Details

sample34.0ms

Algorithm

intervals

Results

13.0ms	65×	body	1280	valid
5.0ms	37×	body	640	valid
3.0ms	119×	body	80	valid
3.0ms	26×	body	320	valid
1.0ms	9×	body	160	valid

simplify2.2s

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: 32.3b

localize7.0ms

Local error

Found 1 expressions with local error:

2.5b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
3×	`*-un-lft-identity` `add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `times-frac` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`

Counts

1 → 15

Calls

1 calls:

67.0ms

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

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

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

simplify1.3s

Counts

18 → 18

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	55	302
1	119	299
2	246	275
3	596	268
4	1692	268
done	5000	266

prune42.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`associate-l`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
7×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`*-commutative` `add-log-exp`
2×	`sub-neg` `flip3-+` `flip-+` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

3 → 70

Calls

3 calls:

15.0ms	(* x (+ 0.33333333333333337 (* 5.551115123125783e-17 x)))
16.0ms	(* x (- 1.0 (* x (* x (+ 0.33333333333333337 (* 5.551115123125783e-17 x))))))
26.0ms	(* x (* x (+ 0.33333333333333337 (* 5.551115123125783e-17 x))))

series203.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(* x (+ 0.33333333333333337 (* 5.551115123125783e-17 x)))
67.0ms	(* x (- 1.0 (* x (* x (+ 0.33333333333333337 (* 5.551115123125783e-17 x))))))
72.0ms	(* x (* x (+ 0.33333333333333337 (* 5.551115123125783e-17 x))))

simplify1.0s

Counts

79 → 79

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	121	1064
1	314	1021
2	1102	889
done	5000	883

prune130.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ 0.33333333333333337 (* 5.551115123125783e-17 x)))
0.1b	(* x (* x (+ 0.33333333333333337 (* 5.551115123125783e-17 x))))
0.8b	(log (exp (* x (* x (+ 0.33333333333333337 (* 5.551115123125783e-17 x))))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-exp-log` `add-cbrt-cube`
9×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in`
7×	`add-cube-cbrt` `log-prod` `*-un-lft-identity`
6×	`associate-r/` `associate-l*`
4×	`associate-r` `exp-sum` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`log-pow`
2×	`flip3-+` `*-commutative` `flip-+`
1×	`exp-prod` `exp-to-pow` `rem-log-exp` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

15.0ms	(* x (+ 0.33333333333333337 (* 5.551115123125783e-17 x)))
25.0ms	(* x (* x (+ 0.33333333333333337 (* 5.551115123125783e-17 x))))
5.0ms	(log (exp (* x (* x (+ 0.33333333333333337 (* 5.551115123125783e-17 x))))))

series206.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(* x (+ 0.33333333333333337 (* 5.551115123125783e-17 x)))
70.0ms	(* x (* x (+ 0.33333333333333337 (* 5.551115123125783e-17 x))))
71.0ms	(log (exp (* x (* x (+ 0.33333333333333337 (* 5.551115123125783e-17 x))))))

simplify2.0s

Counts

73 → 73

Iterations

Useful iterations: 2 (147.0ms)

Iter	Nodes	Cost
0	111	900
1	255	835
2	871	705
3	3744	705
done	5001	705

prune143.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes169.0ms

Accuracy

99.5% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 32.1b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	25	47
1	35	38
done	35	38

end0.0ms

sample921.0ms

Algorithm

intervals

Results

363.0ms	1763×	body	1280	valid
169.0ms	1226×	body	640	valid
103.0ms	4084×	body	80	valid
60.0ms	618×	body	320	valid
18.0ms	309×	body	160	valid