Details

sample48.0ms

Algorithm

intervals

Results

20.0ms	117×	body	1280	valid
8.0ms	78×	body	640	valid
5.0ms	372×	pre	80	true
2.0ms	33×	body	320	valid
2.0ms	123×	body	80	valid
1.0ms	21×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	7	2
2	7	2

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: 58.6b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

6.2b	(- (exp x) 1.0)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

5.0ms

(- (exp x) 1.0)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify58.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	81	72
1	185	67
2	499	66
3	1399	66
4	5002	66

prune42.0ms

Filtered

17 candidates to 12 candidates (70.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	2	18

Merged error: 0.0b

Counts

18 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 1/6) 1/2)
0.0b	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
11×	`add-exp-log` `associate-l`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube` `add-log-exp`
6×	`pow1` `associate-r`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-r/` `sum-log` `-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-prod-down` `pow-exp`

Counts

4 → 73

Calls

4 calls:

4.0ms	(+ (* x 1/6) 1/2)
9.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
8.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms	(* x 1/6)

series144.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* x 1/6) 1/2)
32.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
66.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
14.0ms	(* x 1/6)

simplify58.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	331	408
1	1671	374
2	5001	373

prune125.0ms

Filtered

85 candidates to 57 candidates (67.1%)

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: 0.0b

Counts

87 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt (exp x)) (sqrt 1.0))
0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
6.0b	(- (sqrt (exp x)) (sqrt 1.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`sqrt-prod`
8×	`add-cube-cbrt` `sqrt-pow1` `add-log-exp`
6×	`pow1` `exp-prod`
4×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
2×	`rem-sqrt-square` `pow1/2` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `diff-log` `sum-log` `flip--` `flip-+`

Counts

4 → 63

Calls

4 calls:

6.0ms	(+ (sqrt (exp x)) (sqrt 1.0))
2.0ms	(sqrt (exp x))
2.0ms	(sqrt (exp x))
7.0ms	(- (sqrt (exp x)) (sqrt 1.0))

series96.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (sqrt (exp x)) (sqrt 1.0))
11.0ms	(sqrt (exp x))
17.0ms	(sqrt (exp x))
37.0ms	(- (sqrt (exp x)) (sqrt 1.0))

simplify73.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	139	356
1	309	338
2	736	336
3	2060	334
4	5001	334

prune142.0ms

Filtered

75 candidates to 53 candidates (70.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	75	2	77

Merged error: 0.0b

Counts

77 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(/ (+ (pow (sqrt (exp x)) 3) (pow (sqrt 1.0) 3)) (- (+ (exp x) 1.0) (* (sqrt (exp x)) (sqrt 1.0))))
0.0b	(pow (sqrt (exp x)) 3)
6.0b	(- (sqrt (exp x)) (sqrt 1.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

106×	`*-un-lft-identity`
47×	`sqrt-prod`
39×	`add-sqr-sqrt` `times-frac`
38×	`unpow-prod-down` `cube-prod`
36×	`distribute-lft-out`
30×	`add-cube-cbrt`
13×	`associate-/l*`
8×	`sqrt-pow1`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`exp-prod` `pow-pow` `add-log-exp`
4×	`sum-cubes` `difference-of-squares`
3×	`pow-unpow` `associate-/r*`
2×	`flip3--` `pow1/2` `associate-/r/` `flip--` `associate-/l/` `distribute-lft-out--`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `sub-neg` `rem-sqrt-square` `frac-2neg` `flip3-+` `diff-log` `unpow3` `div-exp` `pow-exp` `clear-num` `sqrt-pow2` `flip-+` `div-inv` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 140

Calls

4 calls:

2.0ms	(sqrt (exp x))
33.0ms	(/ (+ (pow (sqrt (exp x)) 3) (pow (sqrt 1.0) 3)) (- (+ (exp x) 1.0) (* (sqrt (exp x)) (sqrt 1.0))))
4.0ms	(pow (sqrt (exp x)) 3)
7.0ms	(- (sqrt (exp x)) (sqrt 1.0))

series505.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp x))
419.0ms	(/ (+ (pow (sqrt (exp x)) 3) (pow (sqrt 1.0) 3)) (- (+ (exp x) 1.0) (* (sqrt (exp x)) (sqrt 1.0))))
36.0ms	(pow (sqrt (exp x)) 3)
38.0ms	(- (sqrt (exp x)) (sqrt 1.0))

simplify92.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	593	2108
1	3023	1976
2	5002	1966

prune299.0ms

Filtered

152 candidates to 79 candidates (52.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	151	3	154

Merged error: 0.0b

Counts

154 → 3

regimes51.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample1.3s

Algorithm

intervals

Results

556.0ms	3460×	body	1280	valid
250.0ms	2492×	body	640	valid
131.0ms	11889×	pre	80	true
79.0ms	1246×	body	320	valid
64.0ms	4091×	body	80	valid
25.0ms	600×	body	160	valid

Details

sample48.0ms

simplify5.0ms

prune2.0ms

localize3.0ms

rewrite5.0ms

series15.0ms

simplify58.0ms

prune42.0ms

localize7.0ms

rewrite26.0ms

series144.0ms

simplify58.0ms

prune125.0ms

localize7.0ms

rewrite19.0ms

series96.0ms

simplify73.0ms

prune142.0ms

localize15.0ms

rewrite52.0ms

series505.0ms

simplify92.0ms

prune299.0ms

regimes51.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

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