Details

sample62.0ms

Algorithm

intervals

Results

35.0ms	72×	body	1280	valid
13.0ms	64×	body	640	valid
3.0ms	29×	body	320	valid
2.0ms	78×	body	80	valid
1.0ms	96×	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: 42.1b

localize4.0ms

Local error

Found 1 expressions with local error:

4.2b	(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))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(log (+ 1.0 x))

simplify42.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (39.0ms)

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

prune49.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
70×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
36×	`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`
4×	`pow1`
3×	`associate-l`
2×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `fma-udef` `div-inv`

Counts

2 → 122

Calls

2 calls:

29.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series98.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
43.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	560	763
1	2406	633
2	5001	632

prune302.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
2.2b	(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

rewrite33.0ms

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:

25.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
1.0ms	(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series108.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
54.0ms	(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify60.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	555	827
1	2770	630
2	5002	629

prune352.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
4.3b	(log (sqrt (+ 1.0 x)))
4.3b	(log (sqrt (+ 1.0 x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `sqrt-prod`
14×	`log-prod`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`expm1-log1p-u` `log-div` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp` `hypot-def`

Counts

4 → 82

Calls

4 calls:

4.0ms	(sqrt (+ 1.0 x))
7.0ms	(sqrt (+ 1.0 x))
3.0ms	(log (sqrt (+ 1.0 x)))
3.0ms	(log (sqrt (+ 1.0 x)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(sqrt (+ 1.0 x))
30.0ms	(sqrt (+ 1.0 x))
86.0ms	(log (sqrt (+ 1.0 x)))
88.0ms	(log (sqrt (+ 1.0 x)))

simplify64.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	187	510
1	521	462
2	1993	440
3	5002	428

prune199.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

regimes56.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 22.3b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms

sample1.7s

Algorithm

intervals

Results

993.0ms	2284×	body	1280	valid
326.0ms	1594×	body	640	valid
83.0ms	811×	body	320	valid
59.0ms	2889×	body	80	valid
36.0ms	2652×	body	80	nan
28.0ms	422×	body	160	valid