Details

analyze808.0ms (25.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4840	8
1	4840	8
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.3%	24.4%	11
31.4%	44.3%	24.4%	12
31.4%	44%	24.5%	13
31.5%	43.8%	24.8%	14

Symmetry

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample54.0ms (1.7%)

Algorithm

1×

intervals

Results

21.0ms	75×	body	1024	valid
10.0ms	115×	body	128	valid
6.0ms	40×	body	512	valid
3.0ms	7×	body	2048	valid
2.0ms	19×	body	256	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify63.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4840	8
1	4840	8

prune7.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0b	(+.f64 1 (exp.f64 x))

rewrite31.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64`
2×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `sqrt-div_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

2 → 28

Calls

2 calls:

5.0ms	(+.f64 1 (exp.f64 x))
3.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 321 to 218 computations (32.1% saved)

series81.0ms (2.6%)

Error

Counts

2 → 12

Calls

2 calls:

40.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
29.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 324 to 294 computations (9.3% saved)

simplify36.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5074	484

prune31.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	2	41

Error

Counts

41 → 2

Compiler

Compiled 403 to 296 computations (26.6% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
0.4b	(/.f64 x (sqrt.f64 2))

rewrite65.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`times-frac_binary64`
17×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
12×	`sqrt-prod_binary64`
6×	`associate-/r*_binary64`
4×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`associate-/l*_binary64`
2×	`pow1_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

2 → 50

Calls

2 calls:

4.0ms	(/.f64 x (sqrt.f64 2))
4.0ms	(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))

Compiler

Compiled 849 to 723 computations (14.8% saved)

series128.0ms (4.1%)

Error

Counts

2 → 9

Calls

2 calls:

78.0ms	(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
44.0ms	(/.f64 x (sqrt.f64 2))

Compiler

Compiled 190 to 184 computations (3.2% saved)

simplify73.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4951	791
1	4951	791

prune54.0ms (1.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	59	2	61

Error

Counts

61 → 2

Compiler

Compiled 821 to 692 computations (15.7% saved)

regimes67.0ms (2.1%)

Accuracy

Total 0.0b remaining (23.6%)

Threshold costs 0.0b (23.6%)

Compiler

Compiled 329 to 303 computations (7.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	8	8

Removed

()

end0.0ms (0%)

sample1.6s (51.8%)

Algorithm

1×

intervals

Results

752.0ms	2633×	body	1024	valid
201.0ms	1281×	body	512	valid
139.0ms	3143×	body	128	valid
90.0ms	267×	body	2048	valid
65.0ms	676×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 87 to 81 computations (6.9% saved)

Details

analyze808.0ms (25.8%)

sample54.0ms (1.7%)

simplify63.0ms (2%)

prune7.0ms (0.2%)

localize5.0ms (0.2%)

rewrite31.0ms (1%)

series81.0ms (2.6%)

simplify36.0ms (1.1%)

prune31.0ms (1%)

localize5.0ms (0.2%)

rewrite65.0ms (2.1%)

series128.0ms (4.1%)

simplify73.0ms (2.3%)

prune54.0ms (1.7%)

regimes67.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.6s (51.8%)

Profiling