Details

sample31.0ms

Algorithm

intervals

Results

11.0ms	53×	body	1280	valid
6.0ms	41×	body	640	valid
3.0ms	127×	body	80	valid
2.0ms	22×	body	320	valid
1.0ms	13×	body	160	valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	31	5
3	54	5
4	119	5
5	333	5
6	1646	5
7	5001	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.3b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b	(+ 1.0 (exp (* -2.0 x)))
3.1b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

99×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
63×	`add-cube-cbrt`
61×	`times-frac`
54×	`prod-diff`
18×	`fma-neg`
17×	`distribute-lft-out`
10×	`associate-/r/`
7×	`add-log-exp`
6×	`flip3-+` `flip-+`
5×	`add-exp-log` `add-cbrt-cube` `div-inv`
4×	`associate-/r*`
3×	`pow1` `expm1-log1p-u` `fma-def` `log1p-expm1-u` `associate-/l*`
2×	`difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `sum-log` `flip--` `distribute-lft-out--`

Counts

3 → 141

Calls

3 calls:

6.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.0ms	(+ 1.0 (exp (* -2.0 x)))
44.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series131.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
15.0ms	(+ 1.0 (exp (* -2.0 x)))
78.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify46.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	398	1645
1	1287	1235
2	5001	1212

prune267.0ms

Filtered

150 candidates to 86 candidates (57.3%)

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	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b	(+ 1.0 (exp (* -2.0 x)))
3.0b	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
3.1b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

164×	`*-un-lft-identity`
118×	`add-sqr-sqrt`
108×	`add-cube-cbrt` `prod-diff`
98×	`times-frac`
59×	`log-prod`
56×	`exp-sum`
26×	`distribute-lft-out`
18×	`fma-neg`
16×	`associate-/r/`
9×	`flip3-+` `flip-+`
8×	`div-inv` `add-log-exp`
7×	`log-pow`
6×	`add-exp-log` `exp-prod` `add-cbrt-cube`
5×	`pow1`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `difference-of-squares`
3×	`fma-def` `associate-/l*`
2×	`sub-neg` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `log-div` `flip3--` `frac-2neg` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `clear-num` `sum-log` `flip--`

Counts

4 → 218

Calls

4 calls:

6.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.0ms	(+ 1.0 (exp (* -2.0 x)))
89.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
53.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series208.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
16.0ms	(+ 1.0 (exp (* -2.0 x)))
77.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
79.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify64.0ms

Algorithm

egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	537	2939
1	1511	2129
2	5001	1740

prune357.0ms

Filtered

230 candidates to 113 candidates (49.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 0.33333333333333337 (pow x 3))
10.3b	(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 43

Calls

2 calls:

7.0ms	(* 0.33333333333333337 (pow x 3))
0.0ms	(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* 0.33333333333333337 (pow x 3))
94.0ms	(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

simplify183.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	142	195
1	582	172
2	3698	172
3	5002	172

prune119.0ms

Filtered

49 candidates to 33 candidates (67.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes181.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 29.4b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	15
1	33	15

end0.0ms

sample875.0ms

Algorithm

intervals

Results

356.0ms	1715×	body	1280	valid
184.0ms	1279×	body	640	valid
113.0ms	4081×	body	80	valid
56.0ms	585×	body	320	valid
21.0ms	340×	body	160	valid