Details

sample79.0ms

Algorithm

intervals

Results

54.0ms	190×	body	1280	valid
6.0ms	275×	body	80	valid
5.0ms	34×	body	640	valid
2.0ms	20×	body	320	valid
1.0ms	10×	body	160	valid

simplify216.0ms

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: 29.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.2b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite13.0ms

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)
8.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series70.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(- (exp x) 2.0)
57.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify93.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (21.0ms)

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

prune87.0ms

Pruning

3 alts after pruning (2 fresh and 1 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))

rewrite24.0ms

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:

4.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
7.0ms	(+ (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))

series265.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
54.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
45.0ms	(* 1/360 (pow x 6))
38.0ms	(* 1/12 (pow x 4))

simplify49.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (42.0ms)

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

prune192.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (exp x) 2.0) (exp x))
0.0b	(- (exp x) 2.0)
0.0b	(/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))
3.9b	(+ (* (exp x) (- (exp x) 2.0)) 1)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-cbrt-cube`
15×	`add-exp-log`
10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`flip3-+` `flip-+`
8×	`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×	`sub-neg` `associate-r`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `associate-/r/`
1×	`+-commutative` `flip3--` `frac-2neg` `times-frac` `diff-log` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `flip--` `div-inv` `distribute-lft-out` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

7.0ms	(* (+ (exp x) 2.0) (exp x))
4.0ms	(- (exp x) 2.0)
21.0ms	(/ (* (+ (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)

series190.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ (exp x) 2.0) (exp x))
12.0ms	(- (exp x) 2.0)
95.0ms	(/ (* (+ (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

93 → 93

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	502	938
1	3024	692
2	5001	686

prune187.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (exp x) 2.0) (- (exp x) 2.0))
0.0b	(* (exp x) (exp x))
0.0b	(pow (exp x) 2)
3.9b	(+ (pow (* (exp x) (- (exp x) 2.0)) 3) (pow 1 3))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `exp-prod`
19×	`pow1`
10×	`swap-sqr`
8×	`associate-r` `associate-l` `add-cbrt-cube`
6×	`add-exp-log` `flip3--` `flip--` `distribute-lft-out--` `add-log-exp`
5×	`pow-prod-down` `pow-sqr` `pow-prod-up`
4×	`frac-times` `pow-pow` `difference-of-squares`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow2` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `cube-mult` `pow-to-exp` `flip3-+` `pow-exp` `sum-log` `sum-cubes` `flip-+` `unpow2` `sqr-pow`

Counts

4 → 114

Calls

4 calls:

11.0ms	(* (- (exp x) 2.0) (- (exp x) 2.0))
6.0ms	(* (exp x) (exp x))
3.0ms	(pow (exp x) 2)
10.0ms	(+ (pow (* (exp x) (- (exp x) 2.0)) 3) (pow 1 3))

series284.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (- (exp x) 2.0) (- (exp x) 2.0))
13.0ms	(* (exp x) (exp x))
13.0ms	(pow (exp x) 2)
226.0ms	(+ (pow (* (exp x) (- (exp x) 2.0)) 3) (pow 1 3))

simplify77.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	470	661
1	2421	594
2	5001	583

prune372.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.7s	5735×	body	1280	valid
192.0ms	1207×	body	640	valid
187.0ms	8045×	body	80	valid
58.0ms	587×	body	320	valid
19.0ms	303×	body	160	valid