Details

sample102.0ms

Algorithm

intervals

Results

36.0ms	240×	body	10240	exit
34.0ms	106×	body	1280	valid
12.0ms	69×	body	640	valid
5.0ms	49×	body	320	valid
1.0ms	17×	body	160	valid
1.0ms	15×	body	80	valid

simplify44.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	9
1	24	9
2	32	9
3	44	9
4	59	9
5	174	9
6	1153	9
7	5001	9
done	5001	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.5b

localize7.0ms

Local error

Found 2 expressions with local error:

1.3b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
4.7b	(- (exp x) (exp (- x)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
20×	`times-frac`
13×	`add-cube-cbrt`
6×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
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` `tanh-undef` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 61

Calls

2 calls:

51.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
13.0ms	(- (exp x) (exp (- x)))

series116.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
37.0ms	(- (exp x) (exp (- x)))

simplify105.0ms

Counts

67 → 67

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	252	836
1	806	782
2	3319	775
3	5002	775
done	5002	775

prune137.0ms

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)

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(tanh x)

simplify71.0ms

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	91	48
1	195	45
2	599	45
3	2891	45
4	5002	45
done	5002	45

prune22.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
0.0b	(+ x (* 2/15 (pow x 5)))
0.1b	(* 2/15 (pow x 5))
0.2b	(* 1/3 (pow x 3))

rewrite62.0ms

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` `sqr-pow`
2×	`pow-to-exp` `diff-log` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `sub-neg` `flip3--` `flip3-+` `unpow3` `associate--l+` `flip--` `flip-+`

Counts

4 → 81

Calls

4 calls:

29.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
8.0ms	(+ x (* 2/15 (pow x 5)))
11.0ms	(* 2/15 (pow x 5))
12.0ms	(* 1/3 (pow x 3))

series257.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
117.0ms	(+ x (* 2/15 (pow x 5)))
47.0ms	(* 2/15 (pow x 5))
40.0ms	(* 1/3 (pow x 3))

simplify46.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	314	427
1	1376	401
2	5001	396
done	5001	396

prune177.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (exp x) (exp (- x)))
1.2b	(/ (- (exp x) (exp (- x))) (+ (pow (exp x) 3) (pow (exp (- x)) 3)))
4.7b	(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))
4.7b	(- (exp x) (exp (- x)))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

111×	`*-un-lft-identity`
61×	`exp-neg`
50×	`add-sqr-sqrt`
45×	`times-frac`
42×	`associate-*r/`
39×	`neg-sub0` `exp-diff`
30×	`distribute-lft-out`
27×	`frac-sub`
26×	`add-cube-cbrt`
24×	`unpow-prod-down` `cube-prod`
21×	`un-div-inv`
16×	`exp-prod`
15×	`sub-div`
12×	`frac-times` `associate-*l/`
11×	`distribute-lft-out--` `difference-of-squares`
9×	`associate-/r*`
8×	`add-cbrt-cube` `add-log-exp`
6×	`pow1` `add-exp-log` `sum-cubes`
5×	`pow-prod-down` `associate-/l*`
4×	`pow-prod-up`
3×	`distribute-lft-neg-in` `flip3--` `distribute-rgt-neg-in` `associate-r` `associate-l` `flip--`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `neg-mul-1` `distribute-rgt-out--` `frac-2neg` `flip3-+` `div-sub` `rgt-mult-inverse` `div-exp` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 175

Calls

4 calls:

29.0ms	(* (exp x) (exp (- x)))
84.0ms	(/ (- (exp x) (exp (- x))) (+ (pow (exp x) 3) (pow (exp (- x)) 3)))
47.0ms	(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))
14.0ms	(- (exp x) (exp (- x)))

series280.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (exp x) (exp (- x)))
131.0ms	(/ (- (exp x) (exp (- x))) (+ (pow (exp x) 3) (pow (exp (- x)) 3)))
54.0ms	(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))
37.0ms	(- (exp x) (exp (- x)))

simplify112.0ms

Counts

187 → 187

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	665	2063
1	2647	1799
2	5001	1754
done	5001	1754

prune326.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	1
1	2	1
done	2	1

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.3s	7604×	body	10240	exit
981.0ms	3256×	body	1280	valid
443.0ms	2480×	body	640	valid
143.0ms	1227×	body	320	valid
42.0ms	606×	body	160	valid
15.0ms	431×	body	80	valid