Details

sample330.0ms

Algorithm

intervals

Results

177.0ms	231×	body	10240	exit
74.0ms	101×	body	1280	valid
45.0ms	82×	body	640	valid
12.0ms	37×	body	320	valid
4.0ms	20×	body	160	valid
2.0ms	16×	body	80	valid

simplify12.5s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

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))))
6.3b	(- (exp x) (exp (- x)))

rewrite119.0ms

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:

20.0ms	(+ (exp x) (exp (- x)))
85.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
13.0ms	(- (exp x) (exp (- x)))

series241.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (exp x) (exp (- x)))
133.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
61.0ms	(- (exp x) (exp (- x)))

simplify1.8s

Counts

106 → 106

Iterations

Iter	Nodes
3	3283
2	1002
1	358
0	150

prune885.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite6.0ms

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:

6.0ms

(tanh x)

series109.0ms

Counts

1 → 3

Calls

1 calls:

109.0ms

(tanh x)

simplify828.0ms

Counts

16 → 16

Iterations

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

prune95.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

0.0ms	(fma (pow x 5) 2/15 x)
0.0ms	(fma (* x (* x x)) -1/3 (fma (pow x 5) 2/15 x))
25.0ms	(* x (* x x))

series302.0ms

Counts

3 → 9

Calls

3 calls:

157.0ms	(fma (pow x 5) 2/15 x)
101.0ms	(fma (* x (* x x)) -1/3 (fma (pow x 5) 2/15 x))
43.0ms	(* x (* x x))

simplify3.7s

Counts

58 → 58

Iterations

Iter	Nodes
4	6888
3	1161
2	300
1	122
0	71

prune476.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (pow x 5) 2/15 x)) (cbrt (fma (pow x 5) 2/15 x)))
0.7b	(cbrt (fma (pow x 5) 2/15 x))
0.7b	(cbrt (fma (pow x 5) 2/15 x))
0.7b	(cbrt (fma (pow x 5) 2/15 x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

8.0ms	(* (cbrt (fma (pow x 5) 2/15 x)) (cbrt (fma (pow x 5) 2/15 x)))
1.0ms	(cbrt (fma (pow x 5) 2/15 x))
1.0ms	(cbrt (fma (pow x 5) 2/15 x))
1.0ms	(cbrt (fma (pow x 5) 2/15 x))

series3.3s

Counts

4 → 12

Calls

4 calls:

865.0ms	(* (cbrt (fma (pow x 5) 2/15 x)) (cbrt (fma (pow x 5) 2/15 x)))
832.0ms	(cbrt (fma (pow x 5) 2/15 x))
843.0ms	(cbrt (fma (pow x 5) 2/15 x))
776.0ms	(cbrt (fma (pow x 5) 2/15 x))

simplify2.6s

Counts

97 → 97

Iterations

Iter	Nodes
4	4969
3	1750
2	783
1	311
0	137

prune1.0s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	2
0	2

end0.0ms

sample11.5s

Algorithm

intervals

Results

6.0s	7484×	body	10240	exit
2.9s	3368×	body	1280	valid
1.7s	2349×	body	640	valid
372.0ms	1220×	body	320	valid
122.0ms	610×	body	160	valid
44.0ms	453×	body	80	valid