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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite95.0ms

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:

11.0ms	(/ x (+ x 1.0))
10.0ms	(/ 1.0 (- x 1.0))
69.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series160.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ x (+ x 1.0))
24.0ms	(/ 1.0 (- x 1.0))
107.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (36.0ms)

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

prune228.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

153×	`*-un-lft-identity`
70×	`times-frac`
43×	`add-sqr-sqrt`
35×	`distribute-lft-out`
29×	`add-cube-cbrt`
22×	`cbrt-prod`
21×	`fma-def`
17×	`distribute-lft-out--`
16×	`unpow-prod-down` `cube-prod`
7×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`cube-div` `add-log-exp`
5×	`pow1` `associate-/r*`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u`
3×	`pow-unpow` `cbrt-div` `flip3-+` `frac-add` `flip-+` `associate-/l*`
2×	`cube-mult` `flip3--` `unpow3` `flip--` `div-inv` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 153

Calls

4 calls:

104.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
11.0ms	(/ 1.0 (- x 1.0))
100.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
73.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series409.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
27.0ms	(/ 1.0 (- x 1.0))
118.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
107.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify62.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	487	1047
1	2059	1000
2	5002	992

prune320.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

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

rewrite231.0ms

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:

94.0ms	(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
14.0ms	(pow (/ x (+ x 1.0)) 3)
52.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
18.0ms	(pow (/ 1.0 (- x 1.0)) 3)

series216.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
51.0ms	(pow (/ x (+ x 1.0)) 3)
34.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
51.0ms	(pow (/ 1.0 (- x 1.0)) 3)

simplify144.0ms

Algorithm

egg-herbie

Counts

653 → 653

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1921	14052
1	5002	10438

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms

sample292.0ms

Algorithm

intervals

Results

176.0ms

8000×

body

valid