Details

sample206.0ms

Algorithm

intervals

Results

79.0ms	106×	body	1280	valid
75.0ms	261×	body	10240	exit
23.0ms	77×	body	640	valid
6.0ms	36×	body	320	valid
2.0ms	19×	body	160	valid
1.0ms	18×	body	80	valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	19	13
2	27	13
3	35	13
4	44	13
5	135	13
done	5000	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.8b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.3b	(- (exp x) (exp (- x)))

rewrite123.0ms

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:

20.0ms	(+ (exp x) (exp (- x)))
84.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
15.0ms	(- (exp x) (exp (- x)))

series219.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (exp x) (exp (- x)))
115.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
77.0ms	(- (exp x) (exp (- x)))

simplify2.3s

Counts

82 → 82

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	117	1385
1	1214	1327
done	5000	1251

prune242.0ms

Pruning

3 alts after pruning (2 fresh and 1 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)

series114.0ms

Counts

1 → 3

Calls

1 calls:

114.0ms

(tanh x)

simplify4.0s

Counts

13 → 13

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	42	107
1	298	83
done	5000	79

prune44.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

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))

rewrite104.0ms

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:

51.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
6.0ms	(+ x (* 2/15 (pow x 5)))
13.0ms	(* 2/15 (pow x 5))
29.0ms	(* 1/3 (pow x 3))

series375.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
155.0ms	(+ x (* 2/15 (pow x 5)))
57.0ms	(* 2/15 (pow x 5))
77.0ms	(* 1/3 (pow x 3))

simplify2.2s

Counts

93 → 93

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	133	981
1	958	869
done	5000	829

prune300.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes30.0ms

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

sample9.4s

Algorithm

intervals

Results

4.6s	7551×	body	10240	exit
2.7s	3308×	body	1280	valid
1.0s	2440×	body	640	valid
329.0ms	1225×	body	320	valid
86.0ms	632×	body	160	valid
30.0ms	395×	body	80	valid