Details

analyze417.0ms (6.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5216	32
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
12.5%	87.4%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.7%	0.1%	6
67.1%	32.8%	0.1%	7
71%	28.9%	0.1%	8
82.3%	17.6%	0.1%	9
84.9%	15%	0.1%	10
90.8%	9.1%	0.1%	11
92.2%	7.7%	0.1%	12
95.3%	4.6%	0.1%	13
96%	3.9%	0.1%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample19.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	205×	body	128	valid
2.0ms	17×	body	1024	valid
2.0ms	21×	body	512	valid
1.0ms	13×	body	256	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify193.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (184.0ms)

Iter	Nodes	Cost
0	4852	16
1	4852	16

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

Error

22.2b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) y)
1.9b	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
8.7b	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

rewrite120.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

12.5b

Rules

21×	`*-un-lft-identity_binary64_16787`
17×	`add-sqr-sqrt_binary64_16809`
10×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823` `cancel-sign-sub-inv_binary64_16753`
9×	`add-cube-cbrt_binary64_16822`
8×	`times-frac_binary64_16793`
6×	`associate-l_binary64_16728`
5×	`pow1_binary64_16848` `add-log-exp_binary64_16826`
4×	`associate-l/_binary64_16730` `associate-/r/_binary64_16733` `associate-/r_binary64_16731` `difference-of-squares_binary64_16756`
3×	`distribute-lft-out_binary64_16738` `flip3--_binary64_16791` `flip--_binary64_16762` `associate-r_binary64_16727`
2×	`prod-exp_binary64_16836` `div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `cbrt-unprod_binary64_16820` `div-inv_binary64_16784` `associate-/l/_binary64_16734` `flip3-+_binary64_16790` `flip-+_binary64_16761` `distribute-lft-out--_binary64_16739`
1×	`frac-2neg_binary64_16798` `clear-num_binary64_16786` `associate-/l_binary64_16732` `diff-log_binary64_16879` `sub-neg_binary64_16780` `pow-prod-down_binary64_16858` `unswap-sqr_binary64_16755` `-commutative_binary64_16718`

Counts

3 → 74

Calls

3 calls:

9.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
8.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
7.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 1435 to 1072 computations (25.3% saved)

series347.0ms (5.1%)

Error

0.0b

Counts

3 → 45

Calls

3 calls:

136.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
110.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
60.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 1482 to 1094 computations (26.2% saved)

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5272	1940

prune101.0ms (1.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	3	120

Error

0.0b

Counts

120 → 3

Compiler

Compiled 1900 to 1145 computations (39.7% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

8.7b	(/.f64 (*.f64 y x) (+.f64 y 1))

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`*-un-lft-identity_binary64_16787`
6×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
4×	`times-frac_binary64_16793` `associate-/r*_binary64_16731`
3×	`add-cube-cbrt_binary64_16822` `add-sqr-sqrt_binary64_16809`
2×	`div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `distribute-lft-out_binary64_16738` `associate-/r/_binary64_16733`
1×	`pow1_binary64_16848` `prod-exp_binary64_16836` `add-log-exp_binary64_16826` `cbrt-unprod_binary64_16820` `frac-2neg_binary64_16798` `clear-num_binary64_16786` `div-inv_binary64_16784` `flip3-+_binary64_16790` `flip-+_binary64_16761` `associate-/l*_binary64_16732`

Counts

1 → 25

Calls

1 calls:

6.0ms

(/.f64 (*.f64 y x) (+.f64 y 1))

Compiler

Compiled 417 to 280 computations (32.9% saved)

series92.0ms (1.3%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

80.0ms

(/.f64 (*.f64 y x) (+.f64 y 1))

Compiler

Compiled 394 to 287 computations (27.2% saved)

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5117	486

prune29.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Error

0.0b

Counts

43 → 3

Compiler

Compiled 573 to 356 computations (37.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (*.f64 y y))
2.4b	(+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y)))
4.8b	(-.f64 (+.f64 x (+.f64 (/.f64 1 y) (/.f64 x (.f64 y y)))) (+.f64 (/.f64 x y) (/.f64 1 (.f64 y y))))
6.8b	(/.f64 x (*.f64 y y))

rewrite189.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

57×	`*-un-lft-identity_binary64_16787`
27×	`add-log-exp_binary64_16826` `distribute-lft-out_binary64_16738`
20×	`add-exp-log_binary64_16825`
14×	`add-cbrt-cube_binary64_16823`
13×	`div-inv_binary64_16784`
12×	`pow1_binary64_16848` `distribute-lft-out--_binary64_16739`
11×	`add-sqr-sqrt_binary64_16809`
10×	`sum-log_binary64_16878`
9×	`add-cube-cbrt_binary64_16822`
8×	`times-frac_binary64_16793`
6×	`div-exp_binary64_16838` `associate-/l*_binary64_16732` `diff-log_binary64_16879` `flip3-+_binary64_16790` `frac-sub_binary64_16796` `flip-+_binary64_16761` `cancel-sign-sub-inv_binary64_16753` `pow-flip_binary64_16861`
4×	`prod-exp_binary64_16836` `cbrt-undiv_binary64_16821`
3×	`frac-add_binary64_16795`
2×	`cbrt-unprod_binary64_16820` `frac-2neg_binary64_16798` `clear-num_binary64_16786` `associate-/r*_binary64_16731` `distribute-rgt-out_binary64_16740` `1-exp_binary64_16831` `rec-exp_binary64_16837`
1×	`flip3--_binary64_16791` `sub-neg_binary64_16780` `flip--_binary64_16762` `difference-of-squares_binary64_16756` `associate--l+_binary64_16724` `associate--r+_binary64_16723` `+-commutative_binary64_16717` `inv-pow_binary64_16872` `pow2_binary64_16868` `pow-prod-down_binary64_16858` `pow-prod-up_binary64_16857` `pow-plus_binary64_16850` `pow-sqr_binary64_16760`

Counts

4 → 111

Calls

4 calls:

29.0ms	(-.f64 (+.f64 x (+.f64 (/.f64 1 y) (/.f64 x (.f64 y y)))) (+.f64 (/.f64 x y) (/.f64 1 (.f64 y y))))
10.0ms	(+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y)))
5.0ms	(/.f64 1 (*.f64 y y))
4.0ms	(/.f64 x (*.f64 y y))

Compiler

Compiled 3603 to 1529 computations (57.6% saved)

series451.0ms (6.6%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

229.0ms	(-.f64 (+.f64 x (+.f64 (/.f64 1 y) (/.f64 x (.f64 y y)))) (+.f64 (/.f64 x y) (/.f64 1 (.f64 y y))))
103.0ms	(+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y)))
74.0ms	(/.f64 x (*.f64 y y))
18.0ms	(/.f64 1 (*.f64 y y))

Compiler

Compiled 1677 to 1114 computations (33.6% saved)

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5108	2791

prune150.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	145	2	147
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	145	5	150

Error

0.0b

Counts

150 → 5

Compiler

Compiled 3631 to 1703 computations (53.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
0.0b	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
0.1b	(.f64 (+.f64 1 (sqrt.f64 (.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))))
1.9b	(-.f64 1 (sqrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))))

rewrite413.0ms (6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

57×	`*-un-lft-identity_binary64_16787`
55×	`add-sqr-sqrt_binary64_16809`
40×	`associate-l_binary64_16728`
31×	`add-cube-cbrt_binary64_16822`
26×	`times-frac_binary64_16793`
24×	`cancel-sign-sub-inv_binary64_16753`
18×	`associate-r_binary64_16727`
16×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
13×	`distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736`
10×	`pow1_binary64_16848`
8×	`flip3--_binary64_16791` `flip--_binary64_16762` `difference-of-squares_binary64_16756` `frac-times_binary64_16797`
7×	`sub-neg_binary64_16780` `distribute-lft-out_binary64_16738`
6×	`add-log-exp_binary64_16826` `associate-*r/_binary64_16729`
5×	`prod-exp_binary64_16836` `cbrt-unprod_binary64_16820` `flip3-+_binary64_16790` `flip-+_binary64_16761` `unswap-sqr_binary64_16755`
4×	`distribute-lft-out--_binary64_16739` `associate-*l/_binary64_16730` `associate-/r/_binary64_16733`
3×	`sqrt-prod_binary64_16803` `pow-prod-down_binary64_16858` `*-commutative_binary64_16718`
2×	`div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `div-inv_binary64_16784`
1×	`diff-log_binary64_16879`

Counts

4 → 162

Calls

4 calls:

14.0ms	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
14.0ms	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
10.0ms	(.f64 (+.f64 1 (sqrt.f64 (.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))))
4.0ms	(-.f64 1 (sqrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))))

Compiler

Compiled 6229 to 4693 computations (24.7% saved)

series951.0ms (13.9%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

368.0ms	(.f64 (+.f64 1 (sqrt.f64 (.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))))
245.0ms	(-.f64 1 (sqrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))))
119.0ms	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
119.0ms	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))

Compiler

Compiled 4936 to 3894 computations (21.1% saved)

simplify94.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

225 → 225

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5086	6138

prune439.0ms (6.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	224	1	225
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	224	6	230

Error

0.0b

Counts

230 → 6

Compiler

Compiled 7615 to 5589 computations (26.6% saved)

regimes836.0ms (12.2%)

Accuracy

Total 0.0b remaining (47.2%)

Threshold costs 0.0b (47.2%)

Compiler

Compiled 6066 to 4839 computations (20.2% saved)

bsearch47.0ms (0.7%)

Steps

Iters	Range		Point
9	1531.9866717098612	19360039901.525375	195088.09069458197
9	-15996028602278648.0	-117957156.34537654	-119727822.23598845

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	330	76
1	330	76

end0.0ms (0%)

sample1.7s (24.4%)

Algorithm

1×

intervals

Results

217.0ms	6210×	body	128	valid
72.0ms	617×	body	1024	valid
64.0ms	731×	body	512	valid
26.0ms	438×	body	256	valid
1.0ms	4×	body	2048	valid

Compiler

Compiled 1231 to 967 computations (21.4% saved)

Details

analyze417.0ms (6.1%)

sample19.0ms (0.3%)

simplify193.0ms (2.8%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite120.0ms (1.8%)

series347.0ms (5.1%)

simplify69.0ms (1%)

prune101.0ms (1.5%)

localize6.0ms (0.1%)

rewrite29.0ms (0.4%)

series92.0ms (1.3%)

simplify61.0ms (0.9%)

prune29.0ms (0.4%)

localize11.0ms (0.2%)

rewrite189.0ms (2.8%)

series451.0ms (6.6%)

simplify76.0ms (1.1%)

prune150.0ms (2.2%)

localize11.0ms (0.2%)

rewrite413.0ms (6%)

series951.0ms (13.9%)

simplify94.0ms (1.4%)

prune439.0ms (6.4%)

regimes836.0ms (12.2%)

bsearch47.0ms (0.7%)

simplify11.0ms (0.2%)

end0.0ms (0%)

sample1.7s (24.4%)

Profiling