Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify14.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	12	11
done	12	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite185.0ms

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-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+`
1×	`+-commutative` `frac-add` `sum-log`

Counts

3 → 114

Calls

3 calls:

13.0ms	(/ x (+ x 1.0))
14.0ms	(/ 1.0 (- x 1.0))
149.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series234.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ x (+ x 1.0))
32.0ms	(/ 1.0 (- x 1.0))
154.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify1.9s

Counts

123 → 123

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	175	1183
1	431	1098
2	1740	1043
done	5001	1039

prune394.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ 1.0 (- x 1.0)))
0.0b	(/ 1.0 (- x 1.0))
0.0b	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
3.8b	(log (exp (/ 1.0 (- x 1.0))))

rewrite347.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 148

Calls

4 calls:

35.0ms	(exp (/ 1.0 (- x 1.0)))
19.0ms	(/ 1.0 (- x 1.0))
263.0ms	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
23.0ms	(log (exp (/ 1.0 (- x 1.0))))

series361.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(exp (/ 1.0 (- x 1.0)))
35.0ms	(/ 1.0 (- x 1.0))
198.0ms	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
50.0ms	(log (exp (/ 1.0 (- x 1.0))))

simplify968.0ms

Counts

160 → 160

Iterations

Useful iterations: done (960.0ms)

Iter	Nodes	Cost
0	194	1546
1	414	1327
2	1356	1260
done	5001	1252

prune542.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
0.0b	(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
0.0b	(pow (/ x (+ x 1.0)) 3)
0.2b	(pow (/ 1.0 (- x 1.0)) 3)

rewrite911.0ms

Algorithm

rewrite-expression-head

Rules

1829×	`*-un-lft-identity`
1669×	`times-frac`
1412×	`add-sqr-sqrt`
1134×	`prod-diff`
1047×	`add-cube-cbrt`
380×	`distribute-rgt-in` `distribute-lft-in`
246×	`associate-/r/`
205×	`distribute-lft-out`
182×	`distribute-lft-out--`
176×	`difference-of-squares`
123×	`div-inv`
67×	`flip3-+` `flip-+`
59×	`flip3--` `flip--`
39×	`unpow-prod-down` `cube-prod`
18×	`fma-neg` `associate-l`
15×	`add-exp-log` `add-cbrt-cube`
12×	`associate-r`
8×	`pow1`
6×	`pow-unpow` `add-log-exp`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u` `rem-cube-cbrt`
3×	`cbrt-undiv` `frac-times` `sub-neg` `associate-*r/` `div-exp` `frac-sub`
2×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `unpow3` `prod-exp` `cbrt-unprod` `unswap-sqr` `sqr-pow`
1×	`diff-log` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 1356

Calls

4 calls:

129.0ms	(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
471.0ms	(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
25.0ms	(pow (/ x (+ x 1.0)) 3)
17.0ms	(pow (/ 1.0 (- x 1.0)) 3)

series462.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
197.0ms	(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
83.0ms	(pow (/ x (+ x 1.0)) 3)
65.0ms	(pow (/ 1.0 (- x 1.0)) 3)

simplify4.6s

Counts

1368 → 1368

Iterations

Useful iterations: done (4.5s)

Iter	Nodes	Cost
0	1234	81112
1	4287	69204
done	5000	67423

prune5.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes41.0ms

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	9	13
1	11	13
done	11	13

end0.0ms

sample604.0ms

Algorithm

intervals

Results

423.0ms

8000×

body

valid