Details

sample15.0ms

Algorithm

intervals

Results

9.0ms

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

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 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)))

rewrite37.0ms

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:

5.0ms	(/ x (+ x 1.0))
5.0ms	(/ 1.0 (- x 1.0))
23.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series186.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ x (+ x 1.0))
27.0ms	(/ 1.0 (- x 1.0))
120.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (36.0ms)

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

prune187.0ms

Filtered

123 candidates to 94 candidates (76.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	122	2	124

Merged error: 0b

Counts

124 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

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	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
5.0ms	(/ 1.0 (- x 1.0))
26.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
25.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

series479.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
28.0ms	(/ 1.0 (- x 1.0))
126.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
181.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

simplify63.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (48.0ms)

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

prune252.0ms

Filtered

165 candidates to 104 candidates (63.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

167 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.0b	(fma 1.0 (+ x 1.0) (* (- x 1.0) x))
0.0b	(* (- x 1.0) x)
14.6b	(/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
12×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `add-log-exp` `difference-of-squares`
5×	`associate-l`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
3×	`flip3--` `associate-r` `flip--` `associate-/l*`
2×	`associate-*l/` `associate-/r/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

4.0ms	(- (* x x) (* 1.0 1.0))
1.0ms	(fma 1.0 (+ x 1.0) (* (- x 1.0) x))
6.0ms	(* (- x 1.0) x)
5.0ms	(/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))

series273.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* x x) (* 1.0 1.0))
88.0ms	(fma 1.0 (+ x 1.0) (* (- x 1.0) x))
46.0ms	(* (- x 1.0) x)
99.0ms	(/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	317	741
1	1210	669
2	5002	668

prune170.0ms

Filtered

98 candidates to 77 candidates (78.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	2	100

Merged error: 0b

Counts

100 → 2

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

sample324.0ms

Algorithm

intervals

Results

231.0ms

8000×

body

valid