Details

analyze676.0ms (23.1%)

Algorithm

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

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample56.0ms (1.9%)

Algorithm

1×

intervals

Results

31.0ms	90×	body	1024	valid
6.0ms	36×	body	512	valid
5.0ms	102×	body	128	valid
2.0ms	22×	body	256	valid
2.0ms	6×	body	2048	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify191.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

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)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

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×	`flip3-+_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 28

Calls

2 calls:

6.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(+.f64 1 (exp.f64 x))

series36.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

30.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
6.0ms	(+.f64 1 (exp.f64 x))

simplify80.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5088	368

prune22.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	2	35

Error

Counts

35 → 2

Compiler

Compiled 323 to 228 computations (29.4% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.6b	(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3)
0.7b	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3))

rewrite25.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64`
20×	`sqrt-prod_binary64` `cbrt-prod_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64`
14×	`unpow-prod-down_binary64` `cube-prod_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `distribute-lft-out_binary64` `sqrt-div_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `cube-div_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64` `pow-pow_binary64`
2×	`cbrt-div_binary64` `pow1/2_binary64` `sqr-pow_binary64` `sqrt-pow1_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `sqrt-pow2_binary64` `pow1/3_binary64` `rem-sqrt-square_binary64` `rem-cube-cbrt_binary64` `+-commutative_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 95

Calls

4 calls:

6.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3))
6.0ms	(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3)
4.0ms	(+.f64 1 (exp.f64 x))
3.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

series97.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

50.0ms	(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3)
21.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3))
19.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
6.0ms	(+.f64 1 (exp.f64 x))

simplify69.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4944	1377
1	4944	1377

prune81.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	107	2	109

Error

Counts

109 → 2

Compiler

Compiled 1252 to 939 computations (25% saved)

regimes33.0ms (1.1%)

Accuracy

Total 0.0b remaining (16.7%)

Threshold costs 0.0b (16.7%)

Compiler

Compiled 123 to 116 computations (5.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	8
1	8	8

end0.0ms (0%)

sample1.5s (52.2%)

Algorithm

1×

intervals

Results

791.0ms	2693×	body	1024	valid
208.0ms	1294×	body	512	valid
141.0ms	3094×	body	128	valid
95.0ms	273×	body	2048	valid
70.0ms	646×	body	256	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

Details

analyze676.0ms (23.1%)

sample56.0ms (1.9%)

simplify191.0ms (6.5%)

prune7.0ms (0.2%)

localize6.0ms (0.2%)

rewrite12.0ms (0.4%)

series36.0ms (1.2%)

simplify80.0ms (2.7%)

prune22.0ms (0.8%)

localize7.0ms (0.2%)

rewrite25.0ms (0.9%)

series97.0ms (3.3%)

simplify69.0ms (2.4%)

prune81.0ms (2.8%)

regimes33.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.5s (52.2%)

Profiling