Details

sample70.0ms

Algorithm

intervals

Results

20.0ms	47×	body	1280	valid
18.0ms	133×	body	80	valid
17.0ms	48×	body	640	valid
4.0ms	16×	body	320	valid
2.0ms	12×	body	160	valid

simplify97.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

97.0ms

(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize26.0ms

Local error

Found 3 expressions with local error:

3.0b	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
0.0b	(/ (+ x 1) (- x 1))
0.0b	(/ x (+ x 1))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

1284×	`*-un-lft-identity`
984×	`times-frac`
841×	`add-sqr-sqrt`
612×	`prod-diff`
521×	`add-cube-cbrt`
251×	`distribute-lft-out`
158×	`difference-of-squares`
110×	`associate-/r/`
90×	`distribute-lft-out--`
77×	`difference-of-sqr-1`
55×	`div-inv`
37×	`flip3-+` `flip-+`
20×	`flip3--` `flip--`
18×	`fma-neg`
11×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-/l/`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 753

Calls

3 calls:

Slowest

115.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
23.0ms	(/ (+ x 1) (- x 1))
8.0ms	(/ x (+ x 1))

series137.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

89.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
24.0ms	(/ x (+ x 1))
23.0ms	(/ (+ x 1) (- x 1))

simplify5.4m

Counts

1382 → 762

Calls

1382 calls:

Slowest

1.2s	(fma (- (+ x 1)) (/ (+ x 1) (- (* x x) (* 1 1))) (* (+ x 1) (/ (+ x 1) (- (* x x) (* 1 1)))))
909.0ms	(fma (- (+ x 1)) (/ (+ x 1) (- (* x x) (* 1 1))) (* (+ x 1) (/ (+ x 1) (- (* x x) (* 1 1)))))
830.0ms	(fma (- (/ (+ x 1) (sqrt (- x 1)))) (/ 1 (sqrt (- x 1))) (* (/ (+ x 1) (sqrt (- x 1))) (/ 1 (sqrt (- x 1)))))
802.0ms	(fma (/ x (- (* x x) (* 1 1))) (- x 1) (- (* (sqrt (/ (+ x 1) (- x 1))) (sqrt (/ (+ x 1) (- x 1))))))
800.0ms	(fma (- (/ (+ x 1) (sqrt (- x 1)))) (/ 1 (sqrt (- x 1))) (* (/ (+ x 1) (sqrt (- x 1))) (/ 1 (sqrt (- x 1)))))

prune4.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

29.3b	(fma (/ x (fma x (* x x) 1)) (+ (* x x) (- (* 1 1) (* x 1))) (- (/ (+ x 1) (- x 1))))
7.4b	(/ x (fma x (* x x) 1))
0.0b	(fma x (* x x) 1)
0.0b	(+ (* x x) (- (* 1 1) (* x 1)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac` `add-log-exp`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`associate-+r+` `associate-/r` `associate-/l`
2×	`sum-log` `fma-udef`
1×	`cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `sub-neg` `fma-def` `frac-2neg` `flip3-+` `diff-log` `div-exp` `prod-diff` `flip-+` `div-inv`

Counts

4 → 72

Calls

4 calls:

Slowest

20.0ms	(+ (* x x) (- (* 1 1) (* x 1)))
5.0ms	(/ x (fma x (* x x) 1))
0.0ms	(fma (/ x (fma x (* x x) 1)) (+ (* x x) (- (* 1 1) (* x 1))) (- (/ (+ x 1) (- x 1))))
0.0ms	(fma x (* x x) 1)

series650.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

464.0ms	(fma (/ x (fma x (* x x) 1)) (+ (* x x) (- (* 1 1) (* x 1))) (- (/ (+ x 1) (- x 1))))
90.0ms	(/ x (fma x (* x x) 1))
75.0ms	(fma x (* x x) 1)
22.0ms	(+ (* x x) (- (* 1 1) (* x 1)))

simplify2.3s

Counts

43 → 84

Calls

43 calls:

Slowest

231.0ms	(- (+ (/ 1 (pow x 8)) (/ 1 (pow x 2))) (/ 1 (pow x 5)))
226.0ms	(- (+ (/ 1 (pow x 8)) (/ 1 (pow x 2))) (/ 1 (pow x 5)))
185.0ms	(- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x)))))
180.0ms	(- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x)))))
158.0ms	(/ (* (* x x) x) (* (* (fma x (* x x) 1) (fma x (* x x) 1)) (fma x (* x x) 1)))

prune646.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize54.0ms

Local error

Found 4 expressions with local error:

29.3b	(fma (/ x (fma x (* x x) 1)) (+ (* x x) (- (* 1 1) (* x 1))) (- (/ (+ x 1) (- x 1))))
29.3b	(fma (/ x (fma x (* x x) 1)) (+ (* x x) (- (* 1 1) (* x 1))) (- (/ (+ x 1) (- x 1))))
29.3b	(fma (/ x (fma x (* x x) 1)) (+ (* x x) (- (* 1 1) (* x 1))) (- (/ (+ x 1) (- x 1))))
7.4b	(/ x (fma x (* x x) 1))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `fma-udef` `associate-/l`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 63

Calls

4 calls:

Slowest

4.0ms	(/ x (fma x (* x x) 1))
0.0ms	(fma (/ x (fma x (* x x) 1)) (+ (* x x) (- (* 1 1) (* x 1))) (- (/ (+ x 1) (- x 1))))
0.0ms	(fma (/ x (fma x (* x x) 1)) (+ (* x x) (- (* 1 1) (* x 1))) (- (/ (+ x 1) (- x 1))))
0.0ms	(fma (/ x (fma x (* x x) 1)) (+ (* x x) (- (* 1 1) (* x 1))) (- (/ (+ x 1) (- x 1))))

series451.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

124.0ms	(fma (/ x (fma x (* x x) 1)) (+ (* x x) (- (* 1 1) (* x 1))) (- (/ (+ x 1) (- x 1))))
122.0ms	(fma (/ x (fma x (* x x) 1)) (+ (* x x) (- (* 1 1) (* x 1))) (- (/ (+ x 1) (- x 1))))
118.0ms	(fma (/ x (fma x (* x x) 1)) (+ (* x x) (- (* 1 1) (* x 1))) (- (/ (+ x 1) (- x 1))))
87.0ms	(/ x (fma x (* x x) 1))

simplify2.7s

Counts

37 → 75

Calls

37 calls:

Slowest

221.0ms	(- (+ (/ 1 (pow x 8)) (/ 1 (pow x 2))) (/ 1 (pow x 5)))
217.0ms	(- (+ (/ 1 (pow x 8)) (/ 1 (pow x 2))) (/ 1 (pow x 5)))
184.0ms	(- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x)))))
179.0ms	(- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x)))))
178.0ms	(- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x)))))

prune746.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize7.0ms

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

Calls

0 calls:

Slowest

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes37.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 30.3b

bsearch108.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

501.0ms	1724×	body	1280	valid
332.0ms	1257×	body	640	valid
291.0ms	4066×	body	80	valid
94.0ms	610×	body	320	valid
56.0ms	343×	body	160	valid