Details

analyze240.0ms (6.7%)

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)

sample15.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify232.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	756	10
1	756	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: 0.1b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite15.0ms (0.4%)

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))

series98.0ms (2.7%)

Counts

1 → 3

Calls

1 calls:

98.0ms

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

simplify63.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4962	802
1	4962	802

prune45.0ms (1.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	5	49

Merged error: 0.0b

Counts

49 → 5

Compiler

Compiled 729 to 173 computations (76.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
0.1b	(/.f64 (-.f64 n f) (+.f64 f n))

rewrite45.0ms (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:

16.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
9.0ms	(/.f64 (-.f64 n f) (+.f64 f n))

series188.0ms (5.2%)

Counts

2 → 6

Calls

2 calls:

99.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
89.0ms	(/.f64 (-.f64 n f) (+.f64 f n))

simplify91.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	6235	3700

prune131.0ms (3.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	176	4	180
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	178	7	185

Merged error: 0b

Counts

185 → 7

Compiler

Compiled 3147 to 825 computations (73.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 3)))
0.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 3))
0.1b	(/.f64 (-.f64 n f) (+.f64 n f))
0.1b	(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 3)

rewrite131.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Rules

445×	`*-un-lft-identity_binary64`
443×	`times-frac_binary64`
313×	`add-sqr-sqrt_binary64`
290×	`cbrt-prod_binary64`
207×	`add-cube-cbrt_binary64`
156×	`unpow-prod-down_binary64` `cube-prod_binary64`
66×	`distribute-lft-out_binary64`
65×	`associate-/r*_binary64`
53×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
27×	`associate-/r/_binary64`
14×	`div-inv_binary64`
13×	`flip3-+_binary64` `add-exp-log_binary64` `flip-+_binary64`
10×	`add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`pow1_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
4×	`add-log-exp_binary64` `div-exp_binary64`
3×	`pow-unpow_binary64` `cbrt-undiv_binary64` `cube-div_binary64`
2×	`cbrt-div_binary64` `associate-/l/_binary64` `pow1/3_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `pow-flip_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `flip3--_binary64` `1-exp_binary64` `pow-pow_binary64` `div-sub_binary64` `inv-pow_binary64` `rec-exp_binary64` `flip--_binary64`

Counts

4 → 451

Calls

4 calls:

30.0ms	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 3)))
13.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 3))
12.0ms	(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 3)
9.0ms	(/.f64 (-.f64 n f) (+.f64 n f))

series421.0ms (11.7%)

Counts

4 → 12

Calls

4 calls:

123.0ms	(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 3)
112.0ms	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 3)))
103.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 3))
82.0ms	(/.f64 (-.f64 n f) (+.f64 n f))

simplify162.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

463 → 463

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5263	10467

prune429.0ms (11.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	463	0	463
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	463	7	470

Merged error: 0b

Counts

470 → 7

Compiler

Compiled 9011 to 3304 computations (63.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.1b	(/.f64 (+.f64 f n) (-.f64 n f))
0.1b	(/.f64 (+.f64 f n) (-.f64 n f))
0.1b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite56.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

131×	`*-un-lft-identity_binary64`
85×	`add-sqr-sqrt_binary64`
80×	`times-frac_binary64`
47×	`add-cube-cbrt_binary64`
26×	`cbrt-prod_binary64`
23×	`distribute-lft-out_binary64`
19×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
15×	`associate-/r*_binary64`
12×	`associate-/l*_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/r/_binary64`
6×	`associate-/l/_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
3×	`flip3-+_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`cbrt-div_binary64` `pow1/3_binary64`

Counts

4 → 170

Calls

4 calls:

9.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
9.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
9.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
8.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

series433.0ms (12%)

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
87.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
86.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
78.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

simplify87.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4933	3261
1	4933	3261

prune168.0ms (4.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	182	7	189

Merged error: 0b

Counts

189 → 7

Compiler

Compiled 6004 to 714 computations (88.1% saved)

regimes34.0ms (1%)

Compiler: Compiled 228 to 132 computations (42.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	18
1	22	18

end0.0ms (0%)

sample474.0ms (13.2%)

Algorithm

1×

intervals

Results

207.0ms

8000×

body

128

valid

Compiler

Compiled 133 to 81 computations (39.1% saved)

Details

analyze240.0ms (6.7%)

sample15.0ms (0.4%)

simplify232.0ms (6.5%)

prune6.0ms (0.2%)

localize7.0ms (0.2%)

rewrite15.0ms (0.4%)

series98.0ms (2.7%)

simplify63.0ms (1.7%)

prune45.0ms (1.3%)

localize6.0ms (0.2%)

rewrite45.0ms (1.3%)

series188.0ms (5.2%)

simplify91.0ms (2.5%)

prune131.0ms (3.7%)

localize8.0ms (0.2%)

rewrite131.0ms (3.6%)

series421.0ms (11.7%)

simplify162.0ms (4.5%)

prune429.0ms (11.9%)

localize8.0ms (0.2%)

rewrite56.0ms (1.5%)

series433.0ms (12%)

simplify87.0ms (2.4%)

prune168.0ms (4.7%)

regimes34.0ms (1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample474.0ms (13.2%)

Profiling