Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	11
0	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(/ 1.0 (- x 1.0))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
50×	`times-frac`
45×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
21×	`fma-def`
11×	`distribute-lft-out`
9×	`associate-/r*` `distribute-lft-out--`
7×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `flip--`
1×	`+-commutative` `sum-log` `frac-add`

Counts

3 → 114

Calls

3 calls:

9.0ms	(/ x (+ x 1.0))
114.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
18.0ms	(/ 1.0 (- x 1.0))

series307.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ x (+ x 1.0))
188.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
55.0ms	(/ 1.0 (- x 1.0))

simplify1.2s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	1736
1	431
0	175

prune524.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
0.0b	(/ 1.0 (- x 1.0))
3.0b	(log (exp (/ 1.0 (- x 1.0))))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
64×	`add-sqr-sqrt`
57×	`times-frac`
45×	`log-pow`
44×	`add-cube-cbrt`
42×	`exp-prod`
25×	`fma-def`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log` `associate-/r/`
7×	`pow1`
6×	`log-prod` `distribute-lft-out` `associate-/l*`
5×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv`
3×	`associate-+l+` `flip3--` `flip--`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+`
1×	`+-commutative` `sum-log` `rem-log-exp`

Counts

4 → 152

Calls

4 calls:

9.0ms	(/ x (+ x 1.0))
183.0ms	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
17.0ms	(/ 1.0 (- x 1.0))
35.0ms	(log (exp (/ 1.0 (- x 1.0))))

series360.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ x (+ x 1.0))
214.0ms	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
47.0ms	(/ 1.0 (- x 1.0))
43.0ms	(log (exp (/ 1.0 (- x 1.0))))

simplify1.3s

Counts

164 → 164

Iterations

Iter	Nodes
done	5000
2	1781
1	478
0	226

prune825.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ x (+ x 1.0)))
0.0b	(/ 1.0 (- x 1.0))
3.0b	(log (exp (/ 1.0 (- x 1.0))))
3.5b	(log (exp (/ x (+ x 1.0))))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
57×	`exp-prod`
55×	`add-sqr-sqrt`
54×	`times-frac`
41×	`log-pow` `add-cube-cbrt`
8×	`associate-/r/`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `log-prod` `add-cbrt-cube` `add-exp-log` `distribute-lft-out`
5×	`associate-/r*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv`
3×	`associate-/l*`
2×	`flip3-+` `flip3--` `rem-log-exp` `flip-+` `flip--`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `rem-exp-log`

Counts

4 → 134

Calls

4 calls:

22.0ms	(exp (/ x (+ x 1.0)))
20.0ms	(/ 1.0 (- x 1.0))
36.0ms	(log (exp (/ 1.0 (- x 1.0))))
34.0ms	(log (exp (/ x (+ x 1.0))))

series610.0ms

Counts

4 → 12

Calls

4 calls:

450.0ms	(exp (/ x (+ x 1.0)))
38.0ms	(/ 1.0 (- x 1.0))
57.0ms	(log (exp (/ 1.0 (- x 1.0))))
64.0ms	(log (exp (/ x (+ x 1.0))))

simplify1.0s

Counts

146 → 146

Iterations

Iter	Nodes
done	5001
2	1204
1	400
0	224

prune811.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (/ 1.0 (- x 1.0)))
0.4b	(cbrt (/ 1.0 (- x 1.0)))
0.4b	(cbrt (/ 1.0 (- x 1.0)))
3.5b	(log (exp (/ x (+ x 1.0))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
63×	`cbrt-prod`
58×	`add-sqr-sqrt`
57×	`times-frac`
40×	`add-cube-cbrt`
19×	`log-pow`
18×	`exp-prod`
9×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `log-prod` `flip3--` `pow1/3` `flip--` `distribute-lft-out`
1×	`flip3-+` `rem-log-exp` `flip-+`

Counts

4 → 128

Calls

4 calls:

11.0ms	(cbrt (/ 1.0 (- x 1.0)))
9.0ms	(cbrt (/ 1.0 (- x 1.0)))
14.0ms	(cbrt (/ 1.0 (- x 1.0)))
32.0ms	(log (exp (/ x (+ x 1.0))))

series593.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt (/ 1.0 (- x 1.0)))
170.0ms	(cbrt (/ 1.0 (- x 1.0)))
197.0ms	(cbrt (/ 1.0 (- x 1.0)))
48.0ms	(log (exp (/ x (+ x 1.0))))

simplify2.6s

Counts

140 → 140

Iterations

Iter	Nodes
done	5000
3	4970
2	1140
1	398
0	216

prune895.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample704.0ms

Algorithm

intervals

Results

488.0ms

8000×

body

valid