Details

sample213.0ms

Algorithm

intervals

Results

75.0ms	134×	body	320	valid
67.0ms	114×	body	160	valid
42.0ms	249×	body	80	nan
1.0ms	8×	body	80	valid

simplify1.7s

Counts: 1 → 1

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 31.8b

localize41.0ms

Local error

Found 4 expressions with local error:

27.6b	(sqrt (- (* g g) (* h h)))
27.6b	(sqrt (- (* g g) (* h h)))
7.6b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
5.8b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))

rewrite90.0ms

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

42.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
31.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
9.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series957.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

432.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
401.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
66.0ms	(sqrt (- (* g g) (* h h)))
57.0ms	(sqrt (- (* g g) (* h h)))

simplify1.7s

Counts: 76 → 76

prune1.4s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 27.3b

localize41.0ms

Local error

Found 4 expressions with local error:

27.6b	(sqrt (- (* g g) (* h h)))
27.6b	(sqrt (- (* g g) (* h h)))
5.8b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
3.2b	(- (* g g) (* h h))

rewrite55.0ms

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

32.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
8.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(- (* g g) (* h h))

series520.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

369.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
57.0ms	(sqrt (- (* g g) (* h h)))
54.0ms	(sqrt (- (* g g) (* h h)))
41.0ms	(- (* g g) (* h h))

simplify1.5s

Counts: 75 → 75

prune1.4s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 26.9b

localize75.0ms

Local error

Found 4 expressions with local error:

27.6b	(sqrt (- (* g g) (* h h)))
27.6b	(sqrt (- (* g g) (* h h)))
5.8b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
3.2b	(- (* 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` `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

51.0ms	(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)))

series624.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

445.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
65.0ms	(sqrt (- (* g g) (* h h)))
64.0ms	(- (* g g) (* h h))
50.0ms	(sqrt (- (* g g) (* h h)))

simplify1.8s

Counts: 75 → 75

prune1.4s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 26.9b

localize56.0ms

Local error

Found 4 expressions with local error:

27.6b	(sqrt (- (* g g) (* h h)))
27.6b	(sqrt (- (* g g) (* h h)))
7.6b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
3.2b	(- (* g g) (* h h))

rewrite61.0ms

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

25.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
14.0ms	(sqrt (- (* g g) (* h h)))
13.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(- (* g g) (* h h))

series599.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

439.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
59.0ms	(sqrt (- (* g g) (* h h)))
55.0ms	(sqrt (- (* g g) (* h h)))
46.0ms	(- (* g g) (* h h))

simplify1.4s

Counts: 75 → 75

prune1.2s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 26.9b

regimes1.1s

Accuracy

53.7% (1.7b remaining)

Error of 31.2b against oracle of 29.5b and baseline of 33.2b

bsearch433.0ms

end0.0ms

sample7.2s

Algorithm

intervals

Results

2.9s	3761×	body	320	valid
2.2s	4083×	body	160	valid
1.6s	7741×	body	80	nan
58.0ms	156×	body	80	valid