Details

analyze361.0ms (7.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2142	26
1	2142	26
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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
56.2%	43.7%	0.1%	5
65.6%	34.3%	0.1%	6
79.6%	20.3%	0.1%	7
83.5%	16.4%	0.1%	8
90.1%	9.8%	0.1%	9
91.9%	8%	0.1%	10
95.1%	4.8%	0.1%	11
96%	4%	0.1%	12
97.5%	2.4%	0.1%	13
97.9%	2%	0.1%	14

Symmetry

Compiler

Compiled 10 to 8 computations (20% saved)

sample20.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify217.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (212.0ms)

Iter	Nodes	Cost
0	2142	13
1	2142	13

prune2.0ms (0%)

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 18 to 14 computations (22.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

rewrite72.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

58×	`*-un-lft-identity_binary64_24289`
40×	`add-sqr-sqrt_binary64_24311`
30×	`times-frac_binary64_24295`
19×	`distribute-lft-out--_binary64_24241`
14×	`add-cube-cbrt_binary64_24324`
13×	`difference-of-squares_binary64_24258`
6×	`distribute-lft-out_binary64_24240` `associate-/r*_binary64_24233`
5×	`associate-/l*_binary64_24234`
3×	`add-exp-log_binary64_24327` `add-cbrt-cube_binary64_24325`
2×	`flip3--_binary64_24293` `associate-/l/_binary64_24236` `flip--_binary64_24264` `associate-/r/_binary64_24235`
1×	`pow1_binary64_24350` `div-exp_binary64_24340` `add-log-exp_binary64_24328` `cbrt-undiv_binary64_24323` `frac-2neg_binary64_24300` `div-sub_binary64_24294` `clear-num_binary64_24288` `div-inv_binary64_24286`

Counts

1 → 58

Calls

1 calls:

11.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

Compiler

Compiled 1117 to 472 computations (57.7% saved)

series202.0ms (4.1%)

Error

0.0b

Counts

1 → 21

Calls

1 calls:

169.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

Compiler

Compiled 1349 to 1074 computations (20.4% saved)

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5374	2015

prune82.0ms (1.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	5	80

Error

Counts

80 → 5

Compiler

Compiled 1614 to 775 computations (52% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (-.f64 2 (+.f64 y x)))
0.0b	(/.f64 y (-.f64 2 (+.f64 y x)))
0.0b	(-.f64 (/.f64 x (-.f64 2 (+.f64 y x))) (/.f64 y (-.f64 2 (+.f64 y x))))

rewrite231.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

152×	`*-un-lft-identity_binary64_24289`
82×	`times-frac_binary64_24295`
75×	`add-sqr-sqrt_binary64_24311`
47×	`distribute-lft-out--_binary64_24241`
37×	`add-cube-cbrt_binary64_24324`
24×	`cancel-sign-sub-inv_binary64_24255`
17×	`difference-of-squares_binary64_24258` `distribute-lft-out_binary64_24240`
12×	`associate-/r*_binary64_24233`
10×	`associate-/r/_binary64_24235`
7×	`add-exp-log_binary64_24327` `add-cbrt-cube_binary64_24325`
6×	`flip3--_binary64_24293` `flip--_binary64_24264` `associate-/l*_binary64_24234`
5×	`add-log-exp_binary64_24328` `div-inv_binary64_24286`
3×	`pow1_binary64_24350` `distribute-rgt-out--_binary64_24243`
2×	`div-exp_binary64_24340` `cbrt-undiv_binary64_24323` `frac-2neg_binary64_24300` `clear-num_binary64_24288`
1×	`diff-log_binary64_24381` `frac-sub_binary64_24298` `sub-div_binary64_24296` `sub-neg_binary64_24282`

Counts

3 → 139

Calls

3 calls:

47.0ms	(-.f64 (/.f64 x (-.f64 2 (+.f64 y x))) (/.f64 y (-.f64 2 (+.f64 y x))))
8.0ms	(/.f64 y (-.f64 2 (+.f64 y x)))
8.0ms	(/.f64 x (-.f64 2 (+.f64 y x)))

Compiler

Compiled 3490 to 1778 computations (49.1% saved)

series508.0ms (10.4%)

Error

Counts

3 → 59

Calls

3 calls:

194.0ms	(-.f64 (/.f64 x (-.f64 2 (+.f64 y x))) (/.f64 y (-.f64 2 (+.f64 y x))))
128.0ms	(/.f64 x (-.f64 2 (+.f64 y x)))
104.0ms	(/.f64 y (-.f64 2 (+.f64 y x)))

Compiler

Compiled 4045 to 3023 computations (25.3% saved)

simplify96.0ms (2%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5026	4845

prune223.0ms (4.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	197	1	198
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	198	5	203

Error

Counts

203 → 5

Compiler

Compiled 4878 to 2481 computations (49.1% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 2 (+.f64 y x)))
0.1b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 2 (+.f64 y x))))

rewrite127.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

62×	`*-un-lft-identity_binary64_24289`
47×	`add-sqr-sqrt_binary64_24311`
38×	`times-frac_binary64_24295`
24×	`add-cube-cbrt_binary64_24324` `associate-r_binary64_24229`
15×	`add-exp-log_binary64_24327` `distribute-lft-out--_binary64_24241`
9×	`add-cbrt-cube_binary64_24325`
8×	`difference-of-squares_binary64_24258`
7×	`distribute-lft-out_binary64_24240`
6×	`associate-/r*_binary64_24233`
5×	`pow1_binary64_24350` `associate-l_binary64_24230`
4×	`div-exp_binary64_24340` `prod-exp_binary64_24338` `flip3--_binary64_24293` `flip--_binary64_24264` `associate-/r/_binary64_24235`
3×	`unswap-sqr_binary64_24257` `associate-/l*_binary64_24234`
2×	`1-exp_binary64_24333` `rec-exp_binary64_24339` `add-log-exp_binary64_24328` `cbrt-unprod_binary64_24322` `cbrt-undiv_binary64_24323` `frac-times_binary64_24299` `associate-*l/_binary64_24232` `div-inv_binary64_24286`
1×	`pow-prod-down_binary64_24360` `un-div-inv_binary64_24287` `associate-r/_binary64_24231` `-commutative_binary64_24220` `inv-pow_binary64_24374` `pow-flip_binary64_24363` `frac-2neg_binary64_24300` `clear-num_binary64_24288`

Counts

2 → 98

Calls

2 calls:

20.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 2 (+.f64 y x))))
8.0ms	(/.f64 1 (-.f64 2 (+.f64 y x)))

Compiler

Compiled 1968 to 1099 computations (44.2% saved)

series336.0ms (6.8%)

Error

Counts

2 → 41

Calls

2 calls:

159.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 2 (+.f64 y x))))
120.0ms	(/.f64 1 (-.f64 2 (+.f64 y x)))

Compiler

Compiled 2666 to 2079 computations (22% saved)

simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5037	2902

prune128.0ms (2.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	139	5	144

Error

Counts

144 → 5

Compiler

Compiled 2754 to 1506 computations (45.3% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 2 (+.f64 y x)))
0.6b	(cbrt.f64 (-.f64 2 (+.f64 y x)))
0.6b	(cbrt.f64 (-.f64 2 (+.f64 y x)))

rewrite127.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`*-un-lft-identity_binary64_24289`
23×	`cbrt-prod_binary64_24320`
16×	`add-sqr-sqrt_binary64_24311`
8×	`add-cube-cbrt_binary64_24324` `cbrt-div_binary64_24321`
7×	`distribute-lft-out--_binary64_24241`
4×	`pow1/3_binary64_24371` `pow1_binary64_24350` `add-log-exp_binary64_24328` `add-exp-log_binary64_24327` `add-cbrt-cube_binary64_24325` `flip3--_binary64_24293` `flip--_binary64_24264` `difference-of-squares_binary64_24258`
3×	`distribute-lft-out_binary64_24240`

Counts

4 → 63

Calls

4 calls:

6.0ms	(cbrt.f64 (-.f64 2 (+.f64 y x)))
5.0ms	(cbrt.f64 (-.f64 2 (+.f64 y x)))
5.0ms	(cbrt.f64 (-.f64 2 (+.f64 y x)))
3.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 2698 to 1135 computations (57.9% saved)

series593.0ms (12.1%)

Error

Counts

4 → 41

Calls

4 calls:

151.0ms	(cbrt.f64 (-.f64 2 (+.f64 y x)))
141.0ms	(cbrt.f64 (-.f64 2 (+.f64 y x)))
139.0ms	(cbrt.f64 (-.f64 2 (+.f64 y x)))
83.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 5062 to 3203 computations (36.7% saved)

simplify52.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5193	1762

prune158.0ms (3.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	104	5	109

Error

Counts

109 → 5

Compiler

Compiled 4337 to 1907 computations (56% saved)

regimes175.0ms (3.6%)

Accuracy

Total 0.0b remaining (93.2%)

Threshold costs 0.0b (93.2%)

Compiler

Compiled 1939 to 1345 computations (30.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

Removed

()

end0.0ms (0%)

sample1.0s (20.7%)

Algorithm

1×

intervals

Results

208.0ms	7999×	body	128	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 673 to 468 computations (30.5% saved)

Details

analyze361.0ms (7.4%)

sample20.0ms (0.4%)

simplify217.0ms (4.4%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite72.0ms (1.5%)

series202.0ms (4.1%)

simplify66.0ms (1.3%)

prune82.0ms (1.7%)

localize7.0ms (0.1%)

rewrite231.0ms (4.7%)

series508.0ms (10.4%)

simplify96.0ms (2%)

prune223.0ms (4.5%)

localize10.0ms (0.2%)

rewrite127.0ms (2.6%)

series336.0ms (6.8%)

simplify74.0ms (1.5%)

prune128.0ms (2.6%)

localize17.0ms (0.3%)

rewrite127.0ms (2.6%)

series593.0ms (12.1%)

simplify52.0ms (1.1%)

prune158.0ms (3.2%)

regimes175.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.0s (20.7%)

Profiling