Details

sample58.0ms

Algorithm

intervals

Results

17.0ms	139×	body	80	valid
15.0ms	52×	body	1280	valid
8.0ms	42×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	7×	body	160	valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	15	10
2	22	10
3	31	10
4	55	10
5	120	10
6	278	10
7	819	10
8	3019	10
done	5001	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.3b

localize23.0ms

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))))
1.4b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite195.0ms

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:

15.0ms	(+ 1.0 (exp (* -2.0 x)))
26.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
138.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series234.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ 1.0 (exp (* -2.0 x)))
78.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
126.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.5s

Counts

150 → 150

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	180	3092
1	400	2501
2	856	2219
3	2401	1982
done	5001	1796

prune351.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b	(cbrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3))
0.0b	(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
1.4b	(- (cbrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)) 1.0)

rewrite527.0ms

Algorithm

rewrite-expression-head

Rules

246×	`*-un-lft-identity`
216×	`cbrt-prod`
179×	`add-sqr-sqrt`
164×	`add-cube-cbrt`
158×	`times-frac`
135×	`prod-diff`
110×	`unpow-prod-down` `cube-prod`
45×	`fma-neg`
40×	`distribute-lft-out`
26×	`associate-/r/`
13×	`flip3-+` `flip-+` `div-inv`
9×	`add-exp-log` `add-cbrt-cube`
7×	`difference-of-squares` `sqr-pow`
6×	`cube-mult` `unpow3` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
3×	`pow-unpow` `associate-/l*`
2×	`cbrt-undiv` `cube-div` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`pow-to-exp` `sub-neg` `cbrt-div` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `diff-log` `clear-num` `flip--` `rem-cbrt-cube` `distribute-lft-out--`

Counts

4 → 349

Calls

4 calls:

26.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
34.0ms	(cbrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3))
39.0ms	(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
391.0ms	(- (cbrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)) 1.0)

series328.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
67.0ms	(cbrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3))
91.0ms	(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
101.0ms	(- (cbrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)) 1.0)

simplify1.8s

Counts

361 → 361

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	300	9472
1	729	6333
2	1856	5313
done	5000	5293

prune744.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 0.33333333333333337 (pow x 3))
8.5b	(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

rewrite16.0ms

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:

14.0ms	(* 0.33333333333333337 (pow x 3))
0.0ms	(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

series196.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(* 0.33333333333333337 (pow x 3))
141.0ms	(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

simplify1.6s

Counts

49 → 49

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	70	445
1	141	409
2	388	369
3	1882	369
done	5000	369

prune143.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes194.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 28.6b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	27	52
1	34	40
done	34	40

end0.0ms

sample1.7s

Algorithm

intervals

Results

803.0ms	1669×	body	1280	valid
328.0ms	1245×	body	640	valid
225.0ms	4197×	body	80	valid
76.0ms	605×	body	320	valid
23.0ms	284×	body	160	valid