Details

sample93.0ms

Algorithm

intervals

Results

33.0ms	214×	body	10240	exit
32.0ms	111×	body	1280	valid
12.0ms	71×	body	640	valid
3.0ms	29×	body	320	valid
2.0ms	31×	body	160	valid
0.0ms	14×	body	80	valid

simplify13.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	13
1	15	13
2	25	13
3	33	13
4	45	13
5	62	13
6	163	13
7	806	13
8	4515	13
done	5001	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
7.2b	(- (exp x) (exp (- x)))

rewrite40.0ms

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:

7.0ms	(+ (exp x) (exp (- x)))
24.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.0ms	(- (exp x) (exp (- x)))

series130.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (exp x) (exp (- x)))
72.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
36.0ms	(- (exp x) (exp (- x)))

simplify3.7s

Counts

82 → 82

Iterations

Useful iterations: 3 (448.0ms)

Iter	Nodes	Cost
0	117	1385
1	282	1333
2	867	1237
3	4189	1231
done	5000	1231

prune186.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize3.0ms

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:

81.0ms

(tanh x)

simplify1.3s

Counts

13 → 13

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	42	107
1	93	83
2	212	79
3	604	79
4	2827	79
done	5001	79

prune25.0ms

Pruning

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

rewrite31.0ms

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:

2.0ms	(+ x (* 2/15 (pow x 5)))
14.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
5.0ms	(* 2/15 (pow x 5))
7.0ms	(* 1/3 (pow x 3))

series317.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(+ x (* 2/15 (pow x 5)))
78.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
60.0ms	(* 2/15 (pow x 5))
45.0ms	(* 1/3 (pow x 3))

simplify739.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (152.0ms)

Iter	Nodes	Cost
0	133	981
1	337	861
2	1294	823
done	5000	823

prune193.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

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	2
done	2	2

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.4s	7644×	body	10240	exit
1.0s	3359×	body	1280	valid
465.0ms	2436×	body	640	valid
143.0ms	1193×	body	320	valid
43.0ms	582×	body	160	valid
17.0ms	430×	body	80	valid