Details

analyze361.0ms (18%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	40
1	134	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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.4%	11.4%	12
61.3%	24.7%	14%	13
65%	19.9%	15.1%	14

Symmetry

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	52	10
1	52	10

prune2.0ms (0.1%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite36.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
4×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-log-exp_binary64_4209` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205` `associate-r_binary64_4110`
3×	`associate-l_binary64_4111`
2×	`distribute-rgt-in_binary64_4120` `distribute-lft-in_binary64_4119` `flip3-+_binary64_4173` `associate-*r/_binary64_4112` `flip-+_binary64_4144` `associate-+r+_binary64_4102`
1×	`pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `unswap-sqr_binary64_4138` `distribute-lft-out_binary64_4121` `*-commutative_binary64_4101` `sum-log_binary64_4261` `+-commutative_binary64_4100`

Counts

2 → 36

Calls

2 calls:

8.0ms	(*.f64 y (+.f64 z x))
3.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

Compiler

Compiled 491 to 140 computations (71.5% saved)

series212.0ms (10.6%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

111.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
84.0ms	(*.f64 y (+.f64 z x))

Compiler

Compiled 598 to 338 computations (43.5% saved)

simplify72.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4971	641
1	4971	641

prune38.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	2	70

Error

0.0b

Counts

70 → 2

Compiler

Compiled 649 to 135 computations (79.2% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x z))
0.0b	(sqrt.f64 (+.f64 z x))
0.1b	(*.f64 y (sqrt.f64 (+.f64 x z)))
0.2b	(.f64 (.f64 y (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 z x)))

rewrite100.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`*-un-lft-identity_binary64_4170`
18×	`sqrt-div_binary64_4187`
17×	`add-sqr-sqrt_binary64_4192` `sqrt-prod_binary64_4186`
14×	`associate-r_binary64_4110`
13×	`pow1_binary64_4231`
11×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205`
10×	`associate-*r/_binary64_4112`
9×	`flip3-+_binary64_4173` `flip-+_binary64_4144`
4×	`pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `add-log-exp_binary64_4209` `cbrt-unprod_binary64_4203` `frac-times_binary64_4180` `associate-l_binary64_4111` `distribute-lft-out_binary64_4121`
2×	`associate-l/_binary64_4113` `-commutative_binary64_4101` `unswap-sqr_binary64_4138` `pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `rem-sqrt-square_binary64_4183`

Counts

4 → 87

Calls

4 calls:

13.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 z x)))
7.0ms	(*.f64 y (sqrt.f64 (+.f64 x z)))
3.0ms	(sqrt.f64 (+.f64 z x))
3.0ms	(sqrt.f64 (+.f64 x z))

Compiler

Compiled 1836 to 432 computations (76.5% saved)

series270.0ms (13.5%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

88.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 z x)))
88.0ms	(*.f64 y (sqrt.f64 (+.f64 x z)))
38.0ms	(sqrt.f64 (+.f64 z x))
35.0ms	(sqrt.f64 (+.f64 x z))

Compiler

Compiled 1508 to 935 computations (38% saved)

simplify82.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5456	1405

prune76.0ms (3.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	129	2	131

Error

0.0b

Counts

131 → 2

Compiler

Compiled 1998 to 446 computations (77.7% saved)

regimes81.0ms (4%)

Accuracy

Total 0.0b remaining (37.3%)

Threshold costs 0.0b (37.3%)

Compiler

Compiled 388 to 366 computations (5.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

Removed

()

end0.0ms (0%)

sample629.0ms (31.4%)

Algorithm

1×

intervals

Results

198.0ms	8000×	body	128	valid
13.0ms	584×	body	128	invalid

Compiler

Compiled 107 to 100 computations (6.5% saved)

Details

analyze361.0ms (18%)

sample17.0ms (0.9%)

simplify9.0ms (0.4%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite36.0ms (1.8%)

series212.0ms (10.6%)

simplify72.0ms (3.6%)

prune38.0ms (1.9%)

localize10.0ms (0.5%)

rewrite100.0ms (5%)

series270.0ms (13.5%)

simplify82.0ms (4.1%)

prune76.0ms (3.8%)

regimes81.0ms (4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample629.0ms (31.4%)

Profiling