Details

analyze76.0ms (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)

sample61.0ms (2%)

Algorithm

1×

intervals

Results

33.0ms	120×	body	1024	valid
13.0ms	63×	body	512	valid
4.0ms	41×	body	256	valid
3.0ms	10×	body	2048	valid
1.0ms	22×	body	128	valid

Compiler

Compiled 20 to 16 computations (20% saved)

simplify59.0ms (1.9%)

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

58.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	58.4b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 27 to 20 computations (25.9% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

7.2b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite39.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-cube-cbrt_binary64`
6×	`add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
5×	`flip3--_binary64`
4×	`pow1_binary64`

Counts

1 → 47

Calls

1 calls:

15.0ms

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

Compiler

Compiled 1157 to 226 computations (80.5% saved)

series12.0ms (0.4%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

7.0ms

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

Compiler

Compiled 172 to 139 computations (19.2% saved)

simplify120.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

710×	`fma-neg_binary64`
333×	`div-sub_binary64`
287×	`fma-def_binary64`
272×	`associate-l_binary64`
230×	`neg-mul-1_binary64`

Counts

53 → 27

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	94	769
1	223	708
2	682	689
3	2364	681
4	3710	667
5	4462	667
6	4950	667
7	4784	667

prune18.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	2	28

Error

0.0b

Counts

28 → 2

Alt Table

Status	Error	Program
✓	58.4b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
▶	0.5b	(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))) 2)

Compiler

Compiled 452 to 276 computations (38.9% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
0.0b	(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))
0.2b	(*.f64 1/3 (pow.f64 x 3))

rewrite108.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64`
13×	`pow1_binary64`
11×	`add-cbrt-cube_binary64`
10×	`fma-udef_binary64`

Counts

3 → 101

Calls

3 calls:

16.0ms	(*.f64 1/3 (pow.f64 x 3))
13.0ms	(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
9.0ms	(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))

Compiler

Compiled 1830 to 1498 computations (18.1% saved)

series46.0ms (1.5%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

19.0ms	(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))
13.0ms	(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
8.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 528 to 437 computations (17.2% saved)

simplify76.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

740×	`distribute-rgt-in_binary64`
447×	`unswap-sqr_binary64`
351×	`cancel-sign-sub-inv_binary64`
338×	`fma-def_binary64`
306×	`fma-neg_binary64`

Counts

119 → 59

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	1432
1	272	1361
2	886	1347
3	2431	1346
4	5205	1346

prune40.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	58	3	61

Error

Counts

61 → 3

Alt Table

Status	Error	Program
✓	58.4b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
▶	38.1b	(/.f64 (fma.f64 1/60 (pow.f64 x 5) (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 3))) 2)
✓	0.5b	(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))) 2)

Compiler

Compiled 1094 to 888 computations (18.8% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
0.0b	(pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 3)
0.0b	(fma.f64 1/60 (pow.f64 x 5) (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 3)))
37.6b	(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 3))

rewrite131.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-cube-cbrt_binary64`
16×	`add-sqr-sqrt_binary64`
13×	`pow1_binary64`
12×	`log1p-expm1-u_binary64`
12×	`expm1-log1p-u_binary64`

Counts

4 → 142

Calls

4 calls:

13.0ms	(pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 3)
12.0ms	(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
10.0ms	(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 3))
9.0ms	(fma.f64 1/60 (pow.f64 x 5) (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 3)))

Compiler

Compiled 2664 to 2242 computations (15.8% saved)

series76.0ms (2.4%)

Error

Counts

4 → 33

Calls

4 calls:

24.0ms	(fma.f64 1/60 (pow.f64 x 5) (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 3)))
15.0ms	(pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 3)
11.0ms	(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
11.0ms	(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 3))

Compiler

Compiled 1070 to 901 computations (15.8% saved)

simplify124.0ms (4%)

Algorithm

1×	egg-herbie

Rules

558×	`fma-def_binary64`
532×	`fma-neg_binary64`
329×	`cancel-sign-sub-inv_binary64`
295×	`*-commutative_binary64`
267×	`distribute-rgt-in_binary64`

Counts

175 → 97

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	2304
1	308	2056
2	1061	2010
3	3336	2010
4	4731	2010
5	4944	2010

prune52.0ms (1.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	97	3	100

Error

Counts

100 → 3

Alt Table

Status	Error	Program
	58.4b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
	38.1b	(/.f64 (fma.f64 1/60 (pow.f64 x 5) (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 3))) 2)
	0.5b	(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))) 2)

Compiler

Compiled 1528 to 1266 computations (17.1% saved)

regimes69.0ms (2.2%)

Accuracy

Total -0.0b remaining (-51.8%)

Threshold costs -0.0b (-51.8%)

Compiler

Compiled 1356 to 999 computations (26.3% 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)

sample2.0s (63.5%)

Algorithm

1×

intervals

Results

1.1s	3950×	body	1024	valid
298.0ms	1943×	body	512	valid
124.0ms	411×	body	2048	valid
102.0ms	1057×	body	256	valid
32.0ms	639×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 62 to 51 computations (17.7% saved)

Details

analyze76.0ms (2.4%)

sample61.0ms (2%)

simplify59.0ms (1.9%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite39.0ms (1.3%)

series12.0ms (0.4%)

simplify120.0ms (3.8%)

prune18.0ms (0.6%)

localize10.0ms (0.3%)

rewrite108.0ms (3.5%)

series46.0ms (1.5%)

simplify76.0ms (2.4%)

prune40.0ms (1.3%)

localize15.0ms (0.5%)

rewrite131.0ms (4.2%)

series76.0ms (2.4%)

simplify124.0ms (4%)

prune52.0ms (1.6%)

regimes69.0ms (2.2%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.0s (63.5%)

Profiling