Details

sample60.0ms

Algorithm

intervals

Results

34.0ms	73×	body	1280	valid
12.0ms	57×	body	640	valid
3.0ms	26×	body	320	valid
2.0ms	87×	body	80	valid
1.0ms	110×	body	80	nan
1.0ms	13×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.2b

localize6.0ms

Local error

Found 1 expressions with local error:

4.0b	(log (+ 1.0 x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

2.0ms

(log (+ 1.0 x))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(log (+ 1.0 x))

simplify38.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	122	95
1	327	86
2	1161	81
3	5002	78

prune42.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
69×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
35×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log` `unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 110

Calls

1 calls:

27.0ms

(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify54.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	531	638
1	2305	526
2	5002	525

prune242.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
3.3b	(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
71×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
37×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
5×	`pow1`
3×	`log-prod` `associate-l` `log-pow` `add-log-exp`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `exp-prod` `exp-to-pow` `associate-r/` `rem-log-exp` `pow-prod-down` `-commutative` `div-inv`

Counts

2 → 124

Calls

2 calls:

27.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
1.0ms	(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series106.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
50.0ms	(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify56.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	549	737
1	2330	610
2	5001	609

prune313.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
13.7b	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
16.1b	(log (+ (pow 1.0 3) (pow x 3)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
24×	`log-prod`
10×	`distribute-lft-out`
9×	`pow1` `add-sqr-sqrt` `associate--l+`
8×	`unpow-prod-down` `log-div` `cube-prod`
7×	`add-cube-cbrt`
6×	`log-pow`
5×	`add-exp-log`
4×	`flip3-+` `flip-+` `distribute-lft-out--`
3×	`add-cbrt-cube` `associate--r+` `add-log-exp`
2×	`associate--l-` `rem-log-exp` `sum-cubes` `associate--r-`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `difference-of-squares`

Counts

3 → 67

Calls

3 calls:

25.0ms	(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
7.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
12.0ms	(log (+ (pow 1.0 3) (pow x 3)))

series472.0ms

Counts

3 → 9

Calls

3 calls:

149.0ms	(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
70.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
253.0ms	(log (+ (pow 1.0 3) (pow x 3)))

simplify46.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	389	868
1	1373	824
2	5001	789

prune203.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes82.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.3b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	23
1	36	23

end0.0ms

sample1.7s

Algorithm

intervals

Results

972.0ms	2227×	body	1280	valid
337.0ms	1637×	body	640	valid
88.0ms	855×	body	320	valid
62.0ms	2848×	body	80	valid
41.0ms	2785×	body	80	nan
26.0ms	433×	body	160	valid