Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

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: 13.8b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

13.8b

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
15×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`distribute-lft-out`
5×	`associate-/r*`
4×	`associate-l`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 37

Calls

1 calls:

10.0ms

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

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

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

simplify66.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	162	240
1	534	225
2	1789	222
3	5001	220

prune48.0ms

Filtered

40 candidates to 26 candidates (65.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	2	41

Merged error: 0b

Counts

41 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ 1 (+ (* x x) 1.0))
13.0b	(* x (/ 1 (+ (* x x) 1.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
21×	`associate-r`
16×	`distribute-lft-out`
15×	`add-exp-log`
11×	`associate-r/` `associate-l*`
10×	`associate-/r*`
9×	`add-cbrt-cube`
7×	`associate-/l*`
5×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`clear-num` `un-div-inv` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `frac-2neg` `flip3-+` `1-exp` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

2 → 97

Calls

2 calls:

10.0ms	(/ 1 (+ (* x x) 1.0))
17.0ms	(* x (/ 1 (+ (* x x) 1.0)))

series108.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ 1 (+ (* x x) 1.0))
62.0ms	(* x (/ 1 (+ (* x x) 1.0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	320	533
1	1437	463
2	5002	407

prune89.0ms

Filtered

103 candidates to 54 candidates (52.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	103	2	105

Merged error: 0b

Counts

105 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ 1 (pow x 5))
0.3b	(/ 1.0 (pow x 3))
20.4b	(- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5))))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

241×	`associate-/r*`
239×	`add-sqr-sqrt`
224×	`frac-sub`
182×	`associate-*r/`
157×	`*-un-lft-identity`
130×	`unpow-prod-down`
127×	`add-cube-cbrt`
110×	`associate-/l*`
93×	`times-frac`
54×	`sqr-pow`
46×	`clear-num`
42×	`un-div-inv`
32×	`frac-2neg` `difference-of-squares`
28×	`unswap-sqr`
20×	`unpow3`
17×	`add-exp-log`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-flip`
5×	`pow1` `add-log-exp`
4×	`pow-to-exp` `pow-exp`
3×	`rec-exp` `pow-unpow` `1-exp` `div-inv` `distribute-lft-out--`
2×	`cbrt-undiv`
1×	`sub-neg` `flip3--` `pow-pow` `diff-log` `associate-l` `flip--` `inv-pow`

Counts

3 → 378

Calls

3 calls:

5.0ms	(/ 1 (pow x 5))
5.0ms	(/ 1.0 (pow x 3))
67.0ms	(- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5))))

series224.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ 1 (pow x 5))
42.0ms	(/ 1.0 (pow x 3))
132.0ms	(- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5))))

simplify98.0ms

Algorithm

egg-herbie

Counts

387 → 387

Iterations

Useful iterations: 1 (51.0ms)

Iter	Nodes	Cost
0	2197	4321
1	5001	3817

prune412.0ms

Filtered

387 candidates to 151 candidates (39.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	387	0	387
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	387	2	389

Merged error: 0b

Counts

389 → 2

regimes20.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.3b

bsearch61.0ms

Steps

Iters	Range		Point
10	1.0482644148039984e-06	3857898261607.3584	458.0651429950271
7	-5.001954329178871e+47	-2.6517802389952764e+46	-7.41750500238859e+46

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	12
1	31	12

end0.0ms

sample234.0ms

Algorithm

intervals

Results

144.0ms

8000×

body

valid