Details

sample22.0ms

Algorithm

intervals

Results

15.0ms

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 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))

rewrite57.0ms

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))
41.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
6.0ms	(/ 1.0 (- x 1.0))

series190.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ x (+ x 1.0))
122.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
28.0ms	(/ 1.0 (- x 1.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (33.0ms)

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

prune171.0ms

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)))
0.5b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
14.3b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite52.0ms

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))
18.0ms	(+ (* (/ 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)))
23.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series309.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* x x) (* 1.0 1.0))
168.0ms	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
53.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
48.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify88.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (77.0ms)

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

prune272.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (* x (/ 1 (+ x 1.0))))
0.0b	(/ 1.0 (- x 1.0))
0.1b	(* x (/ 1 (+ x 1.0)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
47×	`add-sqr-sqrt`
41×	`times-frac`
32×	`add-cube-cbrt`
19×	`add-exp-log`
18×	`associate-r`
13×	`add-cbrt-cube`
9×	`associate-/r*`
7×	`pow1` `distribute-lft-out`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`div-exp`
4×	`prod-exp` `distribute-lft-out--` `difference-of-squares`
3×	`cbrt-undiv` `flip3-+` `associate-l` `flip-+` `div-inv` `unswap-sqr`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-*r/` `frac-add` `clear-num` `un-div-inv` `cbrt-unprod`
1×	`+-commutative` `flip3--` `pow-flip` `pow-prod-down` `sum-log` `*-commutative` `flip--` `inv-pow`

Counts

4 → 128

Calls

4 calls:

6.0ms	(/ 1 (+ x 1.0))
25.0ms	(+ (/ 1.0 (- x 1.0)) (* x (/ 1 (+ x 1.0))))
5.0ms	(/ 1.0 (- x 1.0))
16.0ms	(* x (/ 1 (+ x 1.0)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ 1 (+ x 1.0))
121.0ms	(+ (/ 1.0 (- x 1.0)) (* x (/ 1 (+ x 1.0))))
32.0ms	(/ 1.0 (- x 1.0))
34.0ms	(* x (/ 1 (+ x 1.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	507	748
1	2155	676
2	5002	638

prune372.0ms

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

sample502.0ms

Algorithm

intervals

Results

408.0ms

8000×

body

valid