Details

sample33.0ms

Algorithm

intervals

Results

13.0ms	66×	body	1280	valid
4.0ms	29×	body	640	valid
3.0ms	128×	body	80	valid
2.0ms	24×	body	320	valid
1.0ms	9×	body	160	valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	30	5
3	52	5
4	114	5
5	322	5
6	1627	5
7	5002	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.6b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
4×	`associate-/r*`
3×	`pow1` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `sum-log` `flip--` `div-inv` `distribute-lft-out--`

Counts

3 → 60

Calls

3 calls:

6.0ms	(+ 1.0 (exp (* -2.0 x)))
13.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
65.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series121.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ 1.0 (exp (* -2.0 x)))
32.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
74.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify93.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	251	494
1	731	465
2	2785	460
3	5001	460

prune154.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.6b	(- (* 1 (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) 1.0)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
4×	`associate-/r*`
3×	`pow1` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `sum-log` `flip--` `div-inv` `distribute-lft-out--`

Counts

3 → 58

Calls

3 calls:

6.0ms	(+ 1.0 (exp (* -2.0 x)))
13.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
17.0ms	(- (* 1 (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) 1.0)

series123.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ 1.0 (exp (* -2.0 x)))
33.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
75.0ms	(- (* 1 (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) 1.0)

simplify134.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	259	479
1	828	443
2	3902	437
3	5002	437

prune131.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
0.1b	(* 0.33333333333333337 (pow x 3))
9.0b	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`associate-r`
10×	`add-log-exp`
8×	`add-exp-log`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-cbrt-cube`
4×	`unpow-prod-down` `cube-prod` `unswap-sqr`
3×	`pow1` `associate-l` `prod-exp`
2×	`diff-log` `sum-log` `sqr-pow`
1×	`+-commutative` `cube-mult` `pow-to-exp` `sub-neg` `flip3--` `flip3-+` `unpow3` `pow-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `associate--r+`

Counts

3 → 56

Calls

3 calls:

17.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
12.0ms	(* 0.33333333333333337 (pow x 3))
9.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series182.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
34.0ms	(* 0.33333333333333337 (pow x 3))
99.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify45.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	275	398
1	1164	371
2	5001	370

prune138.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes140.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 28.5b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	15
1	42	15
2	42	15

end0.0ms

sample872.0ms

Algorithm

intervals

Results

342.0ms	1686×	body	1280	valid
157.0ms	1180×	body	640	valid
104.0ms	4204×	body	80	valid
58.0ms	621×	body	320	valid
17.0ms	309×	body	160	valid