Details

analyze1.7s (18.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4900	400
1	4900	400
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0.6%	99.1%	0.3%	11
1.8%	98%	0.3%	12
2.6%	97.1%	0.3%	13
4%	95.7%	0.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 35 to 35 computations (0% saved)

simplify97.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4854	25
1	4854	25

prune3.0ms (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

24.3b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 z (-.f64 t a))
0.0b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
23.4b	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_17150`
19×	`*-un-lft-identity_binary64_17128`
17×	`add-cube-cbrt_binary64_17163`
12×	`cancel-sign-sub-inv_binary64_17094`
9×	`times-frac_binary64_17134`
8×	`associate-+r+_binary64_17060` `distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077`
7×	`add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166`
5×	`associate-r_binary64_17068` `pow1_binary64_17189` `add-log-exp_binary64_17167`
4×	`sub-neg_binary64_17121`
3×	`flip-+_binary64_17102` `associate-/l_binary64_17073` `associate-/r_binary64_17072` `associate-l_binary64_17069` `flip3-+_binary64_17131`
2×	`associate-*r/_binary64_17070` `associate-/r/_binary64_17074` `associate-/l/_binary64_17075`
1×	`difference-of-squares_binary64_17097` `clear-num_binary64_17127` `cbrt-undiv_binary64_17162` `cbrt-unprod_binary64_17161` `flip--_binary64_17103` `prod-exp_binary64_17177` `frac-2neg_binary64_17139` `unswap-sqr_binary64_17096` `+-commutative_binary64_17058` `div-exp_binary64_17179` `*-commutative_binary64_17059` `distribute-lft-out--_binary64_17080` `flip3--_binary64_17132` `sum-log_binary64_17219` `pow-prod-down_binary64_17199` `div-inv_binary64_17125`

Counts

3 → 80

Calls

3 calls:

8.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
8.0ms	(*.f64 z (-.f64 t a))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))

series511.0ms (5.5%)

Counts

3 → 9

Calls

3 calls:

434.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
47.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
30.0ms	(*.f64 z (-.f64 t a))

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5227	1813

prune106.0ms (1.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	78	11	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	12	90

Error

23.6b

Counts

90 → 12

Compiler

Compiled 2505 to 467 computations (81.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 t a))
0.0b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
0.4b	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
23.2b	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))

rewrite47.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64_17150`
29×	`*-un-lft-identity_binary64_17128`
26×	`add-cube-cbrt_binary64_17163`
20×	`associate-r_binary64_17068` `times-frac_binary64_17134`
19×	`add-exp-log_binary64_17166`
13×	`add-cbrt-cube_binary64_17164`
12×	`cancel-sign-sub-inv_binary64_17094`
9×	`pow1_binary64_17189`
8×	`associate-+r+_binary64_17060` `distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077`
6×	`add-log-exp_binary64_17167` `associate-l_binary64_17069`
5×	`flip-+_binary64_17102` `prod-exp_binary64_17177` `flip3-+_binary64_17131`
4×	`associate-/r/_binary64_17074` `unswap-sqr_binary64_17096` `sub-neg_binary64_17121` `div-exp_binary64_17179`
3×	`associate-r/_binary64_17070` `cbrt-unprod_binary64_17161` `associate-/l_binary64_17073` `associate-/r*_binary64_17072`
2×	`cbrt-undiv_binary64_17162` `1-exp_binary64_17172` `rec-exp_binary64_17178` `associate-l/_binary64_17071` `frac-times_binary64_17138` `-commutative_binary64_17059` `pow-prod-down_binary64_17199` `div-inv_binary64_17125`
1×	`pow-flip_binary64_17202` `difference-of-squares_binary64_17097` `clear-num_binary64_17127` `flip--_binary64_17103` `frac-2neg_binary64_17139` `+-commutative_binary64_17058` `un-div-inv_binary64_17126` `distribute-lft-out--_binary64_17080` `flip3--_binary64_17132` `sum-log_binary64_17219` `inv-pow_binary64_17213`

Counts

4 → 124

Calls

4 calls:

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

series577.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

425.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))
71.0ms	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
50.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
31.0ms	(*.f64 z (-.f64 t a))

simplify87.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5005	2604

prune126.0ms (1.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	136	12	148

Error

23.6b

Counts

148 → 12

Compiler

Compiled 3769 to 844 computations (77.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 t a))
0.0b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
0.3b	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a)))))
23.4b	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a))))

rewrite51.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_17134`
66×	`add-sqr-sqrt_binary64_17150`
64×	`*-un-lft-identity_binary64_17128`
62×	`add-cube-cbrt_binary64_17163`
19×	`add-exp-log_binary64_17166`
18×	`associate-/r*_binary64_17072`
13×	`add-cbrt-cube_binary64_17164`
12×	`cancel-sign-sub-inv_binary64_17094`
11×	`associate-/r/_binary64_17074`
8×	`associate-+r+_binary64_17060` `distribute-rgt-in_binary64_17078` `div-exp_binary64_17179` `distribute-lft-in_binary64_17077`
7×	`flip-+_binary64_17102` `pow1_binary64_17189` `flip3-+_binary64_17131`
6×	`associate-/l*_binary64_17073` `add-log-exp_binary64_17167` `div-inv_binary64_17125`
5×	`associate-r_binary64_17068`
4×	`cbrt-undiv_binary64_17162` `sub-neg_binary64_17121`
3×	`associate-l_binary64_17069`
2×	`associate-*r/_binary64_17070` `clear-num_binary64_17127` `1-exp_binary64_17172` `rec-exp_binary64_17178` `frac-2neg_binary64_17139` `associate-/l/_binary64_17075`
1×	`pow-flip_binary64_17202` `difference-of-squares_binary64_17097` `cbrt-unprod_binary64_17161` `flip--_binary64_17103` `prod-exp_binary64_17177` `unswap-sqr_binary64_17096` `+-commutative_binary64_17058` `*-commutative_binary64_17059` `distribute-lft-out--_binary64_17080` `flip3--_binary64_17132` `sum-log_binary64_17219` `pow-prod-down_binary64_17199` `inv-pow_binary64_17213`

Counts

4 → 164

Calls

4 calls:

11.0ms	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a)))))
9.0ms	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a))))
8.0ms	(*.f64 z (-.f64 t a))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))

series1.3s (13.9%)

Counts

4 → 12

Calls

4 calls:

912.0ms	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a)))))
300.0ms	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a))))
48.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
29.0ms	(*.f64 z (-.f64 t a))

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5079	5593

prune173.0ms (1.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	174	2	176
Fresh	1	8	9
Picked	1	0	1
Done	0	2	2
Total	176	12	188

Error

23.6b

Counts

188 → 12

Compiler

Compiled 5606 to 992 computations (82.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 y x) (.f64 z (-.f64 t a)))
0.2b	(/.f64 1 (/.f64 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y)))))
0.3b	(/.f64 1 (/.f64 1 (/.f64 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))))
23.4b	(/.f64 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

rewrite106.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

528×	`times-frac_binary64_17134`
257×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
68×	`associate-/r*_binary64_17072`
60×	`add-exp-log_binary64_17166`
43×	`div-exp_binary64_17179`
40×	`associate-/r/_binary64_17074`
23×	`div-inv_binary64_17125`
20×	`add-cbrt-cube_binary64_17164`
19×	`flip-+_binary64_17102` `flip3-+_binary64_17131`
15×	`1-exp_binary64_17172` `rec-exp_binary64_17178`
10×	`cbrt-undiv_binary64_17162`
9×	`associate-/l*_binary64_17073`
8×	`associate-+r+_binary64_17060`
7×	`pow1_binary64_17189`
6×	`add-log-exp_binary64_17167` `cancel-sign-sub-inv_binary64_17094`
5×	`pow-flip_binary64_17202`
4×	`distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077`
3×	`clear-num_binary64_17127` `frac-2neg_binary64_17139` `inv-pow_binary64_17213`
2×	`associate-/l/_binary64_17075` `sub-neg_binary64_17121`
1×	`+-commutative_binary64_17058` `sum-log_binary64_17219` `remove-double-div_binary64_17104`

Counts

4 → 377

Calls

4 calls:

24.0ms	(/.f64 1 (/.f64 1 (/.f64 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))))
10.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y)))))
9.0ms	(/.f64 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
6.0ms	(+.f64 (.f64 y x) (.f64 z (-.f64 t a)))

series1.5s (16.6%)

Counts

4 → 12

Calls

4 calls:

660.0ms	(/.f64 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
657.0ms	(/.f64 1 (/.f64 1 (/.f64 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))))
169.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y)))))
50.0ms	(+.f64 (.f64 y x) (.f64 z (-.f64 t a)))

simplify200.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

389 → 389

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4972	16735
1	4972	16735

prune376.0ms (4.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	389	0	389
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	389	12	401

Error

23.6b

Counts

401 → 12

Compiler

Compiled 13743 to 2128 computations (84.5% saved)

regimes593.0ms (6.4%)

Accuracy

Total 0.7b remaining (2.8%)

Threshold costs 0.7b (2.8%)

Compiler

Compiled 8996 to 5202 computations (42.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	25
1	38	25

end0.0ms (0%)

sample1.4s (15.5%)

Algorithm

1×

intervals

Results

430.0ms	8000×	body	128	valid
21.0ms	406×	body	128	invalid

Compiler

Compiled 1178 to 688 computations (41.6% saved)

Details

analyze1.7s (18.3%)

sample26.0ms (0.3%)

simplify97.0ms (1%)

prune3.0ms (0%)

localize12.0ms (0.1%)

rewrite28.0ms (0.3%)

series511.0ms (5.5%)

simplify59.0ms (0.6%)

prune106.0ms (1.1%)

localize13.0ms (0.1%)

rewrite47.0ms (0.5%)

series577.0ms (6.2%)

simplify87.0ms (0.9%)

prune126.0ms (1.4%)

localize14.0ms (0.2%)

rewrite51.0ms (0.5%)

series1.3s (13.9%)

simplify96.0ms (1%)

prune173.0ms (1.9%)

localize15.0ms (0.2%)

rewrite106.0ms (1.1%)

series1.5s (16.6%)

simplify200.0ms (2.2%)

prune376.0ms (4.1%)

regimes593.0ms (6.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.4s (15.5%)

Profiling