Details

sample256.0ms

Algorithm

intervals

Results

131.0ms	261×	body	10240	exit
60.0ms	106×	body	1280	valid
32.0ms	77×	body	640	valid
8.0ms	36×	body	320	valid
3.0ms	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	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: 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)))

rewrite148.0ms

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:

28.0ms	(+ (exp x) (exp (- x)))
96.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
21.0ms	(- (exp x) (exp (- x)))

series248.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (exp x) (exp (- x)))
150.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
54.0ms	(- (exp x) (exp (- x)))

simplify3.5s

Counts

103 → 103

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	147	1789
1	342	1599
2	944	1426
3	3562	1362
done	5000	1362

prune329.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

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:

3.0ms

(tanh x)

series100.0ms

Counts

1 → 3

Calls

1 calls:

100.0ms

(tanh x)

simplify2.3s

Counts

15 → 15

Iterations

Useful iterations: 3 (111.0ms)

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

prune68.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

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` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

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

series80.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

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

simplify4.1s

Counts

13 → 13

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	24	188
1	47	185
2	126	160
3	546	160
4	3562	160
done	5000	160

prune57.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (exp (* x -2)))
0.0b	(+ 1 (exp (+ x x)))
0.0b	(/ 1 (+ 1 (exp (+ x x))))
6.3b	(- (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (+ 1 (exp (+ x x)))))

rewrite412.0ms

Algorithm

rewrite-expression-head

Rules

599×	`*-un-lft-identity`
492×	`times-frac`
343×	`add-sqr-sqrt`
324×	`prod-diff`
319×	`add-cube-cbrt`
129×	`distribute-lft-out`
76×	`associate-/r/`
42×	`div-inv`
40×	`flip3-+` `flip-+`
18×	`fma-neg`
16×	`distribute-lft-out--`
10×	`add-log-exp`
9×	`difference-of-squares`
8×	`add-exp-log`
6×	`fma-def` `add-cbrt-cube`
5×	`pow1`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
3×	`associate-/l*`
2×	`+-commutative` `div-exp` `sum-log`
1×	`cbrt-undiv` `sub-neg` `rec-exp` `flip3--` `pow-flip` `frac-2neg` `diff-log` `1-exp` `clear-num` `frac-sub` `flip--` `inv-pow`

Counts

4 → 455

Calls

4 calls:

8.0ms	(+ 1 (exp (* x -2)))
34.0ms	(+ 1 (exp (+ x x)))
40.0ms	(/ 1 (+ 1 (exp (+ x x))))
282.0ms	(- (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (+ 1 (exp (+ x x)))))

series178.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ 1 (exp (* x -2)))
26.0ms	(+ 1 (exp (+ x x)))
25.0ms	(/ 1 (+ 1 (exp (+ x x))))
108.0ms	(- (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (+ 1 (exp (+ x x)))))

simplify1.6s

Counts

467 → 467

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	438	28766
1	982	22040
2	1845	15110
done	5000	12154

prune695.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes28.0ms

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

sample8.9s

Algorithm

intervals

Results

4.3s	7551×	body	10240	exit
2.3s	3308×	body	1280	valid
1.4s	2440×	body	640	valid
300.0ms	1225×	body	320	valid
135.0ms	632×	body	160	valid
27.0ms	395×	body	80	valid