Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

343×

body

valid

simplify97.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	32	7
3	70	7
4	101	7
5	108	7
6	112	7
done	112	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite37.0ms

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-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 46

Calls

1 calls:

35.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify3.5s

Counts

49 → 49

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	110	883
1	274	712
2	834	570
3	3358	528
done	5000	402

prune81.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- 1.0 y))
0.1b	(* (* x (- 1.0 y)) y)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-r`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `associate-l/` `-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 68

Calls

2 calls:

37.0ms	(* x (- 1.0 y))
58.0ms	(* (* x (- 1.0 y)) y)

series122.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* x (- 1.0 y))
73.0ms	(* (* x (- 1.0 y)) y)

simplify2.8s

Counts

74 → 74

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	129	982
1	268	806
2	721	652
3	3132	598
done	5002	544

prune158.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 x) (* (- y) x))
0.1b	(* (+ (* 1.0 x) (* (- y) x)) y)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`distribute-lft-neg-out` `expm1-log1p-u` `distribute-rgt-out` `flip3-+` `associate-*l/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

9.0ms	(+ (* 1.0 x) (* (- y) x))
26.0ms	(* (+ (* 1.0 x) (* (- y) x)) y)

series117.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (* 1.0 x) (* (- y) x))
70.0ms	(* (+ (* 1.0 x) (* (- y) x)) y)

simplify2.8s

Counts

46 → 46

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	66	555
1	186	411
2	754	369
3	3300	352
done	5000	352

prune101.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 1.0 x) (* (- y) x))) (cbrt (+ (* 1.0 x) (* (- y) x))))
0.6b	(cbrt (+ (* 1.0 x) (* (- y) x)))
0.6b	(cbrt (+ (* 1.0 x) (* (- y) x)))
0.6b	(cbrt (* x (- 1.0 y)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

29×	`cbrt-prod`
22×	`add-sqr-sqrt`
18×	`cbrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`flip3-+` `flip-+`
7×	`swap-sqr` `associate-r` `associate-l`
6×	`add-exp-log` `distribute-rgt-out`
4×	`expm1-log1p-u` `frac-times` `associate-*r/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `flip3--` `pow-plus` `prod-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

100.0ms	(* (cbrt (+ (* 1.0 x) (* (- y) x))) (cbrt (+ (* 1.0 x) (* (- y) x))))
10.0ms	(cbrt (+ (* 1.0 x) (* (- y) x)))
10.0ms	(cbrt (+ (* 1.0 x) (* (- y) x)))
8.0ms	(cbrt (* x (- 1.0 y)))

series885.0ms

Counts

4 → 12

Calls

4 calls:

288.0ms	(* (cbrt (+ (* 1.0 x) (* (- y) x))) (cbrt (+ (* 1.0 x) (* (- y) x))))
192.0ms	(cbrt (+ (* 1.0 x) (* (- y) x)))
201.0ms	(cbrt (+ (* 1.0 x) (* (- y) x)))
204.0ms	(cbrt (* x (- 1.0 y)))

simplify3.3s

Counts

110 → 110

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	208	2757
1	511	2106
2	1473	1950
3	4744	1633
done	5000	1633

prune620.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample867.0ms

Algorithm

intervals

Results

453.0ms

10573×

body

valid