Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
35×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `frac-add` `sum-log` `flip--`

Counts

3 → 87

Calls

3 calls:

45.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ x (+ x 1.0))
5.0ms	(/ 1.0 (- x 1.0))

series184.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
36.0ms	(/ x (+ x 1.0))
28.0ms	(/ 1.0 (- x 1.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	379	534
1	1365	507
2	5001	502

prune166.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

108×	`*-un-lft-identity`
51×	`times-frac`
34×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
25×	`distribute-lft-out`
10×	`distribute-lft-out--`
9×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`unpow-prod-down` `cube-prod`
6×	`associate-/l*` `add-log-exp`
5×	`pow1`
4×	`associate-/r/` `difference-of-squares`
3×	`cube-div` `pow-unpow` `flip3-+` `flip-+`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `frac-add` `clear-num` `div-inv`
1×	`+-commutative` `cube-mult` `pow-to-exp` `flip3--` `pow-pow` `unpow3` `pow-exp` `sum-log` `flip--` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 123

Calls

4 calls:

41.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
76.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
5.0ms	(/ x (+ x 1.0))
5.0ms	(/ 1.0 (- x 1.0))

series367.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
179.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
33.0ms	(/ x (+ x 1.0))
31.0ms	(/ 1.0 (- x 1.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	513	858
1	2260	808
2	5002	804

prune268.0ms

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	12	7
1	12	7

end0.0ms

sample275.0ms

Algorithm

intervals

Results

186.0ms

8000×

body

valid