Details

sample169.0ms

Algorithm

intervals

Results

85.0ms	252×	body	10240	exit
35.0ms	94×	body	1280	valid
21.0ms	86×	body	640	valid
9.0ms	40×	body	320	valid
2.0ms	20×	body	160	valid
1.0ms	16×	body	80	valid

simplify3.7s

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	56	13
6	59	13
7	95	13
8	110	13
9	155	13
10	227	13
11	395	13
12	965	13
13	3061	13
done	5001	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize9.0ms

Local error

Found 2 expressions with local error:

2.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.1b	(- (exp x) (exp (- x)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `times-frac`
9×	`prod-diff`
6×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`fma-neg`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `tanh-undef` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 77

Calls

2 calls:

90.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
32.0ms	(- (exp x) (exp (- x)))

series194.0ms

Counts

2 → 6

Calls

2 calls:

141.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
52.0ms	(- (exp x) (exp (- x)))

simplify2.8s

Counts

83 → 83

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	134	1618
1	308	1438
2	858	1284
3	3357	1224
done	5000	1224

prune194.0ms

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` `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:

1.0ms

(tanh x)

series107.0ms

Counts

1 → 3

Calls

1 calls:

106.0ms

(tanh x)

simplify1.7s

Counts

15 → 15

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	44	113
1	92	87
2	201	82
3	594	81
4	2826	81
done	5000	81

prune56.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma 2/15 (pow x 5) x)
1.0ms	(fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))

series280.0ms

Counts

2 → 6

Calls

2 calls:

192.0ms	(fma 2/15 (pow x 5) x)
88.0ms	(fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))

simplify3.1s

Counts

26 → 26

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	33	298
1	56	292
2	155	255
3	676	255
4	4204	255
done	5000	255

prune88.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

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

sample7.8s

Algorithm

intervals

Results

3.6s	7400×	body	10240	exit
2.5s	3282×	body	1280	valid
785.0ms	2444×	body	640	valid
349.0ms	1255×	body	320	valid
95.0ms	412×	body	80	valid
69.0ms	607×	body	160	valid