Details

sample251.0ms

Algorithm

intervals

Results

124.0ms	271×	body	10240	exit
60.0ms	104×	body	1280	valid
26.0ms	73×	body	640	valid
12.0ms	51×	body	320	valid
3.0ms	17×	body	160	valid
1.0ms	11×	body	80	valid

simplify14.6s

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	70	13
6	136	13
7	605	13
8	4776	13
done	5000	13

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.8b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.0b	(- (exp x) (exp (- x)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
20×	`times-frac`
9×	`prod-diff`
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` `expm1-log1p-u` `fma-def` `fma-neg` `log1p-expm1-u`
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 → 94

Calls

3 calls:

24.0ms	(+ (exp x) (exp (- x)))
108.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
29.0ms	(- (exp x) (exp (- x)))

series242.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (exp x) (exp (- x)))
132.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
70.0ms	(- (exp x) (exp (- x)))

simplify2.1s

Counts

103 → 103

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	147	1789
1	358	1602
2	1682	1430
done	5000	1371

prune483.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `tanh-def` `add-log-exp`

Counts

1 → 12

Calls

1 calls:

2.0ms

(tanh x)

series134.0ms

Counts

1 → 3

Calls

1 calls:

134.0ms

(tanh x)

simplify2.6s

Counts

15 → 15

Iterations

Useful iterations: 3 (161.0ms)

Iter	Nodes	Cost
0	44	113
1	93	87
2	207	82
3	659	81
4	3437	81
done	5000	81

prune84.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (* 2 x)) 1)
0.0b	(/ (expm1 (* 2 x)) (+ (exp (* 2 x)) 1))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv` `expm1-udef`

Counts

2 → 53

Calls

2 calls:

20.0ms	(+ (exp (* 2 x)) 1)
33.0ms	(/ (expm1 (* 2 x)) (+ (exp (* 2 x)) 1))

series113.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ (exp (* 2 x)) 1)
96.0ms	(/ (expm1 (* 2 x)) (+ (exp (* 2 x)) 1))

simplify964.0ms

Counts

59 → 59

Iterations

Useful iterations: done (961.0ms)

Iter	Nodes	Cost
0	89	861
1	221	821
2	911	744
done	5001	739

prune342.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (log1p (exp (* 2 x))))
0.0b	(log1p (exp (* 2 x)))
0.0b	(/ (expm1 (* 2 x)) (exp (log1p (exp (* 2 x)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-cbrt-cube`
4×	`add-exp-log` `expm1-log1p-u` `add-log-exp`
3×	`pow1` `exp-prod` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`log1p-udef` `rem-exp-log`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `log1p-expm1` `div-exp` `clear-num` `div-inv` `expm1-udef`

Counts

3 → 55

Calls

3 calls:

4.0ms	(exp (log1p (exp (* 2 x))))
1.0ms	(log1p (exp (* 2 x)))
18.0ms	(/ (expm1 (* 2 x)) (exp (log1p (exp (* 2 x)))))

series489.0ms

Counts

3 → 9

Calls

3 calls:

141.0ms	(exp (log1p (exp (* 2 x))))
92.0ms	(log1p (exp (* 2 x)))
256.0ms	(/ (expm1 (* 2 x)) (exp (log1p (exp (* 2 x)))))

simplify2.4s

Counts

64 → 64

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	95	824
1	193	798
2	625	729
3	3326	726
done	5001	698

prune377.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

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

sample10.8s

Algorithm

intervals

Results

5.4s	7609×	body	10240	exit
2.1s	3331×	body	1280	valid
1.6s	2471×	body	640	valid
833.0ms	1224×	body	320	valid
92.0ms	591×	body	160	valid
32.0ms	383×	body	80	valid