Details

analyze1.1s (9.1%)

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
0.4%	99.4%	0.2%	10
5.6%	94.2%	0.2%	11
7.1%	92.7%	0.2%	12
8.8%	91%	0.2%	13
15.6%	84.2%	0.2%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample25.0ms (0.2%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 27 to 30 computations (-11.1% saved)

simplify185.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4869	19
1	4869	19

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

2.0b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.8b	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))
0.0b	(/.f64 (+.f64 (-.f64 t z) 1) a)
0.0b	(/.f64 (+.f64 (-.f64 t z) 1) a)
7.8b	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))

rewrite50.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

236×	`*-un-lft-identity_binary64_16787`
200×	`times-frac_binary64_16793`
126×	`add-sqr-sqrt_binary64_16809`
86×	`add-cube-cbrt_binary64_16822`
44×	`distribute-lft-out_binary64_16738`
42×	`distribute-lft-out--_binary64_16739`
22×	`associate-/r*_binary64_16731`
20×	`difference-of-squares_binary64_16756`
10×	`associate-/l*_binary64_16732`
9×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
8×	`div-inv_binary64_16784`
4×	`cbrt-undiv_binary64_16821` `div-exp_binary64_16838` `associate-/l/_binary64_16734`
2×	`div-sub_binary64_16792` `add-log-exp_binary64_16826` `pow1_binary64_16848` `clear-num_binary64_16786` `frac-2neg_binary64_16798`
1×	`associate-+l-_binary64_16722` `flip3--_binary64_16791` `flip-+_binary64_16761` `associate-/r/_binary64_16733` `flip--_binary64_16762` `flip3-+_binary64_16790`

Counts

2 → 175

Calls

4 calls:

15.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))
9.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)
0.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)
0.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))

series552.0ms (4.6%)

Counts

2 → 48

Calls

2 calls:

426.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))
126.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

Compiler

Compiled 2171 to 1590 computations (26.8% saved)

simplify105.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4990	7339
1	4990	7339

prune335.0ms (2.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	219	4	223
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	220	4	224

Error

Counts

224 → 4

Compiler

Compiled 6022 to 2342 computations (61.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.4b	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)
0.0b	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
0.0b	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
1.4b	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)

rewrite44.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

103×	`*-un-lft-identity_binary64_16787`
53×	`add-sqr-sqrt_binary64_16809`
51×	`times-frac_binary64_16793`
31×	`associate-l_binary64_16728`
26×	`add-cube-cbrt_binary64_16822`
22×	`distribute-lft-out--_binary64_16739` `distribute-lft-out_binary64_16738`
11×	`difference-of-squares_binary64_16756`
9×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
5×	`associate-/l_binary64_16732` `associate-/r_binary64_16731`
4×	`pow1_binary64_16848` `associate-/r/_binary64_16733`
3×	`associate-r_binary64_16727`
2×	`cbrt-undiv_binary64_16821` `add-log-exp_binary64_16826` `cbrt-unprod_binary64_16820` `prod-exp_binary64_16836` `div-exp_binary64_16838` `associate-/l/_binary64_16734` `flip-+_binary64_16761` `unswap-sqr_binary64_16755` `div-inv_binary64_16784` `flip3-+_binary64_16790`
1×	`div-sub_binary64_16792` `clear-num_binary64_16786` `-commutative_binary64_16718` `flip3--_binary64_16791` `flip--_binary64_16762` `frac-2neg_binary64_16798` `associate-l/_binary64_16730` `pow-prod-down_binary64_16858`

Counts

2 → 102

Calls

4 calls:

21.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)
12.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
0.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
0.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)

series709.0ms (5.9%)

Counts

2 → 63

Calls

2 calls:

425.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)
284.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))

Compiler

Compiled 3278 to 2418 computations (26.2% saved)

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5311	6360

prune221.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	165	4	169

Error

Counts

169 → 4

Compiler

Compiled 5360 to 2323 computations (56.7% saved)

localize14.0ms (0.1%)

Local error

Found 6 expressions with local error:

7.5b	(.f64 (-.f64 y z) (.f64 (/.f64 1 (+.f64 (-.f64 t z) 1)) a))
0.2b	(*.f64 (/.f64 1 (+.f64 (-.f64 t z) 1)) a)
0.0b	(/.f64 1 (+.f64 (-.f64 t z) 1))
0.0b	(/.f64 1 (+.f64 (-.f64 t z) 1))
0.2b	(*.f64 (/.f64 1 (+.f64 (-.f64 t z) 1)) a)
7.5b	(.f64 (-.f64 y z) (.f64 (/.f64 1 (+.f64 (-.f64 t z) 1)) a))

rewrite49.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

62×	`*-un-lft-identity_binary64_16787`
33×	`add-sqr-sqrt_binary64_16809`
32×	`times-frac_binary64_16793`
31×	`add-exp-log_binary64_16825`
26×	`associate-l_binary64_16728`
24×	`add-cube-cbrt_binary64_16822`
19×	`add-cbrt-cube_binary64_16823`
14×	`distribute-lft-out_binary64_16738`
13×	`prod-exp_binary64_16836`
11×	`pow1_binary64_16848`
8×	`distribute-lft-out--_binary64_16739`
7×	`cbrt-unprod_binary64_16820`
6×	`div-exp_binary64_16838` `associate-*l/_binary64_16730`
5×	`associate-/r*_binary64_16731`
4×	`associate-r_binary64_16727` `associate-/r/_binary64_16733` `pow-prod-down_binary64_16858`
3×	`cbrt-undiv_binary64_16821` `add-log-exp_binary64_16826` `associate-/l*_binary64_16732` `rec-exp_binary64_16837` `1-exp_binary64_16831` `unswap-sqr_binary64_16755`
2×	`*-commutative_binary64_16718` `flip3--_binary64_16791` `flip-+_binary64_16761` `frac-times_binary64_16797` `flip--_binary64_16762` `div-inv_binary64_16784` `flip3-+_binary64_16790`
1×	`difference-of-squares_binary64_16756` `clear-num_binary64_16786` `associate-*r/_binary64_16729` `pow-flip_binary64_16861` `inv-pow_binary64_16872` `frac-2neg_binary64_16798`

Counts

3 → 113

Calls

6 calls:

16.0ms	(.f64 (-.f64 y z) (.f64 (/.f64 1 (+.f64 (-.f64 t z) 1)) a))
14.0ms	(*.f64 (/.f64 1 (+.f64 (-.f64 t z) 1)) a)
9.0ms	(/.f64 1 (+.f64 (-.f64 t z) 1))
0.0ms	(/.f64 1 (+.f64 (-.f64 t z) 1))
0.0ms	(*.f64 (/.f64 1 (+.f64 (-.f64 t z) 1)) a)

series738.0ms (6.1%)

Counts

3 → 84

Calls

3 calls:

430.0ms	(.f64 (-.f64 y z) (.f64 (/.f64 1 (+.f64 (-.f64 t z) 1)) a))
183.0ms	(*.f64 (/.f64 1 (+.f64 (-.f64 t z) 1)) a)
125.0ms	(/.f64 1 (+.f64 (-.f64 t z) 1))

Compiler

Compiled 3645 to 2756 computations (24.4% saved)

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4979	6244
1	4979	6244

prune236.0ms (2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	197	4	201

Error

Counts

201 → 4

Compiler

Compiled 5795 to 2710 computations (53.2% saved)

localize11.0ms (0.1%)

Local error

Found 6 expressions with local error:

7.8b	(/.f64 (-.f64 y z) (-.f64 (/.f64 t a) (/.f64 (-.f64 z 1) a)))
1.1b	(-.f64 (/.f64 t a) (/.f64 (-.f64 z 1) a))
0.0b	(/.f64 (-.f64 z 1) a)
0.0b	(/.f64 (-.f64 z 1) a)
1.1b	(-.f64 (/.f64 t a) (/.f64 (-.f64 z 1) a))
7.8b	(/.f64 (-.f64 y z) (-.f64 (/.f64 t a) (/.f64 (-.f64 z 1) a)))

rewrite89.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

248×	`*-un-lft-identity_binary64_16787`
229×	`times-frac_binary64_16793`
220×	`add-sqr-sqrt_binary64_16809`
93×	`distribute-lft-out--_binary64_16739`
76×	`add-cube-cbrt_binary64_16822`
58×	`difference-of-squares_binary64_16756`
25×	`cancel-sign-sub-inv_binary64_16753`
18×	`associate-/r*_binary64_16731`
17×	`div-inv_binary64_16784`
12×	`associate-/l*_binary64_16732`
7×	`difference-of-sqr-1_binary64_16757` `distribute-rgt-out--_binary64_16741` `add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
5×	`add-log-exp_binary64_16826`
4×	`flip3--_binary64_16791` `associate-/l/_binary64_16734` `associate-/r/_binary64_16733` `flip--_binary64_16762`
3×	`div-sub_binary64_16792` `pow1_binary64_16848`
2×	`cbrt-undiv_binary64_16821` `div-exp_binary64_16838` `clear-num_binary64_16786` `frac-sub_binary64_16796` `frac-2neg_binary64_16798` `sub-div_binary64_16794`
1×	`diff-log_binary64_16879` `sub-neg_binary64_16780` `associate--r-_binary64_16726`

Counts

3 → 211

Calls

6 calls:

32.0ms	(/.f64 (-.f64 y z) (-.f64 (/.f64 t a) (/.f64 (-.f64 z 1) a)))
24.0ms	(-.f64 (/.f64 t a) (/.f64 (-.f64 z 1) a))
6.0ms	(/.f64 (-.f64 z 1) a)
0.0ms	(/.f64 (-.f64 z 1) a)
0.0ms	(-.f64 (/.f64 t a) (/.f64 (-.f64 z 1) a))

series824.0ms (6.8%)

Counts

3 → 57

Calls

3 calls:

575.0ms	(/.f64 (-.f64 y z) (-.f64 (/.f64 t a) (/.f64 (-.f64 z 1) a)))
174.0ms	(-.f64 (/.f64 t a) (/.f64 (-.f64 z 1) a))
75.0ms	(/.f64 (-.f64 z 1) a)

Compiler

Compiled 2654 to 1893 computations (28.7% saved)

simplify114.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

268 → 268

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4987	8371
1	4987	8371

prune294.0ms (2.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	268	0	268
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	268	4	272

Error

Counts

272 → 4

Compiler

Compiled 7411 to 3023 computations (59.2% saved)

simplify164.0ms (1.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (139.0ms)

Iter	Nodes	Cost
0	3361	1881
1	3361	1881

regimes966.0ms (8%)

Compiler: Compiled 8864 to 6938 computations (21.7% saved)

bsearch0.0ms (0%)

regimes359.0ms (3%)

Compiler: Compiled 1839 to 2001 computations (-8.8% saved)

bsearch1.0ms (0%)

Compiler: Compiled 11 to 11 computations (0% saved)

regimes185.0ms (1.5%)

Compiler: Compiled 1030 to 1160 computations (-12.6% saved)

bsearch32.0ms (0.3%)

Steps

Iters	Range		Point
7	1.8034328728868587e+27	4.5210466076877785e+29	7.330490594671804e+27
6	-3.974157082765867e-28	-6.943493825242354e-29	-3.2787870391267375e-28

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes161.0ms (1.3%)

Compiler: Compiled 965 to 1100 computations (-14% saved)

bsearch0.0ms (0%)

regimes345.0ms (2.9%)

Compiler: Compiled 900 to 1040 computations (-15.6% saved)

bsearch42.0ms (0.4%)

Steps

Iters	Range		Point
9	3.199551969331411e+53	1.5097502493968579e+60	8.940082290143948e+53
7	-1.7341757444971727e+55	-2.868064075702321e+53	-3.0008996469707045e+53

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes326.0ms (2.7%)

Compiler: Compiled 680 to 820 computations (-20.6% saved)

bsearch50.0ms (0.4%)

Steps

Iters	Range		Point
9	4.70080909989443e+41	4.514467082475522e+47	1.580893112046276e+43
9	-2.7380341765508054	-1.1259390296397782e-07	-2.307721591156877

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes323.0ms (2.7%)

Compiler: Compiled 625 to 765 computations (-22.4% saved)

bsearch33.0ms (0.3%)

Steps

Iters	Range		Point
8	3.494138274544018e+33	1.1427680975841334e+37	9.41766290371948e+34
5	-1.6487554803265324e+42	-4.452316191014529e+41	-7.122020901505912e+41

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes190.0ms (1.6%)

Compiler: Compiled 460 to 600 computations (-30.4% saved)

bsearch47.0ms (0.4%)

Steps

Iters	Range		Point
9	4.70080909989443e+41	4.514467082475522e+47	1.1992523885593028e+46
9	-2.7380341765508054	-1.1259390296397782e-07	-2.690221667062591

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes264.0ms (2.2%)

Compiler: Compiled 405 to 545 computations (-34.6% saved)

bsearch34.0ms (0.3%)

Steps

Iters	Range		Point
4	1075878614.5893705	1625686997.5128746	1539779437.6810768
9	-2.7380341765508054	-1.1259390296397782e-07	-2.690221667062591

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes253.0ms (2.1%)

Compiler: Compiled 355 to 495 computations (-39.4% saved)

bsearch36.0ms (0.3%)

Steps

Iters	Range		Point
4	1075878614.5893705	1625686997.5128746	1367964318.0174818
9	-2.7380341765508054	-1.1259390296397782e-07	-2.690221667062591

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes145.0ms (1.2%)

Compiler: Compiled 85 to 220 computations (-158.8% saved)

bsearch44.0ms (0.4%)

Steps

Iters	Range		Point
9	4.70080909989443e+41	4.514467082475522e+47	4.2220703348072915e+42
9	-2.7380341765508054	-1.1259390296397782e-07	-2.690221667062591

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes52.0ms (0.4%)

Compiler: Compiled 40 to 170 computations (-325% saved)

bsearch0.0ms (0%)

regimes47.0ms (0.4%)

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

bsearch0.0ms (0%)

regimes43.0ms (0.4%)

Accuracy

Total 0.1b remaining (98.7%)

Threshold costs 0.1b (98.7%)

Compiler

Compiled 20 to 110 computations (-450% saved)

bsearch15.0ms (0.1%)

Compiler: Compiled 398 to 261 computations (34.4% saved)

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	632	488
1	632	488

end0.0ms (0%)

sample2.0s (16.4%)

Algorithm

1×

intervals

Results

355.0ms	7998×	body	128	valid
21.0ms	503×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 1594 to 1240 computations (22.2% saved)

Pareto

0.8216585704620454

Details

analyze1.1s (9.1%)

sample25.0ms (0.2%)

simplify185.0ms (1.5%)

prune2.0ms (0%)

localize10.0ms (0.1%)

rewrite50.0ms (0.4%)

series552.0ms (4.6%)

simplify105.0ms (0.9%)

prune335.0ms (2.8%)

localize10.0ms (0.1%)

rewrite44.0ms (0.4%)

series709.0ms (5.9%)

simplify75.0ms (0.6%)

prune221.0ms (1.8%)

localize14.0ms (0.1%)

rewrite49.0ms (0.4%)

series738.0ms (6.1%)

simplify89.0ms (0.7%)

prune236.0ms (2%)

localize11.0ms (0.1%)

rewrite89.0ms (0.7%)

series824.0ms (6.8%)

simplify114.0ms (0.9%)

prune294.0ms (2.4%)

simplify164.0ms (1.4%)

regimes966.0ms (8%)

bsearch0.0ms (0%)

regimes359.0ms (3%)

bsearch1.0ms (0%)

regimes185.0ms (1.5%)

bsearch32.0ms (0.3%)

regimes161.0ms (1.3%)

bsearch0.0ms (0%)

regimes345.0ms (2.9%)

bsearch42.0ms (0.4%)

regimes326.0ms (2.7%)

bsearch50.0ms (0.4%)

regimes323.0ms (2.7%)

bsearch33.0ms (0.3%)

regimes190.0ms (1.6%)

bsearch47.0ms (0.4%)

regimes264.0ms (2.2%)

bsearch34.0ms (0.3%)

regimes253.0ms (2.1%)

bsearch36.0ms (0.3%)

regimes145.0ms (1.2%)

bsearch44.0ms (0.4%)

regimes52.0ms (0.4%)

bsearch0.0ms (0%)

regimes47.0ms (0.4%)

bsearch0.0ms (0%)

regimes43.0ms (0.4%)

bsearch15.0ms (0.1%)

simplify22.0ms (0.2%)

end0.0ms (0%)

sample2.0s (16.4%)

Profiling