Details

sample55.0ms

Algorithm

intervals

Results

28.0ms	64×	body	1280	valid
11.0ms	48×	body	640	valid
3.0ms	27×	body	320	valid
2.0ms	95×	body	80	valid
1.0ms	22×	body	160	valid
1.0ms	97×	body	80	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.5b

localize9.0ms

Local error

Found 1 expressions with local error:

4.9b	(log (+ 1.0 x))

rewrite5.0ms

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:

5.0ms

(log (+ 1.0 x))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(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

prune52.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

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)))))

rewrite46.0ms

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:

40.0ms	(* 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)))))

series91.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
39.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (48.0ms)

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

prune354.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
2.1b	(log (- (* 1.0 1.0) (* x x)))
4.9b	(log (- 1.0 x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`pow1` `log-prod`
16×	`add-cube-cbrt` `prod-diff`
15×	`log-pow`
8×	`log-div`
6×	`distribute-lft-out--`
5×	`add-exp-log` `flip3--` `flip--` `associate--r+` `difference-of-squares`
4×	`fma-neg` `associate--l+`
3×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`associate--l-` `rem-log-exp` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 87

Calls

3 calls:

18.0ms	(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
9.0ms	(log (- (* 1.0 1.0) (* x x)))
6.0ms	(log (- 1.0 x))

series254.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
104.0ms	(log (- (* 1.0 1.0) (* x x)))
43.0ms	(log (- 1.0 x))

simplify48.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	428	1017
1	1446	728
2	5002	636

prune271.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

2.1b	(log (- (* 1.0 1.0) (* x x)))
4.9b	(log (- 1.0 x))
4.9b	(log (- 1.0 x))
4.9b	(log (- 1.0 x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

19×	`log-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `log-div`
4×	`expm1-log1p-u` `flip3--` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`distribute-lft-out--`

Counts

4 → 71

Calls

4 calls:

9.0ms	(log (- (* 1.0 1.0) (* x x)))
6.0ms	(log (- 1.0 x))
6.0ms	(log (- 1.0 x))
6.0ms	(log (- 1.0 x))

series227.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(log (- (* 1.0 1.0) (* x x)))
44.0ms	(log (- 1.0 x))
38.0ms	(log (- 1.0 x))
43.0ms	(log (- 1.0 x))

simplify108.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	269	489
1	897	439
2	3424	429
3	5001	429

prune444.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes91.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 21.5b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s	2229×	body	1280	valid
367.0ms	1701×	body	640	valid
100.0ms	889×	body	320	valid
67.0ms	2785×	body	80	valid
41.0ms	2791×	body	80	nan
28.0ms	396×	body	160	valid