Details

analyze593.0ms (14.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1429	40
1	1429	40
0	3	3
1	3	3

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

Symmetry

(sort x y)

Compiler

Compiled 8 to 8 computations (0% saved)

sample24.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	30×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify33.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	569	10
1	569	10

prune2.0ms (0.1%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))

rewrite65.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
6×	`cancel-sign-sub-inv_binary64_726` `associate-r_binary64_700`
5×	`add-cube-cbrt_binary64_795`
4×	`frac-times_binary64_770` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `associate-l_binary64_701`
3×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `flip3--_binary64_764` `flip3-+_binary64_763` `flip--_binary64_735` `flip-+_binary64_734`
2×	`sub-neg_binary64_753` `associate-l/_binary64_703` `associate-r/_binary64_702` `difference-of-squares_binary64_729`
1×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `distribute-lft-out_binary64_711` `distribute-lft-out--_binary64_712` `*-commutative_binary64_691`

Counts

1 → 38

Calls

1 calls:

10.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

Compiler

Compiled 584 to 289 computations (50.5% saved)

series189.0ms (4.6%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

183.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

Compiler

Compiled 276 to 215 computations (22.1% saved)

simplify55.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4978	732
1	4978	732

prune46.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	3	57

Error

Counts

57 → 3

Compiler

Compiled 464 to 242 computations (47.8% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 z (+.f64 y x))
0.0b	(+.f64 (+.f64 y x) (neg.f64 (*.f64 z (+.f64 y x))))

rewrite83.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`*-un-lft-identity_binary64_760`
12×	`add-log-exp_binary64_799`
6×	`sum-log_binary64_851` `add-sqr-sqrt_binary64_782` `flip3-+_binary64_763` `associate-*r/_binary64_702` `flip-+_binary64_734`
5×	`distribute-lft-out_binary64_711`
4×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795` `distribute-neg-frac_binary64_724` `frac-add_binary64_768` `associate-r_binary64_700`
3×	`distribute-lft-neg-in_binary64_717` `associate-l_binary64_701`
2×	`neg-log_binary64_853` `distribute-rgt-out_binary64_713` `distribute-rgt-in_binary64_710` `distribute-neg-in_binary64_721` `associate-+r+_binary64_692` `distribute-lft-in_binary64_709`
1×	`unsub-neg_binary64_754` `distribute-rgt1-in_binary64_716` `neg-sub0_binary64_755` `associate-+r-_binary64_694` `associate-+l+_binary64_693` `+-commutative_binary64_690` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `*-commutative_binary64_691`

Counts

2 → 51

Calls

2 calls:

7.0ms	(+.f64 (+.f64 y x) (neg.f64 (*.f64 z (+.f64 y x))))
6.0ms	(*.f64 z (+.f64 y x))

Compiler

Compiled 884 to 228 computations (74.2% saved)

series375.0ms (9.2%)

Error

Counts

2 → 33

Calls

2 calls:

228.0ms	(+.f64 (+.f64 y x) (neg.f64 (*.f64 z (+.f64 y x))))
127.0ms	(*.f64 z (+.f64 y x))

Compiler

Compiled 605 to 437 computations (27.8% saved)

simplify70.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5164	960

prune75.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Error

Counts

87 → 3

Compiler

Compiled 737 to 255 computations (65.4% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite238.0ms (5.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`sqrt-div_binary64_777`
32×	`frac-times_binary64_770`
29×	`add-sqr-sqrt_binary64_782`
25×	`*-un-lft-identity_binary64_760` `sqrt-prod_binary64_776`
23×	`flip3--_binary64_764` `flip--_binary64_735`
18×	`associate-r_binary64_700`
16×	`associate-*l/_binary64_703`
13×	`pow1_binary64_821`
12×	`flip3-+_binary64_763` `flip-+_binary64_734`
11×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795`
10×	`associate-*r/_binary64_702`
8×	`difference-of-squares_binary64_729`
5×	`associate-l_binary64_701`
4×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `distribute-lft-out--_binary64_712`
2×	`unswap-sqr_binary64_728` `*-commutative_binary64_691` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773`
1×	`distribute-lft-out_binary64_711`

Counts

4 → 120

Calls

4 calls:

16.0ms	(.f64 (.f64 (+.f64 y x) (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 z)))
12.0ms	(*.f64 (+.f64 y x) (sqrt.f64 (-.f64 1 z)))
3.0ms	(sqrt.f64 (-.f64 1 z))
3.0ms	(sqrt.f64 (-.f64 1 z))

Compiler

Compiled 2780 to 1756 computations (36.8% saved)

series495.0ms (12.1%)

Error

Counts

4 → 48

Calls

4 calls:

229.0ms	(*.f64 (+.f64 y x) (sqrt.f64 (-.f64 1 z)))
183.0ms	(.f64 (.f64 (+.f64 y x) (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 z)))
26.0ms	(sqrt.f64 (-.f64 1 z))
24.0ms	(sqrt.f64 (-.f64 1 z))

Compiler

Compiled 1334 to 1065 computations (20.2% saved)

simplify67.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5414	2749

prune175.0ms (4.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	168	3	171

Error

Counts

171 → 3

Compiler

Compiled 2177 to 1291 computations (40.7% saved)

regimes916.0ms (22.5%)

Accuracy

Total 0.0b remaining (71.3%)

Threshold costs 0.0b (71.3%)

Compiler

Compiled 7453 to 6223 computations (16.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

end7.0ms (0.2%)

Remove: (sort x y)
Compiler: Compiled 21 to 21 computations (0% saved)

sample548.0ms (13.4%)

Algorithm

1×

intervals

Results

189.0ms	7999×	body	128	valid
12.0ms	567×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 48 to 56 computations (-16.7% saved)

Details

analyze593.0ms (14.6%)

sample24.0ms (0.6%)

simplify33.0ms (0.8%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite65.0ms (1.6%)

series189.0ms (4.6%)

simplify55.0ms (1.4%)

prune46.0ms (1.1%)

localize8.0ms (0.2%)

rewrite83.0ms (2%)

series375.0ms (9.2%)

simplify70.0ms (1.7%)

prune75.0ms (1.8%)

localize7.0ms (0.2%)

rewrite238.0ms (5.8%)

series495.0ms (12.1%)

simplify67.0ms (1.6%)

prune175.0ms (4.3%)

regimes916.0ms (22.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end7.0ms (0.2%)

sample548.0ms (13.4%)

Profiling