Details

analyze382.0ms (17.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7521	9
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample11.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify297.0ms (13.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (291.0ms)

Iter	Nodes	Cost
0	7521	9

prune2.0ms (0.1%)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`sqrt-prod_binary64_6232`
4×	`add-sqr-sqrt_binary64_6238`
3×	`*-un-lft-identity_binary64_6216`
2×	`difference-of-squares_binary64_6185` `add-cube-cbrt_binary64_6251` `sqrt-div_binary64_6233` `pow1_binary64_6277`
1×	`rem-sqrt-square_binary64_6229` `flip3--_binary64_6220` `sqrt-pow1_binary64_6234` `pow1/2_binary64_6296` `flip--_binary64_6191` `add-cbrt-cube_binary64_6252` `add-log-exp_binary64_6255` `add-exp-log_binary64_6254`

Counts

1 → 17

Calls

1 calls:

3.0ms

(sqrt.f64 (-.f64 1 (*.f64 x x)))

series23.0ms (1%)

Counts

1 → 3

Calls

1 calls:

23.0ms

(sqrt.f64 (-.f64 1 (*.f64 x x)))

simplify59.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5048	289

prune18.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	3	21

Error

Counts

21 → 3

Compiler

Compiled 259 to 177 computations (31.7% saved)

localize11.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 (pow.f64 x 4)))
0.0b	(sqrt.f64 (+.f64 1 (*.f64 x x)))
0.0b	(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))

rewrite38.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

125×	`sqrt-prod_binary64_6232`
105×	`add-sqr-sqrt_binary64_6238`
87×	`*-un-lft-identity_binary64_6216`
78×	`times-frac_binary64_6222`
48×	`difference-of-squares_binary64_6185`
47×	`add-cube-cbrt_binary64_6251`
16×	`sqr-pow_binary64_6188` `unpow-prod-down_binary64_6295`
13×	`associate-/l*_binary64_6161`
8×	`distribute-lft-out--_binary64_6168` `sqrt-div_binary64_6233`
6×	`associate-/r*_binary64_6160`
5×	`add-cbrt-cube_binary64_6252` `pow1_binary64_6277` `add-exp-log_binary64_6254`
3×	`add-log-exp_binary64_6255`
2×	`rem-sqrt-square_binary64_6229` `associate-/r/_binary64_6162` `flip3--_binary64_6220` `flip-+_binary64_6190` `associate-/l/_binary64_6163` `sqrt-pow1_binary64_6234` `pow1/2_binary64_6296` `flip--_binary64_6191` `flip3-+_binary64_6219`
1×	`div-inv_binary64_6213` `clear-num_binary64_6215` `cbrt-undiv_binary64_6250` `frac-2neg_binary64_6227` `sqrt-undiv_binary64_6237` `div-exp_binary64_6267`

Counts

3 → 151

Calls

3 calls:

12.0ms	(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
6.0ms	(sqrt.f64 (-.f64 1 (pow.f64 x 4)))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 x x)))

series115.0ms (5.2%)

Counts

3 → 9

Calls

3 calls:

54.0ms	(sqrt.f64 (-.f64 1 (pow.f64 x 4)))
42.0ms	(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
18.0ms	(sqrt.f64 (+.f64 1 (*.f64 x x)))

simplify136.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4914	4768
1	4914	4768

prune217.0ms (9.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	161	2	163

Error

Counts

163 → 2

Compiler

Compiled 3786 to 2675 computations (29.3% saved)

localize10.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x))))
0.0b	(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))

rewrite32.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

83×	`add-sqr-sqrt_binary64_6238`
66×	`*-un-lft-identity_binary64_6216`
61×	`times-frac_binary64_6222`
42×	`difference-of-squares_binary64_6185`
36×	`sqrt-prod_binary64_6232`
31×	`add-cube-cbrt_binary64_6251`
14×	`sqr-pow_binary64_6188` `unpow-prod-down_binary64_6295`
10×	`associate-/l*_binary64_6161`
7×	`distribute-lft-out--_binary64_6168`
4×	`associate-/r/_binary64_6162` `add-cbrt-cube_binary64_6252` `add-exp-log_binary64_6254`
3×	`associate-/r*_binary64_6160` `pow1_binary64_6277`
2×	`div-inv_binary64_6213` `rem-sqrt-square_binary64_6229` `flip-+_binary64_6190` `associate-/l/_binary64_6163` `flip3-+_binary64_6219` `add-log-exp_binary64_6255`
1×	`clear-num_binary64_6215` `cbrt-undiv_binary64_6250` `flip3--_binary64_6220` `frac-2neg_binary64_6227` `sqrt-pow1_binary64_6234` `sqrt-div_binary64_6233` `div-exp_binary64_6267` `pow1/2_binary64_6296` `div-sub_binary64_6221` `flip--_binary64_6191`

Counts

2 → 108

Calls

2 calls:

11.0ms	(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))
11.0ms	(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x))))

series117.0ms (5.3%)

Counts

2 → 6

Calls

2 calls:

69.0ms	(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))
47.0ms	(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x))))

simplify106.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5022	3264

prune131.0ms (6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	114	2	116

Error

Counts

116 → 2

Compiler

Compiled 2545 to 1698 computations (33.3% saved)

regimes61.0ms (2.8%)

Accuracy

Total 0.0b remaining (87.5%)

Threshold costs 0.0b (87.5%)

Compiler

Compiled 331 to 277 computations (16.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	18
1	21	18

end0.0ms (0%)

sample418.0ms (19.1%)

Algorithm

1×

intervals

Results

185.0ms

8000×

body

128

valid

Compiler

Compiled 76 to 65 computations (14.5% saved)

Details

analyze382.0ms (17.4%)

sample11.0ms (0.5%)

simplify297.0ms (13.5%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite4.0ms (0.2%)

series23.0ms (1%)

simplify59.0ms (2.7%)

prune18.0ms (0.8%)

localize11.0ms (0.5%)

rewrite38.0ms (1.7%)

series115.0ms (5.2%)

simplify136.0ms (6.2%)

prune217.0ms (9.9%)

localize10.0ms (0.5%)

rewrite32.0ms (1.5%)

series117.0ms (5.3%)

simplify106.0ms (4.8%)

prune131.0ms (6%)

regimes61.0ms (2.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample418.0ms (19.1%)

Profiling