Details

sample149.0ms

Algorithm

intervals

Results

57.0ms	105×	body	1280	valid
36.0ms	239×	body	80	valid
28.0ms	72×	body	640	valid
12.0ms	50×	body	320	valid
3.0ms	18×	body	160	valid

simplify49.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	38
6	38
5	37
4	35
3	31
2	24
1	14
0	7

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize14.0ms

Local error

Found 1 expressions with local error:

6.4b	(- (exp x) (exp (- x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

13.0ms

(- (exp x) (exp (- x)))

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(- (exp x) (exp (- x)))

simplify1.8s

Counts

18 → 18

Iterations

Iter	Nodes
done	5000
4	1932
3	723
2	277
1	111
0	47

prune89.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ (* 1/3 (* x x)) 2))
0.1b	(* 1/60 (pow x 5))
0.2b	(* 1/3 (* x x))

rewrite448.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
30×	`associate-r`
18×	`*-un-lft-identity`
15×	`add-exp-log`
14×	`add-cube-cbrt`
13×	`associate-l`
12×	`pow1` `add-cbrt-cube`
11×	`unswap-sqr`
7×	`prod-exp`
5×	`pow-prod-down` `*-commutative` `cbrt-unprod`
4×	`unpow-prod-down` `swap-sqr`
3×	`insert-posit16` `add-log-exp`
2×	`distribute-rgt-in` `+-commutative` `distribute-lft-in` `associate-*r/` `distribute-lft-out` `sqr-pow`
1×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+`

Counts

3 → 92

Calls

3 calls:

399.0ms	(* x (+ (* 1/3 (* x x)) 2))
20.0ms	(* 1/60 (pow x 5))
27.0ms	(* 1/3 (* x x))

series207.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(* x (+ (* 1/3 (* x x)) 2))
68.0ms	(* 1/60 (pow x 5))
32.0ms	(* 1/3 (* x x))

simplify1.1s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1229
1	420
0	143

prune342.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 1/60 (pow x 5))
0.1b	(* x (* 1/3 (* x x)))
0.2b	(* 1/3 (* x x))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

71×	`associate-r`
66×	`add-sqr-sqrt`
29×	`unswap-sqr`
22×	`add-exp-log`
20×	`*-un-lft-identity` `add-cube-cbrt`
19×	`pow1` `add-cbrt-cube`
18×	`associate-l`
12×	`prod-exp`
10×	`pow-prod-down` `cbrt-unprod`
9×	`swap-sqr` `*-commutative`
4×	`unpow-prod-down`
3×	`insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

3 → 120

Calls

3 calls:

14.0ms	(* 1/60 (pow x 5))
97.0ms	(* x (* 1/3 (* x x)))
32.0ms	(* 1/3 (* x x))

series165.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(* 1/60 (pow x 5))
63.0ms	(* x (* 1/3 (* x x)))
39.0ms	(* 1/3 (* x x))

simplify2.9s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
3	4289
2	1199
1	419
0	151

prune488.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (exp x))
0.0b	(* (exp x) (exp x))
0.3b	(/ (+ (exp (* x 3)) (/ -1 (exp (* x 3)))) (+ (/ 1 (* (exp x) (exp x))) (+ 1 (* (exp x) (exp x)))))
6.8b	(+ (exp (* x 3)) (/ -1 (exp (* x 3))))

rewrite710.0ms

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
61×	`distribute-lft-out`
59×	`add-sqr-sqrt`
51×	`add-cube-cbrt`
44×	`associate-/r/`
42×	`frac-add`
39×	`associate-/r*`
36×	`exp-prod` `times-frac`
24×	`flip3-+` `flip-+`
22×	`associate-l`
18×	`pow1`
16×	`div-inv`
14×	`add-exp-log`
12×	`swap-sqr` `associate-r`
10×	`add-cbrt-cube` `associate-/l*`
8×	`pow-prod-down` `prod-exp` `pow-sqr` `pow-prod-up`
6×	`add-log-exp`
4×	`*-commutative` `insert-posit16` `unswap-sqr`
3×	`clear-num` `frac-2neg`
2×	`pow2` `pow-plus` `cbrt-unprod` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sum-log` `div-exp`

Counts

4 → 197

Calls

4 calls:

28.0ms	(* (exp x) (exp x))
18.0ms	(* (exp x) (exp x))
556.0ms	(/ (+ (exp (* x 3)) (/ -1 (exp (* x 3)))) (+ (/ 1 (* (exp x) (exp x))) (+ 1 (* (exp x) (exp x)))))
93.0ms	(+ (exp (* x 3)) (/ -1 (exp (* x 3))))

series299.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (exp x) (exp x))
14.0ms	(* (exp x) (exp x))
196.0ms	(/ (+ (exp (* x 3)) (/ -1 (exp (* x 3)))) (+ (/ 1 (* (exp x) (exp x))) (+ 1 (* (exp x) (exp x)))))
63.0ms	(+ (exp (* x 3)) (/ -1 (exp (* x 3))))

simplify2.8s

Counts

209 → 209

Iterations

Iter	Nodes
done	5008
2	3595
1	987
0	316

prune849.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	20
1	20
0	14

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.8s	3382×	body	1280	valid
1.1s	2430×	body	640	valid
688.0ms	7766×	body	80	valid
373.0ms	1259×	body	320	valid
143.0ms	660×	body	160	valid