Details

sample59.0ms

Algorithm

intervals

Results

25.0ms	64×	body	10240	exit
13.0ms	263×	body	80	valid
4.0ms	8×	body	1280	valid
3.0ms	11×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	2×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.1b	(log (+ 1.0 (exp x)))

rewrite26.0ms

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:

7.0ms	(+ 1.0 (exp x))
12.0ms	(- (log (+ 1.0 (exp x))) (* x y))
6.0ms	(log (+ 1.0 (exp x)))

series141.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ 1.0 (exp x))
64.0ms	(- (log (+ 1.0 (exp x))) (* x y))
69.0ms	(log (+ 1.0 (exp x)))

simplify59.0ms

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

prune164.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

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)))
3.9b	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
4.0b	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

rewrite80.0ms

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:

6.0ms	(pow (exp x) 3)
18.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
16.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
38.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

series271.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (exp x) 3)
93.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
44.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
111.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

simplify72.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (59.0ms)

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

prune316.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

3.9b	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
3.9b	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
4.0b	(log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))
4.0b	(log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

18.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
16.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
39.0ms	(log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))
36.0ms	(log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))

series442.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
50.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
186.0ms	(log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))
163.0ms	(log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))

simplify101.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	269	1084
1	872	982
2	3777	962
3	5001	958

prune427.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

3.9b	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
3.9b	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
4.0b	(log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))
4.0b	(log (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (- (* (- (* (exp x) (exp x)) (* 1.0 (exp x))) (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (* (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

16.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
18.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
35.0ms	(log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))
97.0ms	(log (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (- (* (- (* (exp x) (exp x)) (* 1.0 (exp x))) (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (* (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))))

series505.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
51.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
164.0ms	(log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))
246.0ms	(log (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (- (* (- (* (exp x) (exp x)) (* 1.0 (exp x))) (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (* (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))))

simplify50.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	384	1704
1	1306	1546
2	5002	1532

prune629.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes66.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	28
1	22	28

end0.0ms

sample1.7s

Algorithm

intervals

Results

926.0ms	2317×	body	10240	exit
306.0ms	8379×	body	80	valid
63.0ms	129×	body	1280	valid
62.0ms	239×	body	640	valid
30.0ms	192×	body	320	valid
10.0ms	110×	body	160	valid