Details

sample80.0ms

Algorithm

intervals

Results

34.0ms	48×	body	1280	valid
13.0ms	40×	body	640	valid
8.0ms	133×	body	80	valid
5.0ms	22×	body	320	valid
2.0ms	13×	body	160	valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	15	10
2	22	10
3	30	10
4	53	10
5	115	10
6	270	10
7	776	10
8	2948	10
done	5001	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize8.0ms

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)))
3.3b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite133.0ms

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:

33.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
9.0ms	(+ 1.0 (exp (* -2.0 x)))
88.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series188.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
17.0ms	(+ 1.0 (exp (* -2.0 x)))
126.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify3.5s

Counts

69 → 69

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	116	947
1	252	903
2	555	847
3	1212	838
4	3536	836
done	5000	836

prune197.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
0.0b	(/ (- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0)) (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
3.3b	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

rewrite333.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
80×	`times-frac`
62×	`add-sqr-sqrt`
50×	`add-cube-cbrt`
24×	`swap-sqr` `distribute-lft-out`
18×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
11×	`pow1`
10×	`associate-/r/`
8×	`add-log-exp`
6×	`flip3-+` `flip-+` `difference-of-squares`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`prod-exp` `associate-/r` `cbrt-unprod` `associate-/l` `unswap-sqr`
2×	`flip3--` `flip--` `associate-/l/`
1×	`+-commutative` `pow2` `frac-times` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 154

Calls

4 calls:

16.0ms	(+ 1.0 (exp (* -2.0 x)))
94.0ms	(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
182.0ms	(/ (- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0)) (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
27.0ms	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

series490.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ 1.0 (exp (* -2.0 x)))
63.0ms	(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
282.0ms	(/ (- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0)) (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
108.0ms	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

simplify1.9s

Counts

166 → 166

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	245	4946
1	698	4472
2	2679	3653
done	5002	3322

prune570.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-r` `prod-exp`
2×	`pow1` `distribute-rgt-in` `distribute-lft-in` `associate-*r/` `associate--r+` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `flip3-+` `diff-log` `unpow3` `pow-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+`

Counts

2 → 49

Calls

2 calls:

8.0ms	(- (* 1.0 x) (* (pow x 3) (+ (* 5.551115123125783e-17 x) 0.33333333333333337)))
48.0ms	(* (pow x 3) (+ (* 5.551115123125783e-17 x) 0.33333333333333337))

series211.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(- (* 1.0 x) (* (pow x 3) (+ (* 5.551115123125783e-17 x) 0.33333333333333337)))
133.0ms	(* (pow x 3) (+ (* 5.551115123125783e-17 x) 0.33333333333333337))

simplify1.4s

Counts

55 → 55

Iterations

Useful iterations: 2 (232.0ms)

Iter	Nodes	Cost
0	96	823
1	290	766
2	1223	704
done	5001	704

prune207.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (pow x 3) (+ (* 5.551115123125783e-17 x) 0.33333333333333337))
1.0b	(log (exp (* (pow x 3) (+ (* 5.551115123125783e-17 x) 0.33333333333333337))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

55.0ms	(* (pow x 3) (+ (* 5.551115123125783e-17 x) 0.33333333333333337))
9.0ms	(log (exp (* (pow x 3) (+ (* 5.551115123125783e-17 x) 0.33333333333333337))))

series261.0ms

Counts

2 → 6

Calls

2 calls:

121.0ms	(* (pow x 3) (+ (* 5.551115123125783e-17 x) 0.33333333333333337))
140.0ms	(log (exp (* (pow x 3) (+ (* 5.551115123125783e-17 x) 0.33333333333333337))))

simplify4.3s

Counts

57 → 57

Iterations

Useful iterations: 2 (195.0ms)

Iter	Nodes	Cost
0	94	762
1	241	693
2	954	621
3	4575	621
done	5001	621

prune138.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes262.0ms

Accuracy

99.1% (0.3b remaining)

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

bsearch2.0ms

simplify10.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	28	89
1	38	58
done	38	58

end0.0ms

sample1.8s

Algorithm

intervals

Results

962.0ms	1700×	body	1280	valid
233.0ms	1280×	body	640	valid
225.0ms	4031×	body	80	valid
79.0ms	643×	body	320	valid
27.0ms	346×	body	160	valid