Details

analyze988.0ms (13.4%)

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
3.5%	96.2%	0.2%	10
9.8%	89.9%	0.2%	11
14.1%	85.7%	0.2%	12
22.6%	77.1%	0.2%	13
23.7%	76%	0.2%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	229×	body	128	valid
2.0ms	9×	body	1024	valid
1.0ms	33×	body	128	invalid
1.0ms	10×	body	512	valid
0.0ms	6×	body	256	valid
0.0ms	2×	body	2048	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify345.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (176.0ms)

Iter	Nodes	Cost
0	4749	19
1	4749	19

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 15.2b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 z t) y)
1.8b	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
11.7b	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

rewrite44.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_10743`
21×	`add-sqr-sqrt_binary64_10765`
11×	`cancel-sign-sub-inv_binary64_10709`
10×	`times-frac_binary64_10749` `add-cbrt-cube_binary64_10779` `add-exp-log_binary64_10781`
9×	`add-cube-cbrt_binary64_10778`
8×	`add-log-exp_binary64_10782`
6×	`distribute-lft-out--_binary64_10695`
5×	`flip--_binary64_10718` `associate-l_binary64_10684` `associate-/r*_binary64_10687` `flip3--_binary64_10747` `pow1_binary64_10804` `difference-of-squares_binary64_10712`
4×	`associate-/r/_binary64_10689` `associate-*l/_binary64_10686`
3×	`associate-r_binary64_10683`
2×	`div-exp_binary64_10794` `associate-/l/_binary64_10690` `cbrt-unprod_binary64_10776` `prod-exp_binary64_10792` `frac-sub_binary64_10752` `cbrt-undiv_binary64_10777` `div-inv_binary64_10740` `diff-log_binary64_10835`
1×	`frac-2neg_binary64_10754` `clear-num_binary64_10742` `associate--l+_binary64_10680` `unswap-sqr_binary64_10711` `flip-+_binary64_10717` `associate-/l_binary64_10688` `sub-neg_binary64_10736` `distribute-lft-out_binary64_10694` `-commutative_binary64_10674` `flip3-+_binary64_10746` `sum-log_binary64_10834` `pow-prod-down_binary64_10814`

Counts

3 → 80

Calls

3 calls:

14.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
12.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))
8.0ms	(*.f64 (-.f64 z t) y)

series566.0ms (7.7%)

Counts

3 → 9

Calls

3 calls:

363.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
149.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))
54.0ms	(*.f64 (-.f64 z t) y)

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5392	1513

prune496.0ms (6.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	76	13	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	13	90

Merged error: 2.9b

Counts

90 → 13

Compiler

Compiled 10433 to 5775 computations (44.6% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 a t))
0.5b	(cbrt.f64 (-.f64 a t))
4.8b	(.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t))))
6.9b	(-.f64 (+.f64 x y) (.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t)))))

rewrite69.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-sqr-sqrt_binary64_10765`
36×	`times-frac_binary64_10749`
35×	`*-un-lft-identity_binary64_10743`
30×	`associate-r_binary64_10683`
27×	`cbrt-prod_binary64_10774`
25×	`add-exp-log_binary64_10781`
23×	`add-cube-cbrt_binary64_10778`
18×	`add-cbrt-cube_binary64_10779` `cbrt-div_binary64_10775`
17×	`associate-l_binary64_10684`
10×	`flip--_binary64_10718` `associate-/r/_binary64_10689` `flip3--_binary64_10747`
9×	`add-log-exp_binary64_10782`
8×	`cbrt-unprod_binary64_10776` `prod-exp_binary64_10792`
7×	`div-exp_binary64_10794` `cbrt-undiv_binary64_10777` `frac-times_binary64_10753`
6×	`unswap-sqr_binary64_10711` `frac-sub_binary64_10752` `pow1_binary64_10804` `distribute-lft-out--_binary64_10695` `difference-of-squares_binary64_10712`
5×	`associate-r/_binary64_10685` `associate-l/_binary64_10686`
3×	`flip-+_binary64_10717` `flip3-+_binary64_10746`
2×	`pow1/3_binary64_10825` `div-inv_binary64_10740` `diff-log_binary64_10835`
1×	`associate--l+_binary64_10680` `sub-neg_binary64_10736` `*-commutative_binary64_10674` `sum-log_binary64_10834` `pow-prod-down_binary64_10814` `cancel-sign-sub-inv_binary64_10709`

Counts

4 → 127

Calls

4 calls:

35.0ms	(.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t))))
8.0ms	(-.f64 (+.f64 x y) (.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t)))))
4.0ms	(cbrt.f64 (-.f64 a t))
4.0ms	(cbrt.f64 (-.f64 a t))

series1.0s (14.2%)

Counts

4 → 12

Calls

4 calls:

362.0ms	(-.f64 (+.f64 x y) (.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t)))))
255.0ms	(.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t))))
221.0ms	(cbrt.f64 (-.f64 a t))
206.0ms	(cbrt.f64 (-.f64 a t))

simplify82.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5299	3521

prune234.0ms (3.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	135	4	139
Fresh	3	9	12
Picked	0	1	1
Done	0	0	0
Total	138	14	152

Merged error: 2.9b

Counts

152 → 14

Compiler

Compiled 6032 to 2015 computations (66.6% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a t) y)
2.8b	(-.f64 (+.f64 x y) (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
11.8b	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))

rewrite123.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

373×	`times-frac_binary64_10749`
313×	`add-sqr-sqrt_binary64_10765`
309×	`*-un-lft-identity_binary64_10743`
152×	`add-cube-cbrt_binary64_10778`
100×	`cancel-sign-sub-inv_binary64_10709`
79×	`difference-of-squares_binary64_10712`
78×	`distribute-lft-out--_binary64_10695`
22×	`associate-/r*_binary64_10687`
14×	`div-inv_binary64_10740`
10×	`associate-/l*_binary64_10688` `add-cbrt-cube_binary64_10779` `add-exp-log_binary64_10781`
8×	`add-log-exp_binary64_10782`
4×	`div-exp_binary64_10794` `associate-/l/_binary64_10690` `cbrt-undiv_binary64_10777`
3×	`flip--_binary64_10718` `div-sub_binary64_10748` `flip3--_binary64_10747` `pow1_binary64_10804`
2×	`frac-2neg_binary64_10754` `clear-num_binary64_10742` `associate-/r/_binary64_10689` `frac-sub_binary64_10752` `diff-log_binary64_10835`
1×	`associate--l+_binary64_10680` `flip-+_binary64_10717` `sub-neg_binary64_10736` `distribute-lft-out_binary64_10694` `associate--r-_binary64_10682` `flip3-+_binary64_10746` `sum-log_binary64_10834`

Counts

3 → 296

Calls

3 calls:

53.0ms	(-.f64 (+.f64 x y) (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
14.0ms	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))
7.0ms	(/.f64 (-.f64 a t) y)

series645.0ms (8.7%)

Counts

3 → 9

Calls

3 calls:

351.0ms	(-.f64 (+.f64 x y) (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
242.0ms	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))
51.0ms	(/.f64 (-.f64 a t) y)

simplify115.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

305 → 305

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4991	8689
1	4991	8689

prune383.0ms (5.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	299	6	305
Fresh	8	4	12
Picked	0	1	1
Done	1	0	1
Total	308	11	319

Merged error: 2.4b

Counts

319 → 11

Compiler

Compiled 10341 to 2804 computations (72.9% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
1.5b	(*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) y)
1.8b	(-.f64 (+.f64 x y) (*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) y))

rewrite44.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_10765`
71×	`*-un-lft-identity_binary64_10743`
51×	`times-frac_binary64_10749`
31×	`associate-l_binary64_10684`
27×	`add-cube-cbrt_binary64_10778`
22×	`distribute-lft-out--_binary64_10695` `difference-of-squares_binary64_10712`
10×	`add-cbrt-cube_binary64_10779` `add-exp-log_binary64_10781`
8×	`add-log-exp_binary64_10782`
5×	`associate-/l_binary64_10688` `associate-/r_binary64_10687` `pow1_binary64_10804`
4×	`flip--_binary64_10718` `associate-/r/_binary64_10689` `flip3--_binary64_10747`
3×	`associate-r_binary64_10683` `associate-*l/_binary64_10686`
2×	`unswap-sqr_binary64_10711` `div-exp_binary64_10794` `associate-/l/_binary64_10690` `cbrt-unprod_binary64_10776` `prod-exp_binary64_10792` `frac-sub_binary64_10752` `cbrt-undiv_binary64_10777` `div-inv_binary64_10740` `diff-log_binary64_10835`
1×	`frac-2neg_binary64_10754` `clear-num_binary64_10742` `associate--l+_binary64_10680` `flip-+_binary64_10717` `div-sub_binary64_10748` `sub-neg_binary64_10736` `*-commutative_binary64_10674` `flip3-+_binary64_10746` `sum-log_binary64_10834` `pow-prod-down_binary64_10814` `cancel-sign-sub-inv_binary64_10709`

Counts

3 → 118

Calls

3 calls:

15.0ms	(*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) y)
9.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
7.0ms	(-.f64 (+.f64 x y) (*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) y))

series693.0ms (9.4%)

Counts

3 → 9

Calls

3 calls:

366.0ms	(-.f64 (+.f64 x y) (*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) y))
243.0ms	(*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) y)
84.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5359	2303

prune108.0ms (1.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	127	11	138

Merged error: 2.4b

Counts

138 → 11

Compiler

Compiled 2862 to 675 computations (76.4% saved)

regimes150.0ms (2%)

Compiler: Compiled 1105 to 780 computations (29.4% saved)

bsearch47.0ms (0.6%)

Steps

Iters	Range		Point
10	5.534906324290591e+180	8.481134167345447e+191	6.965175920449405e+180
6	-1.4992631748636414e+229	-1.4620585128398298e+228	-8.703056610822989e+228

Compiler

Compiled 1 to 5 computations (-400% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	149	51
1	149	51

end0.0ms (0%)

sample1.0s (13.7%)

Algorithm

1×

intervals

Results

278.0ms	6812×	body	128	valid
65.0ms	454×	body	512	valid
57.0ms	348×	body	1024	valid
29.0ms	717×	body	128	invalid
25.0ms	325×	body	256	valid
12.0ms	61×	body	2048	valid

Compiler

Compiled 343 to 219 computations (36.2% saved)

Details

analyze988.0ms (13.4%)

sample26.0ms (0.3%)

simplify345.0ms (4.7%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite44.0ms (0.6%)

series566.0ms (7.7%)

simplify45.0ms (0.6%)

prune496.0ms (6.7%)

localize17.0ms (0.2%)

rewrite69.0ms (0.9%)

series1.0s (14.2%)

simplify82.0ms (1.1%)

prune234.0ms (3.2%)

localize10.0ms (0.1%)

rewrite123.0ms (1.7%)

series645.0ms (8.7%)

simplify115.0ms (1.6%)

prune383.0ms (5.2%)

localize12.0ms (0.2%)

rewrite44.0ms (0.6%)

series693.0ms (9.4%)

simplify67.0ms (0.9%)

prune108.0ms (1.5%)

regimes150.0ms (2%)

bsearch47.0ms (0.6%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.0s (13.7%)

Profiling