Details

sample64.0ms

Algorithm

intervals

Results

33.0ms	80×	body	10240	exit
14.0ms	279×	body	80	valid
3.0ms	11×	body	640	valid
2.0ms	3×	body	1280	valid
1.0ms	6×	body	320	valid
0.0ms	1×	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: 0.0b

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

rewrite25.0ms

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:

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

series116.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (log (+ 1.0 (exp x))) (* x y))
7.0ms	(+ 1.0 (exp x))
57.0ms	(log (+ 1.0 (exp x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (42.0ms)

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

prune168.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.0b	(log (/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))
0.2b	(/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
5.5b	(- (exp x) 1.0)

rewrite158.0ms

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:

6.0ms	(pow (exp x) 3)
37.0ms	(log (/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))
99.0ms	(/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
10.0ms	(- (exp x) 1.0)

series274.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(pow (exp x) 3)
157.0ms	(log (/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))
85.0ms	(/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
12.0ms	(- (exp x) 1.0)

simplify78.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (59.0ms)

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

prune712.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ 1.0 (exp x)) (exp (* x y)))
0.0b	(+ 1.0 (exp x))
0.4b	(log (/ (+ 1.0 (exp x)) (exp (* x y))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
24×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`log-prod`
8×	`distribute-lft-out`
6×	`add-exp-log`
5×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `associate-/l*`
3×	`associate-/r*`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `log-div` `frac-2neg` `clear-num` `sum-log` `log-pow`

Counts

3 → 72

Calls

3 calls:

24.0ms	(/ (+ 1.0 (exp x)) (exp (* x y)))
6.0ms	(+ 1.0 (exp x))
9.0ms	(log (/ (+ 1.0 (exp x)) (exp (* x y))))

series70.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ (+ 1.0 (exp x)) (exp (* x y)))
7.0ms	(+ 1.0 (exp x))
41.0ms	(log (/ (+ 1.0 (exp x)) (exp (* x y))))

simplify71.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	248	687
1	710	637
2	2632	621
3	5001	620

prune272.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	14
1	20	14

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s	2455×	body	10240	exit
346.0ms	8466×	body	80	valid
71.0ms	259×	body	640	valid
67.0ms	129×	body	1280	valid
31.0ms	171×	body	320	valid
10.0ms	102×	body	160	valid