Details

sample124.0ms

Algorithm

intervals

Results

29.0ms	193×	body	80	valid
23.0ms	25×	body	2560	valid
21.0ms	14×	body	640	valid
14.0ms	256×	pre	80	true
12.0ms	17×	body	1280	valid
3.0ms	6×	body	320	valid
0.0ms	1×	body	160	valid

simplify134.0ms

Counts: 1 → 1

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize43.0ms

Local error

Found 4 expressions with local error:

15.7b	(sqrt (+ (* x x) (* p (* 4 p))))
0.3b	(+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)
0.0b	(sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))
0.0b	(/ x (sqrt (+ (* x x) (* p (* 4 p)))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `associate-/r*` `add-cbrt-cube` `sqrt-div` `add-exp-log` `add-log-exp`
4×	`flip3-+` `flip-+` `insert-posit16`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 86

Calls

4 calls:

Slowest

33.0ms	(sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))
12.0ms	(+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)
10.0ms	(/ x (sqrt (+ (* x x) (* p (* 4 p)))))
6.0ms	(sqrt (+ (* x x) (* p (* 4 p))))

series629.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

310.0ms	(sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))
130.0ms	(+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)
100.0ms	(/ x (sqrt (+ (* x x) (* p (* 4 p)))))
89.0ms	(sqrt (+ (* x x) (* p (* 4 p))))

simplify1.1s

Counts: 98 → 98

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 12.5b

localize67.0ms

Local error

Found 4 expressions with local error:

15.7b	(sqrt (+ (* x x) (* (* p 4) p)))
15.7b	(sqrt (+ (* x x) (* (* p 4) p)))
15.7b	(sqrt (+ (* x x) (* (* p 4) p)))
3.4b	(/ (* x x) (+ (* x x) (* (* p 4) p)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `sqrt-prod`
7×	`pow1`
6×	`sqrt-div`
4×	`flip3-+` `flip-+` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `associate-/r*` `sqrt-pow1` `times-frac` `pow1/2`
2×	`cbrt-undiv` `div-exp` `associate-/r/`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 72

Calls

4 calls:

Slowest

15.0ms	(/ (* x x) (+ (* x x) (* (* p 4) p)))
13.0ms	(sqrt (+ (* x x) (* (* p 4) p)))
8.0ms	(sqrt (+ (* x x) (* (* p 4) p)))
6.0ms	(sqrt (+ (* x x) (* (* p 4) p)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

84.0ms	(sqrt (+ (* x x) (* (* p 4) p)))
74.0ms	(sqrt (+ (* x x) (* (* p 4) p)))
73.0ms	(/ (* x x) (+ (* x x) (* (* p 4) p)))
63.0ms	(sqrt (+ (* x x) (* (* p 4) p)))

simplify1.4s

Counts: 84 → 84

prune1.7s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 12.5b

localize100.0ms

Local error

Found 4 expressions with local error:

15.7b	(sqrt (+ (* x x) (* (* p 4) p)))
15.7b	(sqrt (+ (* x x) (* (* p 4) p)))
15.7b	(sqrt (+ (* x x) (* (* p 4) p)))
3.5b	(* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
21×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
15×	`-un-lft-identity` `associate-r*`
14×	`add-cube-cbrt`
12×	`pow1` `prod-exp`
11×	`times-frac`
9×	`sqrt-prod`
6×	`sqrt-div` `cbrt-unprod`
4×	`flip3-+` `div-exp` `flip-+` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/r/`
1×	`associate-l` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 92

Calls

4 calls:

Slowest

62.0ms	(* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))
22.0ms	(sqrt (+ (* x x) (* (* p 4) p)))
12.0ms	(sqrt (+ (* x x) (* (* p 4) p)))
6.0ms	(sqrt (+ (* x x) (* (* p 4) p)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

70.0ms	(sqrt (+ (* x x) (* (* p 4) p)))
70.0ms	(* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))
68.0ms	(sqrt (+ (* x x) (* (* p 4) p)))
62.0ms	(sqrt (+ (* x x) (* (* p 4) p)))

simplify1.7s

Counts: 104 → 104

prune2.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 12.4b

localize116.0ms

Local error

Found 4 expressions with local error:

15.7b	(sqrt (+ (* x x) (* (* p 4) p)))
15.7b	(sqrt (+ (* x x) (* (* p 4) p)))
15.7b	(sqrt (+ (* x x) (* (* p 4) p)))
15.7b	(sqrt (+ (* x x) (* (* p 4) p)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
4×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

Slowest

7.0ms	(sqrt (+ (* x x) (* (* p 4) p)))
7.0ms	(sqrt (+ (* x x) (* (* p 4) p)))
6.0ms	(sqrt (+ (* x x) (* (* p 4) p)))
6.0ms	(sqrt (+ (* x x) (* (* p 4) p)))

series733.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

542.0ms	(sqrt (+ (* x x) (* (* p 4) p)))
80.0ms	(sqrt (+ (* x x) (* (* p 4) p)))
57.0ms	(sqrt (+ (* x x) (* (* p 4) p)))
55.0ms	(sqrt (+ (* x x) (* (* p 4) p)))

simplify1.1s

Counts: 76 → 76

prune1.8s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 12.4b

regimes293.0ms

Accuracy

0% (0.5b remaining)

Error of 13.3b against oracle of 12.8b and baseline of 13.3b

bsearch10.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.4s	6057×	body	80	valid
762.0ms	757×	body	2560	valid
517.0ms	615×	body	1280	valid
443.0ms	8000×	pre	80	true
214.0ms	307×	body	640	valid
59.0ms	52×	body	5120	valid
52.0ms	137×	body	320	valid
22.0ms	75×	body	160	valid