Details

analyze93.0ms (5.1%)

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)

sample16.0ms (0.9%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify7.0ms (0.4%)

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

28.9b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

27.9b

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

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_139`
3×	`sqrt-pow1_binary64_96` `pow-prod-down_binary64_149`
1×	`add-cbrt-cube_binary64_114` `sqrt-prod_binary64_94` `add-sqr-sqrt_binary64_100` `add-log-exp_binary64_117` `add-cube-cbrt_binary64_113` `add-exp-log_binary64_116` `pow1/2_binary64_158` `*-un-lft-identity_binary64_78`

Counts

1 → 12

Calls

1 calls:

4.0ms

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

series24.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify156.0ms (8.6%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (149.0ms)

Iter	Nodes	Cost
0	4798	123
1	4798	123

prune17.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	4	16

Error

0.1b

Counts

16 → 4

Compiler

Compiled 143 to 110 computations (23.1% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

5.0ms

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

series29.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify44.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5010	211

prune20.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	24	5	29

Error

0.1b

Counts

29 → 5

Compiler

Compiled 239 to 199 computations (16.7% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite20.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

10.0ms	(.f64 (.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
7.0ms	(*.f64 x (sqrt.f64 (sqrt.f64 2)))

series66.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

37.0ms	(*.f64 x (sqrt.f64 (sqrt.f64 2)))
30.0ms	(.f64 (.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

simplify82.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5269	559

prune52.0ms (2.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	55	6	61

Error

0.0b

Counts

61 → 6

Compiler

Compiled 714 to 637 computations (10.8% saved)

localize11.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.3b

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

0.3b

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

0.3b

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

rewrite32.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`sqrt-prod_binary64_94` `associate-r_binary64_18`
19×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow1_binary64_139`
18×	`add-sqr-sqrt_binary64_100`
12×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
10×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`
6×	`cbrt-prod_binary64_109`
5×	`associate-l_binary64_19`
3×	`*-commutative_binary64_9` `add-log-exp_binary64_117` `unswap-sqr_binary64_46`

Counts

3 → 74

Calls

3 calls:

13.0ms

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

7.0ms

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

7.0ms

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

series263.0ms (14.4%)

Counts

3 → 9

Calls

3 calls:

162.0ms

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

62.0ms

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

38.0ms

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

simplify86.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4940	1552
1	4940	1552

prune109.0ms (6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	83	6	89

Error

0.0b

Counts

89 → 6

Compiler

Compiled 1674 to 1568 computations (6.3% saved)

regimes102.0ms (5.6%)

Accuracy

Total 0.3b remaining (84.7%)

Threshold costs 0.3b (84.7%)

Compiler

Compiled 504 to 446 computations (11.5% saved)

bsearch18.0ms (1%)

Steps

Iters	Range		Point
10	-7.86644573568964e-306	8.056866644003367e-297	2.55695147279527e-310

Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	39
1	62	39

end0.0ms (0%)

sample548.0ms (30%)

Algorithm

1×

intervals

Results

187.0ms

8000×

body

128

valid

Compiler

Compiled 191 to 170 computations (11% saved)

Details

analyze93.0ms (5.1%)

sample16.0ms (0.9%)

simplify7.0ms (0.4%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite4.0ms (0.2%)

series24.0ms (1.3%)

simplify156.0ms (8.6%)

prune17.0ms (0.9%)

localize4.0ms (0.2%)

rewrite6.0ms (0.4%)

series29.0ms (1.6%)

simplify44.0ms (2.4%)

prune20.0ms (1.1%)

localize6.0ms (0.3%)

rewrite20.0ms (1.1%)

series66.0ms (3.6%)

simplify82.0ms (4.5%)

prune52.0ms (2.8%)

localize11.0ms (0.6%)

rewrite32.0ms (1.8%)

series263.0ms (14.4%)

simplify86.0ms (4.7%)

prune109.0ms (6%)

regimes102.0ms (5.6%)

bsearch18.0ms (1%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample548.0ms (30%)

Profiling