Details

sample107.0ms

Algorithm

intervals

Results

45.0ms	104×	body	1280	valid
22.0ms	82×	body	640	valid
12.0ms	269×	body	80	valid
7.0ms	42×	body	320	valid
2.0ms	19×	body	160	valid

simplify17.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	24	8
3	30	8
4	34	8
done	34	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize25.0ms

Local error

Found 1 expressions with local error:

6.5b	(- (exp x) (exp (- x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

21.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify792.0ms

Counts

17 → 17

Iterations

Useful iterations: 3 (231.0ms)

Iter	Nodes	Cost
0	46	185
1	109	176
2	330	158
3	1317	157
done	5001	157

prune67.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`cube-mult` `associate-+r+` `unpow3`

Counts

4 → 80

Calls

4 calls:

11.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
25.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
18.0ms	(* 1/60 (pow x 5))
20.0ms	(* 1/3 (pow x 3))

series365.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
82.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
57.0ms	(* 1/60 (pow x 5))
45.0ms	(* 1/3 (pow x 3))

simplify948.0ms

Counts

92 → 92

Iterations

Useful iterations: done (944.0ms)

Iter	Nodes	Cost
0	137	1055
1	388	917
2	1661	873
done	5002	872

prune319.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp (- x)) (exp x)))
6.7b	(- (exp (+ x x)) (exp (* x -2)))

rewrite355.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
24×	`times-frac`
14×	`add-cube-cbrt`
12×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`exp-sum` `associate-/l*` `distribute-lft-out--`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 66

Calls

2 calls:

237.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp (- x)) (exp x)))
114.0ms	(- (exp (+ x x)) (exp (* x -2)))

series159.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp (- x)) (exp x)))
62.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify1.3s

Counts

72 → 72

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	136	1662
1	351	1615
2	1514	1485
done	5000	1452

prune285.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (+ (exp (- x)) (exp x)))
1.0b	(cbrt (+ (exp (- x)) (exp x)))
1.0b	(cbrt (+ (exp (- x)) (exp x)))
6.7b	(- (exp (+ x x)) (exp (* x -2)))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
12×	`cbrt-prod`
10×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
2×	`difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `exp-sum` `flip--` `distribute-lft-out--`

Counts

4 → 57

Calls

4 calls:

22.0ms	(cbrt (+ (exp (- x)) (exp x)))
13.0ms	(cbrt (+ (exp (- x)) (exp x)))
18.0ms	(cbrt (+ (exp (- x)) (exp x)))
110.0ms	(- (exp (+ x x)) (exp (* x -2)))

series742.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (+ (exp (- x)) (exp x)))
245.0ms	(cbrt (+ (exp (- x)) (exp x)))
261.0ms	(cbrt (+ (exp (- x)) (exp x)))
61.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify683.0ms

Counts

69 → 69

Iterations

Useful iterations: done (681.0ms)

Iter	Nodes	Cost
0	102	964
1	243	913
2	932	787
done	5000	762

prune429.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	20	17
done	20	17

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.8s	3365×	body	1280	valid
1.0s	8094×	body	80	valid
869.0ms	2513×	body	640	valid
416.0ms	1252×	body	320	valid
73.0ms	599×	body	160	valid