Details

sample60.0ms

Algorithm

intervals

Results

31.0ms	78×	body	10240	exit
10.0ms	276×	body	80	valid
3.0ms	12×	body	640	valid
3.0ms	5×	body	1280	valid
1.0ms	6×	body	320	valid
0.0ms	2×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

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

series120.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ 1.0 (exp x))
56.0ms	(- (log (+ 1.0 (exp x))) (* x y))
57.0ms	(log (+ 1.0 (exp x)))

simplify47.0ms

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

prune125.0ms

Filtered

54 candidates to 40 candidates (74.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (exp x))
0.1b	(pow (exp x) 3)
3.7b	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))
3.8b	(- (* (exp x) (exp x)) (* 1.0 (exp x)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `exp-prod`
19×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow1`
7×	`add-cbrt-cube`
6×	`add-log-exp`
5×	`add-exp-log`
4×	`pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up`
3×	`unpow-prod-down` `pow-unpow` `log-prod` `cube-prod` `swap-sqr` `associate-r` `associate-l`
2×	`log-div`
1×	`pow2` `cube-mult` `pow-to-exp` `sub-neg` `flip3--` `distribute-rgt-out--` `flip3-+` `pow-plus` `diff-log` `unpow3` `rem-log-exp` `pow-exp` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 87

Calls

4 calls:

7.0ms	(* (exp x) (exp x))
2.0ms	(pow (exp x) 3)
18.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))
7.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))

series187.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* (exp x) (exp x))
26.0ms	(pow (exp x) 3)
104.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))
43.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))

simplify66.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	342	542
1	1663	475
2	5002	462

prune311.0ms

Filtered

99 candidates to 64 candidates (64.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 (exp x)))
0.0b	(sqrt (+ 1.0 (exp x)))
0.7b	(log (sqrt (+ 1.0 (exp x))))
0.7b	(log (sqrt (+ 1.0 (exp x))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

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

series274.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(sqrt (+ 1.0 (exp x)))
38.0ms	(sqrt (+ 1.0 (exp x)))
102.0ms	(log (sqrt (+ 1.0 (exp x))))
103.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify53.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	162	564
1	453	528
2	1549	508
3	5001	496

prune228.0ms

Filtered

84 candidates to 60 candidates (71.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (+ 1.0 (exp x)))
0.5b	(sqrt (- (log (+ 1.0 (exp x))) (* x y)))
0.5b	(sqrt (- (log (+ 1.0 (exp x))) (* x y)))
0.6b	(* (sqrt (- (log (+ 1.0 (exp x))) (* x y))) (sqrt (- (log (+ 1.0 (exp x))) (* x y))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
24×	`sqrt-prod`
22×	`pow1`
17×	`*-un-lft-identity`
16×	`sqrt-div`
15×	`add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`flip3--` `swap-sqr` `flip--`
7×	`add-exp-log`
6×	`associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `log-prod` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `log-div` `associate-r/` `associate-l/`
1×	`pow2` `flip3-+` `pow-plus` `sqrt-unprod` `rem-log-exp` `prod-exp` `rem-square-sqrt` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

4 → 102

Calls

4 calls:

3.0ms	(log (+ 1.0 (exp x)))
3.0ms	(sqrt (- (log (+ 1.0 (exp x))) (* x y)))
3.0ms	(sqrt (- (log (+ 1.0 (exp x))) (* x y)))
18.0ms	(* (sqrt (- (log (+ 1.0 (exp x))) (* x y))) (sqrt (- (log (+ 1.0 (exp x))) (* x y))))

series386.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(log (+ 1.0 (exp x)))
134.0ms	(sqrt (- (log (+ 1.0 (exp x))) (* x y)))
129.0ms	(sqrt (- (log (+ 1.0 (exp x))) (* x y)))
64.0ms	(* (sqrt (- (log (+ 1.0 (exp x))) (* x y))) (sqrt (- (log (+ 1.0 (exp x))) (* x y))))

simplify52.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	327	1180
1	1147	1065
2	5001	1016

prune244.0ms

Filtered

114 candidates to 68 candidates (59.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes73.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	2441×	body	10240	exit
320.0ms	8411×	body	80	valid
74.0ms	264×	body	640	valid
64.0ms	128×	body	1280	valid
29.0ms	181×	body	320	valid
10.0ms	109×	body	160	valid