Details

analyze1.9s (15.1%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5129	209
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	9
3.5%	96.2%	0.2%	10
3.5%	96.2%	0.2%	10
9.8%	89.9%	0.2%	11
9.8%	89.9%	0.2%	11
14.1%	85.7%	0.2%	12
14.1%	85.7%	0.2%	12
22.6%	77.1%	0.2%	13
22.6%	77.1%	0.2%	13
23.7%	76%	0.2%	14
23.7%	76%	0.2%	14

Compiler

Compiled 28 to 24 computations (14.3% saved)

sample254.0ms (2%)

Algorithm

2×

intervals

Results

16.0ms	426×	body	128	valid
4.0ms	26×	body	1024	valid
3.0ms	32×	body	512	valid
2.0ms	26×	body	256	valid
2.0ms	35×	body	128	invalid
0.0ms	2×	body	2048	valid

Compiler

Compiled 3779 to 4584 computations (-21.3% saved)

simplify130.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4872	19
1	4872	19

prune3.0ms (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

Error

18.1b

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)
2.2b	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
11.6b	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

rewrite134.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

9.9b

Rules

22×	`*-un-lft-identity_binary64_15082`
21×	`add-sqr-sqrt_binary64_15104`
11×	`cancel-sign-sub-inv_binary64_15048`
10×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118` `times-frac_binary64_15088`
9×	`add-cube-cbrt_binary64_15117`
8×	`add-log-exp_binary64_15121`
6×	`distribute-lft-out--_binary64_15034`
5×	`pow1_binary64_15143` `difference-of-squares_binary64_15051` `flip3--_binary64_15086` `flip--_binary64_15057` `associate-/r_binary64_15026` `associate-l*_binary64_15023`
4×	`associate-*l/_binary64_15025` `associate-/r/_binary64_15028`
3×	`associate-r_binary64_15022`
2×	`prod-exp_binary64_15131` `div-exp_binary64_15133` `cbrt-undiv_binary64_15116` `cbrt-unprod_binary64_15115` `div-inv_binary64_15079` `associate-/l/_binary64_15029` `diff-log_binary64_15174` `frac-sub_binary64_15091`
1×	`frac-2neg_binary64_15093` `clear-num_binary64_15081` `associate-/l_binary64_15027` `sum-log_binary64_15173` `flip3-+_binary64_15085` `flip-+_binary64_15056` `sub-neg_binary64_15075` `distribute-lft-out_binary64_15033` `associate--l+_binary64_15019` `pow-prod-down_binary64_15153` `unswap-sqr_binary64_15050` `-commutative_binary64_15013`

Counts

3 → 80

Calls

3 calls:

12.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
9.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))
7.0ms	(*.f64 (-.f64 z t) y)

Compiler

Compiled 1742 to 370 computations (78.8% saved)

series1.2s (9.4%)

Error

0.8b

Counts

3 → 66

Calls

3 calls:

645.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
337.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))
138.0ms	(*.f64 (-.f64 z t) y)

Compiler

Compiled 2792 to 1550 computations (44.5% saved)

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5753	2498

prune137.0ms (1.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	137	9	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	9	147

Error

0.8b

Counts

147 → 9

Compiler

Compiled 2604 to 478 computations (81.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a t) y)
2.9b	(-.f64 (+.f64 x y) (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
9.4b	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))

rewrite430.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

373×	`times-frac_binary64_15088`
313×	`add-sqr-sqrt_binary64_15104`
309×	`*-un-lft-identity_binary64_15082`
152×	`add-cube-cbrt_binary64_15117`
100×	`cancel-sign-sub-inv_binary64_15048`
79×	`difference-of-squares_binary64_15051`
78×	`distribute-lft-out--_binary64_15034`
22×	`associate-/r*_binary64_15026`
14×	`div-inv_binary64_15079`
10×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118` `associate-/l*_binary64_15027`
8×	`add-log-exp_binary64_15121`
4×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116` `associate-/l/_binary64_15029`
3×	`pow1_binary64_15143` `div-sub_binary64_15087` `flip3--_binary64_15086` `flip--_binary64_15057`
2×	`frac-2neg_binary64_15093` `clear-num_binary64_15081` `associate-/r/_binary64_15028` `diff-log_binary64_15174` `frac-sub_binary64_15091`
1×	`sum-log_binary64_15173` `flip3-+_binary64_15085` `flip-+_binary64_15056` `sub-neg_binary64_15075` `distribute-lft-out_binary64_15033` `associate--r-_binary64_15021` `associate--l+_binary64_15019`

Counts

3 → 296

Calls

3 calls:

48.0ms	(-.f64 (+.f64 x y) (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
13.0ms	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))
6.0ms	(/.f64 (-.f64 a t) y)

Compiler

Compiled 7810 to 1492 computations (80.9% saved)

series1.2s (9.3%)

Error

0.8b

Counts

3 → 66

Calls

3 calls:

630.0ms	(-.f64 (+.f64 x y) (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
335.0ms	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))
156.0ms	(/.f64 (-.f64 a t) y)

Compiler

Compiled 2798 to 1567 computations (44% saved)

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

362 → 362

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5000	9634

prune338.0ms (2.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	358	4	362
Fresh	5	3	8
Picked	0	1	1
Done	0	0	0
Total	363	8	371

Error

0.7b

Counts

371 → 8

Compiler

Compiled 8247 to 1056 computations (87.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 t (-.f64 a t))
0.0b	(+.f64 x (*.f64 y (-.f64 (+.f64 (/.f64 t (-.f64 a t)) 1) (/.f64 z (-.f64 a t)))))
1.4b	(+.f64 (/.f64 t (-.f64 a t)) 1)
2.4b	(*.f64 y (-.f64 (+.f64 (/.f64 t (-.f64 a t)) 1) (/.f64 z (-.f64 a t))))

rewrite311.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

91×	`add-sqr-sqrt_binary64_15104` `*-un-lft-identity_binary64_15082`
84×	`cancel-sign-sub-inv_binary64_15048`
76×	`times-frac_binary64_15088`
52×	`add-cube-cbrt_binary64_15117`
46×	`distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031` `associate-+r+_binary64_15014`
18×	`difference-of-squares_binary64_15051` `distribute-lft-out--_binary64_15034`
10×	`associate-/r/_binary64_15028`
8×	`add-exp-log_binary64_15120` `add-log-exp_binary64_15121` `add-cbrt-cube_binary64_15118`
7×	`associate-r_binary64_15022`
6×	`pow1_binary64_15143` `flip3--_binary64_15086` `flip--_binary64_15057`
5×	`div-inv_binary64_15079` `associate-/r*_binary64_15026`
4×	`sub-neg_binary64_15075` `associate--l+_binary64_15019` `associate-*r/_binary64_15024`
3×	`flip3-+_binary64_15085` `flip-+_binary64_15056` `associate-l_binary64_15023` `associate-/l*_binary64_15027`
2×	`frac-sub_binary64_15091` `distribute-lft-out_binary64_15033` `sum-log_binary64_15173` `+-commutative_binary64_15012`
1×	`pow-prod-down_binary64_15153` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `unswap-sqr_binary64_15050` `*-commutative_binary64_15013` `div-exp_binary64_15133` `cbrt-undiv_binary64_15116` `frac-2neg_binary64_15093` `clear-num_binary64_15081`

Counts

4 → 178

Calls

4 calls:

30.0ms	(*.f64 y (-.f64 (+.f64 (/.f64 t (-.f64 a t)) 1) (/.f64 z (-.f64 a t))))
26.0ms	(+.f64 x (*.f64 y (-.f64 (+.f64 (/.f64 t (-.f64 a t)) 1) (/.f64 z (-.f64 a t)))))
12.0ms	(+.f64 (/.f64 t (-.f64 a t)) 1)
6.0ms	(/.f64 t (-.f64 a t))

Compiler

Compiled 5112 to 1635 computations (68% saved)

series1.3s (10.4%)

Error

0.1b

Counts

4 → 70

Calls

4 calls:

657.0ms	(+.f64 x (*.f64 y (-.f64 (+.f64 (/.f64 t (-.f64 a t)) 1) (/.f64 z (-.f64 a t)))))
476.0ms	(*.f64 y (-.f64 (+.f64 (/.f64 t (-.f64 a t)) 1) (/.f64 z (-.f64 a t))))
62.0ms	(+.f64 (/.f64 t (-.f64 a t)) 1)
58.0ms	(/.f64 t (-.f64 a t))

Compiler

Compiled 3109 to 1891 computations (39.2% saved)

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5192	4937

prune253.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	246	2	248
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	250	6	256

Error

0.1b

Counts

256 → 6

Compiler

Compiled 5677 to 1785 computations (68.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 t (-.f64 a t))
0.2b	(*.f64 (neg.f64 z) (/.f64 1 (-.f64 a t)))
1.4b	(+.f64 (/.f64 t (-.f64 a t)) 1)
4.9b	(.f64 (.f64 (neg.f64 z) (/.f64 1 (-.f64 a t))) y)

rewrite217.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

48×	`add-sqr-sqrt_binary64_15104`
44×	`*-un-lft-identity_binary64_15082`
32×	`times-frac_binary64_15088`
30×	`add-exp-log_binary64_15120`
27×	`add-cube-cbrt_binary64_15117`
24×	`associate-r_binary64_15022`
20×	`add-cbrt-cube_binary64_15118`
13×	`prod-exp_binary64_15131`
11×	`pow1_binary64_15143` `associate-l_binary64_15023`
7×	`cbrt-unprod_binary64_15115` `difference-of-squares_binary64_15051` `distribute-lft-out--_binary64_15034`
6×	`add-log-exp_binary64_15121`
5×	`div-exp_binary64_15133` `associate-/r*_binary64_15026`
4×	`pow-prod-down_binary64_15153` `associate-/r/_binary64_15028`
3×	`cbrt-undiv_binary64_15116` `distribute-lft-neg-out_binary64_15041` `unswap-sqr_binary64_15050` `distribute-rgt-neg-in_binary64_15040` `distribute-lft-neg-in_binary64_15039` `associate-/l*_binary64_15027`
2×	`1-exp_binary64_15126` `rec-exp_binary64_15132` `un-div-inv_binary64_15080` `associate-l/_binary64_15025` `associate-r/_binary64_15024` `*-commutative_binary64_15013` `div-inv_binary64_15079` `flip3--_binary64_15086` `flip--_binary64_15057`
1×	`sum-log_binary64_15173` `flip3-+_binary64_15085` `flip-+_binary64_15056` `distribute-lft-out_binary64_15033` `+-commutative_binary64_15012` `neg-mul-1_binary64_15078` `frac-2neg_binary64_15093` `clear-num_binary64_15081`

Counts

4 → 126

Calls

4 calls:

15.0ms	(+.f64 (/.f64 t (-.f64 a t)) 1)
14.0ms	(*.f64 (neg.f64 z) (/.f64 1 (-.f64 a t)))
11.0ms	(.f64 (.f64 (neg.f64 z) (/.f64 1 (-.f64 a t))) y)
5.0ms	(/.f64 t (-.f64 a t))

Compiler

Compiled 3727 to 1603 computations (57% saved)

series545.0ms (4.3%)

Error

0.1b

Counts

4 → 45

Calls

4 calls:

258.0ms	(.f64 (.f64 (neg.f64 z) (/.f64 1 (-.f64 a t))) y)
124.0ms	(*.f64 (neg.f64 z) (/.f64 1 (-.f64 a t)))
62.0ms	(+.f64 (/.f64 t (-.f64 a t)) 1)
56.0ms	(/.f64 t (-.f64 a t))

Compiler

Compiled 2739 to 1838 computations (32.9% saved)

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5468	1998

prune183.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	171	6	177

Error

0.1b

Counts

177 → 6

Compiler

Compiled 4236 to 1608 computations (62% saved)

regimes1.2s (9.9%)

Accuracy

Total 3.7b remaining (98.3%)

Threshold costs 0b (0%)

Compiler

Compiled 12728 to 8792 computations (30.9% saved)

bsearch60.0ms (0.5%)

Steps

Iters	Range		Point
7	9.570689137616641e+176	1.2119477230673446e+179	4.669954669182884e+177
10	-8.8535150013234e+212	-7.835061419066548e+199	-1.686508813163046e+200

Compiler

Compiled 1 to 5 computations (-400% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	65	52
1	65	52

end0.0ms (0%)

sample2.4s (19.1%)

Algorithm

1×

intervals

Results

264.0ms	6740×	body	128	valid
56.0ms	487×	body	512	valid
53.0ms	361×	body	1024	valid
31.0ms	741×	body	128	invalid
28.0ms	346×	body	256	valid
12.0ms	66×	body	2048	valid

Compiler

Compiled 2216 to 1515 computations (31.6% saved)

Details

analyze1.9s (15.1%)

sample254.0ms (2%)

simplify130.0ms (1%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite134.0ms (1.1%)

series1.2s (9.4%)

simplify70.0ms (0.6%)

prune137.0ms (1.1%)

localize9.0ms (0.1%)

rewrite430.0ms (3.4%)

series1.2s (9.3%)

simplify101.0ms (0.8%)

prune338.0ms (2.7%)

localize11.0ms (0.1%)

rewrite311.0ms (2.5%)

series1.3s (10.4%)

simplify96.0ms (0.8%)

prune253.0ms (2%)

localize14.0ms (0.1%)

rewrite217.0ms (1.7%)

series545.0ms (4.3%)

simplify66.0ms (0.5%)

prune183.0ms (1.5%)

regimes1.2s (9.9%)

bsearch60.0ms (0.5%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.4s (19.1%)

Profiling