Details

sample80.0ms

Algorithm

intervals

Results

34.0ms	79×	body	1280	valid
12.0ms	181×	body	80	valid
10.0ms	33×	body	640	valid
6.0ms	29×	body	320	valid
3.0ms	19×	body	160	valid

simplify5.8s

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.8b

localize9.0ms

Local error

Found 1 expressions with local error:

5.3b	(- (exp (* a x)) 1)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 17

Calls

1 calls:

19.0ms

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

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify1.4s

Counts

20 → 20

Iterations

Iter	Nodes
4	2847
3	848
2	269
1	105
0	48

prune146.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a x) (* (* a x) (* a x)))
0.2b	(* (* a x) (* (* a x) 1/2))
0.2b	(* (* a x) (* a x))
10.8b	(+ (* (* (* a x) (* (* a x) (* a x))) 1/6) (* (* a x) (* (* a x) 1/2)))

rewrite470.0ms

Algorithm

rewrite-expression-head

Rules

192×	`pow1`
92×	`pow-prod-down`
78×	`add-cbrt-cube` `add-exp-log`
54×	`prod-exp` `cbrt-unprod`
34×	`pow-prod-up`
12×	`pow-sqr`
6×	`pow-plus` `add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16`
3×	`pow2` `associate-r` `associate-l` `*-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `cube-unmult` `swap-sqr` `flip-+`

Counts

4 → 140

Calls

4 calls:

89.0ms	(* (* a x) (* (* a x) (* a x)))
52.0ms	(* (* a x) (* (* a x) 1/2))
23.0ms	(* (* a x) (* a x))
301.0ms	(+ (* (* (* a x) (* (* a x) (* a x))) 1/6) (* (* a x) (* (* a x) 1/2)))

series354.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* (* a x) (* (* a x) (* a x)))
47.0ms	(* (* a x) (* (* a x) 1/2))
35.0ms	(* (* a x) (* a x))
166.0ms	(+ (* (* (* a x) (* (* a x) (* a x))) 1/6) (* (* a x) (* (* a x) 1/2)))

simplify10.4s

Counts

152 → 152

Iterations

Iter	Nodes
3	13395
2	1588
1	405
0	136

prune478.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* (exp (* a x)) (exp (* a x))) 1) (exp (* a x)))
0.0b	(* (exp (* a x)) (exp (* a x)))
0.3b	(* (* a x) 3)
5.1b	(+ (exp (* (* a x) 3)) -1)

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-log-exp`
16×	`pow1`
13×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `exp-prod` `exp-to-pow`
11×	`add-cbrt-cube`
9×	`add-exp-log` `add-cube-cbrt`
8×	`pow-prod-down`
6×	`associate-r`
5×	`pow-sqr` `pow-prod-up`
4×	`sum-log` `associate-l` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`swap-sqr`
2×	`+-commutative` `flip3-+` `*-commutative` `flip-+` `distribute-lft-out`
1×	`pow2` `difference-of-sqr--1` `associate-+l+` `pow-plus` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

73.0ms	(+ (+ (* (exp (* a x)) (exp (* a x))) 1) (exp (* a x)))
25.0ms	(* (exp (* a x)) (exp (* a x)))
34.0ms	(* (* a x) 3)
19.0ms	(+ (exp (* (* a x) 3)) -1)

series199.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ (+ (* (exp (* a x)) (exp (* a x))) 1) (exp (* a x)))
35.0ms	(* (exp (* a x)) (exp (* a x)))
33.0ms	(* (* a x) 3)
72.0ms	(+ (exp (* (* a x) 3)) -1)

simplify3.7s

Counts

98 → 98

Iterations

Iter	Nodes
3	5229
2	1396
1	384
0	146

prune729.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a x) (* a x))
0.2b	(* (* a x) (* a x))
0.3b	(* (* a x) 3)
10.8b	(+ (* (* a x) (* a x)) (* (* (* a x) (* a x)) (* a x)))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

87×	`pow1`
37×	`pow-prod-down`
33×	`add-cbrt-cube` `add-exp-log`
19×	`prod-exp` `cbrt-unprod`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`pow-plus` `insert-posit16`
3×	`associate-l` `*-commutative`
2×	`pow2` `swap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `distribute-rgt-out` `flip-+`

Counts

4 → 102

Calls

4 calls:

38.0ms	(* (* a x) (* a x))
24.0ms	(* (* a x) (* a x))
23.0ms	(* (* a x) 3)
50.0ms	(+ (* (* a x) (* a x)) (* (* (* a x) (* a x)) (* a x)))

series304.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (* a x) (* a x))
52.0ms	(* (* a x) (* a x))
41.0ms	(* (* a x) 3)
154.0ms	(+ (* (* a x) (* a x)) (* (* (* a x) (* a x)) (* a x)))

simplify6.9s

Counts

114 → 114

Iterations

Iter	Nodes
3	8310
2	1057
1	265
0	89

prune549.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes185.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 21.1b

bsearch42.0ms

Steps

Iters	Range		Point
8	-0.017728086058562496	-4.068514108213113e-06	-8.997847041171635e-05

simplify6.0ms

Iterations

Iter	Nodes
2	46
1	46
0	33

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s	2712×	body	1280	valid
334.0ms	1305×	body	640	valid
333.0ms	5348×	body	80	valid
129.0ms	771×	body	320	valid
46.0ms	424×	body	160	valid