Details

sample225.0ms

Algorithm

intervals

Results

103.0ms	252×	body	10240	exit
82.0ms	128×	body	1280	valid
18.0ms	61×	body	640	valid
8.0ms	40×	body	320	valid
2.0ms	15×	body	160	valid
1.0ms	12×	body	80	valid

simplify12.1s

Counts

1 → 1

Iterations

Iter	Nodes
15	9602
14	1972
13	611
12	247
11	137
10	88
9	68
8	62
7	59
6	55
5	51
4	39
3	29
2	23
1	15
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
4.9b	(- (exp x) (exp (- x)))

rewrite77.0ms

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` `insert-posit16` `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 → 97

Calls

3 calls:

10.0ms	(+ (exp x) (exp (- x)))
53.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
13.0ms	(- (exp x) (exp (- x)))

series205.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (exp x) (exp (- x)))
111.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
62.0ms	(- (exp x) (exp (- x)))

simplify1.5s

Counts

106 → 106

Iterations

Iter	Nodes
3	3283
2	1002
1	358
0	150

prune605.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite1.0ms

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` `insert-posit16` `log1p-expm1-u` `tanh-def` `add-log-exp`

Counts

1 → 13

Calls

1 calls:

1.0ms

(tanh x)

series134.0ms

Counts

1 → 3

Calls

1 calls:

134.0ms

(tanh x)

simplify791.0ms

Counts

16 → 16

Iterations

Iter	Nodes
4	2482
3	563
2	196
1	92
0	45

prune112.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (pow x 5) 1/60 (* x (+ (* x (* x 1/3)) 2)))
0.0b	(* x (+ (* x (* x 1/3)) 2))
0.1b	(* x (* x 1/3))
0.3b	(* x 1/3)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
7×	`associate-r`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`associate-*r/` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `fma-udef`

Counts

4 → 78

Calls

4 calls:

0.0ms	(fma (pow x 5) 1/60 (* x (+ (* x (* x 1/3)) 2)))
73.0ms	(* x (+ (* x (* x 1/3)) 2))
31.0ms	(* x (* x 1/3))
10.0ms	(* x 1/3)

series272.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(fma (pow x 5) 1/60 (* x (+ (* x (* x 1/3)) 2)))
147.0ms	(* x (+ (* x (* x 1/3)) 2))
31.0ms	(* x (* x 1/3))
19.0ms	(* x 1/3)

simplify2.4s

Counts

90 → 90

Iterations

Iter	Nodes
3	3813
2	842
1	265
0	112

prune840.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

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
1	2
0	2

end0.0ms

sample11.6s

Algorithm

intervals

Results

6.5s	7515×	body	10240	exit
2.9s	3331×	body	1280	valid
1.2s	2450×	body	640	valid
476.0ms	1192×	body	320	valid
119.0ms	626×	body	160	valid
39.0ms	401×	body	80	valid