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	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: 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` `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))

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify57.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (53.0ms)

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

prune67.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

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

series261.0ms

Counts

2 → 6

Calls

2 calls:

152.0ms	(/ x (fma (- 1.0) 1.0 (pow x 4)))
109.0ms	(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (52.0ms)

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

prune181.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1.0 (pow x 3))
0.4b	(/ 1.0 (pow x 5))
20.7b	(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

1855×	`times-frac`
1232×	`add-sqr-sqrt`
1178×	`*-un-lft-identity`
1170×	`add-cube-cbrt`
1000×	`prod-diff`
627×	`unpow-prod-down`
241×	`cube-prod`
215×	`sqr-pow`
79×	`cube-mult` `unpow3`
70×	`div-inv`
25×	`fma-neg`
20×	`difference-of-squares`
19×	`associate-/r*`
13×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`div-exp` `associate-/l*`
5×	`distribute-lft-out--` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--`

Counts

3 → 1179

Calls

3 calls:

6.0ms	(/ 1.0 (pow x 3))
8.0ms	(/ 1.0 (pow x 5))
67.0ms	(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

series205.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ 1.0 (pow x 3))
47.0ms	(/ 1.0 (pow x 5))
123.0ms	(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

simplify295.0ms

Algorithm

egg-herbie

Counts

1188 → 1188

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	2406	31623
1	5001	23511

prune896.0ms

Filtered

1188 candidates to 240 candidates (20.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	1188	0	1188
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	1188	2	1190

Merged error: 0b

Counts

1190 → 2

regimes21.0ms

Accuracy

100% (0.0b remaining)

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

bsearch64.0ms

Steps

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

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	14
1	33	14

end0.0ms

sample226.0ms

Algorithm

intervals

Results

138.0ms

8000×

body

valid