Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

345×

body

valid

simplify33.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	23	7
3	44	7
4	58	7
done	58	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (- 1.0 (* x y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 32

Calls

1 calls:

27.0ms

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

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

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

simplify2.4s

Counts

35 → 35

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	71	411
1	151	408
2	382	356
3	1330	347
done	5000	311

prune110.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (- (* (pow x 2) y)))
8.3b	(* (pow x 2) y)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-l`
7×	`add-exp-log`
6×	`add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-r` `prod-exp`
2×	`pow1` `expm1-log1p-u` `sum-log` `log1p-expm1-u` `unpow2` `sqr-pow`
1×	`+-commutative` `neg-sub0` `pow-to-exp` `associate-+r-` `fma-def` `flip3-+` `unsub-neg` `neg-log` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 47

Calls

2 calls:

18.0ms	(+ (* x 1.0) (- (* (pow x 2) y)))
17.0ms	(* (pow x 2) y)

series98.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ (* x 1.0) (- (* (pow x 2) y)))
35.0ms	(* (pow x 2) y)

simplify4.3s

Counts

53 → 53

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	83	507
1	212	455
2	765	400
3	3635	364
done	5000	364

prune174.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (- 1.0 (* y x)) (fma x y 1.0))
0.3b	(* (* (- 1.0 (* y x)) (fma x y 1.0)) x)
7.3b	(/ (* (* (- 1.0 (* y x)) (fma x y 1.0)) x) (+ 1.0 (* x y)))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `add-sqr-sqrt` `associate-*l/`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`associate-l` `pow-prod-down`
3×	`cbrt-undiv` `expm1-log1p-u` `flip3--` `times-frac` `div-exp` `associate-/r*` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`associate-/r/` `*-commutative` `fma-udef` `associate-/l/`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*` `unswap-sqr`

Counts

3 → 75

Calls

3 calls:

40.0ms	(* (- 1.0 (* y x)) (fma x y 1.0))
39.0ms	(* (* (- 1.0 (* y x)) (fma x y 1.0)) x)
74.0ms	(/ (* (* (- 1.0 (* y x)) (fma x y 1.0)) x) (+ 1.0 (* x y)))

series377.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(* (- 1.0 (* y x)) (fma x y 1.0))
146.0ms	(* (* (- 1.0 (* y x)) (fma x y 1.0)) x)
125.0ms	(/ (* (* (- 1.0 (* y x)) (fma x y 1.0)) x) (+ 1.0 (* x y)))

simplify1.2s

Counts

84 → 84

Iterations

Useful iterations: 2 (438.0ms)

Iter	Nodes	Cost
0	138	1503
1	378	1426
2	1862	1186
done	5001	1186

prune278.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fma x y 1.0) (fma x y 1.0))
0.3b	(* (* y x) (* y x))
1.2b	(* (* (- (* 1.0 1.0) (* (* y x) (* y x))) (fma x y 1.0)) x)
9.9b	(/ (* (* (- (* 1.0 1.0) (* (* y x) (* y x))) (fma x y 1.0)) x) (* (fma x y 1.0) (fma x y 1.0)))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

55×	`pow1`
44×	`add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-*l/`
7×	`associate-r`
6×	`cbrt-undiv` `div-exp`
5×	`associate-l` `pow-sqr` `pow-prod-up`
4×	`expm1-log1p-u` `swap-sqr` `log1p-expm1-u` `add-log-exp`
3×	`pow-plus` `*-commutative`
2×	`pow2` `flip3--` `flip--` `fma-udef` `associate-/l/`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

9.0ms	(* (fma x y 1.0) (fma x y 1.0))
49.0ms	(* (* y x) (* y x))
71.0ms	(* (* (- (* 1.0 1.0) (* (* y x) (* y x))) (fma x y 1.0)) x)
91.0ms	(/ (* (* (- (* 1.0 1.0) (* (* y x) (* y x))) (fma x y 1.0)) x) (* (fma x y 1.0) (fma x y 1.0)))

series425.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (fma x y 1.0) (fma x y 1.0))
57.0ms	(* (* y x) (* y x))
132.0ms	(* (* (- (* 1.0 1.0) (* (* y x) (* y x))) (fma x y 1.0)) x)
158.0ms	(/ (* (* (- (* 1.0 1.0) (* (* y x) (* y x))) (fma x y 1.0)) x) (* (fma x y 1.0) (fma x y 1.0)))

simplify2.3s

Counts

128 → 128

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	169	2589
1	482	2375
2	2607	1535
done	5000	1381

prune373.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes55.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample826.0ms

Algorithm

intervals

Results

391.0ms

10666×

body

valid