Details

analyze3.0ms (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)

sample10.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify157.0ms (6.4%)

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

Merged error: 31.7b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

30.6b

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

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_135`
3×	`pow-prod-down_binary64_145` `sqrt-pow1_binary64_94`
1×	`add-exp-log_binary64_112` `sqrt-prod_binary64_92` `add-cbrt-cube_binary64_110` `add-log-exp_binary64_113` `add-cube-cbrt_binary64_109` `pow1/2_binary64_154` `*-un-lft-identity_binary64_77` `add-sqr-sqrt_binary64_98`

Counts

1 → 12

Calls

1 calls:

4.0ms

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

series46.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify142.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	4780	123
1	4780	123

prune22.0ms (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

Merged error: 0.1b

Counts

16 → 6

Compiler

Compiled 167 to 130 computations (22.2% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_98`
6×	`associate-r_binary64_19`
4×	`sqrt-prod_binary64_92` `add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
3×	`add-exp-log_binary64_112` `associate-l_binary64_20` `add-cbrt-cube_binary64_110` `pow1_binary64_135`
2×	`unswap-sqr_binary64_45`
1×	`pow-prod-down_binary64_145` `add-log-exp_binary64_113` `cbrt-unprod_binary64_107` `prod-exp_binary64_123` `*-commutative_binary64_10`

Counts

1 → 22

Calls

1 calls:

5.0ms

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

series57.0ms (2.3%)

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify43.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4987	211
1	4987	211

prune25.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	24	7	31

Merged error: 0.1b

Counts

31 → 7

Compiler

Compiled 240 to 197 computations (17.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(.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)))

rewrite25.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_112` `pow1_binary64_135`
10×	`associate-r_binary64_19`
9×	`add-cbrt-cube_binary64_110` `pow-prod-down_binary64_145` `cbrt-unprod_binary64_107` `prod-exp_binary64_123`
7×	`add-sqr-sqrt_binary64_98`
6×	`cbrt-prod_binary64_105` `add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
4×	`associate-l_binary64_20`
3×	`sqrt-prod_binary64_92`
2×	`add-log-exp_binary64_113` `*-commutative_binary64_10`
1×	`unswap-sqr_binary64_45`

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)))
9.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))

series333.0ms (13.5%)

Counts

2 → 6

Calls

2 calls:

278.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
55.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

simplify71.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5074	577

prune49.0ms (2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	51	8	59

Merged error: 0.1b

Counts

59 → 8

Compiler

Compiled 669 to 599 computations (10.5% saved)

localize12.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.2b

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

0.2b

(*.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 (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`add-exp-log_binary64_112`
48×	`prod-exp_binary64_123`
27×	`associate-r_binary64_19`
23×	`cbrt-prod_binary64_105`
22×	`add-cbrt-cube_binary64_110` `cbrt-unprod_binary64_107` `add-sqr-sqrt_binary64_98`
17×	`pow1_binary64_135`
12×	`unpow-prod-down_binary64_153` `add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
9×	`pow-prod-down_binary64_145`
7×	`sqrt-prod_binary64_92`
6×	`unswap-sqr_binary64_45`
5×	`pow-to-exp_binary64_143` `associate-l_binary64_20` `pow-exp_binary64_142`
3×	`add-log-exp_binary64_113` `*-commutative_binary64_10`
2×	`sqr-pow_binary64_49` `unpow2_binary64_139`

Counts

3 → 97

Calls

3 calls:

21.0ms

(*.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))))

15.0ms

(*.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)))))

9.0ms

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

series681.0ms (27.7%)

Counts

3 → 9

Calls

3 calls:

347.0ms

(*.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)))))

274.0ms

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

60.0ms

(*.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))))

simplify74.0ms (3%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4886	1349
1	4886	1349

prune137.0ms (5.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	2	2	4
Picked	1	0	1
Done	0	3	3
Total	108	6	114

Merged error: 0.1b

Counts

114 → 6

Compiler

Compiled 1932 to 1794 computations (7.1% saved)

regimes60.0ms (2.4%)

Compiler: Compiled 165 to 155 computations (6.1% saved)

bsearch15.0ms (0.6%)

Steps

Iters	Range		Point
9	-4.684498654258533e-306	9.857460893274549e-306	-2.98332070175644e-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	43	30
1	43	30

end0.0ms (0%)

sample412.0ms (16.7%)

Algorithm

1×

intervals

Results

181.0ms

8000×

body

128

valid

Compiler

Compiled 73 to 69 computations (5.5% saved)

Details

analyze3.0ms (0.1%)

sample10.0ms (0.4%)

simplify157.0ms (6.4%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite5.0ms (0.2%)

series46.0ms (1.9%)

simplify142.0ms (5.8%)

prune22.0ms (0.9%)

localize3.0ms (0.1%)

rewrite7.0ms (0.3%)

series57.0ms (2.3%)

simplify43.0ms (1.7%)

prune25.0ms (1%)

localize6.0ms (0.2%)

rewrite25.0ms (1%)

series333.0ms (13.5%)

simplify71.0ms (2.9%)

prune49.0ms (2%)

localize12.0ms (0.5%)

rewrite56.0ms (2.3%)

series681.0ms (27.7%)

simplify74.0ms (3%)

prune137.0ms (5.6%)

regimes60.0ms (2.4%)

bsearch15.0ms (0.6%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample412.0ms (16.7%)

Profiling