Details

analyze227.0ms (12.3%)

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
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
37.4%	62.4%	0.1%	6
46.8%	53%	0.1%	7
52.3%	47.6%	0.1%	8
65.5%	34.3%	0.1%	9
71%	28.9%	0.1%	10
75%	24.9%	0.1%	11
81.6%	18.2%	0.1%	12
84.5%	15.4%	0.1%	13
86.9%	13%	0.1%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample18.0ms (1%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify14.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	134	18
1	134	18

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

Merged error: 2.1b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.8b	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))
5.5b	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))

rewrite19.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `cancel-sign-sub-inv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 41

Calls

2 calls:

7.0ms	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))
5.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))

series276.0ms (15%)

Counts

2 → 6

Calls

2 calls:

178.0ms	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))
98.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))

simplify76.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4868	1013
1	4868	1013

prune74.0ms (4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	2	48

Merged error: 0b

Counts

48 → 2

Compiler

Compiled 1462 to 802 computations (45.1% saved)

localize8.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b

(/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y)

0.0b

(-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x)

0.1b

(/.f64 1 (-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x))

rewrite35.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
16×	`add-cube-cbrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/r*_binary64`
5×	`add-log-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`pow1_binary64` `associate-/l*_binary64`
3×	`cbrt-undiv_binary64` `cancel-sign-sub-inv_binary64` `div-exp_binary64`
2×	`flip3--_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `inv-pow_binary64` `prod-exp_binary64` `rec-exp_binary64` `pow-flip_binary64`

Counts

3 → 77

Calls

3 calls:

12.0ms

(-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x)

11.0ms

(/.f64 1 (-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x))

6.0ms

(/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y)

series277.0ms (15%)

Counts

3 → 9

Calls

3 calls:

156.0ms

(/.f64 1 (-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x))

81.0ms

(-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x)

39.0ms

(/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y)

simplify74.0ms (4%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4957	1540
1	4957	1540

prune80.0ms (4.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	86	2	88

Merged error: 0b

Counts

88 → 2

Compiler

Compiled 1579 to 976 computations (38.2% saved)

regimes49.0ms (2.7%)

Compiler: Compiled 186 to 184 computations (1.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	18
1	24	18

end0.0ms (0%)

sample604.0ms (32.8%)

Algorithm

1×

intervals

Results

330.0ms

8000×

body

128

valid

Compiler

Compiled 61 to 57 computations (6.6% saved)

Details

analyze227.0ms (12.3%)

sample18.0ms (1%)

simplify14.0ms (0.8%)

prune2.0ms (0.1%)

localize8.0ms (0.4%)

rewrite19.0ms (1%)

series276.0ms (15%)

simplify76.0ms (4.1%)

prune74.0ms (4%)

localize8.0ms (0.5%)

rewrite35.0ms (1.9%)

series277.0ms (15%)

simplify74.0ms (4%)

prune80.0ms (4.3%)

regimes49.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample604.0ms (32.8%)

Profiling