Details

sample95.0ms

Algorithm

intervals

Results

33.0ms	220×	body	10240	exit
31.0ms	108×	body	1280	valid
13.0ms	77×	body	640	valid
5.0ms	41×	body	320	valid
1.0ms	18×	body	160	valid
0.0ms	12×	body	80	valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	15	13
2	25	13
3	31	13
4	42	13
5	52	13
6	55	13
7	87	13
8	100	13
9	136	13
10	201	13
11	355	13
12	892	13
13	2913	13
done	5000	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.8b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.2b	(- (exp x) (exp (- x)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

12.0ms	(+ (exp x) (exp (- x)))
52.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
13.0ms	(- (exp x) (exp (- x)))

series140.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ (exp x) (exp (- x)))
72.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
41.0ms	(- (exp x) (exp (- x)))

simplify1.0s

Counts

82 → 82

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	117	1385
1	279	1333
2	714	1237
3	1755	1231
done	5001	1223

prune156.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `tanh-def` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(tanh x)

series81.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

(tanh x)

simplify1.4s

Counts

13 → 13

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	42	107
1	89	83
2	194	79
3	549	79
4	2651	79
done	5001	79

prune23.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
0.1b	(* 2/15 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-log-exp`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `diff-log` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`cube-mult` `sub-neg` `flip3--` `unpow3` `associate--l+` `sum-log` `flip--`

Counts

3 → 70

Calls

3 calls:

30.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
14.0ms	(* 2/15 (pow x 5))
13.0ms	(* 1/3 (pow x 3))

series143.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
48.0ms	(* 2/15 (pow x 5))
39.0ms	(* 1/3 (pow x 3))

simplify2.2s

Counts

79 → 79

Iterations

Useful iterations: 3 (647.0ms)

Iter	Nodes	Cost
0	121	815
1	280	726
2	826	684
3	4113	675
done	5001	675

prune148.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) -2)
0.7b	(/ (- (exp (+ x x)) (pow (exp x) -2)) (+ (exp (- x)) (exp x)))
0.8b	(/ (/ (- (exp (+ x x)) (pow (exp x) -2)) (+ (exp (- x)) (exp x))) (+ (exp x) (exp (- x))))
5.2b	(- (exp (+ x x)) (pow (exp x) -2))

rewrite417.0ms

Algorithm

rewrite-expression-head

Rules

424×	`times-frac`
413×	`*-un-lft-identity`
327×	`add-sqr-sqrt`
156×	`difference-of-squares`
145×	`add-cube-cbrt`
108×	`distribute-lft-out`
78×	`exp-sum`
56×	`associate-/l*`
55×	`unpow-prod-down`
53×	`sqr-pow`
26×	`distribute-lft-out--`
14×	`associate-/r/`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r*`
7×	`flip3-+` `flip-+` `div-inv`
6×	`add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `pow-pow` `div-exp`
3×	`pow-unpow` `exp-prod` `div-sub` `associate-/l/`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`pow-to-exp` `sub-neg` `diff-log` `pow-exp`

Counts

4 → 362

Calls

4 calls:

4.0ms	(pow (exp x) -2)
146.0ms	(/ (- (exp (+ x x)) (pow (exp x) -2)) (+ (exp (- x)) (exp x)))
182.0ms	(/ (/ (- (exp (+ x x)) (pow (exp x) -2)) (+ (exp (- x)) (exp x))) (+ (exp x) (exp (- x))))
57.0ms	(- (exp (+ x x)) (pow (exp x) -2))

series295.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(pow (exp x) -2)
99.0ms	(/ (- (exp (+ x x)) (pow (exp x) -2)) (+ (exp (- x)) (exp x)))
120.0ms	(/ (/ (- (exp (+ x x)) (pow (exp x) -2)) (+ (exp (- x)) (exp x))) (+ (exp x) (exp (- x))))
57.0ms	(- (exp (+ x x)) (pow (exp x) -2))

simplify1.4s

Counts

374 → 374

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	466	13127
1	1114	12148
2	2782	11098
done	5000	10137

prune673.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes13.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
done	2	2

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.2s	7384×	body	10240	exit
989.0ms	3355×	body	1280	valid
425.0ms	2389×	body	640	valid
138.0ms	1215×	body	320	valid
42.0ms	627×	body	160	valid
15.0ms	414×	body	80	valid