Details

analyze929.0ms (8.3%)

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
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.6%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample24.0ms (0.2%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	25×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify383.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (282.0ms)

Iter	Nodes	Cost
0	5693	16

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

12.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

12.9b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
0.0b	(*.f64 y (-.f64 z t))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
0.0b	(*.f64 y (-.f64 z t))
12.9b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_10649` `add-sqr-sqrt_binary64_10671`
10×	`add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687`
9×	`add-cube-cbrt_binary64_10684`
6×	`cancel-sign-sub-inv_binary64_10615`
5×	`associate-/r_binary64_10593` `add-log-exp_binary64_10688` `pow1_binary64_10710` `times-frac_binary64_10655` `associate-r*_binary64_10589`
4×	`distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598` `associate-*r/_binary64_10591`
3×	`difference-of-squares_binary64_10618` `distribute-lft-out--_binary64_10601` `flip3--_binary64_10653` `flip--_binary64_10624` `associate-l_binary64_10590`
2×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `sub-neg_binary64_10642` `associate-/r/_binary64_10595` `div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `associate-/l/_binary64_10596`
1×	`sum-log_binary64_10740` `pow-prod-down_binary64_10720` `clear-num_binary64_10648` `associate-/l_binary64_10594` `unswap-sqr_binary64_10617` `+-commutative_binary64_10579` `-commutative_binary64_10580` `frac-2neg_binary64_10660` `flip-+_binary64_10623` `div-inv_binary64_10646` `flip3-+_binary64_10652` `distribute-lft-out_binary64_10600`

Counts

3 → 71

Calls

6 calls:

17.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
9.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
8.0ms	(*.f64 y (-.f64 z t))
0.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
0.0ms	(*.f64 y (-.f64 z t))

series1.0s (9.3%)

Counts

3 → 74

Calls

3 calls:

499.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
445.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
96.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 2066 to 1574 computations (23.8% saved)

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5307	2272

prune123.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	142	4	146

Error

Counts

146 → 4

Compiler

Compiled 2208 to 436 computations (80.3% saved)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

2.5b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
2.5b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite85.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_10655`
197×	`*-un-lft-identity_binary64_10649`
195×	`add-sqr-sqrt_binary64_10671`
91×	`add-cube-cbrt_binary64_10684`
52×	`difference-of-squares_binary64_10618` `distribute-lft-out--_binary64_10601`
36×	`associate-/r*_binary64_10593`
11×	`associate-/r/_binary64_10595`
10×	`add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687`
8×	`associate-/l*_binary64_10594`
6×	`div-inv_binary64_10646` `flip3--_binary64_10653` `flip--_binary64_10624`
5×	`add-log-exp_binary64_10688`
4×	`div-exp_binary64_10700` `cbrt-undiv_binary64_10683`
3×	`pow1_binary64_10710`
2×	`clear-num_binary64_10648` `frac-2neg_binary64_10660` `associate-/l/_binary64_10596`
1×	`sum-log_binary64_10740` `div-sub_binary64_10654` `+-commutative_binary64_10579` `flip-+_binary64_10623` `flip3-+_binary64_10652` `distribute-lft-out_binary64_10600`

Counts

3 → 206

Calls

6 calls:

36.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
14.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
10.0ms	(/.f64 (-.f64 a t) (-.f64 z t))
0.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
0.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

series906.0ms (8.1%)

Counts

3 → 85

Calls

3 calls:

448.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
272.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
185.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

Compiler

Compiled 2568 to 1947 computations (24.2% saved)

simplify101.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

291 → 291

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5087	7099

prune215.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	291	0	291
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	291	4	295

Error

Counts

295 → 4

Compiler

Compiled 5956 to 1002 computations (83.2% saved)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

2.9b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
2.9b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_10671`
71×	`*-un-lft-identity_binary64_10649`
51×	`times-frac_binary64_10655`
31×	`associate-r_binary64_10589`
27×	`add-cube-cbrt_binary64_10684`
22×	`difference-of-squares_binary64_10618` `distribute-lft-out--_binary64_10601`
10×	`add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687`
5×	`associate-/r_binary64_10593` `add-log-exp_binary64_10688` `pow1_binary64_10710` `associate-/l_binary64_10594`
4×	`associate-/r/_binary64_10595`
3×	`flip3--_binary64_10653` `flip--_binary64_10624` `associate-l_binary64_10590`
2×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `unswap-sqr_binary64_10617` `div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `div-inv_binary64_10646` `associate-/l/_binary64_10596`
1×	`sum-log_binary64_10740` `pow-prod-down_binary64_10720` `clear-num_binary64_10648` `div-sub_binary64_10654` `+-commutative_binary64_10579` `-commutative_binary64_10580` `frac-2neg_binary64_10660` `flip-+_binary64_10623` `flip3-+_binary64_10652` `associate-r/_binary64_10591`

Counts

3 → 113

Calls

6 calls:

16.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
0.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
0.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

series846.0ms (7.5%)

Counts

3 → 78

Calls

3 calls:

439.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
264.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
142.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

Compiler

Compiled 2348 to 1781 computations (24.1% saved)

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4992	3378
1	4992	3378

prune138.0ms (1.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	191	4	195

Error

Counts

195 → 4

Compiler

Compiled 3245 to 631 computations (80.6% saved)

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.5b	(cbrt.f64 (-.f64 a t))
0.2b	(/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t)))
0.2b	(/.f64 y (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t))))
0.0b	(+.f64 x (.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t)))))
0.5b	(cbrt.f64 (-.f64 a t))
0.5b	(cbrt.f64 (-.f64 a t))
0.5b	(*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))
6.2b	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))

rewrite86.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`add-sqr-sqrt_binary64_10671`
79×	`*-un-lft-identity_binary64_10649`
65×	`cbrt-prod_binary64_10680`
54×	`associate-r_binary64_10589`
50×	`times-frac_binary64_10655`
35×	`add-cube-cbrt_binary64_10684`
30×	`cbrt-div_binary64_10681`
27×	`add-exp-log_binary64_10687`
23×	`associate-l_binary64_10590`
21×	`distribute-lft-out--_binary64_10601`
19×	`difference-of-squares_binary64_10618`
18×	`add-cbrt-cube_binary64_10685`
15×	`flip3--_binary64_10653` `flip--_binary64_10624`
13×	`pow1_binary64_10710`
10×	`unswap-sqr_binary64_10617` `associate-/r/_binary64_10595` `swap-sqr_binary64_10616`
9×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `frac-times_binary64_10659`
8×	`pow1/3_binary64_10731`
7×	`div-exp_binary64_10700` `cbrt-undiv_binary64_10683`
5×	`associate-l/_binary64_10592` `associate-r/_binary64_10591`
4×	`add-log-exp_binary64_10688`
3×	`pow-prod-down_binary64_10720`
2×	`pow-sqr_binary64_10622` `pow-prod-up_binary64_10719` `*-commutative_binary64_10580` `div-inv_binary64_10646`
1×	`pow-plus_binary64_10712` `pow2_binary64_10730`

Counts

4 → 177

Calls

8 calls:

39.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))
17.0ms	(*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))
4.0ms	(cbrt.f64 (-.f64 a t))
4.0ms	(cbrt.f64 (-.f64 a t))
0.0ms	(+.f64 x (.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t)))))

series765.0ms (6.8%)

Counts

4 → 64

Calls

4 calls:

324.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))
224.0ms	(*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))
109.0ms	(cbrt.f64 (-.f64 a t))
107.0ms	(cbrt.f64 (-.f64 a t))

Compiler

Compiled 3115 to 2491 computations (20% saved)

simplify91.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5075	5189

prune219.0ms (2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	241	0	241
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	241	4	245

Error

Counts

245 → 4

Compiler

Compiled 6526 to 1617 computations (75.2% saved)

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	1193	535
1	1193	535

regimes394.0ms (3.5%)

Compiler: Compiled 2768 to 2586 computations (6.6% saved)

bsearch0.0ms (0%)

regimes516.0ms (4.6%)

Compiler: Compiled 1381 to 1631 computations (-18.1% saved)

bsearch1.0ms (0%)

Compiler: Compiled 9 to 9 computations (0% saved)

regimes425.0ms (3.8%)

Compiler: Compiled 1067 to 1288 computations (-20.7% saved)

bsearch31.0ms (0.3%)

Steps

Iters	Range		Point
7	4.845478232760792e+30	8.023213073299017e+32	5.803292953563066e+31
6	-7.233260261532819e+76	-1.086638753782888e+76	-1.3818246021427278e+76

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes418.0ms (3.7%)

Compiler: Compiled 851 to 1072 computations (-26% saved)

bsearch39.0ms (0.3%)

Steps

Iters	Range		Point
10	0.015461169434516212	276474241.5996766	2.8220827675284874
6	-7.233260261532819e+76	-1.086638753782888e+76	-1.102174851064985e+76

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes395.0ms (3.5%)

Compiler: Compiled 743 to 964 computations (-29.7% saved)

bsearch44.0ms (0.4%)

Steps

Iters	Range		Point
10	0.015461169434516212	276474241.5996766	1456.7049171416834
6	-7.233260261532819e+76	-1.086638753782888e+76	-2.7455690387719104e+76

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes194.0ms (1.7%)

Compiler: Compiled 310 to 485 computations (-56.5% saved)

bsearch37.0ms (0.3%)

Steps

Iters	Range		Point
7	4.845478232760792e+30	8.023213073299017e+32	7.837503083522533e+32
10	-3.2831052917073106e+132	-4.778851871950132e+117	-4.080211441867023e+131

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes255.0ms (2.3%)

Compiler: Compiled 220 to 395 computations (-79.5% saved)

bsearch41.0ms (0.4%)

Steps

Iters	Range		Point
7	4.845478232760792e+30	8.023213073299017e+32	7.667158584379091e+30
11	-8.4854187743614e+59	-1.0626213024573659e+35	-2.680276939493432e+44

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes202.0ms (1.8%)

Compiler: Compiled 115 to 275 computations (-139.1% saved)

bsearch41.0ms (0.4%)

Steps

Iters	Range		Point
7	4.845478232760792e+30	8.023213073299017e+32	9.698361597559374e+30
11	-8.4854187743614e+59	-1.0626213024573659e+35	-1.0035685746638153e+37

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes158.0ms (1.4%)

Compiler: Compiled 80 to 235 computations (-193.8% saved)

bsearch102.0ms (0.9%)

Steps

Iters	Range		Point
7	4.845478232760792e+30	8.023213073299017e+32	4.918021197517231e+30
8	3.216428237143389e-281	1.5844496101168067e-276	3.300288683503237e-281
7	4.705398729733896e-291	9.747577477576448e-290	9.658743010715143e-290
8	-3.0255701207700697e-264	-2.9978482682938746e-267	-9.403135936280139e-266
7	-2.6469248281348845e-215	-5.944842108709314e-217	-6.801950263694391e-217
7	-7.882480038267408e-11	-4.237946430683414e-13	-6.8116282335522364e-12

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes82.0ms (0.7%)

Compiler: Compiled 45 to 195 computations (-333.3% saved)

bsearch29.0ms (0.3%)

Steps

Iters	Range		Point
7	4.845478232760792e+30	8.023213073299017e+32	7.086814866327582e+30
7	-7.882480038267408e-11	-4.237946430683414e-13	-9.67240256475412e-13

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes52.0ms (0.5%)

Compiler: Compiled 30 to 165 computations (-450% saved)

bsearch0.0ms (0%)

regimes48.0ms (0.4%)

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

bsearch0.0ms (0%)

regimes41.0ms (0.4%)

Accuracy

Total 1.1b remaining (99.7%)

Threshold costs 0b (0%)

Compiler

Compiled 20 to 110 computations (-450% saved)

bsearch13.0ms (0.1%)

Compiler: Compiled 299 to 195 computations (34.8% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	182	412
1	182	412

end0.0ms (0%)

sample1.4s (12.1%)

Algorithm

1×

intervals

Results

305.0ms	8000×	body	128	valid
27.0ms	760×	body	128	invalid

Compiler

Compiled 673 to 562 computations (16.5% saved)

Pareto

0.4511799271782359

Details

analyze929.0ms (8.3%)

sample24.0ms (0.2%)

simplify383.0ms (3.4%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite40.0ms (0.4%)

series1.0s (9.3%)

simplify75.0ms (0.7%)

prune123.0ms (1.1%)

localize9.0ms (0.1%)

rewrite85.0ms (0.8%)

series906.0ms (8.1%)

simplify101.0ms (0.9%)

prune215.0ms (1.9%)

localize9.0ms (0.1%)

rewrite40.0ms (0.4%)

series846.0ms (7.5%)

simplify86.0ms (0.8%)

prune138.0ms (1.2%)

localize13.0ms (0.1%)

rewrite86.0ms (0.8%)

series765.0ms (6.8%)

simplify91.0ms (0.8%)

prune219.0ms (2%)

simplify51.0ms (0.5%)

regimes394.0ms (3.5%)

bsearch0.0ms (0%)

regimes516.0ms (4.6%)

bsearch1.0ms (0%)

regimes425.0ms (3.8%)

bsearch31.0ms (0.3%)

regimes418.0ms (3.7%)

bsearch39.0ms (0.3%)

regimes395.0ms (3.5%)

bsearch44.0ms (0.4%)

regimes194.0ms (1.7%)

bsearch37.0ms (0.3%)

regimes255.0ms (2.3%)

bsearch41.0ms (0.4%)

regimes202.0ms (1.8%)

bsearch41.0ms (0.4%)

regimes158.0ms (1.4%)

bsearch102.0ms (0.9%)

regimes82.0ms (0.7%)

bsearch29.0ms (0.3%)

regimes52.0ms (0.5%)

bsearch0.0ms (0%)

regimes48.0ms (0.4%)

bsearch0.0ms (0%)

regimes41.0ms (0.4%)

bsearch13.0ms (0.1%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample1.4s (12.1%)

Profiling