Details

analyze91.0ms (6.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
1.6%	3.1%	95.3%	3
1.6%	3.1%	95.3%	4
2.3%	1.6%	96.1%	5
2.3%	1.6%	96.1%	6
2.7%	0.8%	96.5%	7
2.7%	0.8%	96.5%	8
2.9%	0.4%	96.7%	9
2.9%	0.4%	96.7%	10
3%	0.2%	96.8%	11
3%	0.2%	96.8%	12
3.1%	0.1%	96.8%	13
3.1%	0.1%	96.8%	14

Compiler

Compiled 20 to 11 computations (45% saved)

sample31.0ms (2.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	pre	128	true
9.0ms	256×	body	128	valid
0.0ms	7×	pre	128	false

Compiler

Compiled 37 to 21 computations (43.2% saved)

simplify50.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

603×	`associate-/r*_binary64`
566×	`associate-l_binary64`
494×	`associate-r_binary64`
376×	`fabs-div_binary64`
362×	`distribute-rgt-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	25	17
2	68	17
3	187	17
4	441	17
5	1424	17
6	4841	17
7	5086	17

prune4.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

14.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	14.8b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

Compiler

Compiled 39 to 27 computations (30.8% saved)

localize7.0ms (0.5%)

Local error

Found 1 expressions with local error:

30.5b

(/.f64 (*.f64 b b) (*.f64 a a))

rewrite30.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64`
1×	`pow1_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `frac-2neg_binary64` `times-frac_binary64` `-un-lft-identity_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r*_binary64`

Counts

1 → 21

Calls

1 calls:

6.0ms

(/.f64 (*.f64 b b) (*.f64 a a))

Compiler

Compiled 377 to 150 computations (60.2% saved)

series22.0ms (1.6%)

Error

14.8b

Counts

1 → 6

Calls

1 calls:

21.0ms

(/.f64 (*.f64 b b) (*.f64 a a))

Compiler

Compiled 169 to 143 computations (15.4% saved)

simplify78.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

528×	`times-frac_binary64`
436×	`div-sub_binary64`
346×	`cancel-sign-sub-inv_binary64`
339×	`unswap-sqr_binary64`
327×	`associate-/l*_binary64`

Counts

27 → 23

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	47	431
1	118	297
2	406	272
3	1756	249
4	2608	249
5	3630	219
6	4444	216
7	5073	216

prune10.0ms (0.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	1	24

Error

Counts

24 → 1

Alt Table

Status	Error	Program
▶	0b	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))

Compiler

Compiled 146 to 97 computations (33.6% saved)

localize7.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.3b	(pow.f64 (/.f64 b a) 2)

rewrite31.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`unpow-prod-down_binary64`
9×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64` `*-un-lft-identity_binary64`
4×	`add-exp-log_binary64`
3×	`pow-unpow_binary64`
2×	`pow1_binary64` `pow-exp_binary64`

Counts

1 → 29

Calls

1 calls:

6.0ms

(pow.f64 (/.f64 b a) 2)

Compiler

Compiled 455 to 300 computations (34.1% saved)

series20.0ms (1.5%)

Error

Counts

1 → 6

Calls

1 calls:

19.0ms

(pow.f64 (/.f64 b a) 2)

Compiler

Compiled 169 to 143 computations (15.4% saved)

simplify60.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

677×	`associate-*l/_binary64`
537×	`associate-*r/_binary64`
394×	`log-div_binary64`
385×	`associate-/r*_binary64`
383×	`associate-/l/_binary64`

Counts

35 → 27

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	464
1	169	378
2	372	357
3	1250	352
4	4292	352
5	5068	352

prune10.0ms (0.7%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Error

Counts

28 → 1

Alt Table

Status	Error	Program
	0b	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))

Compiler

Compiled 194 to 118 computations (39.2% saved)

regimes87.0ms (6.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 818 to 526 computations (35.7% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`sub-neg_binary64` `+-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64` `*-commutative_binary64`
1×	`1-exp_binary64` `fabs-sub_binary64` `cancel-sign-sub-inv_binary64` `distribute-neg-frac_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	18	17
2	28	17
3	35	17
4	39	17
5	40	17
6	38	17

end1.0ms (0%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

sample823.0ms (60.2%)

Algorithm

1×

intervals

Results

276.0ms	8000×	body	128	valid
171.0ms	8000×	pre	128	true
4.0ms	118×	pre	128	false

Compiler

Compiled 46 to 30 computations (34.8% saved)

Details

analyze91.0ms (6.7%)

sample31.0ms (2.3%)

simplify50.0ms (3.7%)

prune4.0ms (0.3%)

localize7.0ms (0.5%)

rewrite30.0ms (2.2%)

series22.0ms (1.6%)

simplify78.0ms (5.7%)

prune10.0ms (0.7%)

localize7.0ms (0.5%)

rewrite31.0ms (2.3%)

series20.0ms (1.5%)

simplify60.0ms (4.4%)

prune10.0ms (0.7%)

regimes87.0ms (6.4%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample823.0ms (60.2%)

Profiling