Details

sample216.0ms

Algorithm

intervals

Results

107.0ms	226×	body	10240	exit
56.0ms	114×	body	1280	valid
23.0ms	65×	body	640	valid
7.0ms	38×	body	320	valid
3.0ms	27×	body	160	valid
1.0ms	12×	body	80	valid

simplify12.2s

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	66	13
6	130	13
7	567	13
8	4527	13
done	5000	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.9b	(- (exp x) (exp (- x)))

rewrite140.0ms

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:

24.0ms	(+ (exp x) (exp (- x)))
95.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
15.0ms	(- (exp x) (exp (- x)))

series209.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ (exp x) (exp (- x)))
113.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
51.0ms	(- (exp x) (exp (- x)))

simplify768.0ms

Counts

82 → 82

Iterations

Useful iterations: done (763.0ms)

Iter	Nodes	Cost
0	117	1385
1	293	1333
2	1244	1241
done	5000	1239

prune617.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite2.0ms

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)

series131.0ms

Counts

1 → 3

Calls

1 calls:

131.0ms

(tanh x)

simplify2.4s

Counts

13 → 13

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	42	107
1	92	83
2	218	79
3	703	79
4	3589	79
done	5001	79

prune29.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

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))

rewrite95.0ms

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:

47.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
17.0ms	(* 2/15 (pow x 5))
27.0ms	(* 1/3 (pow x 3))

series224.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
88.0ms	(* 2/15 (pow x 5))
52.0ms	(* 1/3 (pow x 3))

simplify774.0ms

Counts

79 → 79

Iterations

Useful iterations: done (770.0ms)

Iter	Nodes	Cost
0	121	815
1	306	726
2	1144	684
done	5000	675

prune264.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

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

sample8.6s

Algorithm

intervals

Results

4.4s	7504×	body	10240	exit
2.4s	3388×	body	1280	valid
915.0ms	2431×	body	640	valid
292.0ms	1200×	body	320	valid
78.0ms	606×	body	160	valid
26.0ms	375×	body	80	valid