Details

analyze226.0ms (3.9%)

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
12.5%	87.4%	0.1%	4
12.5%	87.4%	0.1%	5
15.6%	84.3%	0.1%	6
32.8%	67.1%	0.1%	7
38.2%	61.6%	0.1%	8
46%	53.8%	0.1%	9
62.6%	37.3%	0.1%	10
67.2%	32.7%	0.1%	11
71.1%	28.8%	0.1%	12
81.6%	18.2%	0.1%	13
84.1%	15.7%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify282.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (178.0ms)

Iter	Nodes	Cost
0	3019	13
1	3019	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

6.4b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

6.4b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
6.4b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`add-sqr-sqrt_binary64_12035`
53×	`*-un-lft-identity_binary64_12013`
42×	`times-frac_binary64_12019`
20×	`difference-of-squares_binary64_11982`
15×	`add-cube-cbrt_binary64_12048`
9×	`distribute-lft-out_binary64_11964`
8×	`associate-/r*_binary64_11957`
5×	`distribute-lft-out--_binary64_11965`
4×	`associate-/l*_binary64_11958`
3×	`add-cbrt-cube_binary64_12049` `add-exp-log_binary64_12051`
2×	`associate-/r/_binary64_11959` `associate-/l/_binary64_11960`
1×	`flip3-+_binary64_12016` `add-log-exp_binary64_12052` `clear-num_binary64_12012` `flip3--_binary64_12017` `div-exp_binary64_12064` `div-inv_binary64_12010` `flip-+_binary64_11987` `pow1_binary64_12074` `cbrt-undiv_binary64_12047` `flip--_binary64_11988` `frac-2neg_binary64_12024`

Counts

1 → 60

Calls

2 calls:

13.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
0.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

series191.0ms (3.3%)

Counts

1 → 23

Calls

1 calls:

190.0ms

(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

Compiler

Compiled 581 to 448 computations (22.9% saved)

simplify75.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5383	1942

prune100.0ms (1.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	78	5	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	5	84

Error

0.0b

Counts

84 → 5

Compiler

Compiled 1558 to 603 computations (61.3% saved)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

6.3b	(/.f64 y (-.f64 1 (/.f64 y z)))
1.2b	(/.f64 x (-.f64 1 (/.f64 y z)))
0.0b	(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))
0.0b	(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))
1.2b	(/.f64 x (-.f64 1 (/.f64 y z)))
6.3b	(/.f64 y (-.f64 1 (/.f64 y z)))

rewrite89.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

111×	`add-sqr-sqrt_binary64_12035`
99×	`*-un-lft-identity_binary64_12013`
88×	`times-frac_binary64_12019`
40×	`difference-of-squares_binary64_11982`
31×	`add-cube-cbrt_binary64_12048`
16×	`associate-/r*_binary64_11957`
12×	`distribute-lft-out--_binary64_11965`
11×	`distribute-lft-out_binary64_11964`
8×	`associate-/r/_binary64_11959`
7×	`add-cbrt-cube_binary64_12049` `add-exp-log_binary64_12051`
6×	`associate-/l*_binary64_11958`
5×	`add-log-exp_binary64_12052`
4×	`flip3--_binary64_12017` `div-inv_binary64_12010` `flip--_binary64_11988`
3×	`distribute-rgt-out_binary64_11966` `pow1_binary64_12074`
2×	`clear-num_binary64_12012` `div-exp_binary64_12064` `cbrt-undiv_binary64_12047` `frac-2neg_binary64_12024`
1×	`+-commutative_binary64_11943` `sum-log_binary64_12104` `frac-add_binary64_12021` `flip3-+_binary64_12016` `flip-+_binary64_11987`

Counts

3 → 124

Calls

6 calls:

56.0ms	(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))
10.0ms	(/.f64 y (-.f64 1 (/.f64 y z)))
10.0ms	(/.f64 x (-.f64 1 (/.f64 y z)))
0.0ms	(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))
0.0ms	(/.f64 x (-.f64 1 (/.f64 y z)))

series482.0ms (8.4%)

Counts

3 → 56

Calls

3 calls:

259.0ms	(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))
144.0ms	(/.f64 x (-.f64 1 (/.f64 y z)))
79.0ms	(/.f64 y (-.f64 1 (/.f64 y z)))

Compiler

Compiled 1559 to 1202 computations (22.9% saved)

simplify104.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5449	3540

prune170.0ms (3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	180	5	185

Error

0.0b

Counts

185 → 5

Compiler

Compiled 3933 to 1750 computations (55.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.4b	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))
0.2b	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
0.2b	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
6.4b	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

rewrite74.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

316×	`times-frac_binary64_12019`
275×	`add-sqr-sqrt_binary64_12035`
273×	`*-un-lft-identity_binary64_12013`
107×	`add-cube-cbrt_binary64_12048`
84×	`difference-of-squares_binary64_11982`
42×	`associate-/r*_binary64_11957`
41×	`distribute-lft-out_binary64_11964`
21×	`distribute-lft-out--_binary64_11965`
15×	`add-exp-log_binary64_12051`
11×	`associate-/r/_binary64_11959` `associate-/l*_binary64_11958`
9×	`add-cbrt-cube_binary64_12049`
8×	`div-exp_binary64_12064`
6×	`div-inv_binary64_12010`
5×	`flip3-+_binary64_12016` `flip-+_binary64_11987`
4×	`cbrt-undiv_binary64_12047`
3×	`pow1_binary64_12074`
2×	`rec-exp_binary64_12063` `add-log-exp_binary64_12052` `clear-num_binary64_12012` `frac-2neg_binary64_12024` `associate-/l/_binary64_11960` `1-exp_binary64_12057`
1×	`div-sub_binary64_12018` `pow-flip_binary64_12087` `flip3--_binary64_12017` `inv-pow_binary64_12098` `flip--_binary64_11988`

Counts

2 → 237

Calls

4 calls:

24.0ms	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
14.0ms	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))
0.0ms	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
0.0ms	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

series366.0ms (6.4%)

Counts

2 → 44

Calls

2 calls:

194.0ms	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
172.0ms	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

Compiler

Compiled 1237 to 974 computations (21.3% saved)

simplify125.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

281 → 281

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4986	7340
1	4986	7340

prune273.0ms (4.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	280	1	281
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	282	4	286

Error

0.0b

Counts

286 → 4

Compiler

Compiled 5843 to 2532 computations (56.7% saved)

localize9.0ms (0.2%)

Local error

Found 6 expressions with local error:

6.4b	(*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x)))
0.2b	(/.f64 1 (*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x))))
0.0b	(/.f64 1 (+.f64 y x))
0.0b	(/.f64 1 (+.f64 y x))
0.2b	(/.f64 1 (*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x))))
6.4b	(*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x)))

rewrite59.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-exp-log_binary64_12051`
42×	`*-un-lft-identity_binary64_12013`
38×	`add-sqr-sqrt_binary64_12035`
31×	`times-frac_binary64_12019`
23×	`add-cube-cbrt_binary64_12048`
20×	`div-exp_binary64_12064`
19×	`add-cbrt-cube_binary64_12049`
18×	`associate-r_binary64_11953`
16×	`prod-exp_binary64_12062`
10×	`associate-/r/_binary64_11959` `rec-exp_binary64_12063` `1-exp_binary64_12057`
9×	`pow1_binary64_12074`
8×	`associate-l_binary64_11954`
7×	`distribute-lft-out_binary64_11964`
6×	`cbrt-undiv_binary64_12047` `associate-/l*_binary64_11958`
5×	`associate-/r*_binary64_11957`
4×	`flip3--_binary64_12017` `difference-of-squares_binary64_11982` `associate-*l/_binary64_11956` `flip--_binary64_11988` `cbrt-unprod_binary64_12046` `frac-times_binary64_12023`
3×	`add-log-exp_binary64_12052` `pow-flip_binary64_12087` `unswap-sqr_binary64_11981` `div-inv_binary64_12010`
2×	`un-div-inv_binary64_12011` `flip3-+_binary64_12016` `clear-num_binary64_12012` `pow-prod-down_binary64_12084` `flip-+_binary64_11987` `inv-pow_binary64_12098` `frac-2neg_binary64_12024` `associate-*r/_binary64_11955`
1×	`*-commutative_binary64_11944` `distribute-lft-out--_binary64_11965`

Counts

3 → 131

Calls

6 calls:

23.0ms	(*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x)))
17.0ms	(/.f64 1 (*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x))))
7.0ms	(/.f64 1 (+.f64 y x))
0.0ms	(/.f64 1 (+.f64 y x))
0.0ms	(/.f64 1 (*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x))))

series400.0ms (7%)

Counts

3 → 56

Calls

3 calls:

187.0ms	(/.f64 1 (*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x))))
167.0ms	(*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x)))
46.0ms	(/.f64 1 (+.f64 y x))

Compiler

Compiled 1555 to 1256 computations (19.2% saved)

simplify81.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5006	2890

prune146.0ms (2.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	187	0	187
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	187	4	191

Error

0.0b

Counts

191 → 4

Compiler

Compiled 3034 to 1488 computations (51% saved)

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	336	804
1	336	804

regimes590.0ms (10.3%)

Compiler: Compiled 2183 to 1666 computations (23.7% saved)

bsearch2.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

regimes179.0ms (3.1%)

Compiler: Compiled 147 to 198 computations (-34.7% saved)

bsearch67.0ms (1.2%)

Steps

Iters	Range		Point
9	5.4100461032050636e+20	2.986353229812346e+28	8.025233456175185e+20
5	1.5692217785985127e-72	4.329047459822665e-72	3.3034857445990075e-72
4	1.5924494209082377e-118	3.135192202950861e-118	1.6830616281677957e-118
8	3.4619583855091836e-164	1.4383985968105957e-161	1.1838034291801365e-161
8	-1.8709352711680936e-230	-1.0088904578127685e-234	-6.773913547581241e-233
3	-7.111713058375421e+24	-5.67315228043989e+24	-5.763062329060862e+24

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes93.0ms (1.6%)

Compiler: Compiled 54 to 108 computations (-100% saved)

bsearch21.0ms (0.4%)

Steps

Iters	Range		Point
9	5.4100461032050636e+20	2.986353229812346e+28	4.7945480054321624e+23
3	-7.111713058375421e+24	-5.67315228043989e+24	-6.84198291251251e+24

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes80.0ms (1.4%)

Compiler: Compiled 33 to 87 computations (-163.6% saved)

bsearch24.0ms (0.4%)

Steps

Iters	Range		Point
7	3.2692615394683736e+114	2.801603748691289e+116	9.679364348904078e+114
8	-2.2873360574380547e+100	-8.047858442127035e+97	-8.180434561156343e+98

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes73.0ms (1.3%)

Compiler: Compiled 24 to 75 computations (-212.5% saved)

bsearch26.0ms (0.5%)

Steps

Iters	Range		Point
9	5.4100461032050636e+20	2.986353229812346e+28	2.5204102414744295e+25
8	-5.886254893818665e+28	-7.111713058375421e+24	-2.2705230329553015e+25

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes29.0ms (0.5%)

Compiler: Compiled 18 to 63 computations (-250% saved)

bsearch0.0ms (0%)

regimes28.0ms (0.5%)

Compiler: Compiled 15 to 54 computations (-260% saved)

bsearch0.0ms (0%)

regimes25.0ms (0.4%)

Accuracy

Total 0.5b remaining (99.4%)

Threshold costs 0.5b (99.4%)

Compiler

Compiled 12 to 42 computations (-250% saved)

bsearch8.0ms (0.1%)

Compiler: Compiled 167 to 116 computations (30.5% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	107	220
1	107	220

end0.0ms (0%)

sample1.2s (20.1%)

Algorithm

1×

intervals

Results

247.0ms	7999×	body	128	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 710 to 532 computations (25.1% saved)

Pareto

0.5070274984118585

Details

analyze226.0ms (3.9%)

sample16.0ms (0.3%)

simplify282.0ms (4.9%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite19.0ms (0.3%)

series191.0ms (3.3%)

simplify75.0ms (1.3%)

prune100.0ms (1.7%)

localize8.0ms (0.1%)

rewrite89.0ms (1.6%)

series482.0ms (8.4%)

simplify104.0ms (1.8%)

prune170.0ms (3%)

localize8.0ms (0.1%)

rewrite74.0ms (1.3%)

series366.0ms (6.4%)

simplify125.0ms (2.2%)

prune273.0ms (4.8%)

localize9.0ms (0.2%)

rewrite59.0ms (1%)

series400.0ms (7%)

simplify81.0ms (1.4%)

prune146.0ms (2.6%)

simplify20.0ms (0.3%)

regimes590.0ms (10.3%)

bsearch2.0ms (0%)

regimes179.0ms (3.1%)

bsearch67.0ms (1.2%)

regimes93.0ms (1.6%)

bsearch21.0ms (0.4%)

regimes80.0ms (1.4%)

bsearch24.0ms (0.4%)

regimes73.0ms (1.3%)

bsearch26.0ms (0.5%)

regimes29.0ms (0.5%)

bsearch0.0ms (0%)

regimes28.0ms (0.5%)

bsearch0.0ms (0%)

regimes25.0ms (0.4%)

bsearch8.0ms (0.1%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.2s (20.1%)

Profiling