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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

8.0ms	(/ 1.0 (- x 1.0))
41.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series148.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify176.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	283	365
1	983	346
2	4438	342
3	5002	342

prune109.0ms

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	(- (* x x) (* 1.0 1.0))
0.0b	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
0.6b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
15.2b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`times-frac`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp` `difference-of-squares`
6×	`pow1`
5×	`flip3-+` `frac-add` `flip-+`
4×	`frac-times` `associate-r/` `associate-r` `associate-/r` `associate-/r/`
3×	`flip3--` `flip--` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `*-commutative` `distribute-lft-out`

Counts

4 → 108

Calls

4 calls:

3.0ms	(- (* x x) (* 1.0 1.0))
21.0ms	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
24.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series298.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* x x) (* 1.0 1.0))
163.0ms	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
50.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
45.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify93.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	715	1050
1	3593	971
2	5002	969

prune266.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x 1.0) (+ x 1.0))
0.0b	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
0.0b	(* (- x 1.0) x)
16.5b	(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

rewrite61.0ms

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:

17.0ms	(* (- x 1.0) (+ x 1.0))
6.0ms	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
10.0ms	(* (- x 1.0) x)
24.0ms	(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

series239.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (- x 1.0) (+ x 1.0))
32.0ms	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
43.0ms	(* (- x 1.0) x)
87.0ms	(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

simplify91.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (80.0ms)

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

prune249.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes10.0ms

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	13	9
1	13	9

end0.0ms

sample264.0ms

Algorithm

intervals

Results

178.0ms

8000×

body

valid