Details

analyze4.0ms (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)

sample11.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify87.0ms (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

32.6b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

31.4b	(sqrt.f64 (.f64 (.f64 2 x) x))
31.4b	(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

2 calls:

4.0ms	(sqrt.f64 (.f64 (.f64 2 x) x))
0.0ms	(sqrt.f64 (.f64 (.f64 2 x) x))

series170.0ms (8.4%)

Counts

1 → 3

Calls

1 calls:

170.0ms

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

Compiler

Compiled 28 to 28 computations (0% saved)

simplify157.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (150.0ms)

Iter	Nodes	Cost
0	4798	123
1	4798	123

prune27.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	9	6	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	9	7	16

Error

0.2b

Counts

16 → 7

Compiler

Compiled 190 to 148 computations (22.1% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite7.0ms (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

2 calls:

5.0ms	(*.f64 x (sqrt.f64 2))
0.0ms	(*.f64 x (sqrt.f64 2))

series31.0ms (1.5%)

Counts

1 → 3

Calls

1 calls:

31.0ms

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

Compiler

Compiled 30 to 30 computations (0% saved)

simplify48.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5010	211

prune24.0ms (1.2%)

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 221 computations (16.6% saved)

localize6.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

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

4 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)))
0.0ms	(*.f64 x (sqrt.f64 (sqrt.f64 2)))
0.0ms	(.f64 (.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

series77.0ms (3.8%)

Counts

2 → 6

Calls

2 calls:

44.0ms	(*.f64 x (sqrt.f64 (sqrt.f64 2)))
33.0ms	(.f64 (.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

Compiler

Compiled 90 to 90 computations (0% saved)

simplify83.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5269	559

prune55.0ms (2.7%)

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 648 computations (10.6% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
0.1b	(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))
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))))

rewrite25.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

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×	`associate-l_binary64_19` `cbrt-unprod_binary64_111` `pow1_binary64_139`
2×	`*-commutative_binary64_9` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `add-log-exp_binary64_117` `sqr-pow_binary64_50`
1×	`pow-prod-down_binary64_149`

Counts

2 → 61

Calls

4 calls:

12.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
8.0ms	(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))
0.0ms	(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))
0.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))

series189.0ms (9.4%)

Counts

2 → 6

Calls

2 calls:

154.0ms	(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))
35.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))

Compiler

Compiled 114 to 114 computations (0% saved)

simplify77.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4887	1083
1	4887	1083

prune76.0ms (3.8%)

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)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	270	271
1	270	271

regimes38.0ms (1.9%)

Compiler: Compiled 171 to 156 computations (8.8% saved)

bsearch17.0ms (0.9%)

Steps

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

Compiler

Compiled 1 to 1 computations (0% saved)

regimes22.0ms (1.1%)

Compiler: Compiled 52 to 51 computations (1.9% saved)

bsearch15.0ms (0.8%)

Steps

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

Compiler

Compiled 1 to 1 computations (0% saved)

regimes16.0ms (0.8%)

Compiler: Compiled 20 to 22 computations (-10% saved)

bsearch13.0ms (0.7%)

Steps

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

Compiler

Compiled 1 to 1 computations (0% saved)

regimes15.0ms (0.7%)

Compiler: Compiled 9 to 12 computations (-33.3% saved)

bsearch12.0ms (0.6%)

Steps

Iters	Range		Point
10	-1.8114225009300068e-198	-5.9193302582672965e-211	-3.571696274009956e-206

Compiler

Compiled 1 to 1 computations (0% saved)

regimes7.0ms (0.4%)

Accuracy

Total 0.4b remaining (87.9%)

Threshold costs 0.4b (87.9%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch4.0ms (0.2%)

Compiler: Compiled 60 to 52 computations (13.3% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	77	93
1	77	93

end0.0ms (0%)

sample649.0ms (32.2%)

Algorithm

1×

intervals

Results

183.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 236 to 213 computations (9.7% saved)

Pareto

0.6080708477183914

Details

analyze4.0ms (0.2%)

sample11.0ms (0.5%)

simplify87.0ms (4.3%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite5.0ms (0.2%)

series170.0ms (8.4%)

simplify157.0ms (7.8%)

prune27.0ms (1.3%)

localize4.0ms (0.2%)

rewrite7.0ms (0.3%)

series31.0ms (1.5%)

simplify48.0ms (2.4%)

prune24.0ms (1.2%)

localize6.0ms (0.3%)

rewrite20.0ms (1%)

series77.0ms (3.8%)

simplify83.0ms (4.1%)

prune55.0ms (2.7%)

localize9.0ms (0.5%)

rewrite25.0ms (1.2%)

series189.0ms (9.4%)

simplify77.0ms (3.8%)

prune76.0ms (3.8%)

simplify8.0ms (0.4%)

regimes38.0ms (1.9%)

bsearch17.0ms (0.9%)

regimes22.0ms (1.1%)

bsearch15.0ms (0.8%)

regimes16.0ms (0.8%)

bsearch13.0ms (0.7%)

regimes15.0ms (0.7%)

bsearch12.0ms (0.6%)

regimes7.0ms (0.4%)

bsearch4.0ms (0.2%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample649.0ms (32.2%)

Profiling