Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

482×

body

valid

simplify119.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	7
1	11	7
2	26	7
3	50	7
4	87	7
5	113	7
6	131	7
7	144	7
8	146	7
done	146	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ x y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 42

Calls

1 calls:

18.0ms

(* (+ x y) (+ x y))

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(* (+ x y) (+ x y))

simplify2.7s

Counts

45 → 45

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	64	532
1	190	465
2	780	416
3	4155	380
done	5000	380

prune69.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ x y))
0.0b	(+ (* x (+ x y)) (* (+ x y) y))
0.0b	(* (+ x y) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

9.0ms	(* x (+ x y))
6.0ms	(+ (* x (+ x y)) (* (+ x y) y))
10.0ms	(* (+ x y) y)

series79.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* x (+ x y))
25.0ms	(+ (* x (+ x y)) (* (+ x y) y))
27.0ms	(* (+ x y) y)

simplify817.0ms

Counts

77 → 77

Iterations

Useful iterations: done (816.0ms)

Iter	Nodes	Cost
0	116	900
1	343	766
2	1314	690
done	5000	652

prune132.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x (+ x y) (* (+ x y) y))
0.0b	(* (+ x y) y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

0.0ms	(fma x (+ x y) (* (+ x y) y))
10.0ms	(* (+ x y) y)

series57.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(fma x (+ x y) (* (+ x y) y))
26.0ms	(* (+ x y) y)

simplify2.4s

Counts

39 → 39

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	60	372
1	130	331
2	436	276
3	1614	266
done	5000	260

prune73.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y)))
10.1b	(cbrt (* (+ x y) y))
10.1b	(cbrt (* (+ x y) y))
10.1b	(cbrt (* (+ x y) y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

9.0ms	(* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y)))
3.0ms	(cbrt (* (+ x y) y))
3.0ms	(cbrt (* (+ x y) y))
5.0ms	(cbrt (* (+ x y) y))

series643.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y)))
154.0ms	(cbrt (* (+ x y) y))
152.0ms	(cbrt (* (+ x y) y))
153.0ms	(cbrt (* (+ x y) y))

simplify1.1s

Counts

92 → 92

Iterations

Useful iterations: 3 (435.0ms)

Iter	Nodes	Cost
0	128	1282
1	297	1163
2	822	1066
3	2379	973
done	5001	973

prune244.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	7	10
done	7	10

end0.0ms

sample427.0ms

Algorithm

intervals

Results

212.0ms

14354×

body

valid