Details

sample37.0ms

Algorithm

intervals

Results

12.0ms	58×	body	1280	valid
5.0ms	35×	body	640	valid
5.0ms	24×	body	320	valid
4.0ms	127×	body	80	valid
1.0ms	12×	body	160	valid

simplify61.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize7.0ms

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)))
2.9b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite57.0ms

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)))
41.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series130.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
18.0ms	(+ 1.0 (exp (* -2.0 x)))
77.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify51.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (36.0ms)

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

prune262.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1.0 x (- (fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))))
0.1b	(* 0.33333333333333337 (pow x 3))
11.1b	(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`associate-r`
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` `expm1-log1p-u` `associate-l` `prod-exp` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma 1.0 x (- (fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))))
7.0ms	(* 0.33333333333333337 (pow x 3))
0.0ms	(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

series176.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(fma 1.0 x (- (fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))))
34.0ms	(* 0.33333333333333337 (pow x 3))
94.0ms	(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

simplify197.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	170	301
1	655	265
2	4046	264
3	5002	264

prune160.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(+ 1.0 (exp (* -2.0 x)))
2.9b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
2.9b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

162×	`*-un-lft-identity`
116×	`add-sqr-sqrt`
108×	`prod-diff`
106×	`add-cube-cbrt`
98×	`times-frac`
36×	`fma-neg`
26×	`distribute-lft-out`
16×	`associate-/r/`
12×	`add-log-exp`
10×	`flip3-+` `flip-+`
8×	`div-inv`
6×	`fma-def`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `difference-of-squares`
2×	`+-commutative` `sub-neg` `flip3--` `diff-log` `sum-log` `flip--` `distribute-lft-out--`

Counts

4 → 212

Calls

4 calls:

3.0ms	(+ 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)
43.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series184.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ 1.0 (exp (* -2.0 x)))
15.0ms	(+ 1.0 (exp (* -2.0 x)))
76.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
77.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify61.0ms

Algorithm

egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	362	2766
1	1096	1964
2	5001	1896

prune400.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes283.0ms

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	31	13
1	31	13

end0.0ms

sample913.0ms

Algorithm

intervals

Results

371.0ms	1719×	body	1280	valid
180.0ms	1261×	body	640	valid
120.0ms	4087×	body	80	valid
61.0ms	614×	body	320	valid
20.0ms	319×	body	160	valid