Details

analyze268.0ms (6.2%)

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
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample16.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify174.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	782	10
1	782	10

prune6.0ms (0.1%)

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 14 to 10 computations (28.6% saved)

localize14.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`associate-/r*_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 45

Calls

1 calls:

10.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

series56.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

55.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

simplify73.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5053	802

prune40.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	4	49

Merged error: 0b

Counts

49 → 4

Compiler

Compiled 731 to 163 computations (77.7% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0b	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0b	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

rewrite52.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

121×	`*-un-lft-identity_binary64`
80×	`times-frac_binary64`
79×	`add-sqr-sqrt_binary64`
78×	`cbrt-prod_binary64`
45×	`add-cube-cbrt_binary64`
21×	`distribute-lft-out_binary64`
17×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
8×	`associate-/r/_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
3×	`cbrt-div_binary64` `pow1/3_binary64`
2×	`associate-/l/_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

4 → 150

Calls

4 calls:

13.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
7.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
7.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

series404.0ms (9.3%)

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
119.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
110.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
47.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

simplify88.0ms (2%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	6124	3323

prune191.0ms (4.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	162	4	166

Merged error: 0b

Counts

166 → 4

Compiler

Compiled 5462 to 669 computations (87.8% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 n f))
0.6b	(cbrt.f64 (+.f64 f n))
0.6b	(cbrt.f64 (+.f64 f n))
0.6b	(cbrt.f64 (+.f64 f n))

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
8×	`cbrt-div_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `distribute-lft-out_binary64` `flip-+_binary64`
1×	`flip3--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 57

Calls

4 calls:

9.0ms	(cbrt.f64 (+.f64 f n))
7.0ms	(cbrt.f64 (+.f64 f n))
4.0ms	(cbrt.f64 (+.f64 f n))
3.0ms	(cbrt.f64 (-.f64 n f))

series550.0ms (12.6%)

Counts

4 → 12

Calls

4 calls:

155.0ms	(cbrt.f64 (+.f64 f n))
148.0ms	(cbrt.f64 (+.f64 f n))
135.0ms	(cbrt.f64 (+.f64 f n))
111.0ms	(cbrt.f64 (-.f64 n f))

simplify73.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4883	889
1	4883	889

prune82.0ms (1.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	69	4	73

Merged error: 0b

Counts

73 → 4

Compiler

Compiled 2426 to 399 computations (83.6% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0b	(*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite124.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

316×	`*-un-lft-identity_binary64`
193×	`add-sqr-sqrt_binary64` `times-frac_binary64`
188×	`sqrt-prod_binary64`
88×	`add-cube-cbrt_binary64`
55×	`distribute-lft-out_binary64`
53×	`swap-sqr_binary64`
46×	`distribute-lft-out--_binary64`
34×	`difference-of-squares_binary64`
29×	`associate-r_binary64` `associate-l_binary64`
20×	`pow1_binary64`
14×	`associate-/r/_binary64`
10×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64`
8×	`associate-/l*_binary64`
7×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
6×	`rem-sqrt-square_binary64`
5×	`pow-prod-up_binary64` `sqrt-div_binary64`
4×	`associate-/l/_binary64` `add-log-exp_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`flip3-+_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `sqr-abs_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `associate-r/_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 278

Calls

4 calls:

54.0ms	(*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
13.0ms	(sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

series433.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

232.0ms	(sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
99.0ms	(*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
53.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
49.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

simplify226.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

290 → 290

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	4919	5414
1	4919	5414

prune282.0ms (6.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	290	0	290
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	290	4	294

Merged error: 0b

Counts

294 → 4

Compiler

Compiled 6088 to 857 computations (85.9% saved)

regimes140.0ms (3.2%)

Compiler: Compiled 670 to 377 computations (43.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms (0%)

sample981.0ms (22.5%)

Algorithm

1×

intervals

Results

370.0ms

8000×

body

128

valid

Compiler

Compiled 224 to 125 computations (44.2% saved)

Details

analyze268.0ms (6.2%)

sample16.0ms (0.4%)

simplify174.0ms (4%)

prune6.0ms (0.1%)

localize14.0ms (0.3%)

rewrite15.0ms (0.3%)

series56.0ms (1.3%)

simplify73.0ms (1.7%)

prune40.0ms (0.9%)

localize13.0ms (0.3%)

rewrite52.0ms (1.2%)

series404.0ms (9.3%)

simplify88.0ms (2%)

prune191.0ms (4.4%)

localize13.0ms (0.3%)

rewrite29.0ms (0.7%)

series550.0ms (12.6%)

simplify73.0ms (1.7%)

prune82.0ms (1.9%)

localize7.0ms (0.2%)

rewrite124.0ms (2.8%)

series433.0ms (9.9%)

simplify226.0ms (5.2%)

prune282.0ms (6.5%)

regimes140.0ms (3.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample981.0ms (22.5%)

Profiling