Details

analyze75.0ms (3.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	18.7%	12.6%	7
68.7%	12.5%	18.8%	8
68.7%	12.5%	18.8%	9
68.7%	9.4%	22%	10
68.7%	9.4%	22%	11
68.7%	7.8%	23.5%	12
68.7%	7.8%	23.5%	13
68.7%	7%	24.3%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample21.0ms (1%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	21×	body	80	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify24.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

prune3.0ms (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

Merged error: 0.3b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.3b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite16.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`distribute-lft-out_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`add-exp-log_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `associate-/r/_binary64` `insert-posit16` `flip-+_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 47

Calls

2 calls:

9.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series136.0ms (6.5%)

Counts

2 → 6

Calls

2 calls:

101.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
34.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify104.0ms (5%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5169	924

prune43.0ms (2.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	3	54

Merged error: 0.2b

Counts

54 → 3

Compiler

Compiled 778 to 177 computations (77.2% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
0.2b	(sqrt.f64 (exp.f64 a))
0.2b	(sqrt.f64 (exp.f64 a))
0.3b	(/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite47.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

68×	`*-un-lft-identity_binary64`
60×	`add-sqr-sqrt_binary64`
52×	`times-frac_binary64`
42×	`add-cube-cbrt_binary64`
41×	`sqrt-prod_binary64`
30×	`associate-r_binary64`
13×	`distribute-lft-out_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64` `sqrt-pow1_binary64`
6×	`associate-l_binary64` `unswap-sqr_binary64` `associate-/l*_binary64` `exp-prod_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `associate-/r/_binary64` `insert-posit16`
2×	`flip3-+_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

4 → 140

Calls

4 calls:

23.0ms	(*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
12.0ms	(/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(sqrt.f64 (exp.f64 a))
3.0ms	(sqrt.f64 (exp.f64 a))

series264.0ms (12.7%)

Counts

4 → 12

Calls

4 calls:

133.0ms	(/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))
88.0ms	(*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
22.0ms	(sqrt.f64 (exp.f64 a))
21.0ms	(sqrt.f64 (exp.f64 a))

simplify157.0ms (7.5%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	5149	2741

prune110.0ms (5.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	152	3	155

Merged error: 0.2b

Counts

155 → 3

Compiler

Compiled 2916 to 434 computations (85.1% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
1.0b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
2.8b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite30.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`add-log-exp_binary64`
8×	`log-prod_binary64`
7×	`pow1_binary64` `add-cube-cbrt_binary64`
6×	`log-div_binary64` `exp-prod_binary64`
5×	`add-exp-log_binary64`
4×	`flip3-+_binary64` `associate--r+_binary64` `associate--r-_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `insert-posit16` `flip-+_binary64`
3×	`distribute-lft-out_binary64` `log-pow_binary64` `exp-sum_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `rem-exp-log_binary64` `difference-of-squares_binary64`
1×	`flip3--_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 70

Calls

4 calls:

10.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
7.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series269.0ms (12.9%)

Counts

4 → 12

Calls

4 calls:

96.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
76.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
63.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
34.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify121.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4974	1255
1	4974	1255

prune57.0ms (2.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	82	3	85

Merged error: 0.2b

Counts

85 → 3

Compiler

Compiled 1182 to 332 computations (71.9% saved)

localize5.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify20.0ms (1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Merged error: 0.2b

Counts

3 → 3

Compiler

Compiled 0 to 0 computations (0% saved)

regimes34.0ms (1.6%)

Compiler: Compiled 128 to 112 computations (12.5% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	22
1	11	22

end0.0ms (0%)

sample514.0ms (24.7%)

Algorithm

1×

intervals

Results

243.0ms	8000×	body	80	valid
17.0ms	674×	body	80	overflowed

Compiler

Compiled 59 to 48 computations (18.6% saved)

Details

analyze75.0ms (3.6%)

sample21.0ms (1%)

simplify24.0ms (1.2%)

prune3.0ms (0.1%)

localize6.0ms (0.3%)

rewrite16.0ms (0.8%)

series136.0ms (6.5%)

simplify104.0ms (5%)

prune43.0ms (2.1%)

localize8.0ms (0.4%)

rewrite47.0ms (2.3%)

series264.0ms (12.7%)

simplify157.0ms (7.5%)

prune110.0ms (5.3%)

localize10.0ms (0.5%)

rewrite30.0ms (1.5%)

series269.0ms (12.9%)

simplify121.0ms (5.8%)

prune57.0ms (2.7%)

localize5.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify20.0ms (1%)

prune0.0ms (0%)

regimes34.0ms (1.6%)

bsearch0.0ms (0%)

simplify6.0ms (0.3%)

end0.0ms (0%)

sample514.0ms (24.7%)

Profiling