Details

analyze905.0ms (11.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
3.0ms	71×	body	128	invalid

Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify139.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	719	13
1	719	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

5.4b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.5b	(/.f64 (*.f64 y (-.f64 z t)) a)
0.0b	(*.f64 y (-.f64 z t))
0.0b	(*.f64 y (-.f64 z t))
6.5b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_12035`
10×	`*-un-lft-identity_binary64_12013`
9×	`add-cbrt-cube_binary64_12049` `add-exp-log_binary64_12051`
8×	`add-cube-cbrt_binary64_12048`
6×	`cancel-sign-sub-inv_binary64_11979`
5×	`associate-r_binary64_11953`
4×	`distribute-lft-in_binary64_11962` `pow1_binary64_12074` `distribute-rgt-in_binary64_11963` `associate-*r/_binary64_11955`
3×	`times-frac_binary64_12019` `associate-/r_binary64_11957` `associate-l*_binary64_11954`
2×	`add-log-exp_binary64_12052` `flip3--_binary64_12017` `div-exp_binary64_12064` `cbrt-undiv_binary64_12047` `flip--_binary64_11988` `cbrt-unprod_binary64_12046` `prod-exp_binary64_12062` `associate-/l/_binary64_11960` `sub-neg_binary64_12006`
1×	`-commutative_binary64_11944` `clear-num_binary64_12012` `unswap-sqr_binary64_11981` `div-inv_binary64_12010` `pow-prod-down_binary64_12084` `difference-of-squares_binary64_11982` `distribute-lft-out--_binary64_11965` `frac-2neg_binary64_12024` `associate-/l_binary64_11958`

Counts

2 → 53

Calls

4 calls:

14.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
7.0ms	(*.f64 y (-.f64 z t))
0.0ms	(*.f64 y (-.f64 z t))
0.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

series295.0ms (3.8%)

Counts

2 → 33

Calls

2 calls:

199.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
96.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 558 to 530 computations (5% saved)

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5376	836

prune76.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	78	8	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	8	87

Error

0.0b

Counts

87 → 8

Compiler

Compiled 1082 to 284 computations (73.8% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.7b	(/.f64 y (/.f64 a (-.f64 z t)))
0.0b	(/.f64 a (-.f64 z t))
0.0b	(/.f64 a (-.f64 z t))
5.7b	(/.f64 y (/.f64 a (-.f64 z t)))

rewrite33.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64_12019`
102×	`add-sqr-sqrt_binary64_12035` `*-un-lft-identity_binary64_12013`
70×	`add-cube-cbrt_binary64_12048`
26×	`associate-/r*_binary64_11957`
16×	`difference-of-squares_binary64_11982` `distribute-lft-out--_binary64_11965`
11×	`associate-/r/_binary64_11959`
9×	`add-cbrt-cube_binary64_12049` `add-exp-log_binary64_12051`
6×	`div-inv_binary64_12010` `associate-/l*_binary64_11958`
5×	`flip3--_binary64_12017` `flip--_binary64_11988`
4×	`div-exp_binary64_12064` `cbrt-undiv_binary64_12047`
2×	`add-log-exp_binary64_12052` `clear-num_binary64_12012` `pow1_binary64_12074` `frac-2neg_binary64_12024`

Counts

2 → 139

Calls

4 calls:

9.0ms	(/.f64 a (-.f64 z t))
9.0ms	(/.f64 y (/.f64 a (-.f64 z t)))
0.0ms	(/.f64 a (-.f64 z t))
0.0ms	(/.f64 y (/.f64 a (-.f64 z t)))

series300.0ms (3.9%)

Counts

2 → 36

Calls

2 calls:

203.0ms	(/.f64 y (/.f64 a (-.f64 z t)))
96.0ms	(/.f64 a (-.f64 z t))

Compiler

Compiled 699 to 632 computations (9.6% saved)

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4979	3257
1	4979	3257

prune135.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	173	2	175
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	177	6	183

Error

Counts

183 → 6

Compiler

Compiled 2991 to 630 computations (78.9% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

6.4b	(*.f64 (/.f64 y a) (-.f64 z t))
6.4b	(*.f64 (/.f64 y a) (-.f64 z t))

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_12035`
13×	`associate-l_binary64_11954` `*-un-lft-identity_binary64_12013`
11×	`add-cube-cbrt_binary64_12048`
10×	`times-frac_binary64_12019`
6×	`add-cbrt-cube_binary64_12049` `cancel-sign-sub-inv_binary64_11979` `add-exp-log_binary64_12051`
5×	`associate-r_binary64_11953`
4×	`distribute-lft-in_binary64_11962` `distribute-rgt-in_binary64_11963`
3×	`pow1_binary64_12074`
2×	`flip3--_binary64_12017` `unswap-sqr_binary64_11981` `flip--_binary64_11988` `cbrt-unprod_binary64_12046` `prod-exp_binary64_12062` `associate-*r/_binary64_11955` `frac-times_binary64_12023` `sub-neg_binary64_12006`
1×	`add-log-exp_binary64_12052` `-commutative_binary64_11944` `div-exp_binary64_12064` `div-inv_binary64_12010` `pow-prod-down_binary64_12084` `difference-of-squares_binary64_11982` `cbrt-undiv_binary64_12047` `associate-l/_binary64_11956` `distribute-lft-out--_binary64_11965`

Counts

1 → 46

Calls

2 calls:

10.0ms	(*.f64 (/.f64 y a) (-.f64 z t))
0.0ms	(*.f64 (/.f64 y a) (-.f64 z t))

series204.0ms (2.6%)

Counts

1 → 18

Calls

1 calls:

204.0ms

(*.f64 (/.f64 y a) (-.f64 z t))

Compiler

Compiled 324 to 302 computations (6.8% saved)

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4917	812
1	4917	812

prune41.0ms (0.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	64	6	70

Error

Counts

70 → 6

Compiler

Compiled 895 to 221 computations (75.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.5b	(/.f64 (/.f64 y a) (/.f64 1 (-.f64 z t)))
0.0b	(/.f64 1 (-.f64 z t))
0.0b	(/.f64 1 (-.f64 z t))
6.5b	(/.f64 (/.f64 y a) (/.f64 1 (-.f64 z t)))

rewrite77.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

696×	`times-frac_binary64_12019`
384×	`add-sqr-sqrt_binary64_12035` `*-un-lft-identity_binary64_12013`
292×	`add-cube-cbrt_binary64_12048`
46×	`difference-of-squares_binary64_11982` `distribute-lft-out--_binary64_11965`
38×	`div-inv_binary64_12010`
31×	`associate-/r/_binary64_11959`
28×	`add-exp-log_binary64_12051`
26×	`associate-/r*_binary64_11957`
18×	`div-exp_binary64_12064`
16×	`add-cbrt-cube_binary64_12049` `associate-/l*_binary64_11958`
15×	`flip3--_binary64_12017` `flip--_binary64_11988`
9×	`cbrt-undiv_binary64_12047`
3×	`rec-exp_binary64_12063` `pow1_binary64_12074` `1-exp_binary64_12057`
2×	`add-log-exp_binary64_12052` `clear-num_binary64_12012` `frac-2neg_binary64_12024`
1×	`pow-flip_binary64_12087` `inv-pow_binary64_12098` `associate-/l/_binary64_11960`

Counts

2 → 372

Calls

4 calls:

16.0ms	(/.f64 (/.f64 y a) (/.f64 1 (-.f64 z t)))
6.0ms	(/.f64 1 (-.f64 z t))
0.0ms	(/.f64 1 (-.f64 z t))
0.0ms	(/.f64 (/.f64 y a) (/.f64 1 (-.f64 z t)))

series259.0ms (3.4%)

Counts

2 → 33

Calls

2 calls:

209.0ms	(/.f64 (/.f64 y a) (/.f64 1 (-.f64 z t)))
50.0ms	(/.f64 1 (-.f64 z t))

Compiler

Compiled 633 to 587 computations (7.3% saved)

simplify151.0ms (2%)

Algorithm

1×	egg-herbie

Counts

405 → 405

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5040	10555

prune333.0ms (4.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	405	0	405
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	405	6	411

Error

Counts

411 → 6

Compiler

Compiled 8479 to 2252 computations (73.4% saved)

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	1428	548
1	1428	548

regimes751.0ms (9.8%)

Compiler: Compiled 3829 to 3375 computations (11.9% saved)

bsearch1.0ms (0%)

Compiler: Compiled 5 to 7 computations (-40% saved)

regimes455.0ms (5.9%)

Compiler: Compiled 1355 to 1665 computations (-22.9% saved)

bsearch1.0ms (0%)

Compiler: Compiled 5 to 7 computations (-40% saved)

regimes175.0ms (2.3%)

Compiler: Compiled 454 to 626 computations (-37.9% saved)

bsearch41.0ms (0.5%)

Steps

Iters	Range		Point
7	1.0806079609125804e+18	2.5200543505645347e+19	1.1952270046270372e+19
10	-6.097127303753613e-209	-9.84090674772896e-222	-5.99619315638841e-209

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes125.0ms (1.6%)

Compiler: Compiled 400 to 572 computations (-43% saved)

bsearch23.0ms (0.3%)

Steps

Iters	Range		Point
8	3.5142267197939814e-129	9.555794867099524e-127	3.6507557365593976e-129
2	-6.284957975295194e-266	-5.773060354381336e-266	-6.1849394410312154e-266

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes251.0ms (3.3%)

Compiler: Compiled 240 to 385 computations (-60.4% saved)

bsearch50.0ms (0.7%)

Steps

Iters	Range		Point
8	1.2550703866287642e+33	1.7915151013539865e+37	1.7310299406699418e+34
10	-4.6937072939413265e-20	-6.185643395879852e-31	-2.411194879961681e-30

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes227.0ms (3%)

Compiler: Compiled 200 to 340 computations (-70% saved)

bsearch42.0ms (0.5%)

Steps

Iters	Range		Point
6	276474241.5996766	2742217441.4132524	310521480.13783985
10	-0.0038476001261030517	-8.647801377024324e-16	-1.3974690196011175e-11

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes204.0ms (2.6%)

Compiler: Compiled 130 to 260 computations (-100% saved)

bsearch47.0ms (0.6%)

Steps

Iters	Range		Point
9	5.8335483633232825e-34	2.5136143475488486e-28	7.79318032946435e-29
9	-0.033343341570790413	-1.1259390296397782e-07	-7.6535095131506e-07

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes177.0ms (2.3%)

Compiler: Compiled 95 to 220 computations (-131.6% saved)

bsearch55.0ms (0.7%)

Steps

Iters	Range		Point
10	2.1576630182481198e-10	276474241.5996766	3.5605138200386217e-10
10	-0.0038476001261030517	-8.647801377024324e-16	-5.56878669144151e-14

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes56.0ms (0.7%)

Compiler: Compiled 60 to 180 computations (-200% saved)

bsearch0.0ms (0%)

regimes46.0ms (0.6%)

Compiler: Compiled 25 to 140 computations (-460% saved)

bsearch0.0ms (0%)

regimes43.0ms (0.6%)

Accuracy

Total 1.1b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 20 to 110 computations (-450% saved)

bsearch11.0ms (0.1%)

Compiler: Compiled 282 to 169 computations (40.1% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	482	356
1	482	356

end0.0ms (0%)

sample1.6s (21%)

Algorithm

1×

intervals

Results

295.0ms	8000×	body	128	valid
96.0ms	2467×	body	128	invalid

Compiler

Compiled 656 to 527 computations (19.7% saved)

Pareto

0.5887188174808428

Details

analyze905.0ms (11.7%)

sample26.0ms (0.3%)

simplify139.0ms (1.8%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite25.0ms (0.3%)

series295.0ms (3.8%)

simplify55.0ms (0.7%)

prune76.0ms (1%)

localize7.0ms (0.1%)

rewrite33.0ms (0.4%)

series300.0ms (3.9%)

simplify76.0ms (1%)

prune135.0ms (1.8%)

localize9.0ms (0.1%)

rewrite14.0ms (0.2%)

series204.0ms (2.6%)

simplify61.0ms (0.8%)

prune41.0ms (0.5%)

localize9.0ms (0.1%)

rewrite77.0ms (1%)

series259.0ms (3.4%)

simplify151.0ms (2%)

prune333.0ms (4.3%)

simplify49.0ms (0.6%)

regimes751.0ms (9.8%)

bsearch1.0ms (0%)

regimes455.0ms (5.9%)

bsearch1.0ms (0%)

regimes175.0ms (2.3%)

bsearch41.0ms (0.5%)

regimes125.0ms (1.6%)

bsearch23.0ms (0.3%)

regimes251.0ms (3.3%)

bsearch50.0ms (0.7%)

regimes227.0ms (3%)

bsearch42.0ms (0.5%)

regimes204.0ms (2.6%)

bsearch47.0ms (0.6%)

regimes177.0ms (2.3%)

bsearch55.0ms (0.7%)

regimes56.0ms (0.7%)

bsearch0.0ms (0%)

regimes46.0ms (0.6%)

bsearch0.0ms (0%)

regimes43.0ms (0.6%)

bsearch11.0ms (0.1%)

simplify15.0ms (0.2%)

end0.0ms (0%)

sample1.6s (21%)

Profiling