Details

analyze384.0ms (5.9%)

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
23.8%	74.5%	1.7%	9
40%	56.4%	3.7%	10
46.9%	48.7%	4.4%	11
48%	45.8%	6.2%	12
58.1%	32.2%	9.7%	13
62.1%	27.2%	10.6%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	31×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify471.0ms (7.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (369.0ms)

Iter	Nodes	Cost
0	5152	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

11.4b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

10.6b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
0.0b	(*.f64 x (+.f64 (-.f64 y z) 1))
0.0b	(*.f64 x (+.f64 (-.f64 y z) 1))
10.6b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_19174`
9×	`add-cbrt-cube_binary64_19210` `add-exp-log_binary64_19212`
8×	`add-sqr-sqrt_binary64_19196`
6×	`add-cube-cbrt_binary64_19209`
5×	`associate-r_binary64_19114`
4×	`associate-*r/_binary64_19116` `pow1_binary64_19235`
3×	`associate-/r_binary64_19118` `times-frac_binary64_19180` `associate-l*_binary64_19115`
2×	`prod-exp_binary64_19223` `associate-/l/_binary64_19121` `add-log-exp_binary64_19213` `cbrt-unprod_binary64_19207` `distribute-lft-out_binary64_19125` `flip3-+_binary64_19177` `div-exp_binary64_19225` `flip-+_binary64_19148` `cbrt-undiv_binary64_19208`
1×	`distribute-lft-in_binary64_19123` `frac-2neg_binary64_19185` `div-inv_binary64_19171` `associate-/l_binary64_19119` `-commutative_binary64_19105` `pow-prod-down_binary64_19245` `distribute-lft-out--_binary64_19126` `clear-num_binary64_19173` `unswap-sqr_binary64_19142` `distribute-rgt-in_binary64_19124`

Counts

2 → 47

Calls

4 calls:

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

series275.0ms (4.3%)

Counts

2 → 30

Calls

2 calls:

170.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
105.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))

Compiler

Compiled 440 to 360 computations (18.2% saved)

simplify55.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5150	929

prune78.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	73	4	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	5	78

Error

Counts

78 → 5

Compiler

Compiled 950 to 438 computations (53.9% saved)

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

2.1b	(*.f64 (/.f64 x z) y)
0.0b	(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
0.0b	(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
0.0b	(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
0.0b	(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
2.1b	(*.f64 (/.f64 x z) y)

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_19196`
14×	`*-un-lft-identity_binary64_19174`
13×	`associate-l_binary64_19115`
12×	`add-cube-cbrt_binary64_19209`
10×	`add-log-exp_binary64_19213` `times-frac_binary64_19180`
8×	`add-cbrt-cube_binary64_19210` `add-exp-log_binary64_19212`
5×	`pow1_binary64_19235`
3×	`associate-r_binary64_19114` `cancel-sign-sub-inv_binary64_19140`
2×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `diff-log_binary64_19266` `associate-*l/_binary64_19117` `unswap-sqr_binary64_19142` `sum-log_binary64_19265`
1×	`+-commutative_binary64_19104` `div-inv_binary64_19171` `*-commutative_binary64_19105` `flip--_binary64_19149` `flip3--_binary64_19178` `frac-add_binary64_19182` `pow-prod-down_binary64_19245` `flip3-+_binary64_19177` `difference-of-squares_binary64_19143` `div-exp_binary64_19225` `distribute-lft-out--_binary64_19126` `associate--l+_binary64_19111` `flip-+_binary64_19148` `sub-neg_binary64_19167` `cbrt-undiv_binary64_19208`

Counts

3 → 62

Calls

6 calls:

10.0ms	(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
7.0ms	(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
7.0ms	(*.f64 (/.f64 x z) y)
0.0ms	(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
0.0ms	(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))

series405.0ms (6.3%)

Counts

3 → 36

Calls

3 calls:

169.0ms	(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
138.0ms	(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
98.0ms	(*.f64 (/.f64 x z) y)

Compiler

Compiled 633 to 496 computations (21.6% saved)

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4979	1145
1	4979	1145

prune65.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Error

Counts

103 → 5

Compiler

Compiled 1362 to 469 computations (65.6% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.2b	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1) z))
0.0b	(/.f64 (+.f64 (-.f64 y z) 1) z)
0.0b	(/.f64 (+.f64 (-.f64 y z) 1) z)
3.2b	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1) z))

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`*-un-lft-identity_binary64_19174`
31×	`times-frac_binary64_19180`
27×	`add-sqr-sqrt_binary64_19196`
22×	`add-cube-cbrt_binary64_19209`
19×	`associate-r_binary64_19114`
14×	`distribute-lft-out_binary64_19125`
9×	`add-cbrt-cube_binary64_19210` `add-exp-log_binary64_19212`
7×	`distribute-lft-out--_binary64_19126`
5×	`associate-/l*_binary64_19119`
4×	`pow1_binary64_19235`
3×	`associate-/r_binary64_19118` `associate-l*_binary64_19115`
2×	`prod-exp_binary64_19223` `associate-/l/_binary64_19121` `div-inv_binary64_19171` `add-log-exp_binary64_19213` `cbrt-unprod_binary64_19207` `div-exp_binary64_19225` `unswap-sqr_binary64_19142` `cbrt-undiv_binary64_19208`
1×	`frac-2neg_binary64_19185` `associate-r/_binary64_19116` `-commutative_binary64_19105` `associate-+l-_binary64_19109` `pow-prod-down_binary64_19245` `flip3-+_binary64_19177` `clear-num_binary64_19173` `flip-+_binary64_19148` `div-sub_binary64_19179`

Counts

2 → 76

Calls

4 calls:

13.0ms	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1) z))
9.0ms	(/.f64 (+.f64 (-.f64 y z) 1) z)
0.0ms	(/.f64 (+.f64 (-.f64 y z) 1) z)
0.0ms	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1) z))

series262.0ms (4%)

Counts

2 → 27

Calls

2 calls:

174.0ms	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1) z))
87.0ms	(/.f64 (+.f64 (-.f64 y z) 1) z)

Compiler

Compiled 378 to 332 computations (12.2% saved)

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4973	1439
1	4973	1439

prune74.0ms (1.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	103	5	108

Error

Counts

108 → 5

Compiler

Compiled 1428 to 699 computations (51.1% saved)

localize11.0ms (0.2%)

Local error

Found 8 expressions with local error:

7.1b	(.f64 x (-.f64 (.f64 (-.f64 y z) (-.f64 y z)) (*.f64 1 1)))
0.0b	(*.f64 z (-.f64 (-.f64 y z) 1))
0.0b	(*.f64 (-.f64 y z) (-.f64 y z))
0.0b	(-.f64 (.f64 (-.f64 y z) (-.f64 y z)) (.f64 1 1))
0.0b	(*.f64 (-.f64 y z) (-.f64 y z))
0.0b	(*.f64 z (-.f64 (-.f64 y z) 1))
7.1b	(.f64 x (-.f64 (.f64 (-.f64 y z) (-.f64 y z)) (*.f64 1 1)))
27.6b	(/.f64 (.f64 x (-.f64 (.f64 (-.f64 y z) (-.f64 y z)) (.f64 1 1))) (.f64 z (-.f64 (-.f64 y z) 1)))

rewrite84.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64_19174`
40×	`add-sqr-sqrt_binary64_19196`
32×	`cancel-sign-sub-inv_binary64_19140`
30×	`distribute-lft-in_binary64_19123` `distribute-rgt-in_binary64_19124`
24×	`associate--l+_binary64_19111`
22×	`add-cbrt-cube_binary64_19210` `add-exp-log_binary64_19212` `add-cube-cbrt_binary64_19209`
17×	`associate-r_binary64_19114`
15×	`pow1_binary64_19235`
12×	`sub-neg_binary64_19167`
11×	`associate-l_binary64_19115`
10×	`associate-*r/_binary64_19116` `flip--_binary64_19149` `flip3--_binary64_19178`
9×	`distribute-lft-out--_binary64_19126`
7×	`prod-exp_binary64_19223` `swap-sqr_binary64_19141` `cbrt-unprod_binary64_19207` `difference-of-squares_binary64_19143`
4×	`add-log-exp_binary64_19213` `frac-times_binary64_19184` `div-exp_binary64_19225` `cbrt-undiv_binary64_19208`
3×	`*-commutative_binary64_19105` `pow-prod-down_binary64_19245` `unswap-sqr_binary64_19142`
2×	`associate-/l/_binary64_19121` `associate-/r/_binary64_19120` `associate-*l/_binary64_19117`
1×	`frac-2neg_binary64_19185` `div-inv_binary64_19171` `pow-sqr_binary64_19147` `associate-/l_binary64_19119` `pow2_binary64_19255` `associate-/r_binary64_19118` `clear-num_binary64_19173` `times-frac_binary64_19180` `pow-prod-up_binary64_19244` `pow-plus_binary64_19237` `difference-of-sqr-1_binary64_19144`

Counts

4 → 156

Calls

8 calls:

23.0ms	(/.f64 (.f64 x (-.f64 (.f64 (-.f64 y z) (-.f64 y z)) (.f64 1 1))) (.f64 z (-.f64 (-.f64 y z) 1)))
16.0ms	(.f64 x (-.f64 (.f64 (-.f64 y z) (-.f64 y z)) (*.f64 1 1)))
13.0ms	(*.f64 z (-.f64 (-.f64 y z) 1))
11.0ms	(*.f64 (-.f64 y z) (-.f64 y z))
0.0ms	(-.f64 (.f64 (-.f64 y z) (-.f64 y z)) (.f64 1 1))

series922.0ms (14.2%)

Counts

4 → 66

Calls

4 calls:

429.0ms	(/.f64 (.f64 x (-.f64 (.f64 (-.f64 y z) (-.f64 y z)) (.f64 1 1))) (.f64 z (-.f64 (-.f64 y z) 1)))
300.0ms	(.f64 x (-.f64 (.f64 (-.f64 y z) (-.f64 y z)) (*.f64 1 1)))
100.0ms	(*.f64 (-.f64 y z) (-.f64 y z))
93.0ms	(*.f64 z (-.f64 (-.f64 y z) 1))

Compiler

Compiled 2248 to 1726 computations (23.2% saved)

simplify100.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5115	3368

prune215.0ms (3.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	221	1	222
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	222	5	227

Error

Counts

227 → 5

Compiler

Compiled 5101 to 2349 computations (54% saved)

simplify40.0ms (0.6%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	1369	509
1	1369	509

regimes145.0ms (2.2%)

Compiler: Compiled 1050 to 876 computations (16.6% saved)

bsearch0.0ms (0%)

regimes122.0ms (1.9%)

Compiler: Compiled 288 to 318 computations (-10.4% saved)

bsearch29.0ms (0.4%)

Steps

Iters	Range		Point
7	1900496.3573007286	174044240.35950884	2033294.3313340866
8	-3.996115098967217e-05	-1.8146104387814557e-09	-2.025964934226397e-05

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes117.0ms (1.8%)

Compiler: Compiled 261 to 294 computations (-12.6% saved)

bsearch31.0ms (0.5%)

Steps

Iters	Range		Point
7	1900496.3573007286	174044240.35950884	6756302.354297653
9	-1.9478150096710774e-13	-7.054708869697248e-20	-4.7891591680294165e-14

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes123.0ms (1.9%)

Compiler: Compiled 234 to 270 computations (-15.4% saved)

bsearch33.0ms (0.5%)

Steps

Iters	Range		Point
9	174044240.35950884	13674661283181078.0	14597444746214.799
9	-4.942650123945487e+65	-4.439596180048739e+59	-4.8064786163120255e+60

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes177.0ms (2.7%)

Compiler: Compiled 207 to 249 computations (-20.3% saved)

bsearch37.0ms (0.6%)

Steps

Iters	Range		Point
9	1.033727899048585e-08	0.5953348852832063	0.5827356549752174
10	-88591017432.01973	-17.13076188245476	-17.382468885251733

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes134.0ms (2.1%)

Compiler: Compiled 186 to 231 computations (-24.2% saved)

bsearch33.0ms (0.5%)

Steps

Iters	Range		Point
11	2.522894271763938e-33	1.3308632057961845e-09	8.354933333947367e-10
7	-1.1346187888834752e+77	-5.639216402747563e+75	-2.5710013950639173e+76

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes117.0ms (1.8%)

Compiler: Compiled 123 to 168 computations (-36.6% saved)

bsearch35.0ms (0.5%)

Steps

Iters	Range		Point
11	2.522894271763938e-33	1.3308632057961845e-09	2.2224369997613503e-10
9	-5.639216402747563e+75	-4.530227283477389e+70	-4.575836686361241e+70

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes124.0ms (1.9%)

Compiler: Compiled 102 to 150 computations (-47.1% saved)

bsearch35.0ms (0.5%)

Steps

Iters	Range		Point
10	0.5953348852832063	46550127278.22801	3877231641.368535
7	-9.350175573860221e+24	-2.1642766327328084e+23	-2.1834251543746128e+24

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes92.0ms (1.4%)

Compiler: Compiled 51 to 96 computations (-88.2% saved)

bsearch29.0ms (0.4%)

Steps

Iters	Range		Point
9	3.028982372034107	1900496.3573007286	193563.38636236975
7	-1.1346187888834752e+77	-5.639216402747563e+75	-5.7014279737727145e+75

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes82.0ms (1.3%)

Compiler: Compiled 36 to 81 computations (-125% saved)

bsearch30.0ms (0.5%)

Steps

Iters	Range		Point
9	3.028982372034107	1900496.3573007286	1880735.2428012835
9	-5.639216402747563e+75	-4.530227283477389e+70	-4.575836686361241e+70

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes29.0ms (0.5%)

Compiler: Compiled 21 to 66 computations (-214.3% saved)

bsearch0.0ms (0%)

regimes26.0ms (0.4%)

Accuracy

Total 0.1b remaining (98.4%)

Threshold costs 0.1b (98.4%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch10.0ms (0.2%)

Compiler: Compiled 241 to 153 computations (36.5% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	130	305
1	130	305

end0.0ms (0%)

sample1.2s (18.2%)

Algorithm

1×

intervals

Results

245.0ms	8000×	body	128	valid
38.0ms	1066×	body	128	invalid

Compiler

Compiled 602 to 475 computations (21.1% saved)

Pareto

0.5561836951848323

Details

analyze384.0ms (5.9%)

sample18.0ms (0.3%)

simplify471.0ms (7.3%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite24.0ms (0.4%)

series275.0ms (4.3%)

simplify55.0ms (0.9%)

prune78.0ms (1.2%)

localize6.0ms (0.1%)

rewrite28.0ms (0.4%)

series405.0ms (6.3%)

simplify72.0ms (1.1%)

prune65.0ms (1%)

localize6.0ms (0.1%)

rewrite28.0ms (0.4%)

series262.0ms (4%)

simplify69.0ms (1.1%)

prune74.0ms (1.1%)

localize11.0ms (0.2%)

rewrite84.0ms (1.3%)

series922.0ms (14.2%)

simplify100.0ms (1.5%)

prune215.0ms (3.3%)

simplify40.0ms (0.6%)

regimes145.0ms (2.2%)

bsearch0.0ms (0%)

regimes122.0ms (1.9%)

bsearch29.0ms (0.4%)

regimes117.0ms (1.8%)

bsearch31.0ms (0.5%)

regimes123.0ms (1.9%)

bsearch33.0ms (0.5%)

regimes177.0ms (2.7%)

bsearch37.0ms (0.6%)

regimes134.0ms (2.1%)

bsearch33.0ms (0.5%)

regimes117.0ms (1.8%)

bsearch35.0ms (0.5%)

regimes124.0ms (1.9%)

bsearch35.0ms (0.5%)

regimes92.0ms (1.4%)

bsearch29.0ms (0.4%)

regimes82.0ms (1.3%)

bsearch30.0ms (0.5%)

regimes29.0ms (0.5%)

bsearch0.0ms (0%)

regimes26.0ms (0.4%)

bsearch10.0ms (0.2%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.2s (18.2%)

Profiling