Details

analyze827.0ms (14.4%)

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)

sample3.1s (53.9%)

Results

1.0s	1763×	body	1024	valid
1.0s	4733×	body	128	valid
409.0ms	1023×	body	512	valid
166.0ms	183×	body	2048	valid
136.0ms	554×	body	256	valid
112.0ms	182×	body	1024	invalid
75.0ms	206×	body	512	invalid
48.0ms	411×	body	128	invalid
41.0ms	167×	body	256	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify48.0ms (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

11.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	11.6b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

Compiler

Compiled 44 to 22 computations (50% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
✓	0.0b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	7.3b	(pow.f64 (/.f64 x (+.f64 x y)) x)

series74.0ms (1.3%)

Counts

3 → 72

Calls

3 calls:

38.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
26.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
7.0ms	(/.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)
5.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
3.0ms	(/.f64 x (+.f64 x y))

simplify164.0ms (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

prune234.0ms (4.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	268	5	273
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	269	5	274

Error

Counts

274 → 5

Alt Table

Status	Error	Program
	33.3b	(/.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) x) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) x)) x)
	22.2b	(-.f64 (/.f64 1 x) (/.f64 y x))
	14.6b	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	8.4b	(/.f64 1 x)
	11.6b	(/.f64 1 (/.f64 x (pow.f64 (/.f64 x (+.f64 x y)) x)))

Compiler

Compiled 7717 to 3023 computations (60.8% saved)

localize2.0ms (0%)

prune5.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	0	0
Total	5	5

Error

Counts

5 → 5

Alt Table

Status	Error	Program
	33.3b	(/.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) x) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) x)) x)
	22.2b	(-.f64 (/.f64 1 x) (/.f64 y x))
	14.6b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	8.4b	(/.f64 1 x)
▶	11.6b	(/.f64 1 (/.f64 x (pow.f64 (/.f64 x (+.f64 x y)) x)))

Compiler

Compiled 103 to 62 computations (39.8% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 x (+.f64 x y))
✓	0.0b	(/.f64 x (pow.f64 (/.f64 x (+.f64 x y)) x))
✓	0.0b	(/.f64 1 (/.f64 x (pow.f64 (/.f64 x (+.f64 x y)) x)))
	7.3b	(pow.f64 (/.f64 x (+.f64 x y)) x)

series79.0ms (1.4%)

Counts

2 → 48

Calls

2 calls:

42.0ms	(/.f64 x (pow.f64 (/.f64 x (+.f64 x y)) x))
36.0ms	(/.f64 1 (/.f64 x (pow.f64 (/.f64 x (+.f64 x y)) x)))

rewrite91.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

732×	`times-frac_binary64`
428×	`*-un-lft-identity_binary64`
332×	`add-sqr-sqrt_binary64`
332×	`add-cube-cbrt_binary64`
288×	`unpow-prod-down_binary64`

Counts

2 → 423

Calls

2 calls:

15.0ms	(/.f64 1 (/.f64 x (pow.f64 (/.f64 x (+.f64 x y)) x)))
10.0ms	(/.f64 x (pow.f64 (/.f64 x (+.f64 x y)) x))

simplify269.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

328×	`fma-def_binary64`
315×	`associate-r_binary64`
294×	`associate-/r*_binary64`
280×	`associate-/r/_binary64`
265×	`times-frac_binary64`

Counts

471 → 570

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	675	16060
1	1636	15026
2	4986	15026

prune401.0ms (7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	687	2	689
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	689	5	694

Error

Counts

694 → 5

Alt Table

Status	Error	Program
	14.6b	(/.f64 1 (*.f64 x (exp.f64 y)))
▶	14.6b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	8.4b	(/.f64 1 x)
✓	11.6b	(/.f64 1 (/.f64 x (pow.f64 (/.f64 x (+.f64 x y)) x)))
	32.8b	(/.f64 1 (/.f64 x (exp.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x y))) x))))

Compiler

Compiled 20322 to 7314 computations (64% 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)

series8.0ms (0.1%)

Counts

1 → 8

Calls

1 calls:

8.0ms

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

rewrite5.0ms (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:

4.0ms

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

simplify67.0ms (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

prune24.0ms (0.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	46	5	51

Error

Counts

51 → 5

Alt Table

Status	Error	Program
	14.6b	(/.f64 1 (*.f64 x (exp.f64 y)))
✓	14.6b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	8.4b	(/.f64 1 x)
✓	11.6b	(/.f64 1 (/.f64 x (pow.f64 (/.f64 x (+.f64 x y)) x)))
	32.8b	(/.f64 1 (/.f64 x (exp.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x y))) x))))

Compiler

Compiled 586 to 215 computations (63.3% saved)

regimes197.0ms (3.4%)

Accuracy

Total 0.6b remaining (97.1%)

Threshold costs 0.6b (97.1%)

Counts

29 → 3

Compiler

Compiled 1355 to 816 computations (39.8% saved)

bsearch33.0ms (0.6%)

Steps

Iters	Range		Point
7	1.394873118383103e-10	5.807086206467787e-9	5.7290786138117265e-9
1	-1.1646801357019459e+55	-1.0185932625395861e+43	-1.0893989905541004e+49

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	20	32
2	22	32
3	23	32
4	22	32

end66.0ms (1.2%)

Compiler: Compiled 95 to 60 computations (36.8% saved)

Details

analyze827.0ms (14.4%)

sample3.1s (53.9%)

simplify48.0ms (0.8%)

prune3.0ms (0%)

localize6.0ms (0.1%)

series74.0ms (1.3%)

rewrite33.0ms (0.6%)

simplify164.0ms (2.9%)

prune234.0ms (4.1%)

localize2.0ms (0%)

prune5.0ms (0.1%)

localize6.0ms (0.1%)

series79.0ms (1.4%)

rewrite91.0ms (1.6%)

simplify269.0ms (4.7%)

prune401.0ms (7%)

localize4.0ms (0.1%)

series8.0ms (0.1%)

rewrite5.0ms (0.1%)

simplify67.0ms (1.2%)

prune24.0ms (0.4%)

regimes197.0ms (3.4%)

bsearch33.0ms (0.6%)

simplify2.0ms (0%)

end66.0ms (1.2%)

Profiling