Details

analyze72.0ms (2.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample64.0ms (2.1%)

Algorithm

1×

intervals

Results

36.0ms	125×	body	1024	valid
14.0ms	75×	body	512	valid
4.0ms	12×	body	2048	valid
2.0ms	22×	body	256	valid
1.0ms	22×	body	128	valid

Compiler

Compiled 20 to 16 computations (20% saved)

simplify61.0ms (2%)

Algorithm

1×	egg-herbie

Rules

618×	`fma-neg_binary64`
579×	`fma-def_binary64`
510×	`associate-/l*_binary64`
467×	`div-sub_binary64`
425×	`times-frac_binary64`

Counts

1 → 1

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	33	13
3	57	13
4	112	13
5	224	13
6	514	13
7	1303	13
8	3047	12
9	4469	12
10	4859	12

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

57.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	57.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 27 to 20 computations (25.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

5.5b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite36.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`prod-diff_binary64`
9×	`add-cube-cbrt_binary64`
3×	`cancel-sign-sub-inv_binary64`

Counts

1 → 31

Calls

1 calls:

4.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 675 to 180 computations (73.3% saved)

series11.0ms (0.4%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

6.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 172 to 139 computations (19.2% saved)

simplify87.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

608×	`fma-neg_binary64`
326×	`unsub-neg_binary64`
325×	`distribute-rgt-in_binary64`
287×	`associate-/r*_binary64`
265×	`associate-l_binary64`

Counts

37 → 26

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	86	609
1	175	515
2	491	450
3	1944	450
4	3994	448
5	4786	448
6	4810	448

prune13.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	4	27

Error

Counts

27 → 4

Alt Table

Status	Error	Program
	57.6b	(/.f64 (fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (/.f64 -1 (exp.f64 x))) 2)
▶	0.6b	(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))) 2)
	0.7b	(/.f64 (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))) 2)
✓	57.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 290 to 183 computations (36.9% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite40.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
7×	`add-exp-log_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`

Counts

2 → 43

Calls

2 calls:

7.0ms	(*.f64 1/3 (pow.f64 x 3))
0.0ms	(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))

Compiler

Compiled 805 to 652 computations (19% saved)

series27.0ms (0.9%)

Error

Counts

2 → 12

Calls

2 calls:

18.0ms	(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))
6.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 335 to 278 computations (17% saved)

simplify72.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

581×	`distribute-rgt-in_binary64`
575×	`distribute-lft-in_binary64`
538×	`associate-l_binary64`
502×	`associate-r_binary64`
443×	`fma-def_binary64`

Counts

55 → 37

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	733
1	140	656
2	389	643
3	2054	643
4	4917	643
5	4945	643

prune21.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	37	4	41

Error

Counts

41 → 4

Alt Table

Status	Error	Program
	57.6b	(/.f64 (fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (/.f64 -1 (exp.f64 x))) 2)
✓	0.6b	(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))) 2)
▶	0.7b	(/.f64 (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))) 2)
✓	57.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 559 to 436 computations (22% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite26.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`associate-r_binary64`
12×	`add-sqr-sqrt_binary64`
6×	`add-exp-log_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64`

Counts

1 → 33

Calls

1 calls:

7.0ms

(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 431 to 350 computations (18.8% saved)

series6.0ms (0.2%)

Error

Counts

1 → 3

Calls

1 calls:

5.0ms

(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 77 to 63 computations (18.2% saved)

simplify92.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

513×	`associate-l_binary64`
478×	`associate-r_binary64`
457×	`fma-def_binary64`
349×	`log-prod_binary64`
311×	`cube-prod_binary64`

Counts

36 → 23

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	375
1	108	335
2	300	334
3	1643	334
4	2725	304
5	4361	304
6	4942	304
7	4928	304

prune11.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	23	4	27

Error

Counts

27 → 4

Alt Table

Status	Error	Program
▶	57.6b	(/.f64 (fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (/.f64 -1 (exp.f64 x))) 2)
✓	0.6b	(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))) 2)
✓	0.7b	(/.f64 (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))) 2)
✓	57.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 250 to 192 computations (23.2% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(/.f64 -1 (exp.f64 x))
5.3b	(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (/.f64 -1 (exp.f64 x)))

rewrite36.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
8×	`sqrt-pow1_binary64`

Counts

4 → 75

Calls

4 calls:

3.0ms	(/.f64 -1 (exp.f64 x))
2.0ms	(sqrt.f64 (exp.f64 x))
2.0ms	(sqrt.f64 (exp.f64 x))
0.0ms	(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (/.f64 -1 (exp.f64 x)))

Compiler

Compiled 1335 to 590 computations (55.8% saved)

series37.0ms (1.2%)

Error

Counts

4 → 24

Calls

4 calls:

12.0ms	(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (/.f64 -1 (exp.f64 x)))
6.0ms	(/.f64 -1 (exp.f64 x))
6.0ms	(sqrt.f64 (exp.f64 x))
6.0ms	(sqrt.f64 (exp.f64 x))

Compiler

Compiled 783 to 529 computations (32.4% saved)

simplify85.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

741×	`fma-def_binary64`
664×	`fma-neg_binary64`
387×	`associate-l_binary64`
331×	`associate-r_binary64`
279×	`times-frac_binary64`

Counts

99 → 41

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	120	1009
1	226	936
2	504	930
3	1359	913
4	4127	911
5	4901	911

prune16.0ms (0.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	41	4	45

Error

Counts

45 → 4

Alt Table

Status	Error	Program
	57.6b	(/.f64 (fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (/.f64 -1 (exp.f64 x))) 2)
	0.6b	(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))) 2)
	0.7b	(/.f64 (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))) 2)
	57.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 636 to 329 computations (48.3% saved)

regimes64.0ms (2.1%)

Accuracy

Total -0.0b remaining (-16.1%)

Threshold costs -0.0b (-16.1%)

Compiler

Compiled 1549 to 764 computations (50.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	7	9
2	7	9

end0.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

sample2.1s (69.8%)

Algorithm

1×

intervals

Results

1.2s	3962×	body	1024	valid
313.0ms	1996×	body	512	valid
128.0ms	399×	body	2048	valid
95.0ms	963×	body	256	valid
39.0ms	680×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 68 to 52 computations (23.5% saved)

Details

analyze72.0ms (2.4%)

sample64.0ms (2.1%)

simplify61.0ms (2%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite36.0ms (1.2%)

series11.0ms (0.4%)

simplify87.0ms (2.9%)

prune13.0ms (0.4%)

localize9.0ms (0.3%)

rewrite40.0ms (1.3%)

series27.0ms (0.9%)

simplify72.0ms (2.4%)

prune21.0ms (0.7%)

localize5.0ms (0.2%)

rewrite26.0ms (0.9%)

series6.0ms (0.2%)

simplify92.0ms (3.1%)

prune11.0ms (0.4%)

localize7.0ms (0.2%)

rewrite36.0ms (1.2%)

series37.0ms (1.2%)

simplify85.0ms (2.8%)

prune16.0ms (0.5%)

regimes64.0ms (2.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.1s (69.8%)

Profiling