Details

analyze672.0ms (21.6%)

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)

sample54.0ms (1.7%)

Algorithm

1×

intervals

Results

27.0ms	88×	body	1024	valid
7.0ms	41×	body	512	valid
4.0ms	96×	body	128	valid
3.0ms	22×	body	256	valid
3.0ms	9×	body	2048	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify222.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5935	8

prune8.0ms (0.3%)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 27 to 26 computations (3.7% 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))

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

series69.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

46.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
23.0ms	(+.f64 1 (exp.f64 x))

simplify67.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5162	368

prune28.0ms (0.9%)

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

Merged error: 0b

Counts

35 → 2

Compiler

Compiled 389 to 280 computations (28% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (pow.f64 (exp.f64 x) 3))
0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(pow.f64 (exp.f64 x) 3)
3.5b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite31.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
8×	`add-log-exp_binary64` `pow-pow_binary64`
7×	`unpow-prod-down_binary64`
6×	`pow-unpow_binary64` `pow1_binary64` `exp-prod_binary64`
5×	`add-cbrt-cube_binary64`
4×	`add-exp-log_binary64` `difference-of-squares_binary64`
3×	`unpow2_binary64` `sqr-pow_binary64` `cancel-sign-sub-inv_binary64` `cube-prod_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `distribute-rgt-out--_binary64` `rem-cube-cbrt_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`

Counts

4 → 79

Calls

4 calls:

9.0ms	(+.f64 1 (pow.f64 (exp.f64 x) 3))
8.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
4.0ms	(pow.f64 (exp.f64 x) 3)
4.0ms	(pow.f64 (exp.f64 x) 2)

series153.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(pow.f64 (exp.f64 x) 3)
43.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
43.0ms	(+.f64 1 (pow.f64 (exp.f64 x) 3))
21.0ms	(pow.f64 (exp.f64 x) 2)

simplify50.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4985	880
1	4985	880

prune96.0ms (3.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	91	2	93

Merged error: 0b

Counts

93 → 2

Compiler

Compiled 1857 to 1184 computations (36.2% saved)

regimes10.0ms (0.3%)

Compiler: Compiled 24 to 20 computations (16.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms (0%)

sample1.6s (52.1%)

Algorithm

1×

intervals

Results

847.0ms	2660×	body	1024	valid
239.0ms	1355×	body	512	valid
145.0ms	3056×	body	128	valid
105.0ms	276×	body	2048	valid
75.0ms	653×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 40 to 36 computations (10% saved)

Details

analyze672.0ms (21.6%)

sample54.0ms (1.7%)

simplify222.0ms (7.1%)

prune8.0ms (0.3%)

localize5.0ms (0.2%)

rewrite12.0ms (0.4%)

series69.0ms (2.2%)

simplify67.0ms (2.1%)

prune28.0ms (0.9%)

localize10.0ms (0.3%)

rewrite31.0ms (1%)

series153.0ms (4.9%)

simplify50.0ms (1.6%)

prune96.0ms (3.1%)

regimes10.0ms (0.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.6s (52.1%)

Profiling