Details

sample213.0ms

Algorithm

intervals

Results

116.0ms	247×	body	10240	exit
42.0ms	94×	body	1280	valid
22.0ms	74×	body	640	valid
9.0ms	49×	body	320	valid
3.0ms	30×	body	160	valid
1.0ms	9×	body	80	valid

simplify9.4s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.3b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
8.0b	(- (exp x) (exp (- x)))

rewrite129.0ms

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:

16.0ms	(+ (exp x) (exp (- x)))
87.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
23.0ms	(- (exp x) (exp (- x)))

series206.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ (exp x) (exp (- x)))
126.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
52.0ms	(- (exp x) (exp (- x)))

simplify1.3s

Counts

103 → 103

Iterations

Useful iterations: done (1.3s)

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

prune284.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

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)

series119.0ms

Counts

1 → 3

Calls

1 calls:

119.0ms

(tanh x)

simplify2.2s

Counts

15 → 15

Iterations

Useful iterations: 3 (106.0ms)

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

prune56.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 2/15 (pow x 5) 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:

0.0ms

(fma 2/15 (pow x 5) x)

series138.0ms

Counts

1 → 3

Calls

1 calls:

138.0ms

(fma 2/15 (pow x 5) x)

simplify1.3s

Counts

13 → 13

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	16	110
1	24	107
2	59	95
3	216	95
4	1024	95
done	5000	95

prune49.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (tanh x) 3)
0.0b	(tanh x)
34.8b	(cbrt (pow (tanh x) 3))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cube-div` `unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `cbrt-div` `log1p-expm1-u` `tanh-def` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 66

Calls

3 calls:

8.0ms	(pow (tanh x) 3)
2.0ms	(tanh x)
6.0ms	(cbrt (pow (tanh x) 3))

series342.0ms

Counts

3 → 9

Calls

3 calls:

140.0ms	(pow (tanh x) 3)
104.0ms	(tanh x)
98.0ms	(cbrt (pow (tanh x) 3))

simplify1.2s

Counts

75 → 75

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	107	694
1	309	478
2	1494	435
done	5000	433

prune194.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
done	9	11

end0.0ms

sample7.2s

Algorithm

intervals

Results

4.0s	7518×	body	10240	exit
1.7s	3311×	body	1280	valid
741.0ms	2434×	body	640	valid
254.0ms	1196×	body	320	valid
75.0ms	665×	body	160	valid
23.0ms	394×	body	80	valid