Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	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%	0.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample12.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify92.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

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

31.2b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

30.1b	(sqrt.f64 (.f64 (.f64 2 x) x))
30.1b	(sqrt.f64 (.f64 (.f64 2 x) x))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_132`
3×	`sqrt-pow1_binary64_89` `pow-prod-down_binary64_142`
1×	`add-cbrt-cube_binary64_107` `add-log-exp_binary64_110` `*-un-lft-identity_binary64_71` `add-exp-log_binary64_109` `sqrt-prod_binary64_87` `add-cube-cbrt_binary64_106` `add-sqr-sqrt_binary64_93` `pow1/2_binary64_151`

Counts

1 → 12

Calls

2 calls:

4.0ms	(sqrt.f64 (.f64 (.f64 2 x) x))
0.0ms	(sqrt.f64 (.f64 (.f64 2 x) x))

series29.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

29.0ms

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

Compiler

Compiled 28 to 28 computations (0% saved)

simplify153.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4798	123
1	4798	123

prune25.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	11	4	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	5	16

Error

0.1b

Counts

16 → 5

Compiler

Compiled 166 to 128 computations (22.9% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.4b	(*.f64 x (sqrt.f64 2))
0.4b	(*.f64 x (sqrt.f64 2))

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_93`
6×	`associate-r_binary64_11`
4×	`*-un-lft-identity_binary64_71` `sqrt-prod_binary64_87` `add-cube-cbrt_binary64_106`
3×	`add-cbrt-cube_binary64_107` `associate-l_binary64_12` `add-exp-log_binary64_109` `pow1_binary64_132`
2×	`unswap-sqr_binary64_39`
1×	`add-log-exp_binary64_110` `*-commutative_binary64_2` `prod-exp_binary64_120` `cbrt-unprod_binary64_104` `pow-prod-down_binary64_142`

Counts

1 → 22

Calls

2 calls:

5.0ms	(*.f64 x (sqrt.f64 2))
0.0ms	(*.f64 x (sqrt.f64 2))

series29.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

29.0ms

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

Compiler

Compiled 24 to 24 computations (0% saved)

simplify43.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5010	211

prune26.0ms (1.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	23	7	30

Error

0.1b

Counts

30 → 7

Compiler

Compiled 250 to 203 computations (18.8% saved)

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
0.2b	(*.f64 x (sqrt.f64 (sqrt.f64 2)))
0.2b	(*.f64 x (sqrt.f64 (sqrt.f64 2)))
0.3b	(.f64 (.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

rewrite20.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`sqrt-prod_binary64_87`
18×	`associate-r_binary64_11`
15×	`add-sqr-sqrt_binary64_93`
9×	`add-cbrt-cube_binary64_107` `*-un-lft-identity_binary64_71` `add-exp-log_binary64_109` `add-cube-cbrt_binary64_106` `pow1_binary64_132`
4×	`associate-l_binary64_12` `prod-exp_binary64_120` `cbrt-unprod_binary64_104` `pow-prod-down_binary64_142`
3×	`unswap-sqr_binary64_39`
2×	`add-log-exp_binary64_110` `*-commutative_binary64_2`

Counts

2 → 50

Calls

4 calls:

10.0ms	(.f64 (.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
6.0ms	(*.f64 x (sqrt.f64 (sqrt.f64 2)))
0.0ms	(*.f64 x (sqrt.f64 (sqrt.f64 2)))
0.0ms	(.f64 (.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

series77.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

46.0ms	(*.f64 x (sqrt.f64 (sqrt.f64 2)))
31.0ms	(.f64 (.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

Compiler

Compiled 78 to 78 computations (0% saved)

simplify80.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5269	559

prune51.0ms (2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	55	8	63

Error

0.1b

Counts

63 → 8

Compiler

Compiled 693 to 611 computations (11.8% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
0.1b	(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))
0.1b	(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))
0.3b	(.f64 (.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))

rewrite25.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`sqrt-prod_binary64_87`
25×	`associate-r_binary64_11`
20×	`add-sqr-sqrt_binary64_93`
17×	`add-exp-log_binary64_109`
12×	`unpow-prod-down_binary64_150`
11×	`*-un-lft-identity_binary64_71` `add-cube-cbrt_binary64_106`
10×	`prod-exp_binary64_120`
9×	`add-cbrt-cube_binary64_107`
5×	`unswap-sqr_binary64_39`
4×	`associate-l_binary64_12` `cbrt-unprod_binary64_104` `pow1_binary64_132`
2×	`pow-exp_binary64_139` `pow-to-exp_binary64_140` `add-log-exp_binary64_110` `sqr-pow_binary64_43` `*-commutative_binary64_2`
1×	`pow-prod-down_binary64_142`

Counts

2 → 61

Calls

4 calls:

12.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
8.0ms	(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))
0.0ms	(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))
0.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))

series179.0ms (7.2%)

Counts

2 → 6

Calls

2 calls:

147.0ms	(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))
32.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))

Compiler

Compiled 102 to 102 computations (0% saved)

simplify73.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4887	1083
1	4887	1083

prune75.0ms (3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	67	8	75

Error

0.1b

Counts

75 → 8

Compiler

Compiled 1100 to 1003 computations (8.8% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	95	294
1	95	294

regimes44.0ms (1.7%)

Accuracy

Total 0.2b remaining (68.1%)

Threshold costs 0.2b (68.1%)

Compiler

Compiled 185 to 172 computations (7% saved)

bsearch17.0ms (0.7%)

Steps

Iters	Range		Point
10	-1.2041969862679864e-297	6.2677593593086e-307	-1.52521227020015e-310

Compiler

Compiled 1 to 1 computations (0% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	34
1	42	34

end0.0ms (0%)

sample1.4s (56.1%)

Algorithm

1×

intervals

Results

186.0ms

8000×

body

128

valid

Compiler

Compiled 598 to 555 computations (7.2% saved)

Pareto

-0.08873543156273399

Details

analyze4.0ms (0.1%)

sample12.0ms (0.5%)

simplify92.0ms (3.7%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite5.0ms (0.2%)

series29.0ms (1.2%)

simplify153.0ms (6.1%)

prune25.0ms (1%)

localize3.0ms (0.1%)

rewrite6.0ms (0.3%)

series29.0ms (1.2%)

simplify43.0ms (1.7%)

prune26.0ms (1.1%)

localize5.0ms (0.2%)

rewrite20.0ms (0.8%)

series77.0ms (3.1%)

simplify80.0ms (3.2%)

prune51.0ms (2%)

localize11.0ms (0.4%)

rewrite25.0ms (1%)

series179.0ms (7.2%)

simplify73.0ms (2.9%)

prune75.0ms (3%)

simplify6.0ms (0.2%)

regimes44.0ms (1.7%)

bsearch17.0ms (0.7%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.4s (56.1%)

Profiling