Details

sample339.0ms

Algorithm

intervals

Results

181.0ms	263×	body	10240	exit
86.0ms	106×	body	1280	valid
36.0ms	84×	body	640	valid
11.0ms	37×	body	320	valid
5.0ms	23×	body	160	valid
1.0ms	6×	body	80	valid

simplify12.8s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.6b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.6b	(- (exp x) (exp (- x)))

rewrite110.0ms

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:

18.0ms	(+ (exp x) (exp (- x)))
70.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
21.0ms	(- (exp x) (exp (- x)))

series203.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (exp x) (exp (- x)))
114.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
45.0ms	(- (exp x) (exp (- x)))

simplify1.5s

Counts

106 → 106

Iterations

Iter	Nodes
3	3283
2	1002
1	358
0	150

prune410.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

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

Counts

1 → 13

Calls

1 calls:

1.0ms

(tanh x)

series118.0ms

Counts

1 → 3

Calls

1 calls:

118.0ms

(tanh x)

simplify808.0ms

Counts

16 → 16

Iterations

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

prune47.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (pow x 5) 2/15 x)
0.1b	(* x (* x x))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-up`
4×	`add-sqr-sqrt`
3×	`-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `fma-udef` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

0.0ms	(fma (pow x 5) 2/15 x)
27.0ms	(* x (* x x))

series199.0ms

Counts

2 → 6

Calls

2 calls:

146.0ms	(fma (pow x 5) 2/15 x)
53.0ms	(* x (* x x))

simplify2.1s

Counts

44 → 44

Iterations

Iter	Nodes
4	3741
3	687
2	220
1	96
0	55

prune187.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh x)
0.0b	(tanh x)
0.1b	(* (* (tanh x) (tanh x)) (tanh x))
40.6b	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

162×	`frac-times`
98×	`tanh-def`
63×	`cbrt-div`
54×	`associate-*l/`
30×	`associate-*r/`
23×	`pow1`
9×	`add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow2` `pow3` `pow-sqr`
1×	`cbrt-prod` `pow1/3` `associate-l` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 196

Calls

4 calls:

1.0ms	(tanh x)
1.0ms	(tanh x)
41.0ms	(* (* (tanh x) (tanh x)) (tanh x))
51.0ms	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

series445.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(tanh x)
87.0ms	(tanh x)
148.0ms	(* (* (tanh x) (tanh x)) (tanh x))
83.0ms	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

simplify881.0ms

Counts

208 → 208

Iterations

Iter	Nodes
2	2435
1	797
0	309

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (1.8b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	10
1	10
0	9

end0.0ms

sample11.4s

Algorithm

intervals

Results

6.1s	7677×	body	10240	exit
2.5s	3209×	body	1280	valid
2.0s	2504×	body	640	valid
391.0ms	1212×	body	320	valid
126.0ms	664×	body	160	valid
45.0ms	411×	body	80	valid