Details

analyze3.0ms (0.3%)

Algorithm

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)

sample10.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify387.0ms (31.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (292.0ms)

Iter	Nodes	Cost
0	7521	9

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (0.3%)

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)))

series22.0ms (1.8%)

Counts

1 → 6

Calls

1 calls:

22.0ms

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

Compiler

Compiled 77 to 73 computations (5.2% saved)

simplify138.0ms (11.2%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	4759	284
1	4759	284

prune16.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Error

Counts

24 → 2

Compiler

Compiled 244 to 164 computations (32.8% saved)

localize9.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.0b	(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 3))
0.0b	(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 3)

rewrite21.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`sqrt-prod_binary64_6232`
22×	`cbrt-prod_binary64_6247`
20×	`add-sqr-sqrt_binary64_6238`
19×	`*-un-lft-identity_binary64_6216`
16×	`cube-prod_binary64_6244` `unpow-prod-down_binary64_6295`
14×	`add-cube-cbrt_binary64_6251`
10×	`difference-of-squares_binary64_6185`
6×	`sqrt-div_binary64_6233` `pow1_binary64_6277`
4×	`cube-div_binary64_6245` `add-cbrt-cube_binary64_6252` `add-exp-log_binary64_6254`
3×	`flip3--_binary64_6220` `flip--_binary64_6191` `pow-pow_binary64_6288` `add-log-exp_binary64_6255` `pow-unpow_binary64_6293`
2×	`sqr-pow_binary64_6188` `cube-mult_binary64_6246` `cbrt-div_binary64_6248` `sqrt-pow1_binary64_6234` `unpow3_binary64_6282` `pow1/2_binary64_6296`
1×	`rem-cube-cbrt_binary64_6239` `rem-sqrt-square_binary64_6229` `pow1/3_binary64_6298` `pow-to-exp_binary64_6285` `rem-cbrt-cube_binary64_6240` `sqrt-pow2_binary64_6235` `pow-exp_binary64_6284`

Counts

3 → 88

Calls

3 calls:

6.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 3))
5.0ms	(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 3)
3.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

series84.0ms (6.8%)

Counts

3 → 18

Calls

3 calls:

36.0ms	(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 3)
25.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))
23.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 3))

Compiler

Compiled 275 to 263 computations (4.4% saved)

simplify71.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4989	1483
1	4989	1483

prune80.0ms (6.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	106	2	108

Error

Counts

108 → 2

Compiler

Compiled 1322 to 917 computations (30.6% saved)

regimes29.0ms (2.3%)

Accuracy

Total 0.0b remaining (78.6%)

Threshold costs 0.0b (78.6%)

Compiler

Compiled 94 to 84 computations (10.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	14
1	27	14

end0.0ms (0%)

sample355.0ms (28.7%)

Algorithm

1×

intervals

Results

188.0ms

8000×

body

128

valid

Compiler

Compiled 32 to 30 computations (6.3% saved)

Details

analyze3.0ms (0.3%)

sample10.0ms (0.8%)

simplify387.0ms (31.3%)

prune2.0ms (0.2%)

localize4.0ms (0.3%)

rewrite4.0ms (0.3%)

series22.0ms (1.8%)

simplify138.0ms (11.2%)

prune16.0ms (1.3%)

localize9.0ms (0.7%)

rewrite21.0ms (1.7%)

series84.0ms (6.8%)

simplify71.0ms (5.8%)

prune80.0ms (6.5%)

regimes29.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample355.0ms (28.7%)

Profiling