Details

analyze632.0ms (13.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4577	52
1	4577	52
0	3	3
1	3	3

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
55.6%	39.2%	5.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample38.0ms (0.8%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
2.0ms	32×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify211.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (200.0ms)

Iter	Nodes	Cost
0	4625	13
1	4625	13

prune4.0ms (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 → 2

Compiler

Compiled 29 to 28 computations (3.4% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

rewrite67.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-exp-log_binary64_21258` `add-cbrt-cube_binary64_21256`
3×	`add-cube-cbrt_binary64_21255` `add-sqr-sqrt_binary64_21242` `times-frac_binary64_21226` `-un-lft-identity_binary64_21220` `associate-/r_binary64_21164`
2×	`div-exp_binary64_21271` `cbrt-undiv_binary64_21254` `associate-*r/_binary64_21162` `associate-/l/_binary64_21167`
1×	`pow1_binary64_21281` `prod-exp_binary64_21269` `add-log-exp_binary64_21259` `cbrt-unprod_binary64_21253` `frac-2neg_binary64_21231` `clear-num_binary64_21219` `div-inv_binary64_21217` `flip3--_binary64_21224` `flip--_binary64_21195` `associate-/l*_binary64_21165`

Counts

1 → 23

Calls

1 calls:

21.0ms

(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)

Compiler

Compiled 460 to 265 computations (42.4% saved)

series280.0ms (5.8%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

266.0ms

(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)

Compiler

Compiled 445 to 367 computations (17.5% saved)

simplify75.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5086	564

prune51.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	41	2	43

Error

Counts

43 → 2

Compiler

Compiled 498 to 282 computations (43.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) z)
0.0b	(*.f64 4 (/.f64 (-.f64 x y) z))

rewrite90.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`add-sqr-sqrt_binary64_21242`
36×	`*-un-lft-identity_binary64_21220`
31×	`times-frac_binary64_21226`
22×	`add-cube-cbrt_binary64_21255`
19×	`associate-r_binary64_21160`
9×	`add-exp-log_binary64_21258` `add-cbrt-cube_binary64_21256`
7×	`difference-of-squares_binary64_21189` `distribute-lft-out--_binary64_21172`
5×	`associate-/l*_binary64_21165`
4×	`pow1_binary64_21281`
3×	`associate-l_binary64_21161` `associate-/r*_binary64_21164`
2×	`div-exp_binary64_21271` `prod-exp_binary64_21269` `add-log-exp_binary64_21259` `cbrt-unprod_binary64_21253` `cbrt-undiv_binary64_21254` `unswap-sqr_binary64_21188` `div-inv_binary64_21217` `associate-/l/_binary64_21167`
1×	`pow-prod-down_binary64_21291` `associate-r/_binary64_21162` `-commutative_binary64_21151` `frac-2neg_binary64_21231` `div-sub_binary64_21225` `clear-num_binary64_21219` `flip3--_binary64_21224` `flip--_binary64_21195`

Counts

2 → 76

Calls

2 calls:

11.0ms	(*.f64 4 (/.f64 (-.f64 x y) z))
9.0ms	(/.f64 (-.f64 x y) z)

Compiler

Compiled 1285 to 551 computations (57.1% saved)

series308.0ms (6.4%)

Error

Counts

2 → 30

Calls

2 calls:

167.0ms	(*.f64 4 (/.f64 (-.f64 x y) z))
114.0ms	(/.f64 (-.f64 x y) z)

Compiler

Compiled 798 to 656 computations (17.8% saved)

simplify95.0ms (2%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4955	1237
1	4955	1237

prune119.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	106	2	108

Error

Counts

108 → 2

Compiler

Compiled 1435 to 624 computations (56.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 z (-.f64 x (+.f64 (*.f64 1/2 z) y)))
0.2b	(/.f64 4 (/.f64 z (-.f64 x (+.f64 (*.f64 1/2 z) y))))

rewrite287.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

138×	`times-frac_binary64_21226`
102×	`add-sqr-sqrt_binary64_21242` `*-un-lft-identity_binary64_21220`
70×	`add-cube-cbrt_binary64_21255`
26×	`associate-/r*_binary64_21164`
16×	`difference-of-squares_binary64_21189` `distribute-lft-out--_binary64_21172`
11×	`associate-/r/_binary64_21166`
9×	`add-exp-log_binary64_21258` `add-cbrt-cube_binary64_21256`
6×	`div-inv_binary64_21217` `associate-/l*_binary64_21165`
5×	`flip3--_binary64_21224` `flip--_binary64_21195`
4×	`div-exp_binary64_21271` `cbrt-undiv_binary64_21254`
2×	`pow1_binary64_21281` `add-log-exp_binary64_21259` `frac-2neg_binary64_21231` `clear-num_binary64_21219`

Counts

2 → 139

Calls

2 calls:

13.0ms	(/.f64 4 (/.f64 z (-.f64 x (+.f64 (*.f64 1/2 z) y))))
13.0ms	(/.f64 z (-.f64 x (+.f64 (*.f64 1/2 z) y)))

Compiler

Compiled 3480 to 2274 computations (34.7% saved)

series675.0ms (14%)

Error

Counts

2 → 51

Calls

2 calls:

350.0ms	(/.f64 z (-.f64 x (+.f64 (*.f64 1/2 z) y)))
244.0ms	(/.f64 4 (/.f64 z (-.f64 x (+.f64 (*.f64 1/2 z) y))))

Compiler

Compiled 2978 to 2252 computations (24.4% saved)

simplify165.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5114	5792

prune246.0ms (5.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	190	2	192

Error

Counts

192 → 2

Compiler

Compiled 4478 to 2623 computations (41.4% saved)

regimes272.0ms (5.6%)

Accuracy

Total 0.0b remaining (86.4%)

Threshold costs 0.0b (86.4%)

Compiler

Compiled 1454 to 1294 computations (11% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample1.2s (24.3%)

Algorithm

1×

intervals

Results

343.0ms	8000×	body	128	valid
49.0ms	949×	body	128	invalid

Compiler

Compiled 299 to 269 computations (10% saved)

Details

analyze632.0ms (13.1%)

sample38.0ms (0.8%)

simplify211.0ms (4.4%)

prune4.0ms (0.1%)

localize12.0ms (0.2%)

rewrite67.0ms (1.4%)

series280.0ms (5.8%)

simplify75.0ms (1.6%)

prune51.0ms (1.1%)

localize6.0ms (0.1%)

rewrite90.0ms (1.9%)

series308.0ms (6.4%)

simplify95.0ms (2%)

prune119.0ms (2.5%)

localize7.0ms (0.1%)

rewrite287.0ms (5.9%)

series675.0ms (14%)

simplify165.0ms (3.4%)

prune246.0ms (5.1%)

regimes272.0ms (5.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (24.3%)

Profiling