Details

sample57.0ms

Algorithm

intervals

Results

32.0ms	84×	body	10240	exit
10.0ms	284×	body	80	valid
1.0ms	3×	body	1280	valid
1.0ms	9×	body	320	valid
1.0ms	4×	body	640	valid
0.0ms	3×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	23	5
3	23	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.5b	(log (+ 1.0 (exp x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `add-log-exp`
3×	`pow1` `add-exp-log` `fma-def`
2×	`expm1-log1p-u` `log-div` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `rem-log-exp` `sum-log` `log-pow`

Counts

2 → 34

Calls

2 calls:

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

series64.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ 1.0 (exp x))
57.0ms	(log (+ 1.0 (exp x)))

simplify97.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 4 (94.0ms)

Iter	Nodes	Cost
0	137	181
1	364	163
2	1024	163
3	3614	161
4	5001	159

prune99.0ms

Filtered

40 candidates to 31 candidates (77.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(+ 1.0 (exp x))
1.2b	(log (sqrt (+ 1.0 (exp x))))
1.2b	(log (sqrt (+ 1.0 (exp x))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

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

series207.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ 1.0 (exp x))
7.0ms	(+ 1.0 (exp x))
95.0ms	(log (sqrt (+ 1.0 (exp x))))
97.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify42.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	165	504
1	423	460
2	1201	448
3	5002	438

prune237.0ms

Filtered

90 candidates to 68 candidates (75.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 1 expressions with local error:

7.3b	(log (fma x (fma 1/2 x 1) 2.0))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

1.0ms

(log (fma x (fma 1/2 x 1) 2.0))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(log (fma x (fma 1/2 x 1) 2.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	106	107
1	319	92
2	1272	91
3	5001	87

prune47.0ms

Filtered

17 candidates to 14 candidates (82.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (log (sqrt (- (* 1.0 1.0) (* (exp x) (exp x))))) (log (sqrt (- 1.0 (exp x)))))
1.2b	(log (sqrt (+ 1.0 (exp x))))
3.3b	(- (* 1.0 1.0) (* (exp x) (exp x)))
3.4b	(- 1.0 (exp x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

50×	`log-pow`
46×	`prod-diff`
40×	`*-un-lft-identity`
38×	`pow1`
36×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
22×	`log-prod`
16×	`sqrt-pow1` `pow1/2`
13×	`sqrt-prod`
10×	`fma-neg`
8×	`associate--r+` `distribute-lft-out--` `add-log-exp`
7×	`associate--l+`
6×	`log-div` `sqrt-div`
5×	`add-exp-log` `flip3--` `flip--` `difference-of-squares`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`sub-neg` `diff-log`
2×	`associate--l-` `associate--r-`
1×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`

Counts

4 → 149

Calls

4 calls:

16.0ms	(- (log (sqrt (- (* 1.0 1.0) (* (exp x) (exp x))))) (log (sqrt (- 1.0 (exp x)))))
4.0ms	(log (sqrt (+ 1.0 (exp x))))
4.0ms	(- (* 1.0 1.0) (* (exp x) (exp x)))
4.0ms	(- 1.0 (exp x))

series380.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(- (log (sqrt (- (* 1.0 1.0) (* (exp x) (exp x))))) (log (sqrt (- 1.0 (exp x)))))
100.0ms	(log (sqrt (+ 1.0 (exp x))))
23.0ms	(- (* 1.0 1.0) (* (exp x) (exp x)))
13.0ms	(- 1.0 (exp x))

simplify70.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	595	2457
1	1850	1684
2	5001	1664

prune484.0ms

Filtered

161 candidates to 96 candidates (59.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes33.0ms

Accuracy

0% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	2568×	body	10240	exit
305.0ms	8429×	body	80	valid
67.0ms	257×	body	640	valid
62.0ms	120×	body	1280	valid
30.0ms	187×	body	320	valid
10.0ms	106×	body	160	valid