Details

analyze100.0ms (3.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9
0	1	1
1	1	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 (0.4%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify7.0ms (0.2%)

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

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

30.9b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 2 (.f64 x x))
30.0b	(sqrt.f64 (.f64 2 (.f64 x x)))

rewrite46.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

30.9b

Rules

13×	`pow1_binary64_139`
7×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
6×	`pow-prod-down_binary64_149`
4×	`add-sqr-sqrt_binary64_100`
3×	`add-cube-cbrt_binary64_113` `sqrt-pow1_binary64_96` `-un-lft-identity_binary64_78` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `associate-l*_binary64_19`
2×	`add-log-exp_binary64_117`
1×	`pow1/2_binary64_158` `sqrt-prod_binary64_94` `unswap-sqr_binary64_46` `associate-r_binary64_18` `*-commutative_binary64_9`

Counts

2 → 31

Calls

2 calls:

6.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))
5.0ms	(.f64 2 (.f64 x x))

Compiler

Compiled 344 to 213 computations (38.1% saved)

series69.0ms (2.3%)

Error

0.3b

Counts

2 → 6

Calls

2 calls:

38.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))
26.0ms	(.f64 2 (.f64 x x))

Compiler

Compiled 96 to 91 computations (5.2% saved)

simplify53.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4932	300
1	4932	300

prune33.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	32	5	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	6	38

Error

0.3b

Counts

38 → 6

Compiler

Compiled 384 to 255 computations (33.6% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x))))
0.5b	(.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (sqrt.f64 (.f64 2 (*.f64 x x)))))
30.0b	(sqrt.f64 (.f64 2 (.f64 x x)))
30.0b	(sqrt.f64 (.f64 2 (.f64 x x)))

rewrite181.0ms (6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

158×	`pow1_binary64_139`
154×	`sqrt-pow1_binary64_96`
82×	`pow-prod-down_binary64_149`
33×	`sqrt-prod_binary64_94`
28×	`add-sqr-sqrt_binary64_100`
24×	`pow1/2_binary64_158`
21×	`pow-prod-up_binary64_148`
13×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78` `pow-sqr_binary64_51`
9×	`swap-sqr_binary64_45`
7×	`associate-l_binary64_19` `associate-r_binary64_18`
6×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
4×	`add-log-exp_binary64_117` `unswap-sqr_binary64_46`
3×	`rem-sqrt-square_binary64_91`
1×	`pow2_binary64_159` `pow-plus_binary64_141` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `sqrt-unprod_binary64_98` `sqr-abs_binary64_93` `rem-square-sqrt_binary64_90` `*-commutative_binary64_9`

Counts

4 → 131

Calls

4 calls:

18.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (sqrt.f64 (.f64 2 (*.f64 x x)))))
5.0ms	(sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x))))
4.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))
4.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 2665 to 1778 computations (33.3% saved)

series124.0ms (4.2%)

Error

0.3b

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))
30.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))
30.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (sqrt.f64 (.f64 2 (*.f64 x x)))))
24.0ms	(sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x))))

Compiler

Compiled 437 to 362 computations (17.2% saved)

simplify77.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5188	1158

prune116.0ms (3.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	143	6	149

Error

0.2b

Counts

149 → 6

Compiler

Compiled 1932 to 1270 computations (34.3% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x))))
0.3b	(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (fabs.f64 x))))
0.3b	(.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (*.f64 x x)))) (sqrt.f64 (fabs.f64 x)))
30.0b	(sqrt.f64 (.f64 2 (.f64 x x)))

rewrite141.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

29×	`pow1_binary64_139`
27×	`sqrt-prod_binary64_94`
21×	`add-sqr-sqrt_binary64_100`
16×	`pow-prod-down_binary64_149` `sqrt-pow1_binary64_96` `associate-l_binary64_19`
12×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
11×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
8×	`pow1/2_binary64_158`
7×	`associate-r_binary64_18`
4×	`add-log-exp_binary64_117` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46`
3×	`sqrt-unprod_binary64_98`
2×	`*-commutative_binary64_9`
1×	`rem-sqrt-square_binary64_91`

Counts

4 → 88

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (fabs.f64 x))))
12.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (*.f64 x x)))) (sqrt.f64 (fabs.f64 x)))
5.0ms	(sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x))))
5.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 1983 to 1252 computations (36.9% saved)

series142.0ms (4.7%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

41.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (*.f64 x x)))) (sqrt.f64 (fabs.f64 x)))
38.0ms	(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (fabs.f64 x))))
31.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))
23.0ms	(sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x))))

Compiler

Compiled 540 to 457 computations (15.4% saved)

simplify73.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4924	1769
1	4924	1769

prune105.0ms (3.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	100	6	106

Error

0.0b

Counts

106 → 6

Compiler

Compiled 1950 to 1262 computations (35.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite74.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`sqrt-prod_binary64_94`
18×	`associate-l_binary64_19`
15×	`add-sqr-sqrt_binary64_100`
9×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `associate-r_binary64_18`
3×	`unswap-sqr_binary64_46`
2×	`add-log-exp_binary64_117` `*-commutative_binary64_9`

Counts

2 → 50

Calls

2 calls:

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

Compiler

Compiled 858 to 704 computations (17.9% saved)

series67.0ms (2.2%)

Error

0.0b

Counts

2 → 6

Calls

2 calls:

37.0ms	(*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x))
26.0ms	(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)))

Compiler

Compiled 135 to 125 computations (7.4% saved)

simplify86.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4932	692
1	4932	692

prune49.0ms (1.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	55	7	62

Error

Counts

62 → 7

Compiler

Compiled 723 to 580 computations (19.8% saved)

regimes300.0ms (10.1%)

Accuracy

Total 0.4b remaining (99.9%)

Threshold costs 0.4b (99.9%)

Compiler

Compiled 2890 to 2424 computations (16.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	28
1	13	28

end0.0ms (0%)

sample1.1s (36.8%)

Algorithm

1×

intervals

Results

181.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 621 to 537 computations (13.5% saved)

Details

analyze100.0ms (3.3%)

sample12.0ms (0.4%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite46.0ms (1.5%)

series69.0ms (2.3%)

simplify53.0ms (1.8%)

prune33.0ms (1.1%)

localize7.0ms (0.2%)

rewrite181.0ms (6%)

series124.0ms (4.2%)

simplify77.0ms (2.6%)

prune116.0ms (3.9%)

localize11.0ms (0.4%)

rewrite141.0ms (4.7%)

series142.0ms (4.7%)

simplify73.0ms (2.4%)

prune105.0ms (3.5%)

localize6.0ms (0.2%)

rewrite74.0ms (2.5%)

series67.0ms (2.2%)

simplify86.0ms (2.9%)

prune49.0ms (1.7%)

regimes300.0ms (10.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (36.8%)

Profiling