Details

analyze102.0ms (4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	9
1	13	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 9 to 5 computations (44.4% saved)

sample13.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify16.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	13	9
1	13	9

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

32.6b

Counts

2 → 1

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

31.4b

(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite34.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

16.5b

Rules

4×	`pow1_binary64_139`
2×	`sqrt-pow1_binary64_96` `associate-*r/_binary64_20` `sqrt-div_binary64_95`
1×	`pow1/2_binary64_158` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `pow-prod-down_binary64_149` `flip3-+_binary64_81` `flip-+_binary64_52` `sqrt-prod_binary64_94` `*-un-lft-identity_binary64_78`

Counts

1 → 13

Calls

1 calls:

9.0ms

(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 161 to 50 computations (68.9% saved)

series47.0ms (1.9%)

Error

0.3b

Counts

1 → 3

Calls

1 calls:

43.0ms

(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 42 to 40 computations (4.8% saved)

simplify75.0ms (3%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5009	140

prune25.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	10	6	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	7	17

Error

0.2b

Counts

17 → 7

Compiler

Compiled 197 to 85 computations (56.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite34.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

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

Counts

1 → 22

Calls

1 calls:

5.0ms

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

Compiler

Compiled 228 to 188 computations (17.5% saved)

series47.0ms (1.9%)

Error

0.2b

Counts

1 → 3

Calls

1 calls:

45.0ms

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

Compiler

Compiled 45 to 43 computations (4.4% saved)

simplify45.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5010	211

prune27.0ms (1.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	25	7	32

Error

0.1b

Counts

32 → 7

Compiler

Compiled 265 to 220 computations (17% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite116.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

21×	`sqrt-prod_binary64_94`
18×	`associate-r_binary64_18`
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-l_binary64_19`
3×	`unswap-sqr_binary64_46`
2×	`add-log-exp_binary64_117` `*-commutative_binary64_9`

Counts

2 → 50

Calls

2 calls:

15.0ms	(.f64 (.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
14.0ms	(*.f64 x (sqrt.f64 (sqrt.f64 2)))

Compiler

Compiled 836 to 753 computations (9.9% saved)

series113.0ms (4.5%)

Error

0.1b

Counts

2 → 6

Calls

2 calls:

58.0ms	(*.f64 x (sqrt.f64 (sqrt.f64 2)))
52.0ms	(.f64 (.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

Compiler

Compiled 135 to 130 computations (3.7% saved)

simplify127.0ms (5%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	5269	559

prune61.0ms (2.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	56	7	63

Error

0.1b

Counts

63 → 7

Compiler

Compiled 725 to 647 computations (10.8% saved)

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

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))))

rewrite137.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

30×	`sqrt-prod_binary64_94`
25×	`associate-r_binary64_18`
20×	`add-sqr-sqrt_binary64_100`
17×	`add-exp-log_binary64_116`
12×	`unpow-prod-down_binary64_157`
11×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
10×	`prod-exp_binary64_127`
9×	`add-cbrt-cube_binary64_114`
5×	`unswap-sqr_binary64_46`
4×	`pow1_binary64_139` `cbrt-unprod_binary64_111` `associate-l_binary64_19`
2×	`pow-to-exp_binary64_147` `pow-exp_binary64_146` `add-log-exp_binary64_117` `*-commutative_binary64_9` `sqr-pow_binary64_50`
1×	`pow-prod-down_binary64_149`

Counts

2 → 61

Calls

2 calls:

18.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
12.0ms	(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))

Compiler

Compiled 1296 to 1192 computations (8% saved)

series207.0ms (8.2%)

Error

0.1b

Counts

2 → 6

Calls

2 calls:

162.0ms	(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))
40.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))

Compiler

Compiled 171 to 166 computations (2.9% saved)

simplify80.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4887	1083
1	4887	1083

prune95.0ms (3.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	67	7	74

Error

0.1b

Counts

74 → 7

Compiler

Compiled 1167 to 1070 computations (8.3% saved)

regimes206.0ms (8.1%)

Accuracy

Total 0.4b remaining (88.8%)

Threshold costs 0.4b (88.8%)

Compiler

Compiled 1030 to 728 computations (29.3% saved)

bsearch29.0ms (1.2%)

Steps

Iters	Range		Point
10	-2.471537152608442e-308	1.19640854968688e-294	-3.89140349991603e-310

Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	34
1	52	34

end0.0ms (0%)

sample862.0ms (34%)

Algorithm

1×

intervals

Results

227.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 278 to 200 computations (28.1% saved)

Details

analyze102.0ms (4%)

sample13.0ms (0.5%)

simplify16.0ms (0.6%)

prune6.0ms (0.2%)

localize8.0ms (0.3%)

rewrite34.0ms (1.3%)

series47.0ms (1.9%)

simplify75.0ms (3%)

prune25.0ms (1%)

localize4.0ms (0.2%)

rewrite34.0ms (1.4%)

series47.0ms (1.9%)

simplify45.0ms (1.8%)

prune27.0ms (1.1%)

localize6.0ms (0.2%)

rewrite116.0ms (4.6%)

series113.0ms (4.5%)

simplify127.0ms (5%)

prune61.0ms (2.4%)

localize10.0ms (0.4%)

rewrite137.0ms (5.4%)

series207.0ms (8.2%)

simplify80.0ms (3.2%)

prune95.0ms (3.7%)

regimes206.0ms (8.1%)

bsearch29.0ms (1.2%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample862.0ms (34%)

Profiling