Details

sample26.0ms

Algorithm

intervals

Results

10.0ms	291×	body	80	valid
4.0ms	119×	body	80	overflowed
1.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.0b	(+ 1.0 (exp x))
0.0b	(log (+ 1.0 (exp x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

6.0ms	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(+ 1.0 (exp x))
3.0ms	(log (+ 1.0 (exp x)))

series130.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (log (+ 1.0 (exp x))) (* x y))
14.0ms	(+ 1.0 (exp x))
60.0ms	(log (+ 1.0 (exp x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	236	404
1	702	369
2	2284	367
3	5002	340

prune168.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.3b	(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.2b	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
4.3b	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
12×	`log-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`pow1` `unpow-prod-down` `cube-prod`
6×	`add-exp-log` `add-log-exp`
5×	`add-cbrt-cube` `distribute-lft-out`
4×	`expm1-log1p-u` `log-div` `pow-pow` `log1p-expm1-u`
3×	`pow-unpow` `exp-prod`
2×	`flip3-+` `rem-log-exp` `log-pow` `flip-+`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `distribute-rgt-out--` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-exp` `sum-cubes` `flip--` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

4.0ms	(pow (exp x) 3)
13.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
7.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
19.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

series278.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(pow (exp x) 3)
96.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
44.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
106.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

simplify71.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	398	699
1	1683	631
2	5001	622

prune316.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))
0.8b	(log (sqrt (+ 1.0 (exp x))))
0.8b	(log (sqrt (+ 1.0 (exp x))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod` `*-un-lft-identity`
16×	`sqrt-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt` `associate-+r+`
13×	`pow1` `log-pow`
9×	`fma-def`
8×	`add-log-exp`
7×	`associate-+l+` `associate--l+` `distribute-lft-out`
6×	`add-exp-log` `log-div` `sqrt-div` `prod-diff`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `log1p-expm1-u`
3×	`sum-log`
2×	`+-commutative` `associate-+l-` `rem-log-exp`
1×	`associate-+r-` `sub-neg` `diff-log`

Counts

4 → 108

Calls

4 calls:

3.0ms	(+ 1.0 (exp x))
20.0ms	(+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))
3.0ms	(log (sqrt (+ 1.0 (exp x))))
4.0ms	(log (sqrt (+ 1.0 (exp x))))

series369.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ 1.0 (exp x))
145.0ms	(+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))
102.0ms	(log (sqrt (+ 1.0 (exp x))))
107.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify115.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 3 (106.0ms)

Iter	Nodes	Cost
0	329	970
1	1019	872
2	3881	810
3	5001	783

prune332.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.1b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	16
1	20	16

end0.0ms

sample668.0ms

Algorithm

intervals

Results

333.0ms	9171×	body	80	valid
109.0ms	3314×	body	80	overflowed
8.0ms	14×	body	1280	valid
2.0ms	10×	body	320	valid
1.0ms	3×	body	640	valid
0.0ms	3×	body	160	valid