Details

sample55.0ms

Algorithm

intervals

Results

26.0ms	67×	body	10240	exit
10.0ms	271×	body	80	valid
3.0ms	6×	body	1280	valid
3.0ms	10×	body	640	valid
1.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (exp x))
1.7b	(log (+ 1.0 (exp x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
4×	`log-prod` `add-log-exp`
3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt`
2×	`log-div` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`+-commutative` `rem-log-exp` `sum-log` `log-pow`

Counts

2 → 27

Calls

2 calls:

9.0ms	(+ 1.0 (exp x))
5.0ms	(log (+ 1.0 (exp x)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ 1.0 (exp x))
56.0ms	(log (+ 1.0 (exp x)))

simplify95.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	128	169
1	337	152
2	897	151
3	3150	150
4	5002	150

prune73.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (pow x 2))
0.0b	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
0.0b	(+ (* 1/2 (pow x 2)) (+ x 2.0))
8.8b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
10×	`add-exp-log` `add-log-exp`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
6×	`log-prod` `add-cbrt-cube`
5×	`pow1`
4×	`unpow-prod-down` `log-div` `unswap-sqr`
3×	`flip3-+` `associate-l` `prod-exp` `associate--l+` `sum-log` `flip-+`
2×	`associate--l-` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `associate-+r+` `flip3--` `diff-log` `rem-log-exp` `pow-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod`

Counts

4 → 71

Calls

4 calls:

11.0ms	(* 1/2 (pow x 2))
21.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
20.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
17.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* 1/2 (pow x 2))
70.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
15.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
49.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	371	575
1	1439	529
2	5001	520

prune201.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (exp (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))) (* x y))
0.0b	(+ (* 1/2 (pow x 2)) (+ x 2.0))
0.3b	(exp (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))))
8.8b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-log-exp`
7×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
5×	`add-exp-log`
4×	`exp-prod` `exp-sum` `add-cbrt-cube`
3×	`sum-log` `log-pow`
2×	`log-div` `flip3-+` `flip-+`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `diff-log` `rem-log-exp` `flip--` `rem-exp-log`

Counts

4 → 55

Calls

4 calls:

19.0ms	(- (exp (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))) (* x y))
18.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
6.0ms	(exp (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))))
17.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (exp (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))) (* x y))
18.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
46.0ms	(exp (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))))
49.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify135.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (128.0ms)

Iter	Nodes	Cost
0	311	617
1	1046	556
2	4638	533
3	5002	527

prune183.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.9b	(exp (* (cbrt (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))) (cbrt (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))))))
8.8b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
8.8b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
8.8b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod`
7×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`log-div` `add-log-exp`
4×	`add-cbrt-cube`
3×	`flip3-+` `rem-log-exp` `log-pow` `flip-+`
1×	`exp-prod` `exp-to-pow` `rem-exp-log`

Counts

4 → 52

Calls

4 calls:

5.0ms	(exp (* (cbrt (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))) (cbrt (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))))))
17.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
19.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
17.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series647.0ms

Counts

4 → 12

Calls

4 calls:

500.0ms	(exp (* (cbrt (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))) (cbrt (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))))))
50.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
47.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
50.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	527	1101
1	2140	983
2	5001	980

prune307.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

regimes90.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample1.7s

Algorithm

intervals

Results

928.0ms	2361×	body	10240	exit
314.0ms	8370×	body	80	valid
69.0ms	265×	body	640	valid
59.0ms	120×	body	1280	valid
29.0ms	185×	body	320	valid
8.0ms	89×	body	160	valid