Details

sample54.0ms

Algorithm

intervals

Results

19.0ms	86×	body	1280	valid
14.0ms	88×	body	10240	exit
8.0ms	54×	body	640	valid
3.0ms	35×	body	320	valid
2.0ms	66×	body	80	valid
1.0ms	15×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp x) (- (exp x) 1))
4.6b	(- (exp x) 1)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
21×	`times-frac`
14×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`associate-/r*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 63

Calls

2 calls:

31.0ms	(/ (exp x) (- (exp x) 1))
10.0ms	(- (exp x) 1)

series42.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (exp x) (- (exp x) 1))
16.0ms	(- (exp x) 1)

simplify1.7s

Counts

69 → 69

Iterations

Iter	Nodes
done	5010
3	1632
2	502
1	203
0	101

prune324.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (exp x) (+ x (* (* x x) (+ (* x 1/6) 1/2))))
0.1b	(* (* x x) (+ (* x 1/6) 1/2))
0.4b	(* x 1/6)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`add-cbrt-cube`
11×	`add-exp-log`
10×	`pow1`
9×	`times-frac`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`associate-/r` `insert-posit16` `associate-/l` `add-log-exp`
2×	`flip3-+` `associate-r/` `associate-/r/` `-commutative` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `div-exp` `div-inv`

Counts

3 → 73

Calls

3 calls:

15.0ms	(/ (exp x) (+ x (* (* x x) (+ (* x 1/6) 1/2))))
55.0ms	(* (* x x) (+ (* x 1/6) 1/2))
7.0ms	(* x 1/6)

series183.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (exp x) (+ x (* (* x x) (+ (* x 1/6) 1/2))))
114.0ms	(* (* x x) (+ (* x 1/6) 1/2))
27.0ms	(* x 1/6)

simplify1.5s

Counts

82 → 82

Iterations

Iter	Nodes
done	5018
2	1573
1	432
0	153

prune341.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (+ x (* (* x x) (+ (* x 1/6) 1/2)))))
0.0b	(* (cbrt (exp x)) (cbrt (exp x)))
0.1b	(* (* x x) (+ (* x 1/6) 1/2))
0.4b	(* x 1/6)

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
36×	`associate-r`
28×	`*-un-lft-identity` `add-cube-cbrt`
26×	`cbrt-prod`
25×	`add-exp-log`
23×	`pow1`
20×	`times-frac`
17×	`add-cbrt-cube`
11×	`associate-l` `prod-exp` `cbrt-unprod`
9×	`pow-prod-down` `unswap-sqr`
6×	`pow1/3` `swap-sqr`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`associate-*r/`
2×	`cbrt-undiv` `flip3-+` `div-exp` `associate-/r/` `pow-sqr` `pow-prod-up` `flip-+`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `div-inv`

Counts

4 → 132

Calls

4 calls:

54.0ms	(* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (+ x (* (* x x) (+ (* x 1/6) 1/2)))))
29.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
73.0ms	(* (* x x) (+ (* x 1/6) 1/2))
7.0ms	(* x 1/6)

series356.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (+ x (* (* x x) (+ (* x 1/6) 1/2)))))
164.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
108.0ms	(* (* x x) (+ (* x 1/6) 1/2))
17.0ms	(* x 1/6)

simplify2.1s

Counts

144 → 144

Iterations

Iter	Nodes
done	5006
2	2577
1	735
0	233

prune634.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1)))
0.0b	(/ (exp x) (- (exp (* 3 x)) 1))
0.0b	(* (/ (exp x) (- (exp (* 3 x)) 1)) (+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1))))
4.6b	(- (exp (* 3 x)) 1)

rewrite454.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
43×	`times-frac`
28×	`add-cube-cbrt`
27×	`associate-l`
16×	`difference-of-squares`
11×	`add-cbrt-cube` `add-log-exp`
9×	`add-exp-log`
8×	`difference-of-sqr-1` `distribute-lft-out--`
7×	`associate-/r*`
6×	`pow1`
4×	`associate-/r/` `insert-posit16`
3×	`sum-log` `flip3-+` `flip3--` `associate-r` `flip-+` `flip--` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `associate-+r+` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 130

Calls

4 calls:

67.0ms	(+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1)))
28.0ms	(/ (exp x) (- (exp (* 3 x)) 1))
339.0ms	(* (/ (exp x) (- (exp (* 3 x)) 1)) (+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1))))
13.0ms	(- (exp (* 3 x)) 1)

series238.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1)))
51.0ms	(/ (exp x) (- (exp (* 3 x)) 1))
125.0ms	(* (/ (exp x) (- (exp (* 3 x)) 1)) (+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1))))
32.0ms	(- (exp (* 3 x)) 1)

simplify2.5s

Counts

142 → 142

Iterations

Iter	Nodes
done	5006
2	3907
1	685
0	196

prune570.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.5b remaining)

Error of 0.9b against oracle of 0.4b and baseline of 0.9b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	2632×	body	10240	exit
965.0ms	2277×	body	1280	valid
387.0ms	1637×	body	640	valid
158.0ms	2860×	body	80	valid
118.0ms	821×	body	320	valid
38.0ms	406×	body	160	valid