Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	5	5
done	5	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ x (+ x y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`associate-/r*` `distribute-lft-out`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

23.0ms

(/ x (+ x y))

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

(/ x (+ x y))

simplify3.3s

Counts

38 → 38

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	61	336
1	122	317
2	286	299
3	587	299
4	1573	299
done	5000	299

prune126.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (/ x (+ x y)))
0.0b	(/ x (+ x y))
0.0b	(expm1 (log1p (/ x (+ x y))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
5×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-/r*` `distribute-lft-out`
3×	`pow1` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`associate-/r/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `frac-2neg` `flip3-+` `log1p-expm1` `div-exp` `clear-num` `flip-+` `div-inv` `expm1-udef`

Counts

3 → 57

Calls

3 calls:

0.0ms	(log1p (/ x (+ x y)))
12.0ms	(/ x (+ x y))
0.0ms	(expm1 (log1p (/ x (+ x y))))

series280.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(log1p (/ x (+ x y)))
64.0ms	(/ x (+ x y))
112.0ms	(expm1 (log1p (/ x (+ x y))))

simplify3.5s

Counts

66 → 66

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	82	538
1	144	493
2	309	453
3	613	453
4	1598	453
done	5000	453

prune218.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x y))
0.2b	(* x (/ 1 (+ x y)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
26×	`times-frac`
20×	`add-cube-cbrt`
18×	`associate-r`
15×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`distribute-lft-out`
5×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r*` `associate-/r/`
3×	`associate-l` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 82

Calls

2 calls:

17.0ms	(/ 1 (+ x y))
55.0ms	(* x (/ 1 (+ x y)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ 1 (+ x y))
59.0ms	(* x (/ 1 (+ x y)))

simplify4.0s

Counts

88 → 88

Iterations

Useful iterations: 2 (178.0ms)

Iter	Nodes	Cost
0	99	783
1	225	603
2	464	541
3	952	541
4	2095	541
done	5000	541

prune132.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x y) x)
0.3b	(/ 1 (/ (+ x y) x))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
92×	`*-un-lft-identity`
60×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
16×	`distribute-lft-out`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`pow-flip` `flip3-+` `associate-/r/` `flip-+` `inv-pow`

Counts

2 → 125

Calls

2 calls:

22.0ms	(/ (+ x y) x)
22.0ms	(/ 1 (/ (+ x y) x))

series108.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (+ x y) x)
60.0ms	(/ 1 (/ (+ x y) x))

simplify4.1s

Counts

131 → 131

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	160	1662
1	339	1374
2	664	1203
3	1377	1179
4	2622	1179
done	5000	1178

prune235.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample482.0ms

Algorithm

intervals

Results

214.0ms

8000×

body

valid