Details

sample31.0ms

Algorithm

intervals

Results

11.0ms

461×

body

valid

simplify246.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	11	7
2	27	7
3	65	7
4	104	7
5	134	7
6	154	7
7	171	7
8	173	7
done	173	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite60.0ms

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:

57.0ms

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

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify2.9s

Counts

45 → 45

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	64	532
1	193	465
2	792	416
3	3639	380
done	5000	380

prune107.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

36.0ms	(* (+ x y) x)
41.0ms	(* (+ x y) y)
26.0ms	(+ (* (+ x y) x) (* (+ x y) y))

series140.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* (+ x y) x)
53.0ms	(* (+ x y) y)
42.0ms	(+ (* (+ x y) x) (* (+ x y) y))

simplify1.5s

Counts

74 → 74

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	112	875
1	311	745
2	1203	663
done	5000	637

prune241.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma y (fma x 2 y) (* x x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma y (fma x 2 y) (* x x))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(fma y (fma x 2 y) (* x x))

simplify1.3s

Counts

13 → 13

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	22	165
1	42	165
2	100	135
3	323	135
4	1691	135
done	5001	135

prune51.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y)))
11.9b	(cbrt (* (+ x y) y))
11.9b	(cbrt (* (+ x y) y))
11.9b	(cbrt (* (+ x y) y))

rewrite77.0ms

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:

37.0ms	(* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y)))
12.0ms	(cbrt (* (+ x y) y))
12.0ms	(cbrt (* (+ x y) y))
13.0ms	(cbrt (* (+ x y) y))

series1.2s

Counts

4 → 12

Calls

4 calls:

298.0ms	(* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y)))
289.0ms	(cbrt (* (+ x y) y))
302.0ms	(cbrt (* (+ x y) y))
285.0ms	(cbrt (* (+ x y) y))

simplify2.1s

Counts

92 → 92

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	128	1282
1	297	1161
2	799	1066
3	2161	973
done	5000	946

prune446.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes92.0ms

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	6	9
done	6	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

868.0ms

14314×

body

valid