Details

analyze100.0ms (4.7%)

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
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	46.8%	28.2%	7
31.2%	35.9%	32.9%	8
39%	25%	36%	9
42.9%	18.7%	38.3%	10
47.2%	12.9%	39.9%	11
49.4%	9.6%	41.1%	12
51.6%	6.5%	41.9%	13
52.7%	4.8%	42.4%	14

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample17.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify98.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	38	16
1	38	16

prune4.0ms (0.2%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 16 computations (27.3% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))
0.0b	(.f64 x (+.f64 x (.f64 2 y)))
0.0b	(.f64 x (+.f64 x (.f64 2 y)))
0.0b	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))

rewrite14.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_18514`
4×	`add-exp-log_binary64_18530` `pow1_binary64_18553` `add-cbrt-cube_binary64_18528` `add-cube-cbrt_binary64_18527` `*-un-lft-identity_binary64_18492` `add-log-exp_binary64_18531`
3×	`associate-l_binary64_18433` `associate-r_binary64_18432`
2×	`flip-+_binary64_18466` `associate-+l+_binary64_18425` `distribute-rgt-in_binary64_18442` `associate-*r/_binary64_18434` `flip3-+_binary64_18495` `distribute-lft-in_binary64_18441`
1×	`+-commutative_binary64_18422` `unswap-sqr_binary64_18460` `*-commutative_binary64_18423` `sum-log_binary64_18583` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `pow-prod-down_binary64_18563`

Counts

2 → 35

Calls

4 calls:

6.0ms	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))
5.0ms	(.f64 x (+.f64 x (.f64 2 y)))
0.0ms	(.f64 x (+.f64 x (.f64 2 y)))
0.0ms	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))

series249.0ms (11.6%)

Counts

2 → 30

Calls

2 calls:

158.0ms	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))
91.0ms	(.f64 x (+.f64 x (.f64 2 y)))

Compiler

Compiled 432 to 363 computations (16% saved)

simplify60.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5056	841

prune54.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	2	66

Error

Counts

66 → 2

Compiler

Compiled 867 to 441 computations (49.1% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y (+.f64 y (*.f64 x 2))))
0.0b	(+.f64 (.f64 x x) (.f64 y (+.f64 y (*.f64 x 2))))

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_18531`
2×	`associate-+r+_binary64_18424`
1×	`add-sqr-sqrt_binary64_18514` `add-exp-log_binary64_18530` `pow1_binary64_18553` `flip-+_binary64_18466` `add-cbrt-cube_binary64_18528` `distribute-rgt-in_binary64_18442` `+-commutative_binary64_18422` `add-cube-cbrt_binary64_18527` `sum-log_binary64_18583` `*-un-lft-identity_binary64_18492` `flip3-+_binary64_18495` `distribute-lft-in_binary64_18441`

Counts

1 → 13

Calls

2 calls:

4.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 y (*.f64 x 2))))
0.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 y (*.f64 x 2))))

series156.0ms (7.2%)

Counts

1 → 18

Calls

1 calls:

156.0ms

(+.f64 (*.f64 x x) (*.f64 y (+.f64 y (*.f64 x 2))))

Compiler

Compiled 228 to 204 computations (10.5% saved)

simplify75.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4963	462
1	4963	462

prune20.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	31	2	33

Error

Counts

33 → 2

Compiler

Compiled 373 to 189 computations (49.3% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	163
1	62	163

regimes39.0ms (1.8%)

Compiler: Compiled 232 to 186 computations (19.8% saved)

bsearch0.0ms (0%)

regimes89.0ms (4.2%)

Compiler: Compiled 50 to 62 computations (-24% saved)

bsearch65.0ms (3%)

Steps

Iters	Range		Point
1	5.778118890372212e+33	6.288909155193094e+33	5.905816456577433e+33
6	3.2119805745996504e-25	1.3680076244169845e-24	1.3544328070757095e-24
8	1.9891361092251266e-88	2.9349279517531317e-84	4.9185382277459305e-85
8	-2.144866431008996e-140	-3.009075689632568e-143	-1.7891248847175876e-140
7	-8.479405398021411e-94	-8.316881435077696e-96	-1.867192135062791e-94
6	-3.297422448635959e-24	-3.4446371612867107e-25	-1.1211958490574929e-24

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes85.0ms (3.9%)

Compiler: Compiled 36 to 50 computations (-38.9% saved)

bsearch64.0ms (3%)

Steps

Iters	Range		Point
1	5.778118890372212e+33	6.288909155193094e+33	5.905816456577433e+33
6	3.2119805745996504e-25	1.3680076244169845e-24	4.1282807451357015e-25
8	1.9891361092251266e-88	2.9349279517531317e-84	2.7679225815299694e-84
8	-2.144866431008996e-140	-3.009075689632568e-143	-2.0241671006664829e-140
7	-8.479405398021411e-94	-8.316881435077696e-96	-1.2797953691330216e-95
6	-3.297422448635959e-24	-3.4446371612867107e-25	-8.021633434638617e-25

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes77.0ms (3.6%)

Compiler: Compiled 22 to 38 computations (-72.7% saved)

bsearch50.0ms (2.3%)

Steps

Iters	Range		Point
7	7.039139780087264e-13	5.357276662293399e-11	7.150922772501069e-13
8	7.3187924021188895e-90	8.894247472550894e-87	7.5544806308271365e-90
8	1.0825033302835154e-117	1.1375816100234493e-113	2.1877696116171055e-115
6	-1.3912258584527666e-24	-9.845217835667285e-26	-9.997791734835163e-26

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes18.0ms (0.8%)

Compiler: Compiled 16 to 32 computations (-100% saved)

bsearch0.0ms (0%)

regimes18.0ms (0.8%)

Accuracy

Total 0.0b remaining (68%)

Threshold costs 0.0b (68%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch7.0ms (0.3%)

Compiler: Compiled 169 to 108 computations (36.1% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	93	224
1	93	224

end0.0ms (0%)

sample763.0ms (35.5%)

Algorithm

1×

intervals

Results

271.0ms	8000×	body	128	valid
7.0ms	207×	body	128	invalid

Compiler

Compiled 295 to 218 computations (26.1% saved)

Pareto

0.4832509162472747

Details

analyze100.0ms (4.7%)

sample17.0ms (0.8%)

simplify98.0ms (4.5%)

prune4.0ms (0.2%)

localize7.0ms (0.3%)

rewrite14.0ms (0.7%)

series249.0ms (11.6%)

simplify60.0ms (2.8%)

prune54.0ms (2.5%)

localize7.0ms (0.3%)

rewrite6.0ms (0.3%)

series156.0ms (7.2%)

simplify75.0ms (3.5%)

prune20.0ms (0.9%)

simplify4.0ms (0.2%)

regimes39.0ms (1.8%)

bsearch0.0ms (0%)

regimes89.0ms (4.2%)

bsearch65.0ms (3%)

regimes85.0ms (3.9%)

bsearch64.0ms (3%)

regimes77.0ms (3.6%)

bsearch50.0ms (2.3%)

regimes18.0ms (0.8%)

bsearch0.0ms (0%)

regimes18.0ms (0.8%)

bsearch7.0ms (0.3%)

simplify7.0ms (0.3%)

end0.0ms (0%)

sample763.0ms (35.5%)

Profiling