Details

sample54.0ms

Algorithm

intervals

Results

30.0ms	68×	body	1280	valid
11.0ms	51×	body	640	valid
3.0ms	27×	body	320	valid
2.0ms	100×	body	80	valid
1.0ms	85×	body	80	nan
1.0ms	10×	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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.9b

localize3.0ms

Local error

Found 1 expressions with local error:

3.0b	(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:

3.0ms

(log (+ 1.0 x))

series41.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(log (+ 1.0 x))

simplify39.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (37.0ms)

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

prune43.0ms

Pruning

3 alts after pruning (2 fresh and 1 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)))))

rewrite31.0ms

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:

24.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
1.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series96.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
42.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify56.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (46.0ms)

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

prune278.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 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)))))
1.7b	(exp (log (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
73×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
39×	`add-cube-cbrt` `*-un-lft-identity`
26×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
8×	`add-cbrt-cube`
6×	`pow1` `pow-to-exp` `pow-exp`
4×	`exp-prod`
3×	`expm1-log1p-u` `log-prod` `associate-l` `exp-sum` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `log-pow` `-commutative` `fma-udef` `div-inv` `rem-exp-log`

Counts

3 → 139

Calls

3 calls:

21.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
1.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
2.0ms	(exp (log (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

series142.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
41.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
48.0ms	(exp (log (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

simplify58.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	591	955
1	2478	807
2	5001	788

prune356.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 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)))))
1.8b	(pow E (log (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
74×	`add-sqr-sqrt`
68×	`associate-r`
59×	`unpow-prod-down`
40×	`add-cube-cbrt` `*-un-lft-identity`
27×	`add-exp-log`
25×	`sqr-pow`
24×	`unpow2`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
8×	`pow-exp` `add-cbrt-cube`
7×	`pow1` `pow-to-exp`
4×	`pow-unpow`
3×	`unpow-prod-up` `expm1-log1p-u` `log-prod` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `e-exp-1` `pow-pow` `associate-r/` `pow-prod-down` `log-pow` `-commutative` `fma-udef` `div-inv`

Counts

3 → 146

Calls

3 calls:

21.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
1.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
3.0ms	(pow E (log (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

series314.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
49.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
214.0ms	(pow E (log (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

simplify84.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	758	1244
1	3671	1029
2	5001	1021

prune419.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

regimes61.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.9b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	2309×	body	1280	valid
352.0ms	1665×	body	640	valid
86.0ms	787×	body	320	valid
61.0ms	2855×	body	80	valid
36.0ms	2648×	body	80	nan
24.0ms	384×	body	160	valid