Details

sample64.0ms

Algorithm

intervals

Results

26.0ms	82×	body	1280	valid
11.0ms	38×	body	640	valid
8.0ms	185×	body	80	valid
4.0ms	26×	body	320	valid
2.0ms	15×	body	160	valid

simplify6.2s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(exp (* a x))
4.1b	(- (exp (* a x)) 1)

rewrite16.0ms

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))
11.0ms	(- (exp (* a x)) 1)

series55.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(exp (* a x))
41.0ms	(- (exp (* a x)) 1)

simplify1.6s

Counts

34 → 34

Iterations

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

prune312.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a x) (* (* a x) 1/2))
0.2b	(* (* a x) (* a x))
4.2b	(+ (* (* a x) (* (* a x) 1/2)) (* a x))
12.1b	(+ (+ (* (* a x) (* (* a x) 1/2)) (* a x)) (* (* (* (* a x) (* a x)) (* a x)) 1/6))

rewrite586.0ms

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:

61.0ms	(* (* a x) (* (* a x) 1/2))
43.0ms	(* (* a x) (* a x))
67.0ms	(+ (* (* a x) (* (* a x) 1/2)) (* a x))
414.0ms	(+ (+ (* (* a x) (* (* a x) 1/2)) (* a x)) (* (* (* (* a x) (* a x)) (* a x)) 1/6))

series322.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* a x) (* (* a x) 1/2))
45.0ms	(* (* a x) (* a x))
87.0ms	(+ (* (* a x) (* (* a x) 1/2)) (* a x))
139.0ms	(+ (+ (* (* a x) (* (* a x) 1/2)) (* a x)) (* (* (* (* a x) (* a x)) (* a x)) 1/6))

simplify8.0s

Counts

102 → 102

Iterations

Iter	Nodes
3	12932
2	1526
1	366
0	125

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (* a x))
0.1b	(exp (* a x))
0.2b	(* (* 3 a) x)
4.0b	(+ -1 (exp (* (* 3 a) x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`insert-posit16`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`exp-prod` `exp-to-pow` `rem-exp-log`
1×	`+-commutative` `sum-log` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 54

Calls

4 calls:

4.0ms	(exp (* a x))
4.0ms	(exp (* a x))
23.0ms	(* (* 3 a) x)
11.0ms	(+ -1 (exp (* (* 3 a) x)))

series136.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(exp (* a x))
14.0ms	(exp (* a x))
29.0ms	(* (* 3 a) x)
71.0ms	(+ -1 (exp (* (* 3 a) x)))

simplify1.4s

Counts

66 → 66

Iterations

Iter	Nodes
3	2556
2	776
1	230
0	91

prune770.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))
0.1b	(exp (* a x))
0.1b	(exp (* a x))
4.2b	(- (sqrt (exp (* a x))) 1)

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
11×	`associate-r`
10×	`add-log-exp`
9×	`sqrt-prod`
8×	`difference-of-squares`
6×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
5×	`associate-l`
4×	`frac-times` `flip3--` `difference-of-sqr-1` `insert-posit16` `flip--` `distribute-lft-out--`
3×	`sub-neg` `flip3-+` `flip-+`
2×	`distribute-rgt-in` `exp-prod` `distribute-lft-in` `exp-to-pow` `associate-l/` `associate-r/` `distribute-lft-out` `rem-exp-log`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

127.0ms	(* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))
8.0ms	(exp (* a x))
8.0ms	(exp (* a x))
19.0ms	(- (sqrt (exp (* a x))) 1)

series247.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))
14.0ms	(exp (* a x))
21.0ms	(exp (* a x))
82.0ms	(- (sqrt (exp (* a x))) 1)

simplify3.2s

Counts

96 → 96

Iterations

Iter	Nodes
3	4436
2	1300
1	311
0	113

prune823.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes274.0ms

Accuracy

98.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.3b

bsearch1.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	30
1	30
0	21

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.2s	2699×	body	1280	valid
795.0ms	1286×	body	640	valid
446.0ms	5500×	body	80	valid
144.0ms	786×	body	320	valid
50.0ms	413×	body	160	valid