Details

sample59.0ms

Algorithm

intervals

Results

34.0ms	75×	body	1280	valid
11.0ms	51×	body	640	valid
2.0ms	23×	body	320	valid
2.0ms	93×	body	80	valid
1.0ms	81×	body	80	nan
1.0ms	14×	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: 38.4b

localize4.0ms

Local error

Found 1 expressions with local error:

4.9b	(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))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(log (+ 1.0 x))

simplify48.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (40.0ms)

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

prune45.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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)))))

rewrite33.0ms

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:

26.0ms	(* 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)))))

series101.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify60.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	560	832
1	2867	631
2	5002	630

prune296.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

4.9b	(log (sqrt (+ 1.0 x)))
4.9b	(log (sqrt (+ 1.0 x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

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

series165.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(log (sqrt (+ 1.0 x)))
83.0ms	(log (sqrt (+ 1.0 x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	143	314
1	362	284
2	1284	272
3	5002	264

prune108.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

4.9b	(log (+ 1.0 x))
4.9b	(log (sqrt (+ 1.0 x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

11×	`log-prod`
9×	`*-un-lft-identity`
5×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
4×	`add-exp-log` `log-div` `sqrt-prod` `log-pow`
2×	`expm1-log1p-u` `flip3-+` `sqrt-div` `rem-log-exp` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
1×	`sqrt-pow1` `pow1/2`

Counts

2 → 39

Calls

2 calls:

2.0ms	(log (+ 1.0 x))
3.0ms	(log (sqrt (+ 1.0 x)))

series127.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(log (+ 1.0 x))
85.0ms	(log (sqrt (+ 1.0 x)))

simplify73.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	216	256
1	583	231
2	2262	222
3	5001	217

prune101.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes63.0ms

Accuracy

97.7% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 22.1b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	15
1	24	15

end0.0ms

sample1.7s

Algorithm

intervals

Results

984.0ms	2207×	body	1280	valid
361.0ms	1703×	body	640	valid
86.0ms	813×	body	320	valid
61.0ms	2884×	body	80	valid
37.0ms	2823×	body	80	nan
24.0ms	393×	body	160	valid