Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

324×

body

valid

simplify77.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	133
6	133
5	129
4	118
3	71
2	32
1	12
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

18×	`prod-diff`
16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 46

Calls

1 calls:

34.0ms

(* (* x y) (- 1.0 y))

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(* (* x y) (- 1.0 y))

simplify1.7s

Counts

49 → 49

Iterations

Iter	Nodes
done	5001
2	2291
1	336
0	110

prune162.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

3.9b	(fma (- (* y y)) x (* x (* y 1.0)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (- (* y y)) x (* x (* y 1.0)))

series90.0ms

Counts

1 → 3

Calls

1 calls:

90.0ms

(fma (- (* y y)) x (* x (* y 1.0)))

simplify599.0ms

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
3	750
2	146
1	45
0	24

prune78.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y y) (* 1.0 y))
0.7b	(* (* x y) (- (pow 1.0 3) (pow y 3)))
8.4b	(/ (* (* x y) (- (pow 1.0 3) (pow y 3))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

rewrite360.0ms

Algorithm

rewrite-expression-head

Rules

288×	`prod-diff`
174×	`add-sqr-sqrt`
160×	`*-un-lft-identity`
156×	`unpow-prod-down` `cube-prod`
150×	`add-cube-cbrt`
146×	`distribute-rgt-in` `distribute-lft-in`
56×	`sqr-pow`
48×	`cube-mult` `unpow3`
25×	`associate-r`
17×	`add-cbrt-cube` `add-exp-log`
16×	`difference-of-squares`
8×	`pow1`
6×	`prod-exp` `cbrt-unprod`
5×	`distribute-lft-out--` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `cbrt-undiv` `associate-/r*` `times-frac` `div-exp` `pow-prod-down` `log1p-expm1-u`
2×	`sub-neg` `flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`difference-cubes` `+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `distribute-rgt-out` `associate-l` `-commutative` `div-inv` `associate-/l`

Counts

3 → 380

Calls

3 calls:

11.0ms	(+ (* y y) (* 1.0 y))
163.0ms	(* (* x y) (- (pow 1.0 3) (pow y 3)))
165.0ms	(/ (* (* x y) (- (pow 1.0 3) (pow y 3))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

series491.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(+ (* y y) (* 1.0 y))
115.0ms	(* (* x y) (- (pow 1.0 3) (pow y 3)))
289.0ms	(/ (* (* x y) (- (pow 1.0 3) (pow y 3))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

simplify973.0ms

Counts

389 → 389

Iterations

Iter	Nodes
done	5001
1	1675
0	481

prune682.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

3.8b	(/ (- (pow 1.0 3) (pow y 3)) (sqrt (fma 1.0 1.0 (* y (+ y 1.0)))))
3.8b	(sqrt (fma 1.0 1.0 (* y (+ y 1.0))))
3.8b	(sqrt (fma 1.0 1.0 (* y (+ y 1.0))))
3.9b	(* (/ x (/ (sqrt (fma 1.0 1.0 (* y (+ y 1.0)))) y)) (/ (- (pow 1.0 3) (pow y 3)) (sqrt (fma 1.0 1.0 (* y (+ y 1.0))))))

rewrite503.0ms

Algorithm

rewrite-expression-head

Rules

545×	`add-sqr-sqrt`
443×	`times-frac`
314×	`*-un-lft-identity`
208×	`difference-of-squares`
193×	`sqrt-prod`
184×	`add-cube-cbrt`
156×	`unpow-prod-down` `cube-prod`
154×	`associate-r`
104×	`sqr-pow`
71×	`associate-l`
65×	`distribute-lft-out--`
27×	`add-cbrt-cube` `add-exp-log`
25×	`associate-/l*`
13×	`difference-cubes`
12×	`unswap-sqr`
10×	`cbrt-undiv` `div-exp`
8×	`pow1`
6×	`associate-/r*` `prod-exp` `cbrt-unprod` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/l/`
1×	`frac-times` `clear-num` `frac-2neg` `flip3--` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `associate-/r/` `*-commutative` `flip--`

Counts

4 → 491

Calls

4 calls:

109.0ms	(/ (- (pow 1.0 3) (pow y 3)) (sqrt (fma 1.0 1.0 (* y (+ y 1.0)))))
2.0ms	(sqrt (fma 1.0 1.0 (* y (+ y 1.0))))
3.0ms	(sqrt (fma 1.0 1.0 (* y (+ y 1.0))))
358.0ms	(* (/ x (/ (sqrt (fma 1.0 1.0 (* y (+ y 1.0)))) y)) (/ (- (pow 1.0 3) (pow y 3)) (sqrt (fma 1.0 1.0 (* y (+ y 1.0))))))

series598.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(/ (- (pow 1.0 3) (pow y 3)) (sqrt (fma 1.0 1.0 (* y (+ y 1.0)))))
72.0ms	(sqrt (fma 1.0 1.0 (* y (+ y 1.0))))
100.0ms	(sqrt (fma 1.0 1.0 (* y (+ y 1.0))))
278.0ms	(* (/ x (/ (sqrt (fma 1.0 1.0 (* y (+ y 1.0)))) y)) (/ (- (pow 1.0 3) (pow y 3)) (sqrt (fma 1.0 1.0 (* y (+ y 1.0))))))

simplify700.0ms

Counts

503 → 503

Iterations

Iter	Nodes
done	5001
1	1534
0	497

prune2.6s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes177.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample1.2s

Algorithm

intervals

Results

788.0ms

10658×

body

valid