Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	5
1	12	5
2	12	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite63.0ms

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:

48.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ x (+ x 1.0))

series183.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
32.0ms	(/ 1.0 (- x 1.0))
34.0ms	(/ x (+ x 1.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	400	551
1	1470	525
2	5001	521

prune226.0ms

Filtered

123 candidates to 94 candidates (76.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
0.0b	(pow (/ x (+ x 1.0)) 3)
0.1b	(pow (/ 1.0 (- x 1.0)) 3)
0.1b	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

746×	`*-un-lft-identity`
676×	`times-frac`
586×	`add-sqr-sqrt`
418×	`add-cube-cbrt`
378×	`prod-diff`
96×	`associate-/r/`
85×	`distribute-lft-out--`
76×	`difference-of-squares`
74×	`distribute-lft-out`
48×	`div-inv`
39×	`unpow-prod-down` `cube-prod`
27×	`swap-sqr`
25×	`flip3--` `flip--`
24×	`flip3-+` `flip-+`
22×	`add-exp-log` `add-cbrt-cube`
21×	`associate-r` `associate-l`
18×	`fma-neg`
13×	`pow1`
6×	`cbrt-undiv` `pow-unpow` `div-exp` `add-log-exp`
4×	`expm1-log1p-u` `pow-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `rem-cube-cbrt` `unswap-sqr`
2×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `unpow3` `sqr-pow`
1×	`pow2` `frac-times` `sub-neg` `pow-plus` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `frac-sub`

Counts

4 → 641

Calls

4 calls:

67.0ms	(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
8.0ms	(pow (/ x (+ x 1.0)) 3)
8.0ms	(pow (/ 1.0 (- x 1.0)) 3)
33.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
57.0ms	(pow (/ x (+ x 1.0)) 3)
48.0ms	(pow (/ 1.0 (- x 1.0)) 3)
47.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify152.0ms

Algorithm

egg-herbie

Counts

653 → 653

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1921	14052
1	5001	10438

prune1.3s

Filtered

653 candidates to 280 candidates (42.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	21
1	16	21

end0.0ms

sample268.0ms

Algorithm

intervals

Results

181.0ms

8000×

body

valid