Details

analyze43.0ms (3.2%)

Algorithm

1×

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
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample25.0ms (1.8%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify8.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	7

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 x (+.f64 y x))

Compiler

Compiled 26 to 14 computations (46.2% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))

series9.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

8.0ms

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

rewrite5.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
4×	`associate-/r*_binary64`

Counts

1 → 35

Calls

1 calls:

3.0ms

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

simplify45.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

614×	`fma-def_binary64`
547×	`associate-/r*_binary64`
430×	`associate-/l/_binary64`
325×	`associate-/r/_binary64`
276×	`cancel-sign-sub-inv_binary64`

Counts

59 → 68

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	914
1	184	884
2	477	833
3	1577	791
4	4946	791

prune29.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	3	69

Error

Counts

69 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))
▶	1.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (+.f64 y x)))) (/.f64 x (cbrt.f64 (+.f64 y x))))
	31.2b	(-.f64 1 (/.f64 y x))

Compiler

Compiled 903 to 294 computations (67.4% saved)

localize8.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (+.f64 y x)))) (/.f64 x (cbrt.f64 (+.f64 y x))))
✓	0.3b	(/.f64 1 (*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (+.f64 y x))))
✓	0.5b	(*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (+.f64 y x)))
✓	0.5b	(cbrt.f64 (+.f64 y x))

series95.0ms (7.1%)

Counts

4 → 96

Calls

4 calls:

33.0ms	(/.f64 1 (*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (+.f64 y x))))
30.0ms	(*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (+.f64 y x)))
22.0ms	(cbrt.f64 (+.f64 y x))
9.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (+.f64 y x)))) (/.f64 x (cbrt.f64 (+.f64 y x))))

rewrite67.0ms (5%)

Algorithm

1×	rewrite-expression-head

Rules

62×	`add-exp-log_binary64`
60×	`add-sqr-sqrt_binary64`
56×	`*-un-lft-identity_binary64`
43×	`cbrt-prod_binary64`
40×	`cbrt-div_binary64`

Counts

4 → 201

Calls

4 calls:

25.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (+.f64 y x)))) (/.f64 x (cbrt.f64 (+.f64 y x))))
11.0ms	(*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (+.f64 y x)))
9.0ms	(/.f64 1 (*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (+.f64 y x))))
2.0ms	(cbrt.f64 (+.f64 y x))

simplify223.0ms (16.6%)

Algorithm

1×	egg-herbie

Rules

810×	`fma-def_binary64`
326×	`associate-r_binary64`
267×	`fma-neg_binary64`
234×	`associate-l_binary64`
215×	`unswap-sqr_binary64`

Counts

297 → 368

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	383	7827
1	992	6537
2	3506	5946
3	4915	5946
4	4986	5946
5	4955	5946

prune245.0ms (18.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	484	0	484
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	484	3	487

Error

Counts

487 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))
✓	1.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (+.f64 y x)))) (/.f64 x (cbrt.f64 (+.f64 y x))))
▶	31.2b	(-.f64 1 (/.f64 y x))

Compiler

Compiled 13869 to 5001 computations (63.9% saved)

localize3.0ms (0.2%)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))
✓	1.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (+.f64 y x)))) (/.f64 x (cbrt.f64 (+.f64 y x))))
✓	31.2b	(-.f64 1 (/.f64 y x))

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes110.0ms (8.2%)

Accuracy

Total 0.0b remaining (37.4%)

Threshold costs 0.0b (37.4%)

Counts

21 → 1

Compiler

Compiled 959 to 541 computations (43.6% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	7

end0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

sample419.0ms (31.3%)

Algorithm

1×

intervals

Results

189.0ms

8000×

body

128

valid

Compiler

Compiled 51 to 29 computations (43.1% saved)

Details

analyze43.0ms (3.2%)

sample25.0ms (1.8%)

simplify8.0ms (0.6%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

series9.0ms (0.6%)

rewrite5.0ms (0.4%)

simplify45.0ms (3.3%)

prune29.0ms (2.1%)

localize8.0ms (0.6%)

series95.0ms (7.1%)

rewrite67.0ms (5%)

simplify223.0ms (16.6%)

prune245.0ms (18.2%)

localize3.0ms (0.2%)

prune2.0ms (0.1%)

regimes110.0ms (8.2%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample419.0ms (31.3%)

Profiling