Details

analyze887.0ms (14.5%)

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)

sample2.9s (47.8%)

Results

1.1s	1775×	body	1024	valid
684.0ms	4693×	body	128	valid
456.0ms	1061×	body	512	valid
194.0ms	168×	body	2048	valid
144.0ms	559×	body	256	valid
108.0ms	192×	body	1024	invalid
103.0ms	239×	body	512	invalid
52.0ms	415×	body	128	invalid
37.0ms	148×	body	256	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify51.0ms (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

10.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	10.4b	(/.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 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	0.0b	(/.f64 x (+.f64 x y))
✓	5.3b	(pow.f64 (/.f64 x (+.f64 x y)) x)

series102.0ms (1.7%)

Counts

3 → 72

Calls

3 calls:

55.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
38.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
9.0ms	(/.f64 x (+.f64 x y))

rewrite33.0ms (0.5%)

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))

simplify172.0ms (2.8%)

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

prune164.0ms (2.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	270	3	273
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	271	3	274

Error

Counts

274 → 3

Alt Table

Status	Error	Program
	32.3b	(.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x) (/.f64 (pow.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) x) x))
	13.4b	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	8.2b	(/.f64 1 x)

Compiler

Compiled 7685 to 2999 computations (61% saved)

localize2.0ms (0%)

prune2.0ms (0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Error

Counts

3 → 3

Alt Table

Status	Error	Program
	32.3b	(.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x) (/.f64 (pow.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) x) x))
▶	13.4b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	8.2b	(/.f64 1 x)

Compiler

Compiled 71 to 38 computations (46.5% 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)

series23.0ms (0.4%)

Counts

1 → 8

Calls

1 calls:

23.0ms

(/.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)

simplify69.0ms (1.1%)

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

prune20.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	46	3	49

Error

Counts

49 → 3

Alt Table

Status	Error	Program
▶	32.3b	(.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x) (/.f64 (pow.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) x) x))
✓	13.4b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	8.2b	(/.f64 1 x)

Compiler

Compiled 601 to 214 computations (64.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x) (/.f64 (pow.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) x) x))
✓	0.5b	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
✓	0.5b	(cbrt.f64 (+.f64 x y))
✓	1.5b	(pow.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) x)

series236.0ms (3.9%)

Counts

4 → 96

Calls

4 calls:

143.0ms	(.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x) (/.f64 (pow.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) x) x))
45.0ms	(pow.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) x)
26.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
22.0ms	(cbrt.f64 (+.f64 x y))

rewrite122.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

227×	`times-frac_binary64`
194×	`add-sqr-sqrt_binary64`
156×	`unpow-prod-down_binary64`
155×	`add-exp-log_binary64`
154×	`*-un-lft-identity_binary64`

Counts

4 → 319

Calls

4 calls:

42.0ms	(.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x) (/.f64 (pow.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) x) x))
10.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
6.0ms	(pow.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) x)
2.0ms	(cbrt.f64 (+.f64 x y))

simplify271.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

501×	`times-frac_binary64`
486×	`fma-def_binary64`
319×	`*-commutative_binary64`
217×	`associate-/r/_binary64`
180×	`sqr-pow_binary64`

Counts

415 → 503

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	902	17066
1	2467	16382
2	4993	16382

prune404.0ms (6.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	597	0	597
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	597	3	600

Error

Counts

600 → 3

Alt Table

Status	Error	Program
✓	32.3b	(.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x) (/.f64 (pow.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) x) x))
✓	13.4b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	8.2b	(/.f64 1 x)

Compiler

Compiled 26820 to 10462 computations (61% saved)

regimes472.0ms (7.7%)

Accuracy

Total 1.5b remaining (97.9%)

Threshold costs 0b (0%)

Counts

66 → 3

Compiler

Compiled 4052 to 2319 computations (42.8% saved)

bsearch81.0ms (1.3%)

Steps

Iters	Range		Point
9	8.701848886434634e-5	5.739292744125585	4.426045253680128
10	-2119332.6684057955	-1.9492790561626444e-10	-18.571610858935497

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`/-rgt-identity_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	56
1	29	56
2	31	56
3	32	56
4	31	56

end61.0ms (1%)

Compiler: Compiled 114 to 59 computations (48.2% saved)

Details

analyze887.0ms (14.5%)

sample2.9s (47.8%)

simplify51.0ms (0.8%)

prune3.0ms (0%)

localize6.0ms (0.1%)

series102.0ms (1.7%)

rewrite33.0ms (0.5%)

simplify172.0ms (2.8%)

prune164.0ms (2.7%)

localize2.0ms (0%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series23.0ms (0.4%)

rewrite5.0ms (0.1%)

simplify69.0ms (1.1%)

prune20.0ms (0.3%)

localize12.0ms (0.2%)

series236.0ms (3.9%)

rewrite122.0ms (2%)

simplify271.0ms (4.4%)

prune404.0ms (6.6%)

regimes472.0ms (7.7%)

bsearch81.0ms (1.3%)

simplify3.0ms (0.1%)

end61.0ms (1%)

Profiling