Details

sample65.0ms

Algorithm

intervals

Results

36.0ms	80×	body	1280	valid
12.0ms	59×	body	640	valid
4.0ms	75×	body	80	valid
3.0ms	27×	body	320	valid
1.0ms	74×	body	80	nan
1.0ms	15×	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: 42.2b

localize3.0ms

Local error

Found 1 expressions with local error:

3.7b	(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

prune48.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify122.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (19.0ms)

Iter	Nodes	Cost
0	47	115
1	148	97
2	551	97
3	3494	94
4	5001	94

prune46.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
2.0b	(exp (log (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-cube-cbrt` `exp-prod` `*-un-lft-identity`
3×	`pow1` `log-prod` `exp-sum`
2×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`log-pow` `fma-udef` `rem-exp-log`

Counts

2 → 27

Calls

2 calls:

0.0ms	(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)))))))

series96.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
46.0ms	(exp (log (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

simplify134.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	81	307
1	205	271
2	642	253
3	3753	241
4	5001	241

prune91.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
2.0b	(pow E (log (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `pow-unpow`
3×	`unpow-prod-up` `add-exp-log` `unpow-prod-down` `log-prod`
2×	`expm1-log1p-u` `pow-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `log-pow` `fma-udef` `sqr-pow`

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
2.0ms	(pow E (log (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

series280.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
230.0ms	(pow E (log (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

simplify86.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	249	527
1	851	495
2	3417	449
3	5002	418

prune109.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes76.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b 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	18	10
1	18	10

end0.0ms

sample1.7s

Algorithm

intervals

Results

976.0ms	2273×	body	1280	valid
331.0ms	1601×	body	640	valid
92.0ms	902×	body	320	valid
58.0ms	2790×	body	80	valid
37.0ms	2690×	body	80	nan
26.0ms	434×	body	160	valid