Details

analyze178.0ms (5.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	782	20
1	782	20
0	2	2
1	2	2

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 8 to 6 computations (25% saved)

sample14.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify66.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	782	10
1	782	10

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x y) (-.f64 x y))

rewrite47.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`*-un-lft-identity_binary64_13036`
22×	`add-sqr-sqrt_binary64_13058`
20×	`times-frac_binary64_13042`
12×	`add-cube-cbrt_binary64_13071`
6×	`distribute-lft-out_binary64_12987`
5×	`difference-of-squares_binary64_13005` `distribute-lft-out--_binary64_12988` `associate-/r*_binary64_12980`
4×	`associate-/l*_binary64_12981`
3×	`add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072`
2×	`associate-/l/_binary64_12983` `associate-/r/_binary64_12982`
1×	`pow1_binary64_13097` `div-exp_binary64_13087` `add-log-exp_binary64_13075` `cbrt-undiv_binary64_13070` `frac-2neg_binary64_13047` `clear-num_binary64_13035` `div-inv_binary64_13033` `flip3-+_binary64_13039` `flip-+_binary64_13010` `flip3--_binary64_13040` `flip--_binary64_13011`

Counts

1 → 45

Calls

1 calls:

8.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

Compiler

Compiled 714 to 162 computations (77.3% saved)

series98.0ms (3.2%)

Error

0.0b

Counts

1 → 21

Calls

1 calls:

82.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

Compiler

Compiled 558 to 469 computations (15.9% saved)

simplify62.0ms (2%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5508	1063

prune46.0ms (1.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	4	67

Error

Counts

67 → 4

Compiler

Compiled 877 to 265 computations (69.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

rewrite169.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

178×	`times-frac_binary64_13042`
174×	`*-un-lft-identity_binary64_13036`
122×	`add-sqr-sqrt_binary64_13058`
80×	`add-cube-cbrt_binary64_13071`
30×	`associate-/r*_binary64_12980`
26×	`distribute-lft-out_binary64_12987`
21×	`difference-of-squares_binary64_13005` `distribute-lft-out--_binary64_12988`
15×	`add-exp-log_binary64_13074`
11×	`associate-/r/_binary64_12982`
9×	`add-cbrt-cube_binary64_13072`
8×	`div-exp_binary64_13087` `associate-/l*_binary64_12981`
6×	`div-inv_binary64_13033`
5×	`flip3-+_binary64_13039` `flip-+_binary64_13010`
4×	`cbrt-undiv_binary64_13070`
3×	`pow1_binary64_13097`
2×	`add-log-exp_binary64_13075` `frac-2neg_binary64_13047` `clear-num_binary64_13035` `associate-/l/_binary64_12983` `1-exp_binary64_13080` `rec-exp_binary64_13086`
1×	`div-sub_binary64_13041` `flip3--_binary64_13040` `flip--_binary64_13011` `inv-pow_binary64_13121` `pow-flip_binary64_13110`

Counts

2 → 174

Calls

2 calls:

11.0ms	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
8.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 3560 to 1185 computations (66.7% saved)

series190.0ms (6.2%)

Error

Counts

2 → 42

Calls

2 calls:

84.0ms	(/.f64 (-.f64 x y) (+.f64 x y))
77.0ms	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))

Compiler

Compiled 1191 to 1009 computations (15.3% saved)

simplify115.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5982	4198

prune146.0ms (4.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	215	1	216
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	216	4	220

Error

Counts

220 → 4

Compiler

Compiled 3442 to 972 computations (71.8% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))))
0.0b	(/.f64 x (+.f64 x y))
0.0b	(/.f64 y (+.f64 x y))
0.0b	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))

rewrite252.0ms (8.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

204×	`*-un-lft-identity_binary64_13036`
167×	`times-frac_binary64_13042`
122×	`add-sqr-sqrt_binary64_13058`
62×	`add-cube-cbrt_binary64_13071`
35×	`distribute-lft-out--_binary64_12988`
31×	`distribute-lft-out_binary64_12987`
30×	`associate-/r/_binary64_12982`
25×	`associate-/r*_binary64_12980`
20×	`difference-of-squares_binary64_13005`
18×	`cancel-sign-sub-inv_binary64_13002`
15×	`distribute-rgt-out--_binary64_12990`
14×	`div-inv_binary64_13033`
13×	`flip3-+_binary64_13039` `flip-+_binary64_13010`
12×	`add-exp-log_binary64_13074`
10×	`add-cbrt-cube_binary64_13072`
9×	`associate-/l*_binary64_12981`
6×	`add-log-exp_binary64_13075`
5×	`pow1_binary64_13097`
4×	`div-exp_binary64_13087`
3×	`cbrt-undiv_binary64_13070` `frac-2neg_binary64_13047` `clear-num_binary64_13035`
2×	`frac-sub_binary64_13045` `sub-div_binary64_13043` `flip3--_binary64_13040` `flip--_binary64_13011`
1×	`diff-log_binary64_13128` `sub-neg_binary64_13029` `inv-pow_binary64_13121` `pow-flip_binary64_13110` `1-exp_binary64_13080` `rec-exp_binary64_13086`

Counts

4 → 202

Calls

4 calls:

31.0ms	(/.f64 1 (-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))))
24.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
6.0ms	(/.f64 x (+.f64 x y))
5.0ms	(/.f64 y (+.f64 x y))

Compiler

Compiled 4749 to 1347 computations (71.6% saved)

series386.0ms (12.5%)

Error

Counts

4 → 81

Calls

4 calls:

104.0ms	(/.f64 1 (-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))))
94.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
75.0ms	(/.f64 y (+.f64 x y))
56.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 2781 to 2025 computations (27.2% saved)

simplify105.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5379	4764

prune192.0ms (6.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	283	0	283
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	283	4	287

Error

Counts

287 → 4

Compiler

Compiled 4976 to 1598 computations (67.9% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 2 (/.f64 y x))

rewrite30.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_13058`
13×	`associate-r_binary64_12976`
10×	`times-frac_binary64_13042`
9×	`add-cube-cbrt_binary64_13071` `*-un-lft-identity_binary64_13036`
6×	`add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072`
3×	`pow1_binary64_13097` `associate-l_binary64_12977`
2×	`prod-exp_binary64_13085` `cbrt-unprod_binary64_13069` `unswap-sqr_binary64_13004`
1×	`pow-prod-down_binary64_13107` `div-exp_binary64_13087` `add-log-exp_binary64_13075` `cbrt-undiv_binary64_13070` `associate-r/_binary64_12978` `div-inv_binary64_13033` `-commutative_binary64_12967`

Counts

1 → 32

Calls

1 calls:

7.0ms

(*.f64 2 (/.f64 y x))

Compiler

Compiled 437 to 258 computations (41% saved)

series61.0ms (2%)

Error

Counts

1 → 6

Calls

1 calls:

58.0ms

(*.f64 2 (/.f64 y x))

Compiler

Compiled 126 to 111 computations (11.9% saved)

simplify91.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4974	369
1	4974	369

prune23.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	38	4	42

Error

Counts

42 → 4

Compiler

Compiled 432 to 247 computations (42.8% saved)

regimes97.0ms (3.1%)

Accuracy

Total 0.0b remaining (91.6%)

Threshold costs 0.0b (91.6%)

Compiler

Compiled 915 to 560 computations (38.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	13
1	19	13

end0.0ms (0%)

sample695.0ms (22.5%)

Algorithm

1×

intervals

Results

196.0ms

8000×

body

128

valid

Compiler

Compiled 307 to 189 computations (38.4% saved)

Details

analyze178.0ms (5.8%)

sample14.0ms (0.4%)

simplify66.0ms (2.1%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite47.0ms (1.5%)

series98.0ms (3.2%)

simplify62.0ms (2%)

prune46.0ms (1.5%)

localize5.0ms (0.2%)

rewrite169.0ms (5.5%)

series190.0ms (6.2%)

simplify115.0ms (3.7%)

prune146.0ms (4.7%)

localize7.0ms (0.2%)

rewrite252.0ms (8.1%)

series386.0ms (12.5%)

simplify105.0ms (3.4%)

prune192.0ms (6.2%)

localize5.0ms (0.1%)

rewrite30.0ms (1%)

series61.0ms (2%)

simplify91.0ms (2.9%)

prune23.0ms (0.8%)

regimes97.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample695.0ms (22.5%)

Profiling