Details

sample238.0ms

Algorithm

intervals

Results

88.0ms	133×	body	320	valid
66.0ms	216×	body	80	nan
53.0ms	119×	body	160	valid
1.0ms	4×	body	80	valid

simplify597.0ms

Counts: 1 → 1

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 34.0b

localize67.0ms

Local error

Found 4 expressions with local error:

27.9b	(sqrt (- (* g g) (* h h)))
27.9b	(sqrt (- (* g g) (* h h)))
8.3b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
7.6b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))

rewrite84.0ms

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

29.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
26.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
15.0ms	(sqrt (- (* g g) (* h h)))
14.0ms	(sqrt (- (* g g) (* h h)))

series913.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

454.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
344.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
63.0ms	(sqrt (- (* g g) (* h h)))
51.0ms	(sqrt (- (* g g) (* h h)))

simplify557.0ms

Counts: 94 → 76

prune1.3s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 28.3b

localize55.0ms

Local error

Found 4 expressions with local error:

27.9b	(sqrt (- (* g g) (* h h)))
27.9b	(sqrt (- (* g g) (* h h)))
7.6b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
5.0b	(- (* 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

29.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
12.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(- (* g g) (* h h))
7.0ms	(sqrt (- (* g g) (* h h)))

series625.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

434.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
73.0ms	(sqrt (- (* g g) (* h h)))
64.0ms	(sqrt (- (* g g) (* h h)))
54.0ms	(- (* g g) (* h h))

simplify478.0ms

Counts: 91 → 75

prune1.5s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 28.2b

localize71.0ms

Local error

Found 4 expressions with local error:

27.9b	(sqrt (- (* g g) (* h h)))
27.9b	(sqrt (- (* g g) (* h h)))
5.0b	(- (* g g) (* h h))
5.0b	(- (* g g) (* h h))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 62

Calls

4 calls:

Slowest

24.0ms	(- (* g g) (* h h))
16.0ms	(- (* g g) (* h h))
14.0ms	(sqrt (- (* g g) (* h h)))
13.0ms	(sqrt (- (* g g) (* h h)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

83.0ms	(sqrt (- (* g g) (* h h)))
83.0ms	(sqrt (- (* g g) (* h h)))
40.0ms	(- (* g g) (* h h))
35.0ms	(- (* g g) (* h h))

simplify463.0ms

Counts: 88 → 74

prune1.4s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 28.2b

localize77.0ms

Local error

Found 4 expressions with local error:

27.9b	(sqrt (- (* g g) (* h h)))
27.9b	(sqrt (- (* g g) (* h h)))
5.0b	(- (* g g) (* h h))
5.0b	(- (* g g) (* h h))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 62

Calls

4 calls:

Slowest

14.0ms	(sqrt (- (* g g) (* h h)))
12.0ms	(- (* g g) (* h h))
12.0ms	(sqrt (- (* g g) (* h h)))
10.0ms	(- (* g g) (* h h))

series208.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

56.0ms	(sqrt (- (* g g) (* h h)))
54.0ms	(- (* g g) (* h h))
53.0ms	(sqrt (- (* g g) (* h h)))
45.0ms	(- (* g g) (* h h))

simplify360.0ms

Counts: 88 → 74

prune1.4s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 28.2b

regimes1.1s

Accuracy

0% (1.7b remaining)

Error of 31.6b against oracle of 30.0b and baseline of 31.6b

bsearch4.0ms

end0.0ms

sample8.0s

Algorithm

intervals

Results

3.1s	3744×	body	320	valid
2.7s	4100×	body	160	valid
1.7s	8052×	body	80	nan
31.0ms	156×	body	80	valid