20.0ms	(sqrt (- (* g g) (* h h)))
11.0ms	(sqrt (- (* g g) (* h h)))

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

464.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
447.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
78.0ms	(sqrt (- (* g g) (* h h)))
60.0ms	(sqrt (- (* g g) (* h h)))

simplify2.5s

Counts: 84 → 84

prune1.5s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 29.6b

localize60.0ms

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))

rewrite69.0ms

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

39.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
10.0ms	(sqrt (- (* g g) (* h h)))
10.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(- (* g g) (* h h))

series1.0s

Counts

4 → 12

Calls

4 calls:

Slowest

461.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
444.0ms	(- (* g g) (* h h))
72.0ms	(sqrt (- (* g g) (* h h)))
70.0ms	(sqrt (- (* g g) (* h h)))

simplify1.9s

Counts: 85 → 85

prune1.7s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 29.1b

localize52.0ms

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))

rewrite70.0ms

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

33.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
18.0ms	(sqrt (- (* g g) (* h h)))
11.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(- (* g g) (* h h))

series547.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

393.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
56.0ms	(sqrt (- (* g g) (* h h)))
55.0ms	(sqrt (- (* g g) (* h h)))
42.0ms	(- (* g g) (* h h))

simplify1.6s

Counts: 85 → 85

prune1.7s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 29.1b

localize67.0ms

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))

rewrite95.0ms

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

55.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
20.0ms	(sqrt (- (* g g) (* h h)))
11.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(- (* g g) (* h h))

series574.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

402.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
69.0ms	(sqrt (- (* g g) (* h h)))
69.0ms	(sqrt (- (* g g) (* h h)))
34.0ms	(- (* g g) (* h h))

simplify1.8s

Counts: 85 → 85

prune1.4s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 29.1b

regimes1.3s

Accuracy

59.9% (1.5b remaining)

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

bsearch580.0ms

end0.0ms

sample6.9s

Algorithm

intervals

Results

2.9s	3675×	body	320	valid
2.1s	4174×	body	160	valid
1.5s	7777×	body	80	nan
25.0ms	151×	body	80	valid