Details

sample43.0ms

Algorithm

intervals

Results

15.0ms	56×	body	1280	valid
7.0ms	38×	body	640	valid
5.0ms	133×	body	80	valid
2.0ms	20×	body	320	valid
1.0ms	9×	body	160	valid

simplify3.6s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

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))))
2.6b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite237.0ms

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:

16.0ms	(+ 1.0 (exp (* -2.0 x)))
32.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
177.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series175.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+ 1.0 (exp (* -2.0 x)))
55.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
102.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.6s

Counts

150 → 150

Iterations

Useful iterations: done (2.6s)

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

prune389.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(+ 1.0 (exp (* -2.0 x)))
0.5b	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
2.6b	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

rewrite733.0ms

Algorithm

rewrite-expression-head

Rules

1375×	`times-frac`
1227×	`*-un-lft-identity`
853×	`add-sqr-sqrt`
829×	`add-cube-cbrt`
789×	`sqrt-prod`
585×	`prod-diff`
198×	`distribute-lft-out`
195×	`fma-neg`
66×	`sqrt-div` `associate-/r/`
35×	`flip3-+` `flip-+`
33×	`div-inv`
10×	`add-log-exp`
7×	`associate-/r*` `difference-of-squares`
6×	`add-exp-log` `fma-def` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`associate-/l*`
2×	`+-commutative` `sum-log`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `distribute-lft-out--`

Counts

4 → 883

Calls

4 calls:

8.0ms	(+ 1.0 (exp (* -2.0 x)))
8.0ms	(+ 1.0 (exp (* -2.0 x)))
24.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
519.0ms	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

series320.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ 1.0 (exp (* -2.0 x)))
34.0ms	(+ 1.0 (exp (* -2.0 x)))
131.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
122.0ms	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

simplify2.4s

Counts

895 → 895

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	672	36057
1	1528	26961
2	2873	21384
done	5001	17650

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 x) (fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3))))
0.1b	(* 0.33333333333333337 (pow x 3))
9.5b	(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`associate-r`
8×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-cbrt-cube` `add-log-exp`
4×	`unpow-prod-down` `cube-prod` `unswap-sqr`
3×	`pow1` `expm1-log1p-u` `associate-l` `prod-diff` `prod-exp` `log1p-expm1-u`
2×	`fma-udef` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `pow-exp` `*-commutative` `flip--` `cbrt-unprod` `associate--r+`

Counts

3 → 62

Calls

3 calls:

9.0ms	(- (* 1.0 x) (fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3))))
14.0ms	(* 0.33333333333333337 (pow x 3))
0.0ms	(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

series246.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- (* 1.0 x) (fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3))))
63.0ms	(* 0.33333333333333337 (pow x 3))
120.0ms	(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

simplify3.2s

Counts

71 → 71

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	112	1058
1	246	875
2	755	818
3	3941	781
done	5000	780

prune255.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes154.0ms

Accuracy

98.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 29.8b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	29	68
1	37	46
done	37	46

end0.0ms

sample2.2s

Algorithm

intervals

Results

709.0ms	1772×	body	1280	valid
613.0ms	4111×	body	80	valid
367.0ms	1203×	body	640	valid
129.0ms	597×	body	320	valid
33.0ms	317×	body	160	valid