Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	9	7
done	9	7

prune2.0ms

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))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

11.0ms

(/ (+ x y) (- x y))

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(/ (+ x y) (- x y))

simplify2.1s

Counts

48 → 48

Iterations

Useful iterations: 3 (210.0ms)

Iter	Nodes	Cost
0	76	590
1	170	567
2	429	539
3	1192	532
4	3688	532
done	5001	532

prune80.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (exp (/ (+ x y) (- x y))))
0.0b	(exp (/ (+ x y) (- x y)))
0.0b	(/ (+ x y) (- x y))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
60×	`times-frac`
52×	`exp-prod`
35×	`add-cube-cbrt`
27×	`log-pow`
16×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1` `associate-/l*` `add-log-exp`
3×	`log-prod` `flip3--` `flip--` `div-inv`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `flip-+` `rem-exp-log`

Counts

3 → 117

Calls

3 calls:

20.0ms	(log (exp (/ (+ x y) (- x y))))
18.0ms	(exp (/ (+ x y) (- x y)))
11.0ms	(/ (+ x y) (- x y))

series203.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(log (exp (/ (+ x y) (- x y))))
75.0ms	(exp (/ (+ x y) (- x y)))
64.0ms	(/ (+ x y) (- x y))

simplify2.5s

Counts

126 → 126

Iterations

Useful iterations: 3 (213.0ms)

Iter	Nodes	Cost
0	132	1387
1	236	1247
2	514	1182
3	1394	1163
4	4048	1163
done	5000	1163

prune238.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (cbrt (pow (/ (+ x y) (- x y)) 3)))
0.0b	(cbrt (pow (/ (+ x y) (- x y)) 3))
0.0b	(/ (+ x y) (- x y))
0.1b	(pow (/ (+ x y) (- x y)) 3)

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

209×	`*-un-lft-identity`
140×	`times-frac`
137×	`add-sqr-sqrt`
116×	`cbrt-prod`
79×	`add-cube-cbrt`
78×	`unpow-prod-down` `cube-prod`
61×	`exp-prod`
36×	`distribute-lft-out`
29×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`flip3--` `flip--` `div-inv`
5×	`pow1` `associate-/r*` `add-log-exp`
4×	`associate-/l*`
3×	`cube-mult` `pow-unpow` `unpow3` `sqr-pow`
2×	`cbrt-undiv` `cube-div` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `rem-cbrt-cube` `flip-+` `rem-exp-log`

Counts

4 → 254

Calls

4 calls:

59.0ms	(exp (cbrt (pow (/ (+ x y) (- x y)) 3)))
13.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
13.0ms	(/ (+ x y) (- x y))
12.0ms	(pow (/ (+ x y) (- x y)) 3)

series420.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(exp (cbrt (pow (/ (+ x y) (- x y)) 3)))
87.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
64.0ms	(/ (+ x y) (- x y))
75.0ms	(pow (/ (+ x y) (- x y)) 3)

simplify631.0ms

Counts

266 → 266

Iterations

Useful iterations: 2 (217.0ms)

Iter	Nodes	Cost
0	212	4247
1	518	3423
2	1743	3130
done	5000	3130

prune418.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x y) (- x y))
0.0b	(/ (+ x y) (- x y))
0.0b	(log (sqrt (exp (/ (+ x y) (- x y)))))
0.0b	(log (sqrt (exp (/ (+ x y) (- x y)))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

130×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
80×	`times-frac`
58×	`log-pow`
54×	`sqrt-pow1`
52×	`exp-prod`
50×	`add-cube-cbrt`
22×	`distribute-lft-out`
18×	`distribute-lft-out--` `difference-of-squares`
12×	`log-prod`
10×	`add-exp-log` `associate-/r*`
8×	`pow1` `associate-/r/` `add-cbrt-cube` `associate-/l*`
6×	`sqrt-prod`
4×	`flip3--` `flip--` `div-inv` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `pow1/2` `div-exp` `rem-log-exp` `clear-num` `flip-+`

Counts

4 → 176

Calls

4 calls:

11.0ms	(/ (+ x y) (- x y))
11.0ms	(/ (+ x y) (- x y))
24.0ms	(log (sqrt (exp (/ (+ x y) (- x y)))))
21.0ms	(log (sqrt (exp (/ (+ x y) (- x y)))))

series454.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ (+ x y) (- x y))
66.0ms	(/ (+ x y) (- x y))
167.0ms	(log (sqrt (exp (/ (+ x y) (- x y)))))
155.0ms	(log (sqrt (exp (/ (+ x y) (- x y)))))

simplify2.2s

Counts

188 → 188

Iterations

Useful iterations: 3 (222.0ms)

Iter	Nodes	Cost
0	143	2300
1	245	2080
2	518	1966
3	1388	1940
4	4011	1940
done	5001	1940

prune505.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes51.0ms

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	7	9
1	8	9
done	8	9

end0.0ms

sample278.0ms

Algorithm

intervals

Results

153.0ms

8000×

body

valid