Details

analyze95.0ms (5.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16
0	1	1
1	1	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)

sample18.0ms (1%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

prune2.0ms (0.1%)

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)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite151.0ms (8.1%)

Algorithm

1×	rewrite-expression-head

Error

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×	`pow1_binary64_5254` `difference-of-sqr-1_binary64_5163` `associate-/r/_binary64_5139`
3×	`div-exp_binary64_5244` `div-inv_binary64_5190`
2×	`cbrt-undiv_binary64_5227` `frac-2neg_binary64_5204` `clear-num_binary64_5192` `flip3-+_binary64_5196` `flip-+_binary64_5167`
1×	`inv-pow_binary64_5278` `pow-flip_binary64_5267` `1-exp_binary64_5237` `rec-exp_binary64_5243` `flip3--_binary64_5197` `flip--_binary64_5168` `sum-log_binary64_5284` `frac-add_binary64_5201` `+-commutative_binary64_5123`

Counts

3 → 100

Calls

3 calls:

31.0ms	(+.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))

Compiler

Compiled 1870 to 1402 computations (25% saved)

series142.0ms (7.7%)

Error

0.0b

Counts

3 → 31

Calls

3 calls:

56.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
30.0ms	(/.f64 1 (-.f64 x 1))
28.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 891 to 749 computations (15.9% saved)

simplify71.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5276	1814

prune118.0ms (6.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	3	132

Error

Counts

132 → 3

Compiler

Compiled 2126 to 1554 computations (26.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 2 (.f64 x x))

rewrite21.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`
3×	`pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `add-sqr-sqrt_binary64_5215` `associate-l_binary64_5134`
2×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
1×	`add-log-exp_binary64_5232` `unswap-sqr_binary64_5161` `associate-r_binary64_5133` `*-commutative_binary64_5124`

Counts

1 → 19

Calls

1 calls:

8.0ms

(*.f64 2 (*.f64 x x))

Compiler

Compiled 231 to 151 computations (34.6% saved)

series27.0ms (1.4%)

Error

Counts

1 → 3

Calls

1 calls:

25.0ms

(*.f64 2 (*.f64 x x))

Compiler

Compiled 63 to 61 computations (3.2% saved)

simplify64.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5069	180

prune15.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	22	3	25

Error

Counts

25 → 3

Compiler

Compiled 225 to 158 computations (29.8% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (+.f64 x 1))
1.6b	(exp.f64 (neg.f64 (log.f64 (+.f64 -1 x))))

rewrite78.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`*-un-lft-identity_binary64_5193`
15×	`add-cube-cbrt_binary64_5228` `add-sqr-sqrt_binary64_5215`
12×	`exp-prod_binary64_5245` `times-frac_binary64_5199`
5×	`distribute-lft-out_binary64_5144`
4×	`pow1_binary64_5254` `distribute-rgt-neg-in_binary64_5151` `distribute-lft-neg-in_binary64_5150` `log-prod_binary64_5279` `distribute-neg-in_binary64_5154` `exp-sum_binary64_5239` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `associate-/r*_binary64_5137`
3×	`add-log-exp_binary64_5232` `associate-/l*_binary64_5138`
2×	`log-pow_binary64_5282` `rem-exp-log_binary64_5233` `associate-/r/_binary64_5139`
1×	`neg-mul-1_binary64_5189` `neg-sub0_binary64_5188` `exp-diff_binary64_5241` `exp-neg_binary64_5240` `neg-log_binary64_5286` `div-exp_binary64_5244` `cbrt-undiv_binary64_5227` `frac-2neg_binary64_5204` `clear-num_binary64_5192` `div-inv_binary64_5190` `flip3-+_binary64_5196` `flip-+_binary64_5167`

Counts

2 → 60

Calls

2 calls:

7.0ms	(/.f64 x (+.f64 x 1))
5.0ms	(exp.f64 (neg.f64 (log.f64 (+.f64 -1 x))))

Compiler

Compiled 1117 to 846 computations (24.3% saved)

series72.0ms (3.9%)

Error

Counts

2 → 15

Calls

2 calls:

34.0ms	(exp.f64 (neg.f64 (log.f64 (+.f64 -1 x))))
24.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 562 to 468 computations (16.7% saved)

simplify59.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4961	841
1	4961	841

prune68.0ms (3.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	75	3	78

Error

Counts

78 → 3

Compiler

Compiled 1245 to 932 computations (25.1% saved)

regimes72.0ms (3.9%)

Accuracy

Total 0.0b remaining (78.6%)

Threshold costs 0.0b (78.6%)

Compiler

Compiled 617 to 513 computations (16.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	25
1	23	25

end0.0ms (0%)

sample756.0ms (40.7%)

Algorithm

1×

intervals

Results

245.0ms

8000×

body

128

valid

Compiler

Compiled 308 to 255 computations (17.2% saved)

Details

analyze95.0ms (5.1%)

sample18.0ms (1%)

simplify7.0ms (0.4%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite151.0ms (8.1%)

series142.0ms (7.7%)

simplify71.0ms (3.8%)

prune118.0ms (6.3%)

localize4.0ms (0.2%)

rewrite21.0ms (1.2%)

series27.0ms (1.4%)

simplify64.0ms (3.4%)

prune15.0ms (0.8%)

localize8.0ms (0.4%)

rewrite78.0ms (4.2%)

series72.0ms (3.9%)

simplify59.0ms (3.2%)

prune68.0ms (3.7%)

regimes72.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample756.0ms (40.7%)

Profiling