Details

sample17.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify6.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
38×	`times-frac`
35×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `fma-def`
9×	`distribute-lft-out--`
7×	`distribute-lft-out` `difference-of-squares`
5×	`associate-/r*`
4×	`add-exp-log` `associate-/r/` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `flip3-+` `div-exp` `frac-add` `clear-num` `sum-log` `flip-+`

Counts

2 → 79

Calls

2 calls:

23.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
6.0ms	(/ 1.0 (- x 1.0))

series161.0ms

Counts

2 → 6

Calls

2 calls:

127.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
34.0ms	(/ 1.0 (- x 1.0))

simplify174.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	300	376
1	1054	358
2	4738	354
3	5001	354

prune135.0ms

Filtered

85 candidates to 66 candidates (77.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	2	86

Merged error: 0b

Counts

86 → 2

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)))
13.8b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite43.0ms

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×	`expm1-log1p-u` `frac-times` `associate-r/` `associate-r` `associate-/r` `associate-/r/` `log1p-expm1-u`
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` `fma-def` `frac-2neg` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `clear-num` `sum-log` `*-commutative` `distribute-lft-out`

Counts

4 → 119

Calls

4 calls:

4.0ms	(- (* x x) (* 1.0 1.0))
15.0ms	(+ (* (/ 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)))
15.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series321.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* x x) (* 1.0 1.0))
175.0ms	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
54.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
46.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify95.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	756	1090
1	3823	1001
2	5001	995

prune228.0ms

Filtered

131 candidates to 109 candidates (83.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	131	2	133

Merged error: 0b

Counts

133 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

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:

24.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
6.0ms	(/ 1.0 (- x 1.0))
24.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
29.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))

series499.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
30.0ms	(/ 1.0 (- x 1.0))
200.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
144.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))

simplify70.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (50.0ms)

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

prune443.0ms

Filtered

165 candidates to 104 candidates (63.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	165	2	167

Merged error: 0b

Counts

167 → 2

regimes22.0ms

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

sample311.0ms

Algorithm

intervals

Results

221.0ms

8000×

body

valid