Details

sample76.0ms

Algorithm

intervals

Results

51.0ms	178×	body	1280	valid
7.0ms	43×	body	640	valid
6.0ms	273×	body	80	valid
2.0ms	18×	body	320	valid
1.0ms	15×	body	160	valid

simplify214.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	26	5
2	41	5
3	55	5
4	67	5
5	100	5
6	144	5
7	296	5
8	1321	5
9	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.6b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `add-cube-cbrt` `sub-neg` `associate-+l+` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

4.0ms	(- (exp x) 2.0)
24.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series65.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(- (exp x) 2.0)
53.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify94.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	211	282
1	715	269
2	3477	260
3	5001	260

prune87.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
0.0b	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`add-exp-log` `associate-r`
12×	`*-un-lft-identity`
11×	`add-log-exp`
10×	`add-cube-cbrt`
8×	`unpow-prod-down` `add-cbrt-cube`
6×	`associate-l` `prod-exp` `unswap-sqr`
4×	`pow1` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

4 → 75

Calls

4 calls:

3.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
15.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
5.0ms	(* 1/360 (pow x 6))
5.0ms	(* 1/12 (pow x 4))

series263.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
50.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
49.0ms	(* 1/360 (pow x 6))
34.0ms	(* 1/12 (pow x 4))

simplify51.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	329	464
1	1456	439
2	5001	423

prune197.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`associate-r`
12×	`add-exp-log`
8×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
6×	`associate-l` `prod-exp` `add-cbrt-cube` `unswap-sqr`
4×	`sqr-pow`
2×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

2 → 50

Calls

2 calls:

5.0ms	(* 1/360 (pow x 6))
6.0ms	(* 1/12 (pow x 4))

series92.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* 1/360 (pow x 6))
40.0ms	(* 1/12 (pow x 4))

simplify204.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	192	194
1	799	182
2	4587	173
3	5002	173

prune119.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 2.0)
0.0b	(* (+ (exp x) 2.0) (exp x))
0.0b	(/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))
4.6b	(+ (* (exp x) (- (exp x) 2.0)) 1)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-cbrt-cube`
15×	`add-exp-log`
10×	`*-un-lft-identity` `flip3-+` `flip-+`
8×	`add-sqr-sqrt` `associate-/l/` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `associate-*l/`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `frac-times` `associate-+l+` `div-exp` `associate-l`
3×	`associate-r`
2×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `sum-log` `associate-/r/` `distribute-lft-out`
1×	`frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

3.0ms	(+ (exp x) 2.0)
15.0ms	(* (+ (exp x) 2.0) (exp x))
26.0ms	(/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))
8.0ms	(+ (* (exp x) (- (exp x) 2.0)) 1)

series183.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (exp x) 2.0)
21.0ms	(* (+ (exp x) 2.0) (exp x))
96.0ms	(/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))
58.0ms	(+ (* (exp x) (- (exp x) 2.0)) 1)

simplify85.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	481	928
1	2974	682
2	5003	671

prune194.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.6s	5691×	body	1280	valid
195.0ms	1250×	body	640	valid
179.0ms	8155×	body	80	valid
54.0ms	590×	body	320	valid
19.0ms	316×	body	160	valid