Details

analyze362.0ms (9.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	11	14
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
62.5%	37.5%	0%	4
68.7%	31.2%	0%	5
71.8%	28.1%	0%	6
73.4%	26.5%	0%	7
74.2%	25.8%	0%	8
74.6%	25.4%	0%	9
74.8%	25.2%	0%	10
74.9%	25.1%	0%	11
74.9%	25%	0%	12
74.9%	25%	0%	13
75%	25%	0%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample67.0ms (1.8%)

Algorithm

1×

intervals

Results

31.0ms	87×	body	1024	valid
11.0ms	52×	body	512	valid
8.0ms	25×	body	2048	valid
3.0ms	66×	body	128	valid
3.0ms	23×	body	256	valid
1.0ms	3×	body	4096	valid

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	14
1	11	14

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

55.1b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.7b	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
2.6b	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
13.5b	(sqrt.f64 (+.f64 (*.f64 x x) 1))

rewrite70.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

54.9b

Rules

9×	`*-un-lft-identity_binary64_2806`
6×	`add-sqr-sqrt_binary64_2828`
5×	`pow1_binary64_2867` `add-log-exp_binary64_2845` `add-cube-cbrt_binary64_2841`
4×	`add-exp-log_binary64_2844` `log-prod_binary64_2892`
3×	`add-cbrt-cube_binary64_2842` `flip3-+_binary64_2809` `flip-+_binary64_2780` `sqrt-prod_binary64_2822`
2×	`sqrt-div_binary64_2823` `log-div_binary64_2893` `distribute-lft-out_binary64_2757`
1×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `rem-sqrt-square_binary64_2819` `log-pow_binary64_2895` `rem-log-exp_binary64_2847` `sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

3 → 42

Calls

3 calls:

8.0ms	(sqrt.f64 (+.f64 (*.f64 x x) 1))
6.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
6.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Compiler

Compiled 766 to 464 computations (39.4% saved)

series182.0ms (4.8%)

Error

0.0b

Counts

3 → 27

Calls

3 calls:

72.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
44.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
42.0ms	(sqrt.f64 (+.f64 (*.f64 x x) 1))

Compiler

Compiled 716 to 609 computations (14.9% saved)

simplify80.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4854	995
1	4854	995

prune61.0ms (1.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	4	70

Error

0.0b

Counts

70 → 4

Compiler

Compiled 908 to 594 computations (34.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(*.f64 (pow.f64 x 3) 1/6)

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-sqr-sqrt_binary64_2828` `associate-l_binary64_2747`
6×	`add-exp-log_binary64_2844`
5×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
4×	`unpow-prod-down_binary64_2885` `unswap-sqr_binary64_2774` `cube-prod_binary64_2834`
3×	`prod-exp_binary64_2855` `add-cbrt-cube_binary64_2842` `associate-r_binary64_2746`
2×	`sqr-pow_binary64_2778`
1×	`pow1_binary64_2867` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `add-log-exp_binary64_2845` `cbrt-unprod_binary64_2839` `unpow3_binary64_2872` `cube-mult_binary64_2836` `*-commutative_binary64_2737`

Counts

1 → 31

Calls

1 calls:

6.0ms

(*.f64 (pow.f64 x 3) 1/6)

Compiler

Compiled 407 to 306 computations (24.8% saved)

series35.0ms (0.9%)

Error

0.0b

Counts

1 → 3

Calls

1 calls:

33.0ms

(*.f64 (pow.f64 x 3) 1/6)

Compiler

Compiled 63 to 52 computations (17.5% saved)

simplify54.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5074	316

prune28.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	34	4	38

Error

0.0b

Counts

38 → 4

Compiler

Compiled 407 to 292 computations (28.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 1/2 x))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_2845` `*-un-lft-identity_binary64_2806`
1×	`sum-log_binary64_2897` `pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `flip3-+_binary64_2809` `flip-+_binary64_2780` `distribute-lft-out_binary64_2757` `+-commutative_binary64_2736`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+.f64 x (/.f64 1/2 x))

Compiler

Compiled 179 to 123 computations (31.3% saved)

series45.0ms (1.2%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

40.0ms

(+.f64 x (/.f64 1/2 x))

Compiler

Compiled 118 to 87 computations (26.3% saved)

simplify67.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4928	167
1	4928	167

prune13.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	18	4	22

Error

0.0b

Counts

22 → 4

Compiler

Compiled 213 to 142 computations (33.3% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Error

0.0b

Counts

4 → 4

Compiler

Compiled 0 to 0 computations (0% saved)

regimes151.0ms (4%)

Accuracy

Total 0.3b remaining (77.8%)

Threshold costs 0.3b (77.8%)

Compiler

Compiled 1088 to 800 computations (26.5% saved)

bsearch42.0ms (1.1%)

Steps

Iters	Range		Point
11	4.659289505186027e-10	62942510803966.22	0.9573191284072238
10	-476315612678176.4	-0.13763442041533383	-1.2499485096401348

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	51	40
1	51	40

end0.0ms (0%)

sample2.5s (64.6%)

Algorithm

1×

intervals

Results

925.0ms	2532×	body	1024	valid
395.0ms	1210×	body	2048	valid
278.0ms	1308×	body	512	valid
112.0ms	2344×	body	128	valid
67.0ms	562×	body	256	valid
19.0ms	44×	body	4096	valid

Compiler

Compiled 380 to 281 computations (26.1% saved)

Details

analyze362.0ms (9.5%)

sample67.0ms (1.8%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite70.0ms (1.9%)

series182.0ms (4.8%)

simplify80.0ms (2.1%)

prune61.0ms (1.6%)

localize6.0ms (0.2%)

rewrite32.0ms (0.8%)

series35.0ms (0.9%)

simplify54.0ms (1.4%)

prune28.0ms (0.7%)

localize5.0ms (0.1%)

rewrite16.0ms (0.4%)

series45.0ms (1.2%)

simplify67.0ms (1.8%)

prune13.0ms (0.4%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.2%)

prune0.0ms (0%)

regimes151.0ms (4%)

bsearch42.0ms (1.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.5s (64.6%)

Profiling