Details

analyze240.0ms (9.8%)

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)

sample19.0ms (0.8%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify164.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	134	18
1	134	18

prune4.0ms (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: 2.2b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize13.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b

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

0.2b

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

8.9b

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

rewrite23.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_11556`
13×	`add-cube-cbrt_binary64_11567` `*-un-lft-identity_binary64_11535`
9×	`times-frac_binary64_11541`
7×	`add-cbrt-cube_binary64_11568`
6×	`add-exp-log_binary64_11570`
5×	`pow1_binary64_11593` `add-log-exp_binary64_11571`
3×	`associate-l_binary64_11478` `associate-/r_binary64_11481` `associate-r_binary64_11477` `associate-/l_binary64_11482`
2×	`flip3--_binary64_11539` `flip--_binary64_11510` `associate-/r/_binary64_11483`
1×	`unswap-sqr_binary64_11503` `div-inv_binary64_11532` `cbrt-undiv_binary64_11566` `clear-num_binary64_11534` `cbrt-unprod_binary64_11565` `div-exp_binary64_11583` `diff-log_binary64_11624` `sub-neg_binary64_11528` `*-commutative_binary64_11468` `prod-exp_binary64_11581` `frac-2neg_binary64_11546` `pow-prod-down_binary64_11603`

Counts

3 → 58

Calls

3 calls:

7.0ms

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

5.0ms

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

5.0ms

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

series301.0ms (12.3%)

Counts

3 → 9

Calls

3 calls:

184.0ms

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

99.0ms

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

18.0ms

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

simplify71.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4974	1184
1	4974	1184

prune72.0ms (2.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	2	68

Merged error: 0b

Counts

68 → 2

Compiler

Compiled 1269 to 628 computations (50.5% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y)
0.0b	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))
0.1b	(/.f64 1 (-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x))

rewrite29.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_11556`
25×	`*-un-lft-identity_binary64_11535`
18×	`times-frac_binary64_11541`
17×	`add-cube-cbrt_binary64_11567`
12×	`add-cbrt-cube_binary64_11568` `add-exp-log_binary64_11570`
8×	`associate-/r*_binary64_11481`
6×	`pow1_binary64_11593`
4×	`difference-of-squares_binary64_11504` `div-exp_binary64_11583` `distribute-lft-out--_binary64_11489` `associate-/l*_binary64_11482`
3×	`associate-l_binary64_11478` `cbrt-undiv_binary64_11566` `associate-r_binary64_11477` `add-log-exp_binary64_11571`
2×	`div-inv_binary64_11532` `clear-num_binary64_11534` `cbrt-unprod_binary64_11565` `associate-/r/_binary64_11483` `prod-exp_binary64_11581` `frac-2neg_binary64_11546`
1×	`inv-pow_binary64_11617` `flip3--_binary64_11539` `unswap-sqr_binary64_11503` `1-exp_binary64_11576` `pow-flip_binary64_11606` `flip--_binary64_11510` `*-commutative_binary64_11468` `rec-exp_binary64_11582` `pow-prod-down_binary64_11603`

Counts

3 → 80

Calls

3 calls:

11.0ms	(/.f64 1 (-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x))
7.0ms	(/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y)
6.0ms	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))

series370.0ms (15.1%)

Counts

3 → 9

Calls

3 calls:

314.0ms	(/.f64 1 (-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x))
37.0ms	(/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y)
19.0ms	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))

simplify94.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4855	1419
1	4855	1419

prune85.0ms (3.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	89	2	91

Merged error: 0b

Counts

91 → 2

Compiler

Compiled 1581 to 989 computations (37.4% saved)

regimes141.0ms (5.7%)

Compiler: Compiled 1428 to 1018 computations (28.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	18
1	24	18

end0.0ms (0%)

sample814.0ms (33.2%)

Algorithm

1×

intervals

Results

343.0ms

8000×

body

128

valid

Compiler

Compiled 268 to 196 computations (26.9% saved)

Details

analyze240.0ms (9.8%)

sample19.0ms (0.8%)

simplify164.0ms (6.7%)

prune4.0ms (0.1%)

localize13.0ms (0.5%)

rewrite23.0ms (0.9%)

series301.0ms (12.3%)

simplify71.0ms (2.9%)

prune72.0ms (2.9%)

localize9.0ms (0.4%)

rewrite29.0ms (1.2%)

series370.0ms (15.1%)

simplify94.0ms (3.9%)

prune85.0ms (3.5%)

regimes141.0ms (5.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample814.0ms (33.2%)

Profiling