Details

analyze3.0ms (0.2%)

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)

sample10.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify97.0ms (4.3%)

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

32.5b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

31.2b

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

rewrite5.0ms (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:

5.0ms

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

series30.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify154.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	4798	123
1	4798	123

prune20.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	10	5	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	6	16

Error

0.2b

Counts

16 → 6

Compiler

Compiled 167 to 130 computations (22.2% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.3%)

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))

series26.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify43.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5010	211

prune26.0ms (1.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	23	8	31

Error

0.1b

Counts

31 → 8

Compiler

Compiled 280 to 237 computations (15.4% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
0.3b	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

rewrite24.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_116` `pow1_binary64_139`
10×	`associate-r_binary64_18`
9×	`add-cbrt-cube_binary64_114` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`
7×	`add-sqr-sqrt_binary64_100`
6×	`add-cube-cbrt_binary64_113` `cbrt-prod_binary64_109` `*-un-lft-identity_binary64_78`
4×	`associate-l_binary64_19`
3×	`sqrt-prod_binary64_94`
2×	`*-commutative_binary64_9` `add-log-exp_binary64_117`
1×	`unswap-sqr_binary64_46`

Counts

2 → 46

Calls

2 calls:

13.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
8.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))

series186.0ms (8.2%)

Counts

2 → 6

Calls

2 calls:

156.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
30.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

simplify90.0ms (4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4908	577
1	4908	577

prune55.0ms (2.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	51	9	60

Error

0.0b

Counts

60 → 9

Compiler

Compiled 732 to 664 computations (9.3% saved)

localize10.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.1b

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

0.3b

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

0.4b

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

rewrite56.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`add-exp-log_binary64_116`
48×	`prod-exp_binary64_127`
27×	`associate-r_binary64_18`
23×	`cbrt-prod_binary64_109`
22×	`add-cbrt-cube_binary64_114` `add-sqr-sqrt_binary64_100` `cbrt-unprod_binary64_111`
17×	`pow1_binary64_139`
12×	`unpow-prod-down_binary64_157` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
9×	`pow-prod-down_binary64_149`
7×	`sqrt-prod_binary64_94`
6×	`unswap-sqr_binary64_46`
5×	`associate-l_binary64_19` `pow-exp_binary64_146` `pow-to-exp_binary64_147`
3×	`*-commutative_binary64_9` `add-log-exp_binary64_117`
2×	`unpow2_binary64_143` `sqr-pow_binary64_50`

Counts

3 → 97

Calls

3 calls:

23.0ms

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

14.0ms

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

8.0ms

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

series368.0ms (16.1%)

Counts

3 → 9

Calls

3 calls:

186.0ms

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

153.0ms

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

29.0ms

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

simplify64.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5168	1349

prune140.0ms (6.1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	106	9	115

Error

0.0b

Counts

115 → 9

Compiler

Compiled 2038 to 1900 computations (6.8% saved)

regimes143.0ms (6.3%)

Accuracy

Total 0.3b remaining (87%)

Threshold costs 0.3b (87%)

Compiler

Compiled 861 to 785 computations (8.8% saved)

bsearch15.0ms (0.7%)

Steps

Iters	Range		Point
8	-9.67445017019291e-308	1.0303594294564099e-306	-3.2216398410802e-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	62	41
1	62	41

end0.0ms (0%)

sample690.0ms (30.2%)

Algorithm

1×

intervals

Results

181.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 311 to 284 computations (8.7% saved)

Details

analyze3.0ms (0.2%)

sample10.0ms (0.4%)

simplify97.0ms (4.3%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite5.0ms (0.2%)

series30.0ms (1.3%)

simplify154.0ms (6.7%)

prune20.0ms (0.9%)

localize4.0ms (0.2%)

rewrite6.0ms (0.3%)

series26.0ms (1.1%)

simplify43.0ms (1.9%)

prune26.0ms (1.1%)

localize7.0ms (0.3%)

rewrite24.0ms (1%)

series186.0ms (8.2%)

simplify90.0ms (4%)

prune55.0ms (2.4%)

localize10.0ms (0.5%)

rewrite56.0ms (2.4%)

series368.0ms (16.1%)

simplify64.0ms (2.8%)

prune140.0ms (6.1%)

regimes143.0ms (6.3%)

bsearch15.0ms (0.7%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample690.0ms (30.2%)

Profiling