Details

sample104.0ms

Algorithm

intervals

Results

28.0ms	136×	body	160	valid
27.0ms	117×	body	320	valid
21.0ms	294×	body	80	nan
0.0ms	3×	body	80	valid

simplify96.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.4b

localize46.0ms

Local error

Found 4 expressions with local error:

5.5b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
5.8b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
31.0b	(sqrt (- (* g g) (* h h)))
31.0b	(sqrt (- (* g g) (* h h)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-div`
8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `frac-times` `flip3--` `sqrt-div` `associate-*r/` `add-cbrt-cube` `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 → 60

Calls

4 calls:

41.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
33.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
10.0ms	(sqrt (- (* g g) (* h h)))
12.0ms	(sqrt (- (* g g) (* h h)))

series865.0ms

Counts

4 → 12

Calls

4 calls:

397.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
354.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
51.0ms	(sqrt (- (* g g) (* h h)))
63.0ms	(sqrt (- (* g g) (* h h)))

simplify64.0ms

Counts: 72 → 72

prune717.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 32.8b

localize29.0ms

Local error

Found 4 expressions with local error:

3.4b	(- (* g g) (* h h))
5.8b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
31.0b	(sqrt (- (* g g) (* h h)))
31.0b	(sqrt (- (* g g) (* h h)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`cbrt-div`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
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 → 59

Calls

4 calls:

8.0ms	(- (* g g) (* h h))
33.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
9.0ms	(sqrt (- (* g g) (* h h)))
22.0ms	(sqrt (- (* g g) (* h h)))

series591.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (* g g) (* h h))
430.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
49.0ms	(sqrt (- (* g g) (* h h)))
53.0ms	(sqrt (- (* g g) (* h h)))

simplify55.0ms

Counts: 71 → 71

prune690.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 32.1b

localize68.0ms

Local error

Found 4 expressions with local error:

3.4b	(- (* g g) (* h h))
5.8b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
31.0b	(sqrt (- (* g g) (* h h)))
31.0b	(sqrt (- (* g g) (* h h)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`cbrt-div`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
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 → 59

Calls

4 calls:

16.0ms	(- (* g g) (* h h))
68.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
19.0ms	(sqrt (- (* g g) (* h h)))
18.0ms	(sqrt (- (* g g) (* h h)))

series712.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* g g) (* h h))
499.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
86.0ms	(sqrt (- (* g g) (* h h)))
83.0ms	(sqrt (- (* g g) (* h h)))

simplify45.0ms

Counts: 71 → 71

prune691.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 32.1b

localize27.0ms

Local error

Found 4 expressions with local error:

3.4b	(- (* g g) (* h h))
5.5b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
31.0b	(sqrt (- (* g g) (* h h)))
31.0b	(sqrt (- (* g g) (* h h)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`cbrt-div` `flip3--` `flip--`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
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 → 59

Calls

4 calls:

16.0ms	(- (* g g) (* h h))
48.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
9.0ms	(sqrt (- (* g g) (* h h)))
11.0ms	(sqrt (- (* g g) (* h h)))

series608.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (* g g) (* h h))
440.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
71.0ms	(sqrt (- (* g g) (* h h)))
59.0ms	(sqrt (- (* g g) (* h h)))

simplify42.0ms

Counts: 71 → 71

prune581.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 32.1b

regimes1.2s

Accuracy

88.3% (0.6b remaining)

Error of 31.9b against oracle of 31.3b and baseline of 36.5b

bsearch269.0ms

Steps

Iters	Range		Point
10	-2.2642462469951956e-148	-5.565598515937264e-162	-2.4223450526411114e-160

simplify124.0ms

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.7s	3693×	body	320	valid
1.2s	7970×	body	80	nan
1.2s	4152×	body	160	valid
15.0ms	155×	body	80	valid