Details

sample586.0ms

Algorithm

intervals

Results

482.0ms	241×	body	10240	exit
48.0ms	99×	body	1280	valid
24.0ms	81×	body	640	valid
9.0ms	44×	body	320	valid
2.0ms	18×	body	160	valid
1.0ms	14×	body	80	valid

simplify50.0s

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	555	13
8	3716	13
done	5000	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize26.0ms

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)))

rewrite113.0ms

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-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`associate-/r*`
3×	`expm1-log1p-u` `pow1` `fma-def` `fma-neg` `log1p-expm1-u`
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 → 94

Calls

3 calls:

15.0ms	(+ (exp x) (exp (- x)))
68.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
27.0ms	(- (exp x) (exp (- x)))

series190.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ (exp x) (exp (- x)))
99.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
65.0ms	(- (exp x) (exp (- x)))

simplify1.9s

Counts

103 → 103

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	147	1789
1	358	1602
2	1688	1430
done	5004	1371

prune461.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

1.0ms

(tanh x)

series134.0ms

Counts

1 → 3

Calls

1 calls:

134.0ms

(tanh x)

simplify2.0s

Counts

15 → 15

Iterations

Useful iterations: 3 (149.0ms)

Iter	Nodes	Cost
0	44	113
1	93	87
2	209	82
3	667	81
4	3556	81
done	5002	81

prune71.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (* 2 x)) 1)
0.8b	(/ (expm1 (* 2 x)) (+ (exp (* 2 x)) 1))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

17.0ms	(+ (exp (* 2 x)) 1)
18.0ms	(/ (expm1 (* 2 x)) (+ (exp (* 2 x)) 1))

series112.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (exp (* 2 x)) 1)
98.0ms	(/ (expm1 (* 2 x)) (+ (exp (* 2 x)) 1))

simplify675.0ms

Counts

59 → 59

Iterations

Useful iterations: done (672.0ms)

Iter	Nodes	Cost
0	89	861
1	221	821
2	922	744
done	5000	740

prune246.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (pow x 3) -1/3 (fma 2/15 (pow x 5) x))
0.0b	(fma 2/15 (pow x 5) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma (pow x 3) -1/3 (fma 2/15 (pow x 5) x))
0.0ms	(fma 2/15 (pow x 5) x)

series200.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(fma (pow x 3) -1/3 (fma 2/15 (pow x 5) x))
132.0ms	(fma 2/15 (pow x 5) x)

simplify624.0ms

Counts

26 → 26

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	33	298
1	56	292
2	161	255
3	852	255
done	5000	255

prune117.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes35.0ms

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

4.5s	7425×	body	10240	exit
2.4s	3391×	body	1280	valid
843.0ms	2390×	body	640	valid
248.0ms	1209×	body	320	valid
77.0ms	601×	body	160	valid
26.0ms	409×	body	80	valid