Details

sample10.0ms

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	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: 15.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

15.0b

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

rewrite6.0ms

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` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

5.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify55.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	165	210
1	555	195
2	1839	192
3	5001	192

prune67.0ms

Filtered

32 candidates to 26 candidates (81.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	2	33

Merged error: 0b

Counts

33 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

1.9b	(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
19.0b	(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
20×	`add-cube-cbrt`
18×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
4×	`pow1` `associate-r` `associate-/r*` `associate-/r/`
3×	`associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `associate-*r/` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `difference-of-squares`

Counts

2 → 79

Calls

2 calls:

8.0ms	(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
14.0ms	(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

series237.0ms

Counts

2 → 6

Calls

2 calls:

130.0ms	(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
107.0ms	(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	427	860
1	1887	778
2	5003	745

prune194.0ms

Filtered

85 candidates to 63 candidates (74.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	85	2	87

Merged error: 0b

Counts

87 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (pow x 3))
0.4b	(/ 1 (pow x 5))
20.7b	(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

195×	`add-sqr-sqrt`
173×	`times-frac`
111×	`*-un-lft-identity`
63×	`difference-of-squares`
56×	`unpow-prod-down`
46×	`add-cube-cbrt`
40×	`sqr-pow`
26×	`cube-prod`
21×	`add-exp-log`
19×	`associate-/r*`
12×	`div-exp`
7×	`add-cbrt-cube` `distribute-lft-out--`
6×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cube-mult` `unpow3`
3×	`pow1`
2×	`cbrt-undiv` `pow-flip` `frac-2neg` `clear-num` `inv-pow`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--`

Counts

3 → 209

Calls

3 calls:

6.0ms	(/ 1 (pow x 3))
5.0ms	(/ 1 (pow x 5))
47.0ms	(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

series179.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ 1 (pow x 3))
49.0ms	(/ 1 (pow x 5))
98.0ms	(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

simplify63.0ms

Algorithm

egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	546	1643
1	2035	1390
2	5001	1390

prune270.0ms

Filtered

218 candidates to 76 candidates (34.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	218	2	220

Merged error: 0b

Counts

220 → 2

regimes20.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 23.9b

bsearch76.0ms

Steps

Iters	Range		Point
9	0.09117784756913819	2697524.489058797	423.5143332110102
10	-1421.6155834850151	-1.485944467815708e-07	-849.9625878312869

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	16
1	40	16

end0.0ms

sample230.0ms

Algorithm

intervals

Results

144.0ms

8000×

body

valid