Details

sample46.0ms

Algorithm

intervals

Results

26.0ms	256×	body	80	valid
8.0ms	256×	pre	80	true

simplify2.1s

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize26.0ms

Local error

Found 4 expressions with local error:

24.8b	(/ (* y y) (+ (* y y) (* x x)))
13.2b	(/ (* x x) (+ (* y y) (* x x)))
0.0b	(- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))
0.0b	(+ (* y y) (* x x))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `times-frac`
8×	`associate-/r/` `add-cube-cbrt` `add-log-exp`
6×	`associate-/r*`
5×	`flip3-+` `flip-+`
4×	`pow1` `cbrt-undiv` `div-exp` `insert-posit16` `div-inv` `difference-of-squares`
3×	`distribute-rgt-out--`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `associate-/l*`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `distribute-lft-out--` `sub-div`

Counts

4 → 83

Calls

4 calls:

Slowest

77.0ms	(- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))
19.0ms	(/ (* x x) (+ (* y y) (* x x)))
14.0ms	(/ (* y y) (+ (* y y) (* x x)))
7.0ms	(+ (* y y) (* x x))

series241.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

82.0ms	(- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))
62.0ms	(/ (* x x) (+ (* y y) (* x x)))
56.0ms	(/ (* y y) (+ (* y y) (* x x)))
41.0ms	(+ (* y y) (* x x))

simplify1.9s

Counts: 95 → 95

prune755.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize42.0ms

Local error

Found 4 expressions with local error:

24.8b	(/ (* y y) (+ (* y y) (* x x)))
13.2b	(/ (* x x) (+ (* y y) (* x x)))
0.0b	(- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))
0.0b	(log (exp (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))))

rewrite310.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `times-frac` `add-cbrt-cube` `add-exp-log`
12×	`associate-/r/` `log-pow`
11×	`exp-prod`
10×	`add-cube-cbrt`
8×	`difference-of-squares`
6×	`associate-/r*` `flip3-+` `distribute-rgt-out--` `flip-+` `div-inv` `add-log-exp`
5×	`pow1` `log-prod`
4×	`cbrt-undiv` `div-exp` `insert-posit16`
2×	`clear-num` `sub-neg` `frac-2neg` `exp-sum` `prod-exp` `cbrt-unprod` `associate-/l*` `distribute-lft-out--`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `frac-sub` `flip--` `sub-div`

Counts

4 → 98

Calls

4 calls:

Slowest

159.0ms	(log (exp (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))))
93.0ms	(- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))
31.0ms	(/ (* x x) (+ (* y y) (* x x)))
25.0ms	(/ (* y y) (+ (* y y) (* x x)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

99.0ms	(- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))
85.0ms	(log (exp (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))))
74.0ms	(/ (* x x) (+ (* y y) (* x x)))
61.0ms	(/ (* y y) (+ (* y y) (* x x)))

simplify1.4s

Counts: 110 → 110

prune901.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 4 expressions with local error:

24.8b	(/ (* y y) (+ (* y y) (* x x)))
13.2b	(/ (* x x) (+ (* y y) (* x x)))
13.2b	(/ (* x x) (+ (* y y) (* x x)))
13.2b	(/ (* x x) (+ (* y y) (* x x)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

Slowest

23.0ms	(/ (* x x) (+ (* y y) (* x x)))
19.0ms	(/ (* y y) (+ (* y y) (* x x)))
18.0ms	(/ (* x x) (+ (* y y) (* x x)))
18.0ms	(/ (* x x) (+ (* y y) (* x x)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

63.0ms	(/ (* y y) (+ (* y y) (* x x)))
62.0ms	(/ (* x x) (+ (* y y) (* x x)))
60.0ms	(/ (* x x) (+ (* y y) (* x x)))
53.0ms	(/ (* x x) (+ (* y y) (* x x)))

simplify810.0ms

Counts: 108 → 108

prune941.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize0.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

Calls

0 calls:

Slowest

series0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

simplify0.0ms

Counts: 0 → 0

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

regimes88.0ms

Accuracy

76% (4.7b remaining)

Error of 5.1b against oracle of 0.4b and baseline of 20.2b

bsearch132.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

921.0ms	8000×	body	80	valid
366.0ms	8000×	pre	80	true