Details

sample67.0ms

Algorithm

intervals

Results

29.0ms	85×	body	1280	valid
10.0ms	182×	body	80	valid
10.0ms	39×	body	640	valid
4.0ms	26×	body	320	valid
2.0ms	14×	body	160	valid

simplify5.7s

Counts

1 → 1

Iterations

Iter	Nodes
8	6498
7	1279
6	374
5	133
4	54
3	27
2	17
1	12
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
3.8b	(- (exp (* a x)) 1)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-log-exp`
5×	`*-un-lft-identity`
2×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `difference-of-squares`
1×	`exp-prod` `sub-neg` `flip3--` `exp-to-pow` `diff-log` `difference-of-sqr-1` `flip--` `distribute-lft-out--` `rem-exp-log`

Counts

2 → 28

Calls

2 calls:

4.0ms	(exp (* a x))
13.0ms	(- (exp (* a x)) 1)

series53.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(exp (* a x))
39.0ms	(- (exp (* a x)) 1)

simplify1.7s

Counts

34 → 34

Iterations

Iter	Nodes
4	3072
3	882
2	295
1	115
0	56

prune154.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a x) (* (* a x) 1/2))
0.2b	(* (* a x) (* a x))
5.0b	(+ (* (* a x) (* (* a x) 1/2)) (* a x))
11.8b	(+ (+ (* (* a x) (* (* a x) 1/2)) (* a x)) (* (* (* (* a x) (* a x)) (* a x)) 1/6))

rewrite576.0ms

Algorithm

rewrite-expression-head

Rules

64×	`pow1`
37×	`add-cbrt-cube` `add-exp-log`
32×	`pow-prod-down`
23×	`prod-exp` `cbrt-unprod`
11×	`add-log-exp`
4×	`add-sqr-sqrt` `sum-log` `*-un-lft-identity` `pow-sqr` `pow-prod-up` `add-cube-cbrt` `insert-posit16`
2×	`+-commutative` `flip3-+` `pow-plus` `associate-r` `associate-l` `*-commutative` `flip-+`
1×	`pow2` `associate-+l+` `swap-sqr`

Counts

4 → 90

Calls

4 calls:

57.0ms	(* (* a x) (* (* a x) 1/2))
33.0ms	(* (* a x) (* a x))
46.0ms	(+ (* (* a x) (* (* a x) 1/2)) (* a x))
438.0ms	(+ (+ (* (* a x) (* (* a x) 1/2)) (* a x)) (* (* (* (* a x) (* a x)) (* a x)) 1/6))

series318.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (* a x) (* (* a x) 1/2))
36.0ms	(* (* a x) (* a x))
88.0ms	(+ (* (* a x) (* (* a x) 1/2)) (* a x))
134.0ms	(+ (+ (* (* a x) (* (* a x) 1/2)) (* a x)) (* (* (* (* a x) (* a x)) (* a x)) 1/6))

simplify8.4s

Counts

102 → 102

Iterations

Iter	Nodes
3	12932
2	1526
1	366
0	125

prune319.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* (* 3 a) x))
0.0b	(/ (+ -1 (exp (* (* 3 a) x))) (+ (* (exp (* a x)) (exp (* a x))) (+ (exp (* a x)) 1)))
0.2b	(* (* 3 a) x)
3.7b	(+ -1 (exp (* (* 3 a) x)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
11×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
8×	`add-log-exp`
5×	`distribute-lft-out`
4×	`insert-posit16` `associate-/l*`
3×	`associate-/r` `flip3-+` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `exp-prod` `clear-num` `sum-log` `frac-2neg` `exp-to-pow` `div-exp` `associate-l` `*-commutative` `div-inv` `rem-exp-log`

Counts

4 → 79

Calls

4 calls:

16.0ms	(exp (* (* 3 a) x))
81.0ms	(/ (+ -1 (exp (* (* 3 a) x))) (+ (* (exp (* a x)) (exp (* a x))) (+ (exp (* a x)) 1)))
14.0ms	(* (* 3 a) x)
14.0ms	(+ -1 (exp (* (* 3 a) x)))

series205.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(exp (* (* 3 a) x))
98.0ms	(/ (+ -1 (exp (* (* 3 a) x))) (+ (* (exp (* a x)) (exp (* a x))) (+ (exp (* a x)) 1)))
28.0ms	(* (* 3 a) x)
58.0ms	(+ -1 (exp (* (* 3 a) x)))

simplify6.4s

Counts

91 → 91

Iterations

Iter	Nodes
3	6489
2	1624
1	392
0	151

prune395.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* 3 (* a x)))
0.0b	(/ (- (exp (* 3 (* a x))) 1) (+ 1 (* (+ (exp (* a x)) 1) (exp (* a x)))))
0.2b	(* 3 (* a x))
3.7b	(- (exp (* 3 (* a x))) 1)

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
21×	`times-frac`
17×	`add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
10×	`difference-of-squares`
9×	`pow1`
8×	`add-log-exp`
7×	`associate-/l*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`insert-posit16`
3×	`associate-/r` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `exp-prod` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `exp-to-pow` `diff-log` `div-sub` `div-exp` `associate-r` `*-commutative` `flip-+` `div-inv` `rem-exp-log`

Counts

4 → 96

Calls

4 calls:

9.0ms	(exp (* 3 (* a x)))
76.0ms	(/ (- (exp (* 3 (* a x))) 1) (+ 1 (* (+ (exp (* a x)) 1) (exp (* a x)))))
22.0ms	(* 3 (* a x))
28.0ms	(- (exp (* 3 (* a x))) 1)

series233.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(exp (* 3 (* a x)))
131.0ms	(/ (- (exp (* 3 (* a x))) 1) (+ 1 (* (+ (exp (* a x)) 1) (exp (* a x)))))
34.0ms	(* 3 (* a x))
49.0ms	(- (exp (* 3 (* a x))) 1)

simplify3.1s

Counts

108 → 108

Iterations

Iter	Nodes
3	4441
2	1214
1	395
0	164

prune532.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes374.0ms

Accuracy

98.5% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 21.5b

bsearch1.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	36
1	36
0	25

end0.0ms

sample2.6s

Algorithm

intervals

Results

969.0ms	2653×	body	1280	valid
805.0ms	1332×	body	640	valid
311.0ms	5488×	body	80	valid
179.0ms	758×	body	320	valid
76.0ms	393×	body	160	valid