Details

analyze799.0ms (13.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
3.1%	90.5%	6.3%	6
4.7%	85.9%	9.5%	7
21.1%	64%	14.9%	8
23.4%	58.9%	17.7%	9
27.7%	51.3%	21%	10
28.9%	48.5%	22.6%	11
31.1%	44.4%	24.5%	12
31.7%	42.9%	25.4%	13
32.7%	41%	26.3%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample2.8s (47.4%)

Results

1.1s	1724×	body	1024	valid
650.0ms	4766×	body	128	valid
395.0ms	1000×	body	512	valid
167.0ms	167×	body	2048	valid
152.0ms	599×	body	256	valid
95.0ms	177×	body	1024	invalid
84.0ms	218×	body	512	invalid
48.0ms	415×	body	128	invalid
39.0ms	152×	body	256	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify46.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

740×	`fma-def_binary64`
522×	`unswap-sqr_binary64`
335×	`fma-neg_binary64`
256×	`associate-l_binary64`
216×	`associate-r_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	16	13
2	25	13
3	53	13
4	116	13
5	276	13
6	665	13
7	2268	13
8	4318	13
9	4902	13

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

10.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	10.8b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

Compiler

Compiled 44 to 22 computations (50% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	0.0b	(/.f64 x (+.f64 x y))
✓	6.2b	(pow.f64 (/.f64 x (+.f64 x y)) x)

series97.0ms (1.7%)

Counts

3 → 72

Calls

3 calls:

53.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
35.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
9.0ms	(/.f64 x (+.f64 x y))

rewrite33.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64`
118×	`*-un-lft-identity_binary64`
90×	`unpow-prod-down_binary64`
80×	`add-sqr-sqrt_binary64`
80×	`add-cube-cbrt_binary64`

Counts

3 → 178

Calls

3 calls:

8.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
6.0ms	(/.f64 x (+.f64 x y))
5.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)

simplify169.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

358×	`associate-/l*_binary64`
339×	`times-frac_binary64`
332×	`fma-def_binary64`
265×	`fma-neg_binary64`
253×	`associate-/r*_binary64`

Counts

250 → 273

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	564	7650
1	1419	7378
2	4947	7378
3	5165	7378

prune153.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	270	3	273
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	270	4	274

Error

0.0b

Counts

274 → 4

Alt Table

Status	Error	Program
	10.8b	(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x) (/.f64 (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x) x))
	12.6b	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	8.8b	(/.f64 1 x)
✓	10.8b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

Compiler

Compiled 7686 to 2997 computations (61% saved)

localize2.0ms (0%)

prune3.0ms (0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Error

0.0b

Counts

4 → 4

Alt Table

Status	Error	Program
▶	10.8b	(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x) (/.f64 (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x) x))
	12.6b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	8.8b	(/.f64 1 x)
✓	10.8b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

Compiler

Compiled 72 to 36 computations (50% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x) (/.f64 (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x) x))
	0.0b	(/.f64 x (+.f64 x y))
✓	1.4b	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x)
✓	5.0b	(sqrt.f64 (/.f64 x (+.f64 x y)))

series446.0ms (7.7%)

Counts

3 → 38

Calls

3 calls:

319.0ms	(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x) (/.f64 (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x) x))
96.0ms	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x)
30.0ms	(sqrt.f64 (/.f64 x (+.f64 x y)))

rewrite90.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

184×	`times-frac_binary64`
175×	`add-sqr-sqrt_binary64`
138×	`unpow-prod-down_binary64`
130×	`sqrt-prod_binary64`
123×	`*-un-lft-identity_binary64`

Counts

3 → 231

Calls

3 calls:

38.0ms	(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x) (/.f64 (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x) x))
5.0ms	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x)
4.0ms	(sqrt.f64 (/.f64 x (+.f64 x y)))

simplify188.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

562×	`fma-def_binary64`
330×	`associate-/l*_binary64`
315×	`associate-l_binary64`
298×	`associate-r_binary64`
235×	`times-frac_binary64`

Counts

269 → 369

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	424	8925
1	1076	8319
2	4516	8291
3	4998	8291

prune702.0ms (12.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	593	0	593
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	593	4	597

Error

0.0b

Counts

597 → 4

Alt Table

Status	Error	Program
✓	10.8b	(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x) (/.f64 (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x) x))
▶	12.6b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	8.8b	(/.f64 1 x)
✓	10.8b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

Compiler

Compiled 18488 to 3963 computations (78.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (exp.f64 (neg.f64 y)) x)

series7.0ms (0.1%)

Counts

1 → 8

Calls

1 calls:

7.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`times-frac_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
3×	`associate-/r*_binary64`

Counts

1 → 31

Calls

1 calls:

6.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

simplify68.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

998×	`fma-neg_binary64`
511×	`fma-def_binary64`
397×	`div-sub_binary64`
389×	`associate-/l*_binary64`
297×	`unswap-sqr_binary64`

Counts

39 → 46

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	75	565
1	149	524
2	369	516
3	905	516
4	2769	509
5	4190	509
6	5158	509

prune26.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	46	4	50

Error

Counts

50 → 4

Alt Table

Status	Error	Program
	12.6b	(/.f64 (/.f64 -1 (exp.f64 y)) (neg.f64 x))
✓	8.8b	(/.f64 1 x)
✓	10.8b	(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x) (/.f64 (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x) x))
✓	10.8b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

Compiler

Compiled 583 to 206 computations (64.7% saved)

regimes95.0ms (1.6%)

Accuracy

Total 0.7b remaining (95.6%)

Threshold costs 0.7b (95.6%)

Counts

14 → 3

Compiler

Compiled 689 to 354 computations (48.6% saved)

bsearch44.0ms (0.8%)

Steps

Iters	Range		Point
10	1.24438480894675e-40	3.7524418399939456e-25	3.700480968675798e-25
2	-2.147881526072531e+24	-15603725172860.898	-9229002597363212.0

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	35
1	26	35
2	30	35
3	32	35
4	31	35

end59.0ms (1%)

Compiler: Compiled 96 to 61 computations (36.5% saved)

Details

analyze799.0ms (13.8%)

sample2.8s (47.4%)

simplify46.0ms (0.8%)

prune3.0ms (0%)

localize5.0ms (0.1%)

series97.0ms (1.7%)

rewrite33.0ms (0.6%)

simplify169.0ms (2.9%)

prune153.0ms (2.6%)

localize2.0ms (0%)

prune3.0ms (0%)

localize9.0ms (0.2%)

series446.0ms (7.7%)

rewrite90.0ms (1.5%)

simplify188.0ms (3.2%)

prune702.0ms (12.1%)

localize4.0ms (0.1%)

series7.0ms (0.1%)

rewrite7.0ms (0.1%)

simplify68.0ms (1.2%)

prune26.0ms (0.4%)

regimes95.0ms (1.6%)

bsearch44.0ms (0.8%)

simplify3.0ms (0%)

end59.0ms (1%)

Profiling