Details

sample9.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

prune1.0ms

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: 12.8b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

12.8b

(/ x (+ (* x x) 1.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

5.0ms

(/ x (+ (* x x) 1.0))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(/ x (+ (* x x) 1.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	171	215
1	589	196
2	1979	191
3	5002	186

prune63.0ms

Filtered

34 candidates to 29 candidates (85.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	2	35

Merged error: 0b

Counts

35 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

2.8b	(/ x (fma (- 1.0) 1.0 (pow x 4)))
17.5b	(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `associate-r`
3×	`associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `sub-neg` `flip3--` `associate-*r/` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `difference-of-squares`

Counts

2 → 78

Calls

2 calls:

3.0ms	(/ x (fma (- 1.0) 1.0 (pow x 4)))
10.0ms	(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

series279.0ms

Counts

2 → 6

Calls

2 calls:

161.0ms	(/ x (fma (- 1.0) 1.0 (pow x 4)))
118.0ms	(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	446	816
1	2125	716
2	5001	706

prune156.0ms

Filtered

84 candidates to 62 candidates (73.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

86 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
0.1b	(/ 1.0 (pow x 3))
0.3b	(/ 1.0 (pow x 5))
20.4b	(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

rewrite486.0ms

Algorithm

rewrite-expression-head

Rules

3607×	`times-frac`
2350×	`add-sqr-sqrt`
2310×	`*-un-lft-identity`
2288×	`add-cube-cbrt`
2000×	`prod-diff`
1212×	`unpow-prod-down`
1002×	`associate-+r+`
466×	`cube-prod`
410×	`sqr-pow`
154×	`cube-mult` `unpow3`
138×	`div-inv`
25×	`fma-neg`
20×	`difference-of-squares`
19×	`associate-/r*`
14×	`add-exp-log`
13×	`fma-def`
11×	`add-log-exp`
8×	`add-cbrt-cube` `distribute-lft-out--`
6×	`div-exp` `associate-/l*`
5×	`distribute-lft-out`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-add`
2×	`cbrt-undiv` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `diff-log` `pow-exp` `clear-num` `sum-log` `frac-sub` `flip--`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip-+`

Counts

4 → 2217

Calls

4 calls:

143.0ms	(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
5.0ms	(/ 1.0 (pow x 3))
5.0ms	(/ 1.0 (pow x 5))
72.0ms	(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
35.0ms	(/ 1.0 (pow x 3))
52.0ms	(/ 1.0 (pow x 5))
127.0ms	(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

simplify497.0ms

Algorithm

egg-herbie

Counts

2229 → 2229

Iterations

Useful iterations: 1 (64.0ms)

Iter	Nodes	Cost
0	4090	48855
1	5002	42336

prune3.7s

Filtered

2229 candidates to 903 candidates (40.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	2229	0	2229
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	2229	2	2231

Merged error: 0b

Counts

2231 → 2

regimes22.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 23.6b

bsearch54.0ms

Steps

Iters	Range		Point
9	860.9547529914067	28642596122.821114	63975.223603020975
7	-937727910791.0848	-43540924890.08803	-699437249843.6556

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	14
1	33	14

end0.0ms

sample219.0ms

Algorithm

intervals

Results

133.0ms

8000×

body

valid