Details

analyze232.0ms (7.5%)

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 (0.5%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify162.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	782	10
1	782	10

prune6.0ms (0.2%)

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 (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite14.0ms (0.5%)

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))

series64.0ms (2.1%)

Counts

1 → 14

Calls

1 calls:

64.0ms

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

Compiler

Compiled 209 to 201 computations (3.8% saved)

simplify58.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5562	903

prune46.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	4	60

Merged error: 0.0b

Counts

60 → 4

Compiler

Compiled 770 to 203 computations (73.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 n f) (+.f64 f n))
0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))

rewrite41.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

178×	`times-frac_binary64`
174×	`*-un-lft-identity_binary64`
122×	`add-sqr-sqrt_binary64`
80×	`add-cube-cbrt_binary64`
30×	`associate-/r*_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
15×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64`
8×	`associate-/l*_binary64` `div-exp_binary64`
6×	`div-inv_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3--_binary64` `div-sub_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

2 → 174

Calls

2 calls:

12.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
11.0ms	(/.f64 (-.f64 n f) (+.f64 f n))

series115.0ms (3.7%)

Counts

2 → 28

Calls

2 calls:

59.0ms	(/.f64 (-.f64 n f) (+.f64 f n))
56.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))

Compiler

Compiled 455 to 439 computations (3.5% saved)

simplify98.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5642	3908

prune133.0ms (4.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	201	1	202
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	201	5	206

Merged error: 0b

Counts

206 → 5

Compiler

Compiled 3253 to 892 computations (72.6% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n)))
0.6b	(cbrt.f64 (+.f64 f n))
0.6b	(cbrt.f64 (+.f64 f n))
0.6b	(cbrt.f64 (+.f64 f n))

rewrite31.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n)))
3.0ms	(cbrt.f64 (+.f64 f n))
3.0ms	(cbrt.f64 (+.f64 f n))
3.0ms	(cbrt.f64 (+.f64 f n))

series359.0ms (11.7%)

Counts

4 → 42

Calls

4 calls:

105.0ms	(*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n)))
85.0ms	(cbrt.f64 (+.f64 f n))
84.0ms	(cbrt.f64 (+.f64 f n))
84.0ms	(cbrt.f64 (+.f64 f n))

Compiler

Compiled 1878 to 1356 computations (27.8% saved)

simplify62.0ms (2%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5513	1760

prune104.0ms (3.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	137	5	142

Merged error: 0b

Counts

142 → 5

Compiler

Compiled 3059 to 671 computations (78.1% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
0.2b	(/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f)))

rewrite107.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Rules

624×	`times-frac_binary64`
574×	`*-un-lft-identity_binary64`
412×	`add-sqr-sqrt_binary64`
400×	`sqrt-prod_binary64`
252×	`add-cube-cbrt_binary64`
81×	`distribute-lft-out_binary64`
80×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
42×	`associate-/l*_binary64`
22×	`associate-/r/_binary64` `sqrt-div_binary64`
16×	`associate-/r*_binary64`
11×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`associate-/l/_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `flip-+_binary64`

Counts

2 → 427

Calls

2 calls:

26.0ms	(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
9.0ms	(/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f)))

series159.0ms (5.2%)

Counts

2 → 22

Calls

2 calls:

102.0ms	(/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f)))
57.0ms	(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))

Compiler

Compiled 566 to 488 computations (13.8% saved)

simplify188.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

449 → 449

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5090	14648

prune319.0ms (10.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	449	0	449
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	449	5	454

Merged error: 0b

Counts

454 → 5

Compiler

Compiled 10598 to 1453 computations (86.3% saved)

regimes101.0ms (3.3%)

Compiler: Compiled 994 to 563 computations (43.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms (0%)

sample631.0ms (20.5%)

Algorithm

1×

intervals

Results

216.0ms

8000×

body

128

valid

Compiler

Compiled 332 to 187 computations (43.7% saved)

Details

analyze232.0ms (7.5%)

sample16.0ms (0.5%)

simplify162.0ms (5.2%)

prune6.0ms (0.2%)

localize14.0ms (0.4%)

rewrite14.0ms (0.5%)

series64.0ms (2.1%)

simplify58.0ms (1.9%)

prune46.0ms (1.5%)

localize6.0ms (0.2%)

rewrite41.0ms (1.3%)

series115.0ms (3.7%)

simplify98.0ms (3.2%)

prune133.0ms (4.3%)

localize8.0ms (0.3%)

rewrite31.0ms (1%)

series359.0ms (11.7%)

simplify62.0ms (2%)

prune104.0ms (3.4%)

localize8.0ms (0.3%)

rewrite107.0ms (3.5%)

series159.0ms (5.2%)

simplify188.0ms (6.1%)

prune319.0ms (10.3%)

regimes101.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample631.0ms (20.5%)

Profiling