Details

sample28.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	13
2	13
1	12
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- x 1))
0.0b	(/ x (+ x 1))
0.0b	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

87×	`*-un-lft-identity`
63×	`add-sqr-sqrt`
62×	`times-frac`
35×	`add-cube-cbrt`
27×	`fma-def`
14×	`difference-of-squares`
12×	`distribute-lft-out`
11×	`associate-/r*`
9×	`add-exp-log` `distribute-lft-out--`
7×	`add-cbrt-cube` `difference-of-sqr-1`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `div-inv`
3×	`expm1-log1p-u` `div-exp` `log1p-expm1-u`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `flip-+` `flip--`
1×	`+-commutative` `rec-exp` `sum-log` `1-exp` `frac-add` `pow-flip` `inv-pow`

Counts

3 → 133

Calls

3 calls:

13.0ms	(/ 1 (- x 1))
12.0ms	(/ x (+ x 1))
56.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

series144.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ 1 (- x 1))
24.0ms	(/ x (+ x 1))
99.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

simplify19.6s

Counts

142 → 142

Iterations

Iter	Nodes
3	3505
2	1089
1	379
0	173

prune985.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1))
0.0b	(+ (log (exp (/ 1 (- x 1)))) (/ x (+ x 1)))
0.0b	(exp (/ 1 (- x 1)))
2.4b	(log (exp (/ 1 (- x 1))))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 162

Calls

4 calls:

14.0ms	(/ x (+ x 1))
165.0ms	(+ (log (exp (/ 1 (- x 1)))) (/ x (+ x 1)))
10.0ms	(exp (/ 1 (- x 1)))
13.0ms	(log (exp (/ 1 (- x 1))))

series176.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ x (+ x 1))
86.0ms	(+ (log (exp (/ 1 (- x 1)))) (/ x (+ x 1)))
29.0ms	(exp (/ 1 (- x 1)))
28.0ms	(log (exp (/ 1 (- x 1))))

simplify2.4s

Counts

174 → 174

Iterations

Iter	Nodes
3	2800
2	918
1	408
0	211

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (+ x 1)) (/ 1 (- x 1)))
0.0b	(* (/ x (+ x 1)) (/ x (+ x 1)))
0.1b	(/ (/ 1 (- x 1)) (* (- x 1) (- x 1)))
0.1b	(/ (/ 1 (- x 1)) (- x 1))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

1219×	`times-frac`
1171×	`*-un-lft-identity`
1077×	`add-sqr-sqrt`
600×	`add-cube-cbrt`
486×	`prod-diff`
230×	`difference-of-squares`
130×	`associate-/r/`
120×	`distribute-lft-out--`
112×	`difference-of-sqr-1`
104×	`distribute-lft-out`
63×	`div-inv`
54×	`associate-/l*`
47×	`add-exp-log`
36×	`flip3--` `flip--`
33×	`add-cbrt-cube`
32×	`flip3-+` `flip-+`
28×	`pow1`
24×	`swap-sqr`
22×	`div-exp`
18×	`fma-neg` `associate-r` `associate-l`
13×	`cbrt-undiv`
10×	`pow-div`
8×	`associate-/r*` `prod-exp`
6×	`cbrt-unprod` `add-log-exp`
5×	`frac-times` `pow-flip` `inv-pow`
4×	`expm1-log1p-u` `log1p-expm1-u` `unswap-sqr`
3×	`pow2` `rec-exp` `pow-plus` `1-exp` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`sub-neg` `diff-log` `pow-prod-down` `*-commutative` `frac-sub`

Counts

4 → 963

Calls

4 calls:

59.0ms	(- (/ x (+ x 1)) (/ 1 (- x 1)))
27.0ms	(* (/ x (+ x 1)) (/ x (+ x 1)))
39.0ms	(/ (/ 1 (- x 1)) (* (- x 1) (- x 1)))
16.0ms	(/ (/ 1 (- x 1)) (- x 1))

series186.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (/ x (+ x 1)) (/ 1 (- x 1)))
46.0ms	(* (/ x (+ x 1)) (/ x (+ x 1)))
41.0ms	(/ (/ 1 (- x 1)) (* (- x 1) (- x 1)))
32.0ms	(/ (/ 1 (- x 1)) (- x 1))

simplify2.3s

Counts

975 → 975

Iterations

Iter	Nodes
1	2479
0	957

prune14.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

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
2	9
1	9
0	7

end0.0ms

sample845.0ms

Algorithm

intervals

Results

735.0ms

8000×

body

valid