Details

sample13.0ms

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

rewrite55.0ms

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:

5.0ms	(/ x (+ x 1.0))
42.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))

series186.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ x (+ x 1.0))
124.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
28.0ms	(/ 1.0 (- x 1.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (34.0ms)

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

prune173.0ms

Filtered

96 candidates to 70 candidates (72.9%)

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	(+ (cbrt (pow (/ 1.0 (- x 1.0)) 3)) (/ x (+ x 1.0)))
0.0b	(/ 1.0 (- x 1.0))
0.2b	(pow (/ 1.0 (- x 1.0)) 3)
21.8b	(cbrt (pow (/ 1.0 (- x 1.0)) 3))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
84×	`add-sqr-sqrt`
75×	`times-frac`
52×	`add-cube-cbrt`
48×	`cbrt-prod`
42×	`unpow-prod-down` `cube-prod`
16×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`pow1` `flip3--` `associate-/r*` `flip--` `div-inv`
3×	`cube-div` `pow-unpow` `associate-/l*`
2×	`cbrt-undiv` `cube-mult` `cbrt-div` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `frac-add` `clear-num` `sum-log` `rem-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

4 → 170

Calls

4 calls:

105.0ms	(+ (cbrt (pow (/ 1.0 (- x 1.0)) 3)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))
8.0ms	(pow (/ 1.0 (- x 1.0)) 3)
9.0ms	(cbrt (pow (/ 1.0 (- x 1.0)) 3))

series231.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(+ (cbrt (pow (/ 1.0 (- x 1.0)) 3)) (/ x (+ x 1.0)))
28.0ms	(/ 1.0 (- x 1.0))
50.0ms	(pow (/ 1.0 (- x 1.0)) 3)
29.0ms	(cbrt (pow (/ 1.0 (- x 1.0)) 3))

simplify79.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	633	1215
1	2911	1096
2	5001	1086

prune304.0ms

Filtered

182 candidates to 98 candidates (53.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
0.0b	(* (- x 1.0) x)
0.0b	(* (- x 1.0) (+ x 1.0))
17.8b	(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`associate-*l/`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `associate-*r/` `flip-+`
11×	`flip3--` `flip--`
10×	`add-cube-cbrt` `associate-l`
8×	`pow1` `frac-times` `frac-add` `associate-/r/`
7×	`associate-r`
6×	`associate-/l/` `add-log-exp`
3×	`times-frac` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `div-exp` `pow-prod-down` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `clear-num` `associate-/r*` `sum-log` `div-inv` `distribute-lft-out`

Counts

4 → 105

Calls

4 calls:

6.0ms	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
13.0ms	(* (- x 1.0) x)
16.0ms	(* (- x 1.0) (+ x 1.0))
21.0ms	(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
39.0ms	(* (- x 1.0) x)
78.0ms	(* (- x 1.0) (+ x 1.0))
91.0ms	(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

simplify85.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	566	963
1	3047	860
2	5003	859

prune263.0ms

Filtered

117 candidates to 89 candidates (76.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

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

sample290.0ms

Algorithm

intervals

Results

193.0ms

8000×

body

valid