Details

sample62.0ms

Algorithm

intervals

Results

33.0ms	80×	body	10240	exit
12.0ms	258×	body	80	valid
3.0ms	11×	body	640	valid
1.0ms	2×	body	1280	valid
1.0ms	8×	body	320	valid
1.0ms	6×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.0b	(+ 1.0 (exp x))
0.2b	(log (+ 1.0 (exp x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

5.0ms	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(+ 1.0 (exp x))
3.0ms	(log (+ 1.0 (exp x)))

series124.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (log (+ 1.0 (exp x))) (* x y))
8.0ms	(+ 1.0 (exp x))
62.0ms	(log (+ 1.0 (exp x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	207	322
1	584	301
2	1729	298
3	5001	297

prune127.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

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)))
5.2b	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
5.3b	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

rewrite47.0ms

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×	`log-div` `pow-pow`
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--` `diff-log` `unpow3` `pow-exp` `sum-cubes` `flip--` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 73

Calls

4 calls:

2.0ms	(pow (exp x) 3)
14.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
7.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
22.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

series264.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (exp x) 3)
89.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
46.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
105.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

simplify61.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	363	641
1	1502	568
2	5001	560

prune277.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

5.2b	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
5.3b	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))
5.3b	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))
5.3b	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod`
7×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`log-div` `add-log-exp`
4×	`add-cbrt-cube`
3×	`flip3-+` `rem-log-exp` `log-pow` `flip-+`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `flip--`

Counts

4 → 55

Calls

4 calls:

7.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
20.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))
19.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))
20.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

series370.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
108.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))
106.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))
109.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

simplify72.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	197	874
1	612	754
2	2304	744
3	5001	743

prune366.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

5.3b	(log (pow (exp (exp x)) (- (exp x) 1.0)))
5.3b	(log (+ (* 1.0 1.0) (log (pow (exp (exp x)) (- (exp x) 1.0)))))
5.3b	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))
5.3b	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-exp-log`
7×	`pow1` `log-div`
6×	`rem-log-exp`
4×	`log-pow` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `flip3-+` `flip-+`
2×	`unpow-prod-up`
1×	`pow-to-exp` `sub-neg` `pow-exp` `pow-sub` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

3.0ms	(log (pow (exp (exp x)) (- (exp x) 1.0)))
3.0ms	(log (+ (* 1.0 1.0) (log (pow (exp (exp x)) (- (exp x) 1.0)))))
19.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))
19.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

series666.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(log (pow (exp (exp x)) (- (exp x) 1.0)))
249.0ms	(log (+ (* 1.0 1.0) (log (pow (exp (exp x)) (- (exp x) 1.0)))))
111.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))
105.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

simplify84.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	275	934
1	750	811
2	2933	803
3	5001	797

prune481.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes84.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	40
1	35	40

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s	2485×	body	10240	exit
317.0ms	8371×	body	80	valid
78.0ms	282×	body	640	valid
52.0ms	103×	body	1280	valid
28.0ms	178×	body	320	valid
14.0ms	141×	body	160	valid