Details

analyze42.0ms (1.6%)

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
59.3%	40.6%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample12.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify156.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

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)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite19.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_24289`
22×	`add-sqr-sqrt_binary64_24311`
20×	`times-frac_binary64_24295`
12×	`add-cube-cbrt_binary64_24324`
6×	`distribute-lft-out_binary64_24240`
5×	`difference-of-squares_binary64_24258` `associate-/l*_binary64_24234` `distribute-lft-out--_binary64_24241`
4×	`associate-/r*_binary64_24233`
3×	`add-cbrt-cube_binary64_24325` `add-exp-log_binary64_24327`
2×	`associate-/r/_binary64_24235` `associate-/l/_binary64_24236`
1×	`flip3-+_binary64_24292` `clear-num_binary64_24288` `add-log-exp_binary64_24328` `cbrt-undiv_binary64_24323` `div-sub_binary64_24294` `div-exp_binary64_24340` `div-inv_binary64_24286` `flip3--_binary64_24293` `flip-+_binary64_24263` `pow1_binary64_24350` `flip--_binary64_24264` `frac-2neg_binary64_24300`

Counts

1 → 46

Calls

1 calls:

15.0ms

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

series63.0ms (2.4%)

Counts

1 → 15

Calls

1 calls:

63.0ms

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

Compiler

Compiled 231 to 219 computations (5.2% saved)

simplify62.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	6407	930

prune44.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	3	62

Error

Counts

62 → 3

Compiler

Compiled 792 to 206 computations (74% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite41.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

93×	`*-un-lft-identity_binary64_24289`
61×	`add-sqr-sqrt_binary64_24311`
60×	`times-frac_binary64_24295`
52×	`exp-prod_binary64_24341`
35×	`add-cube-cbrt_binary64_24324`
27×	`log-pow_binary64_24378`
16×	`distribute-lft-out_binary64_24240`
13×	`difference-of-squares_binary64_24258` `distribute-lft-out--_binary64_24241`
6×	`associate-/r/_binary64_24235`
5×	`associate-/l*_binary64_24234` `add-cbrt-cube_binary64_24325` `add-exp-log_binary64_24327`
4×	`add-log-exp_binary64_24328` `pow1_binary64_24350` `associate-/r*_binary64_24233`
3×	`flip3-+_binary64_24292` `div-sub_binary64_24294` `log-prod_binary64_24375` `div-inv_binary64_24286` `flip-+_binary64_24263`
2×	`exp-diff_binary64_24337` `associate-/l/_binary64_24236`
1×	`clear-num_binary64_24288` `cbrt-undiv_binary64_24323` `log-div_binary64_24376` `div-exp_binary64_24340` `rem-exp-log_binary64_24329` `rem-log-exp_binary64_24330` `flip3--_binary64_24293` `flip--_binary64_24264` `frac-2neg_binary64_24300`

Counts

3 → 120

Calls

3 calls:

13.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
9.0ms	(exp.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
8.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

series284.0ms (10.7%)

Counts

3 → 48

Calls

3 calls:

120.0ms	(exp.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
99.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
65.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 960 to 894 computations (6.9% saved)

simplify80.0ms (3%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4986	2377
1	4986	2377

prune105.0ms (4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	168	3	171

Error

Counts

171 → 3

Compiler

Compiled 2436 to 628 computations (74.2% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite103.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Rules

321×	`*-un-lft-identity_binary64_24289`
190×	`times-frac_binary64_24295`
183×	`add-sqr-sqrt_binary64_24311`
160×	`cbrt-prod_binary64_24320`
89×	`add-cube-cbrt_binary64_24324`
56×	`distribute-lft-out_binary64_24240`
51×	`swap-sqr_binary64_24256`
47×	`distribute-lft-out--_binary64_24241`
35×	`difference-of-squares_binary64_24258`
29×	`associate-r_binary64_24229` `associate-l_binary64_24230`
15×	`associate-/l*_binary64_24234`
14×	`associate-/r/_binary64_24235`
12×	`associate-/r*_binary64_24233` `add-exp-log_binary64_24327`
11×	`pow1_binary64_24350`
10×	`add-cbrt-cube_binary64_24325`
9×	`unswap-sqr_binary64_24257`
7×	`flip3-+_binary64_24292` `div-inv_binary64_24286` `flip-+_binary64_24263`
6×	`associate-/l/_binary64_24236` `pow1/3_binary64_24371`
4×	`add-log-exp_binary64_24328` `cbrt-div_binary64_24321`
3×	`clear-num_binary64_24288` `cbrt-undiv_binary64_24323` `div-sub_binary64_24294` `div-exp_binary64_24340` `flip3--_binary64_24293` `flip--_binary64_24264` `frac-2neg_binary64_24300`
2×	`pow-sqr_binary64_24262` `pow-prod-up_binary64_24359` `pow-prod-down_binary64_24360`
1×	`frac-times_binary64_24299` `pow2_binary64_24370` `cbrt-unprod_binary64_24322` `-commutative_binary64_24220` `prod-exp_binary64_24338` `pow-plus_binary64_24352` `associate-r/_binary64_24231` `associate-*l/_binary64_24232`

Counts

4 → 277

Calls

4 calls:

40.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
8.0ms	(/.f64 (-.f64 x y) (+.f64 x y))
8.0ms	(/.f64 (-.f64 x y) (+.f64 x y))
8.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

series365.0ms (13.7%)

Counts

4 → 60

Calls

4 calls:

139.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
80.0ms	(/.f64 (-.f64 x y) (+.f64 x y))
75.0ms	(/.f64 (-.f64 x y) (+.f64 x y))
71.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 2352 to 1464 computations (37.8% saved)

simplify124.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

337 → 337

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5574	7501

prune297.0ms (11.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	337	0	337
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	337	3	340

Error

Counts

340 → 3

Compiler

Compiled 10907 to 1581 computations (85.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_24311`
13×	`associate-r_binary64_24229`
10×	`add-cube-cbrt_binary64_24324` `*-un-lft-identity_binary64_24289` `times-frac_binary64_24295`
7×	`add-cbrt-cube_binary64_24325` `add-exp-log_binary64_24327`
4×	`add-log-exp_binary64_24328` `pow1_binary64_24350`
3×	`associate-l_binary64_24230`
2×	`cbrt-unprod_binary64_24322` `prod-exp_binary64_24338` `unswap-sqr_binary64_24257`
1×	`cbrt-undiv_binary64_24323` `div-exp_binary64_24340` `sub-neg_binary64_24282` `cancel-sign-sub-inv_binary64_24255` `-commutative_binary64_24220` `div-inv_binary64_24286` `flip3--_binary64_24293` `associate-r/_binary64_24231` `diff-log_binary64_24381` `pow-prod-down_binary64_24360` `flip--_binary64_24264`

Counts

2 → 44

Calls

2 calls:

7.0ms	(*.f64 2 (/.f64 y x))
3.0ms	(-.f64 1 (*.f64 2 (/.f64 y x)))

series141.0ms (5.3%)

Counts

2 → 18

Calls

2 calls:

82.0ms	(-.f64 1 (*.f64 2 (/.f64 y x)))
59.0ms	(*.f64 2 (/.f64 y x))

Compiler

Compiled 186 to 192 computations (-3.2% saved)

simplify65.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4953	636
1	4953	636

prune36.0ms (1.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	62	3	65

Error

Counts

65 → 3

Compiler

Compiled 646 to 385 computations (40.4% saved)

regimes61.0ms (2.3%)

Accuracy

Total 0.0b remaining (87.7%)

Threshold costs 0.0b (87.7%)

Compiler

Compiled 510 to 303 computations (40.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	14
1	19	14

end0.0ms (0%)

sample518.0ms (19.5%)

Algorithm

1×

intervals

Results

186.0ms

8000×

body

128

valid

Compiler

Compiled 192 to 116 computations (39.6% saved)

Details

analyze42.0ms (1.6%)

sample12.0ms (0.4%)

simplify156.0ms (5.9%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite19.0ms (0.7%)

series63.0ms (2.4%)

simplify62.0ms (2.3%)

prune44.0ms (1.6%)

localize7.0ms (0.3%)

rewrite41.0ms (1.6%)

series284.0ms (10.7%)

simplify80.0ms (3%)

prune105.0ms (4%)

localize8.0ms (0.3%)

rewrite103.0ms (3.9%)

series365.0ms (13.7%)

simplify124.0ms (4.7%)

prune297.0ms (11.2%)

localize5.0ms (0.2%)

rewrite13.0ms (0.5%)

series141.0ms (5.3%)

simplify65.0ms (2.4%)

prune36.0ms (1.4%)

regimes61.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample518.0ms (19.5%)

Profiling