Details

sample56.0ms

Algorithm

intervals

Results

29.0ms	70×	body	10240	exit
10.0ms	265×	body	80	valid
3.0ms	11×	body	640	valid
2.0ms	4×	body	1280	valid
1.0ms	8×	body	320	valid
0.0ms	3×	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: 0.8b

localize8.0ms

Local error

Found 3 expressions with local error:

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

series135.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- (log (+ 1.0 (exp x))) (* x y))
8.0ms	(+ 1.0 (exp x))
65.0ms	(log (+ 1.0 (exp x)))

simplify50.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (46.0ms)

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

prune133.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.6b	(/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
1.0b	(log (/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))
3.6b	(- (exp x) 1.0)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

107×	`*-un-lft-identity`
54×	`times-frac`
37×	`add-sqr-sqrt`
35×	`add-cube-cbrt` `distribute-lft-out`
33×	`log-prod`
31×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `associate-/l*`
7×	`sum-cubes` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`pow-pow` `associate-/r/`
3×	`pow-unpow` `exp-prod` `flip3-+` `associate-/r*` `flip-+`
2×	`div-exp` `rem-log-exp` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `sub-neg` `log-div` `flip3--` `frac-2neg` `diff-log` `unpow3` `pow-exp` `clear-num` `log-pow` `flip--` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`

Counts

4 → 139

Calls

4 calls:

2.0ms	(pow (exp x) 3)
56.0ms	(/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
26.0ms	(log (/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))
4.0ms	(- (exp x) 1.0)

series310.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (exp x) 3)
97.0ms	(/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
175.0ms	(log (/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))
14.0ms	(- (exp x) 1.0)

simplify74.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	499	2152
1	2114	2050
2	5003	2043

prune386.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(+ 1.0 (exp x))
1.7b	(log (sqrt (+ 1.0 (exp x))))
1.7b	(log (sqrt (+ 1.0 (exp x))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

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

series234.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ 1.0 (exp x))
8.0ms	(+ 1.0 (exp x))
109.0ms	(log (sqrt (+ 1.0 (exp x))))
109.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify41.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	155	476
1	390	434
2	1073	422
3	5002	414

prune223.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log 2.0) (+ (* 0.25 (pow x 2)) (* 0.5 x)))
0.0b	(+ (* 0.25 (pow x 2)) (* 0.5 x))
0.0b	(- (- (+ (log 2.0) (+ (* 0.25 (pow x 2)) (* 0.5 x))) (* 0.5 (/ (pow x 2) (pow 2.0 2)))) (* x y))
7.0b	(- (+ (log 2.0) (+ (* 0.25 (pow x 2)) (* 0.5 x))) (* 0.5 (/ (pow x 2) (pow 2.0 2))))

rewrite400.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-log-exp`
10×	`diff-log` `sum-log`
8×	`*-un-lft-identity`
5×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `associate--l+`
4×	`add-exp-log` `add-cbrt-cube`
3×	`sub-neg` `associate-+l+` `log-prod` `flip3-+` `flip-+`
2×	`+-commutative` `flip3--` `associate-*r/` `frac-sub` `flip--` `distribute-lft-out`
1×	`associate--l-` `associate-+r+` `log-pow`

Counts

4 → 65

Calls

4 calls:

9.0ms	(+ (log 2.0) (+ (* 0.25 (pow x 2)) (* 0.5 x)))
3.0ms	(+ (* 0.25 (pow x 2)) (* 0.5 x))
312.0ms	(- (- (+ (log 2.0) (+ (* 0.25 (pow x 2)) (* 0.5 x))) (* 0.5 (/ (pow x 2) (pow 2.0 2)))) (* x y))
74.0ms	(- (+ (log 2.0) (+ (* 0.25 (pow x 2)) (* 0.5 x))) (* 0.5 (/ (pow x 2) (pow 2.0 2))))

series231.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (log 2.0) (+ (* 0.25 (pow x 2)) (* 0.5 x)))
73.0ms	(+ (* 0.25 (pow x 2)) (* 0.5 x))
72.0ms	(- (- (+ (log 2.0) (+ (* 0.25 (pow x 2)) (* 0.5 x))) (* 0.5 (/ (pow x 2) (pow 2.0 2)))) (* x y))
56.0ms	(- (+ (log 2.0) (+ (* 0.25 (pow x 2)) (* 0.5 x))) (* 0.5 (/ (pow x 2) (pow 2.0 2))))

simplify49.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	373	930
1	1516	885
2	5002	859

prune224.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	14
1	20	14

end0.0ms

sample1.6s

Algorithm

intervals

Results

948.0ms	2344×	body	10240	exit
309.0ms	8425×	body	80	valid
58.0ms	220×	body	640	valid
56.0ms	113×	body	1280	valid
31.0ms	203×	body	320	valid
8.0ms	87×	body	160	valid