Details

sample42.0ms

Algorithm

intervals

Results

15.0ms	95×	body	1280	valid
8.0ms	83×	body	640	valid
4.0ms	386×	pre	80	true
3.0ms	52×	body	320	valid
2.0ms	133×	body	80	valid
1.0ms	23×	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: 58.4b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

5.5b	(- (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)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify54.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (7.0ms)

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

prune40.0ms

Filtered

17 candidates to 12 candidates (70.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	4	18

Merged error: 0.0b

Counts

18 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.4b	(* x 1/6)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

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

series81.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
14.0ms	(* x 1/6)

simplify42.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	247	238
1	1168	215
2	5001	215

prune73.0ms

Filtered

55 candidates to 35 candidates (63.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	55	4	59

Merged error: 0.0b

Counts

59 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
0.0b	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
0.0b	(pow (exp x) 3)
5.3b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

158×	`add-sqr-sqrt`
88×	`*-un-lft-identity`
80×	`difference-of-squares`
75×	`times-frac`
63×	`unpow-prod-down` `cube-prod`
41×	`sqr-pow`
38×	`add-cube-cbrt`
25×	`associate-/l*` `distribute-lft-out--`
8×	`add-log-exp`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `difference-cubes`
4×	`pow-pow`
3×	`pow-unpow` `exp-prod` `associate-/r*`
2×	`associate-+l+` `flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `sum-log` `div-inv` `rem-cube-cbrt`

Counts

4 → 193

Calls

4 calls:

9.0ms	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
24.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
3.0ms	(pow (exp x) 3)
15.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series186.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
92.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
23.0ms	(pow (exp x) 3)
40.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify102.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	596	3033
1	2606	2958
2	5001	2879

prune348.0ms

Filtered

205 candidates to 110 candidates (53.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	204	1	205
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	206	3	209

Merged error: 0b

Counts

209 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (sqrt (pow (exp x) 3)) (pow (sqrt 1.0) 3)) (/ (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) (- (sqrt (pow (exp x) 3)) (pow (sqrt 1.0) 3))))
0.0b	(pow (exp x) 3)
0.0b	(pow (exp x) 3)
5.4b	(- (sqrt (pow (exp x) 3)) (pow (sqrt 1.0) 3))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

1095×	`add-sqr-sqrt`
942×	`times-frac`
561×	`*-un-lft-identity`
544×	`sqrt-prod`
480×	`difference-of-squares`
311×	`add-cube-cbrt`
262×	`unpow-prod-down` `cube-prod`
178×	`sqr-pow`
109×	`distribute-lft-out`
108×	`associate-/r*`
16×	`distribute-lft-out--`
11×	`associate-/r/` `add-cbrt-cube`
9×	`add-exp-log`
8×	`pow-pow`
6×	`pow1` `pow-unpow` `exp-prod` `flip3--` `flip--` `div-inv` `add-log-exp`
4×	`associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`sub-neg` `frac-2neg` `flip3-+` `diff-log` `clear-num` `flip-+`

Counts

4 → 656

Calls

4 calls:

66.0ms	(/ (+ (sqrt (pow (exp x) 3)) (pow (sqrt 1.0) 3)) (/ (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) (- (sqrt (pow (exp x) 3)) (pow (sqrt 1.0) 3))))
3.0ms	(pow (exp x) 3)
4.0ms	(pow (exp x) 3)
17.0ms	(- (sqrt (pow (exp x) 3)) (pow (sqrt 1.0) 3))

series522.0ms

Counts

4 → 12

Calls

4 calls:

368.0ms	(/ (+ (sqrt (pow (exp x) 3)) (pow (sqrt 1.0) 3)) (/ (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) (- (sqrt (pow (exp x) 3)) (pow (sqrt 1.0) 3))))
23.0ms	(pow (exp x) 3)
23.0ms	(pow (exp x) 3)
107.0ms	(- (sqrt (pow (exp x) 3)) (pow (sqrt 1.0) 3))

simplify205.0ms

Algorithm

egg-herbie

Counts

668 → 668

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1188	22788
1	5001	22374

prune1.1s

Filtered

668 candidates to 234 candidates (35.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	668	0	668
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	668	3	671

Merged error: 0b

Counts

671 → 3

regimes15.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b 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

540.0ms	3426×	body	1280	valid
246.0ms	2503×	body	640	valid
126.0ms	11970×	pre	80	true
82.0ms	1293×	body	320	valid
60.0ms	4127×	body	80	valid
24.0ms	621×	body	160	valid

Details

sample42.0ms

simplify5.0ms

prune2.0ms

localize3.0ms

rewrite4.0ms

series15.0ms

simplify54.0ms

prune40.0ms

localize6.0ms

rewrite13.0ms

series81.0ms

simplify42.0ms

prune73.0ms

localize11.0ms

rewrite60.0ms

series186.0ms

simplify102.0ms

prune348.0ms

localize16.0ms

rewrite157.0ms

series522.0ms

simplify205.0ms

prune1.1s

regimes15.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

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