Details

analyze4.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample12.0ms (1.2%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify100.0ms (9.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

prune2.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 x (+.f64 x 1))
0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

rewrite52.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`*-un-lft-identity_binary64_5193`
41×	`times-frac_binary64_5199`
40×	`add-sqr-sqrt_binary64_5215`
24×	`add-cube-cbrt_binary64_5228`
12×	`distribute-lft-out_binary64_5144`
11×	`associate-/r*_binary64_5137`
9×	`add-exp-log_binary64_5231`
8×	`difference-of-squares_binary64_5162`
7×	`add-cbrt-cube_binary64_5229`
6×	`distribute-lft-out--_binary64_5145` `associate-/l*_binary64_5138`
5×	`add-log-exp_binary64_5232`
4×	`difference-of-sqr-1_binary64_5163` `associate-/r/_binary64_5139` `pow1_binary64_5254`
3×	`div-inv_binary64_5190` `div-exp_binary64_5244`
2×	`flip-+_binary64_5167` `cbrt-undiv_binary64_5227` `clear-num_binary64_5192` `flip3-+_binary64_5196` `frac-2neg_binary64_5204`
1×	`flip3--_binary64_5197` `flip--_binary64_5168` `frac-add_binary64_5201` `sum-log_binary64_5284` `+-commutative_binary64_5123` `1-exp_binary64_5237` `pow-flip_binary64_5267` `rec-exp_binary64_5243` `inv-pow_binary64_5278`

Counts

3 → 100

Calls

3 calls:

34.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
6.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 x (+.f64 x 1))

series51.0ms (4.8%)

Counts

3 → 9

Calls

3 calls:

29.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
14.0ms	(/.f64 x (+.f64 x 1))
9.0ms	(/.f64 1 (-.f64 x 1))

simplify81.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5162	1579

prune101.0ms (9.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	108	2	110

Error

Counts

110 → 2

Compiler

Compiled 1864 to 1366 computations (26.7% saved)

localize8.0ms (0.7%)

Local error

Found 1 expressions with local error:

18.0b

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

rewrite10.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`times-frac_binary64_5199`
10×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193` `add-sqr-sqrt_binary64_5215`
4×	`associate-/r*_binary64_5137` `difference-of-sqr--1_binary64_5164`
3×	`add-cbrt-cube_binary64_5229` `associate-/l*_binary64_5138` `add-exp-log_binary64_5231`
2×	`flip-+_binary64_5167` `flip3-+_binary64_5196` `associate-/l/_binary64_5140` `associate-/r/_binary64_5139`
1×	`add-log-exp_binary64_5232` `div-inv_binary64_5190` `cbrt-undiv_binary64_5227` `clear-num_binary64_5192` `div-exp_binary64_5244` `pow1_binary64_5254` `frac-2neg_binary64_5204`

Counts

1 → 35

Calls

1 calls:

8.0ms

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

series29.0ms (2.7%)

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify67.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5866	909

prune35.0ms (3.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	38	2	40

Error

Counts

40 → 2

Compiler

Compiled 754 to 422 computations (44% saved)

regimes24.0ms (2.2%)

Accuracy

Total 0.0b remaining (98.4%)

Threshold costs 0.0b (98.4%)

Compiler

Compiled 198 to 158 computations (20.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	20
1	22	20

end0.0ms (0%)

sample482.0ms (45.1%)

Algorithm

1×

intervals

Results

246.0ms

8000×

body

128

valid

Compiler

Compiled 112 to 91 computations (18.8% saved)

Details

analyze4.0ms (0.4%)

sample12.0ms (1.2%)

simplify100.0ms (9.4%)

prune2.0ms (0.2%)

localize7.0ms (0.6%)

rewrite52.0ms (4.9%)

series51.0ms (4.8%)

simplify81.0ms (7.6%)

prune101.0ms (9.4%)

localize8.0ms (0.7%)

rewrite10.0ms (1%)

series29.0ms (2.7%)

simplify67.0ms (6.3%)

prune35.0ms (3.3%)

regimes24.0ms (2.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample482.0ms (45.1%)

Profiling