Details

sample155.0ms

Algorithm

intervals

Results

62.0ms	266×	body	10240	exit
50.0ms	117×	body	1280	valid
17.0ms	72×	body	640	valid
6.0ms	37×	body	320	valid
2.0ms	19×	body	160	valid
1.0ms	11×	body	80	valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5010
13	2564
12	739
11	416
10	285
9	201
8	156
7	122
6	81
5	59
4	41
3	31
2	25
1	15
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.1b	(- (exp x) (exp (- x)))

rewrite86.0ms

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:

13.0ms	(+ (exp x) (exp (- x)))
56.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
12.0ms	(- (exp x) (exp (- x)))

series173.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (exp x) (exp (- x)))
94.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
50.0ms	(- (exp x) (exp (- x)))

simplify2.4s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	3724
2	1044
1	357
0	147

prune398.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize4.0ms

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)

series113.0ms

Counts

1 → 3

Calls

1 calls:

113.0ms

(tanh x)

simplify1.8s

Counts

15 → 15

Iterations

Iter	Nodes
done	5032
4	2952
3	635
2	208
1	93
0	44

prune53.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* (* x -1/3) x) x (fma 2/15 (pow x 5) x))
0.1b	(* (* x -1/3) x)
0.3b	(* x -1/3)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`fma-udef` `unswap-sqr`

Counts

3 → 50

Calls

3 calls:

0.0ms	(fma (* (* x -1/3) x) x (fma 2/15 (pow x 5) x))
13.0ms	(* (* x -1/3) x)
7.0ms	(* x -1/3)

series139.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(fma (* (* x -1/3) x) x (fma 2/15 (pow x 5) x))
51.0ms	(* (* x -1/3) x)
17.0ms	(* x -1/3)

simplify2.3s

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
3	2272
2	526
1	178
0	76

prune225.0ms

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

simplify0.0ms

Iterations

Iter	Nodes
done	2
0	2

end0.0ms

sample6.8s

Algorithm

intervals

Results

3.2s	7563×	body	10240	exit
2.1s	3251×	body	1280	valid
699.0ms	2490×	body	640	valid
242.0ms	1248×	body	320	valid
65.0ms	606×	body	160	valid
22.0ms	405×	body	80	valid