Details

sample43.0ms

Algorithm

intervals

Results

17.0ms	107×	body	1280	valid
7.0ms	71×	body	640	valid
4.0ms	390×	pre	80	true
3.0ms	41×	body	320	valid
2.0ms	142×	body	80	valid
1.0ms	29×	body	160	valid

simplify4.0ms

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 (100.0%)

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: 58.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

8.0b	(- (exp x) 1.0)

rewrite4.0ms

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:

4.0ms

(- (exp x) 1.0)

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(- (exp x) 1.0)

simplify53.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (6.0ms)

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

prune34.0ms

Filtered

17 candidates to 12 candidates (29.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	4	18

Merged error: 0.1b

Counts

18 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

4.0ms	(+ (* x 1/6) 1/2)
7.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms	(* x 1/6)

series11.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+ (* x 1/6) 1/2)
6.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
2.0ms	(* x 1/6)

simplify44.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	268	291
1	1284	262
2	5001	262

prune78.0ms

Filtered

69 candidates to 45 candidates (34.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	69	4	73

Merged error: 0.1b

Counts

73 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp x) 1.0))
8.0b	(- (exp x) 1.0)
8.0b	(- (exp x) 1.0)
8.0b	(- (exp x) 1.0)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
5×	`cbrt-prod` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

3.0ms	(cbrt (- (exp x) 1.0))
4.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)

series23.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt (- (exp x) 1.0))
2.0ms	(- (exp x) 1.0)
2.0ms	(- (exp x) 1.0)
2.0ms	(- (exp x) 1.0)

simplify193.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	139	345
1	329	311
2	990	297
3	4941	289
4	5001	289

prune103.0ms

Filtered

69 candidates to 50 candidates (27.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	69	4	73

Merged error: 0.0b

Counts

73 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0))))
8.0b	(- (exp x) 1.0)
8.0b	(- (exp x) 1.0)
8.0b	(- (sqrt (exp x)) (sqrt 1.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`cbrt-div`
6×	`flip3--` `sqrt-prod` `flip--` `difference-of-squares`
4×	`pow1` `add-exp-log` `frac-times` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out--`
3×	`sub-neg` `flip3-+` `diff-log` `flip-+`
2×	`associate-r/` `associate-l/`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 63

Calls

4 calls:

12.0ms	(cbrt (* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0))))
4.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)
6.0ms	(- (sqrt (exp x)) (sqrt 1.0))

series42.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(cbrt (* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0))))
4.0ms	(- (exp x) 1.0)
2.0ms	(- (exp x) 1.0)
5.0ms	(- (sqrt (exp x)) (sqrt 1.0))

simplify116.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	304	698
1	1138	636
2	4742	621
3	5003	614

prune148.0ms

Filtered

75 candidates to 55 candidates (26.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	73	6	79

Merged error: 0.0b

Counts

79 → 6

regimes166.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

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

537.0ms	3427×	body	1280	valid
236.0ms	2453×	body	640	valid
114.0ms	12050×	pre	80	true
74.0ms	1248×	body	320	valid
58.0ms	4238×	body	80	valid
26.0ms	684×	body	160	valid

Details

sample43.0ms

simplify4.0ms

prune2.0ms

localize3.0ms

rewrite4.0ms

series2.0ms

simplify53.0ms

prune34.0ms

localize7.0ms

rewrite16.0ms

series11.0ms

simplify44.0ms

prune78.0ms

localize9.0ms

rewrite16.0ms

series23.0ms

simplify193.0ms

prune103.0ms

localize13.0ms

rewrite27.0ms

series42.0ms

simplify116.0ms

prune148.0ms

regimes166.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

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