Details

sample278.0ms

Algorithm

intervals

Results

128.0ms	243×	body	10240	exit
87.0ms	106×	body	1280	valid
31.0ms	78×	body	640	valid
13.0ms	45×	body	320	valid
2.0ms	14×	body	160	valid
1.0ms	13×	body	80	valid

simplify12.5s

Counts

1 → 1

Iterations

Iter	Nodes
15	9856
14	1999
13	591
12	238
11	133
10	84
9	64
8	58
7	55
6	51
5	47
4	39
3	29
2	23
1	15
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.7b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.6b	(- (exp x) (exp (- x)))

rewrite90.0ms

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-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`associate-/r*`
3×	`pow1` `insert-posit16`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `tanh-undef` `div-inv`

Counts

3 → 76

Calls

3 calls:

18.0ms	(+ (exp x) (exp (- x)))
49.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
22.0ms	(- (exp x) (exp (- x)))

series203.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (exp x) (exp (- x)))
117.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
52.0ms	(- (exp x) (exp (- x)))

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
3	2756
2	871
1	294
0	120

prune688.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `tanh-def` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

2.0ms

(tanh x)

series103.0ms

Counts

1 → 3

Calls

1 calls:

103.0ms

(tanh x)

simplify819.0ms

Counts

14 → 14

Iterations

Iter	Nodes
4	2416
3	545
2	198
1	93
0	43

prune118.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* x -1/3) (* x x)) (+ (* (pow x 5) 2/15) x))
0.1b	(* (pow x 5) 2/15)
0.1b	(* (* x -1/3) (* x x))
0.3b	(* x -1/3)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
16×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-l`
10×	`cbrt-unprod`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
7×	`associate-r`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`sum-log` `*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `+-commutative` `associate-+r+` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 82

Calls

4 calls:

47.0ms	(+ (* (* x -1/3) (* x x)) (+ (* (pow x 5) 2/15) x))
16.0ms	(* (pow x 5) 2/15)
35.0ms	(* (* x -1/3) (* x x))
5.0ms	(* x -1/3)

series226.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (* (* x -1/3) (* x x)) (+ (* (pow x 5) 2/15) x))
68.0ms	(* (pow x 5) 2/15)
61.0ms	(* (* x -1/3) (* x x))
19.0ms	(* x -1/3)

simplify2.2s

Counts

94 → 94

Iterations

Iter	Nodes
3	4956
2	1090
1	323
0	132

prune882.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- (exp x) (exp (- x))))
0.7b	(/ (log (exp (- (exp x) (exp (- x))))) (+ (exp x) (exp (- x))))
5.6b	(log (exp (- (exp x) (exp (- x)))))
5.6b	(- (exp x) (exp (- x)))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
36×	`times-frac` `log-pow`
35×	`exp-prod`
27×	`add-cube-cbrt`
10×	`pow1` `distribute-lft-out`
9×	`associate-/l*` `add-log-exp`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`add-cbrt-cube` `add-exp-log`
5×	`log-prod`
4×	`associate-/r*` `exp-sum` `insert-posit16`
3×	`sub-neg` `exp-diff`
2×	`log-div` `diff-log` `associate-/r/` `rem-exp-log`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `rem-log-exp` `flip-+` `div-inv` `flip--`

Counts

4 → 119

Calls

4 calls:

44.0ms	(exp (- (exp x) (exp (- x))))
108.0ms	(/ (log (exp (- (exp x) (exp (- x))))) (+ (exp x) (exp (- x))))
55.0ms	(log (exp (- (exp x) (exp (- x)))))
11.0ms	(- (exp x) (exp (- x)))

series272.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(exp (- (exp x) (exp (- x))))
98.0ms	(/ (log (exp (- (exp x) (exp (- x))))) (+ (exp x) (exp (- x))))
52.0ms	(log (exp (- (exp x) (exp (- x)))))
48.0ms	(- (exp x) (exp (- x)))

simplify917.0ms

Counts

131 → 131

Iterations

Iter	Nodes
3	2295
2	904
1	344
0	166

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	2
0	2

end0.0ms

sample11.3s

Algorithm

intervals

Results

6.6s	7490×	body	10240	exit
2.4s	3279×	body	1280	valid
1.2s	2454×	body	640	valid
545.0ms	1287×	body	320	valid
148.0ms	606×	body	160	valid
36.0ms	374×	body	80	valid