Details

sample83.0ms

Algorithm

intervals

Results

59.0ms	199×	body	1280	valid
6.0ms	259×	body	80	valid
4.0ms	25×	body	640	valid
2.0ms	20×	body	320	valid
0.0ms	7×	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: 26.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
3.8b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite57.0ms

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:

10.0ms	(- (exp x) 2.0)
46.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series64.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(- (exp x) 2.0)
53.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify94.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (21.0ms)

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

prune82.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:

11.0ms	(* 1/360 (pow x 6))
11.0ms	(* 1/12 (pow x 4))

series80.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* 1/360 (pow x 6))
33.0ms	(* 1/12 (pow x 4))

simplify175.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	192	196
1	793	182
2	4701	173
3	5001	173

prune115.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (exp x) 2.0)
0.0b	(* (sqrt (+ (- (exp x) 2.0) (exp (- x)))) (sqrt (+ (- (exp x) 2.0) (exp (- x)))))
3.8b	(+ (- (exp x) 2.0) (exp (- x)))
3.8b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite346.0ms

Algorithm

rewrite-expression-head

Rules

84×	`sqrt-div`
68×	`*-un-lft-identity`
64×	`frac-add`
38×	`sqrt-prod`
36×	`frac-times`
33×	`flip3--` `flip--`
32×	`neg-sub0` `exp-neg` `exp-diff`
26×	`add-sqr-sqrt`
20×	`distribute-lft-out`
19×	`pow1`
16×	`flip3-+` `swap-sqr` `flip-+` `add-log-exp`
12×	`add-cube-cbrt`
11×	`distribute-lft-out--`
8×	`sqrt-pow1` `pow1/2` `associate-r` `associate-l`
6×	`add-exp-log` `associate-r/` `associate-l/` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`associate-+l+` `sum-log` `unswap-sqr`
3×	`sub-neg` `diff-log` `pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-+l-`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `difference-of-squares`

Counts

4 → 165

Calls

4 calls:

10.0ms	(- (exp x) 2.0)
236.0ms	(* (sqrt (+ (- (exp x) 2.0) (exp (- x)))) (sqrt (+ (- (exp x) 2.0) (exp (- x)))))
46.0ms	(+ (- (exp x) 2.0) (exp (- x)))
44.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series165.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (exp x) 2.0)
52.0ms	(* (sqrt (+ (- (exp x) 2.0) (exp (- x)))) (sqrt (+ (- (exp x) 2.0) (exp (- x)))))
53.0ms	(+ (- (exp x) 2.0) (exp (- x)))
49.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	358	2647
1	1267	2554
2	5001	2512

prune259.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (exp x) (exp x)) (+ (* 2.0 2.0) (* (exp x) 2.0)))
0.0b	(pow (exp x) 3)
3.1b	(+ (* (- (* (exp x) (exp x)) (* 2.0 2.0)) (exp x)) (* (+ (exp x) 2.0) 1))
3.8b	(+ (* (- (pow (exp x) 3) (pow 2.0 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2.0 2.0) (* (exp x) 2.0))) 1))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-*l/`
13×	`add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `frac-add`
7×	`flip3-+` `flip-+`
5×	`pow1` `sum-log` `add-cbrt-cube`
4×	`add-exp-log` `flip3--` `pow-pow` `flip--`
3×	`+-commutative` `unpow-prod-down` `pow-unpow` `exp-prod` `cube-prod`
1×	`cube-mult` `pow-to-exp` `associate-+r+` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

25.0ms	(+ (* (exp x) (exp x)) (+ (* 2.0 2.0) (* (exp x) 2.0)))
4.0ms	(pow (exp x) 3)
34.0ms	(+ (* (- (* (exp x) (exp x)) (* 2.0 2.0)) (exp x)) (* (+ (exp x) 2.0) 1))
65.0ms	(+ (* (- (pow (exp x) 3) (pow 2.0 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2.0 2.0) (* (exp x) 2.0))) 1))

series210.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* (exp x) (exp x)) (+ (* 2.0 2.0) (* (exp x) 2.0)))
27.0ms	(pow (exp x) 3)
60.0ms	(+ (* (- (* (exp x) (exp x)) (* 2.0 2.0)) (exp x)) (* (+ (exp x) 2.0) 1))
88.0ms	(+ (* (- (pow (exp x) 3) (pow 2.0 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2.0 2.0) (* (exp x) 2.0))) 1))

simplify144.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (133.0ms)

Iter	Nodes	Cost
0	686	1233
1	4003	1129
2	5001	1125

prune427.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes39.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.6s	5719×	body	1280	valid
172.0ms	1169×	body	640	valid
169.0ms	7842×	body	80	valid
54.0ms	607×	body	320	valid
20.0ms	340×	body	160	valid