Details

sample61.0ms

Algorithm

intervals

Results

32.0ms	81×	body	10240	exit
10.0ms	272×	body	80	valid
3.0ms	6×	body	1280	valid
1.0ms	5×	body	640	valid
0.0ms	2×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
4×	`log-prod` `add-log-exp`
3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt`
2×	`log-div` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`+-commutative` `rem-log-exp` `sum-log` `log-pow`

Counts

2 → 27

Calls

2 calls:

6.0ms	(+ 1.0 (exp x))
6.0ms	(log (+ 1.0 (exp x)))

series70.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+ 1.0 (exp x))
58.0ms	(log (+ 1.0 (exp x)))

simplify95.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	128	169
1	337	152
2	897	151
3	3150	150
4	5002	150

prune73.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
1.0b	(log (/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))
1.1b	(/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
3.7b	(- (exp x) 1.0)

rewrite153.0ms

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:

4.0ms	(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))))
95.0ms	(/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
10.0ms	(- (exp x) 1.0)

series290.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(pow (exp x) 3)
164.0ms	(log (/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))
91.0ms	(/ (+ (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 (56.0ms)

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

prune372.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (pow x 2))
0.0b	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
0.0b	(+ (* 1/2 (pow x 2)) (+ x 2.0))
6.6b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
10×	`add-exp-log` `add-log-exp`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
6×	`log-prod` `add-cbrt-cube`
5×	`pow1`
4×	`unpow-prod-down` `log-div` `unswap-sqr`
3×	`flip3-+` `associate-l` `prod-exp` `associate--l+` `sum-log` `flip-+`
2×	`associate--l-` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `associate-+r+` `flip3--` `diff-log` `rem-log-exp` `pow-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod`

Counts

4 → 71

Calls

4 calls:

11.0ms	(* 1/2 (pow x 2))
21.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
18.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
20.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series166.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* 1/2 (pow x 2))
76.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
16.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
51.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	371	575
1	1439	529
2	5001	520

prune210.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/2 (pow x 2)) (+ x 2.0))
0.0b	(log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))
0.3b	(exp (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))))
6.6b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

19.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
1.0ms	(log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))
3.0ms	(exp (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))))
21.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series220.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
100.0ms	(log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))
47.0ms	(exp (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))))
52.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify38.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	351	653
1	1333	581
2	5001	552

prune181.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.9b

regimes56.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

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	2460×	body	10240	exit
318.0ms	8435×	body	80	valid
73.0ms	262×	body	640	valid
62.0ms	118×	body	1280	valid
33.0ms	193×	body	320	valid
12.0ms	97×	body	160	valid