Details

sample64.0ms

Algorithm

intervals

Results

31.0ms	115×	body	1280	valid
12.0ms	74×	body	640	valid
6.0ms	259×	body	80	valid
4.0ms	45×	body	320	valid
1.0ms	17×	body	160	valid

simplify219.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	23	5
2	31	5
3	36	5
4	41	5
5	65	5
6	103	5
7	250	5
8	1252	5
9	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize9.0ms

Local error

Found 1 expressions with local error:

4.9b	(- (exp x) (exp (- x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

5.0ms

(- (exp x) (exp (- x)))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(- (exp x) (exp (- x)))

simplify590.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	100	120
1	257	108
2	763	107
3	4896	105
4	5001	105

prune52.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`associate-r`
12×	`add-exp-log`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp` `add-cbrt-cube`
4×	`cube-prod` `sqr-pow`
2×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`
1×	`cube-mult` `unpow3`

Counts

2 → 56

Calls

2 calls:

5.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series84.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* 1/60 (pow x 5))
39.0ms	(* 1/3 (pow x 3))

simplify185.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	208	221
1	871	199
2	4632	199
3	5001	199

prune132.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (- (exp x) (exp (* -1 x))) 3)
0.1b	(cbrt (pow (- (exp x) (exp (* -1 x))) 3))
4.9b	(- (exp x) (exp (* -1 x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`cbrt-prod`
10×	`unpow-prod-down` `cube-prod`
9×	`add-cube-cbrt`
5×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 70

Calls

3 calls:

6.0ms	(pow (- (exp x) (exp (* -1 x))) 3)
6.0ms	(cbrt (pow (- (exp x) (exp (* -1 x))) 3))
5.0ms	(- (exp x) (exp (* -1 x)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(pow (- (exp x) (exp (* -1 x))) 3)
31.0ms	(cbrt (pow (- (exp x) (exp (* -1 x))) 3))
36.0ms	(- (exp x) (exp (* -1 x)))

simplify34.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	235	617
1	831	587
2	5002	573

prune126.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (- (exp x) (pow (exp x) -3)))
0.0b	(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (- x))))
0.0b	(pow (exp x) -3)
4.9b	(- (exp x) (pow (exp x) -3))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
11×	`add-cube-cbrt` `add-cbrt-cube`
9×	`add-exp-log`
7×	`pow1` `associate-r`
6×	`add-log-exp` `difference-of-squares`
5×	`unpow-prod-down`
4×	`pow-pow` `times-frac` `associate-r/` `associate-/r`
3×	`sub-neg` `pow-unpow` `exp-prod` `flip3--` `associate-l` `flip--` `sqr-pow`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `distribute-lft-out--`
1×	`pow-to-exp` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `pow-exp` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

13.0ms	(* (exp x) (- (exp x) (pow (exp x) -3)))
15.0ms	(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (- x))))
3.0ms	(pow (exp x) -3)
6.0ms	(- (exp x) (pow (exp x) -3))

series297.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (exp x) (- (exp x) (pow (exp x) -3)))
135.0ms	(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (- x))))
28.0ms	(pow (exp x) -3)
45.0ms	(- (exp x) (pow (exp x) -3))

simplify61.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	420	889
1	2061	787
2	5002	784

prune226.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

947.0ms	3424×	body	1280	valid
407.0ms	2507×	body	640	valid
192.0ms	7995×	body	80	valid
119.0ms	1223×	body	320	valid
37.0ms	575×	body	160	valid