Details

analyze66.0ms (6.5%)

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
67.1%	32.8%	0.1%	7
71%	28.9%	0.1%	8
82.3%	17.6%	0.1%	9
84.9%	15%	0.1%	10
90.8%	9.1%	0.1%	11
92.2%	7.7%	0.1%	12
95.3%	4.6%	0.1%	13
96%	3.9%	0.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (1.2%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify102.0ms (9.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

prune2.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 8.6b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

8.0b	(/.f64 (*.f64 x y) (+.f64 y 1))

rewrite8.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_20538`
6×	`add-cbrt-cube_binary64_20574` `add-exp-log_binary64_20576`
4×	`associate-/r*_binary64_20482` `times-frac_binary64_20544`
3×	`add-cube-cbrt_binary64_20573` `add-sqr-sqrt_binary64_20560`
2×	`associate-/r/_binary64_20484` `div-exp_binary64_20589` `distribute-lft-out_binary64_20489` `cbrt-undiv_binary64_20572`
1×	`clear-num_binary64_20537` `cbrt-unprod_binary64_20571` `pow1_binary64_20599` `associate-/l*_binary64_20483` `frac-2neg_binary64_20549` `flip3-+_binary64_20541` `add-log-exp_binary64_20577` `prod-exp_binary64_20587` `div-inv_binary64_20535` `flip-+_binary64_20512`

Counts

1 → 25

Calls

1 calls:

6.0ms

(/.f64 (*.f64 x y) (+.f64 y 1))

series30.0ms (3%)

Counts

1 → 3

Calls

1 calls:

30.0ms

(/.f64 (*.f64 x y) (+.f64 y 1))

simplify72.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5519	354

prune25.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	2	29

Merged error: 0b

Counts

29 → 2

Compiler

Compiled 322 to 186 computations (42.2% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (/.f64 y (+.f64 y 1)))
0.0b	(/.f64 y (+.f64 y 1))

rewrite21.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_20538`
25×	`times-frac_binary64_20544` `add-sqr-sqrt_binary64_20560`
20×	`add-cube-cbrt_binary64_20573`
18×	`associate-r_binary64_20478`
9×	`add-cbrt-cube_binary64_20574` `add-exp-log_binary64_20576`
7×	`distribute-lft-out_binary64_20489`
4×	`pow1_binary64_20599` `associate-/r/_binary64_20484` `associate-/r*_binary64_20482`
3×	`associate-/l_binary64_20483` `associate-l*_binary64_20479`
2×	`cbrt-unprod_binary64_20571` `flip3-+_binary64_20541` `add-log-exp_binary64_20577` `prod-exp_binary64_20587` `unswap-sqr_binary64_20506` `div-inv_binary64_20535` `div-exp_binary64_20589` `flip-+_binary64_20512` `cbrt-undiv_binary64_20572`
1×	`clear-num_binary64_20537` `associate-r/_binary64_20480` `pow-prod-down_binary64_20609` `frac-2neg_binary64_20549` `-commutative_binary64_20469`

Counts

2 → 70

Calls

2 calls:

10.0ms	(*.f64 x (/.f64 y (+.f64 y 1)))
6.0ms	(/.f64 y (+.f64 y 1))

series42.0ms (4.1%)

Counts

2 → 6

Calls

2 calls:

30.0ms	(*.f64 x (/.f64 y (+.f64 y 1)))
13.0ms	(/.f64 y (+.f64 y 1))

simplify75.0ms (7.3%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5467	980

prune54.0ms (5.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	76	2	78

Merged error: 0b

Counts

78 → 2

Compiler

Compiled 988 to 585 computations (40.8% saved)

regimes44.0ms (4.3%)

Compiler: Compiled 214 to 188 computations (12.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample458.0ms (44.8%)

Algorithm

1×

intervals

Results

198.0ms

8000×

body

128

valid

Compiler

Compiled 107 to 79 computations (26.2% saved)

Details

analyze66.0ms (6.5%)

sample12.0ms (1.2%)

simplify102.0ms (9.9%)

prune2.0ms (0.2%)

localize5.0ms (0.4%)

rewrite8.0ms (0.8%)

series30.0ms (3%)

simplify72.0ms (7.1%)

prune25.0ms (2.5%)

localize5.0ms (0.4%)

rewrite21.0ms (2%)

series42.0ms (4.1%)

simplify75.0ms (7.3%)

prune54.0ms (5.2%)

regimes44.0ms (4.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample458.0ms (44.8%)

Profiling