Details

sample62.0ms

Algorithm

intervals

Results

35.0ms	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

localize3.0ms

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×	`expm1-log1p-u` `flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

2.0ms

(log (+ 1.0 x))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(log (+ 1.0 x))

simplify41.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	131	99
1	363	89
2	1292	86
3	5002	81

prune46.0ms

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)))

rewrite33.0ms

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` `expm1-log1p-u` `associate-r/` `pow-prod-down` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 112

Calls

1 calls:

27.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify55.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	535	648
1	2311	536
2	5001	535

prune264.0ms

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)))))

rewrite37.0ms

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×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u`
1×	`cbrt-undiv` `exp-prod` `exp-to-pow` `associate-r/` `rem-log-exp` `pow-prod-down` `-commutative` `div-inv`

Counts

2 → 128

Calls

2 calls:

26.0ms	(* 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:

55.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
50.0ms	(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify59.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	555	757
1	2338	630
2	5001	629

prune344.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

localize19.0ms

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)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
24×	`log-prod`
18×	`pow1` `add-sqr-sqrt`
16×	`add-cube-cbrt` `prod-diff`
15×	`log-pow`
10×	`distribute-lft-out`
9×	`associate--l+`
8×	`unpow-prod-down` `log-div` `cube-prod`
5×	`add-exp-log`
4×	`flip3-+` `fma-neg` `flip-+` `distribute-lft-out--`
3×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 93

Calls

3 calls:

23.0ms	(- (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)))

series479.0ms

Counts

3 → 9

Calls

3 calls:

141.0ms	(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
69.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
269.0ms	(log (+ (pow 1.0 3) (pow x 3)))

simplify63.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	469	1647
1	1771	1261
2	5001	1257

prune242.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes85.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 21.4b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	20
1	27	20

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	2227×	body	1280	valid
358.0ms	1637×	body	640	valid
94.0ms	855×	body	320	valid
66.0ms	2848×	body	80	valid
40.0ms	2785×	body	80	nan
27.0ms	433×	body	160	valid