Details

analyze1.3s (28.5%)

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.1%	0.9%	9
0%	98.1%	1.9%	10
0%	97.7%	2.3%	11
0%	96.8%	3.2%	12
0%	95.1%	4.9%	13
0%	94.6%	5.4%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.8s (37.7%)

Results

990.0ms	8256×	body	128	valid
626.0ms	1103×	body	8192	exit
61.0ms	556×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify56.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

823×	`div-sub_binary64`
529×	`fma-neg_binary64`
475×	`distribute-rgt-in_binary64`
409×	`fma-def_binary64`
380×	`distribute-lft-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	25	11
2	50	11
3	156	11
4	331	11
5	666	11
6	1744	11
7	3988	11
8	4953	11

prune3.0ms (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

9.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	9.1b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

Compiler

Compiled 44 to 26 computations (40.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 (-.f64 y z) 1))
✓	8.5b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

series23.0ms (0.5%)

Counts

2 → 72

Calls

2 calls:

16.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
7.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`

Counts

2 → 51

Calls

2 calls:

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

simplify70.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

555×	`distribute-rgt-in_binary64`
538×	`distribute-lft-in_binary64`
516×	`associate-/l*_binary64`
469×	`times-frac_binary64`
227×	`fma-def_binary64`

Counts

123 → 102

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	1568
1	273	1257
2	1027	1253
3	4803	1253
4	4971	1253

prune68.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	5	102
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	97	6	103

Error

Counts

103 → 6

Alt Table

Status	Error	Program
	29.2b	(/.f64 (.f64 (.f64 x (sqrt.f64 (+.f64 (-.f64 y z) 1))) (sqrt.f64 (+.f64 (-.f64 y z) 1))) z)
✓	9.1b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
	9.2b	(.f64 (.f64 x (+.f64 (-.f64 y z) 1)) (/.f64 1 z))
▶	2.4b	(*.f64 x (/.f64 (-.f64 (+.f64 1 y) z) z))
	33.0b	(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (+.f64 (-.f64 y z) 1) (sqrt.f64 z)))
	6.7b	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (+.f64 (-.f64 y z) 1) (cbrt.f64 z)))

Compiler

Compiled 1591 to 722 computations (54.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (+.f64 1 y) z) z)
✓	2.3b	(*.f64 x (/.f64 (-.f64 (+.f64 1 y) z) z))

series25.0ms (0.5%)

Counts

2 → 60

Calls

2 calls:

18.0ms	(*.f64 x (/.f64 (-.f64 (+.f64 1 y) z) z))
6.0ms	(/.f64 (-.f64 (+.f64 1 y) z) z)

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`*-un-lft-identity_binary64`
43×	`add-sqr-sqrt_binary64`
37×	`times-frac_binary64`
24×	`add-cube-cbrt_binary64`
22×	`associate-r_binary64`

Counts

2 → 87

Calls

2 calls:

13.0ms	(*.f64 x (/.f64 (-.f64 (+.f64 1 y) z) z))
7.0ms	(/.f64 (-.f64 (+.f64 1 y) z) z)

simplify106.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

515×	`associate-/r/_binary64`
315×	`distribute-rgt-in_binary64`
307×	`distribute-lft-in_binary64`
280×	`associate-l_binary64`
257×	`associate-*l/_binary64`

Counts

147 → 127

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	130	2231
1	302	2099
2	970	2001
3	3098	2001
4	4539	2000
5	4959	2000

prune79.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	128	5	133

Error

Counts

133 → 5

Alt Table

Status	Error	Program
▶	2.4b	(*.f64 x (-.f64 (/.f64 (+.f64 1 y) z) 1))
✓	9.1b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
	29.2b	(/.f64 (.f64 (.f64 x (sqrt.f64 (+.f64 (-.f64 y z) 1))) (sqrt.f64 (+.f64 (-.f64 y z) 1))) z)
	9.2b	(.f64 (.f64 x (+.f64 (-.f64 y z) 1)) (/.f64 1 z))
	33.0b	(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (+.f64 (-.f64 y z) 1) (sqrt.f64 z)))

Compiler

Compiled 2218 to 1267 computations (42.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 y) z)
✓	2.3b	(*.f64 x (-.f64 (/.f64 (+.f64 1 y) z) 1))

series29.0ms (0.6%)

Counts

2 → 48

Calls

2 calls:

22.0ms	(*.f64 x (-.f64 (/.f64 (+.f64 1 y) z) 1))
7.0ms	(/.f64 (+.f64 1 y) z)

rewrite39.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

143×	`*-un-lft-identity_binary64`
108×	`add-sqr-sqrt_binary64`
96×	`prod-diff_binary64`
95×	`add-cube-cbrt_binary64`
87×	`times-frac_binary64`

Counts

2 → 168

Calls

2 calls:

13.0ms	(*.f64 x (-.f64 (/.f64 (+.f64 1 y) z) 1))
5.0ms	(/.f64 (+.f64 1 y) z)

simplify179.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

484×	`associate-/r*_binary64`
460×	`associate-/l/_binary64`
456×	`fma-neg_binary64`
342×	`associate-/r/_binary64`
339×	`associate-l_binary64`

Counts

216 → 203

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	4691
1	331	4333
2	888	3240
3	2452	2917
4	4432	2917
5	4967	2917
6	4962	2917

prune164.0ms (3.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	202	1	203
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	203	5	208

Error

Counts

208 → 5

Alt Table

Status	Error	Program
✓	2.4b	(*.f64 x (-.f64 (/.f64 (+.f64 1 y) z) 1))
✓	9.1b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
	14.9b	(*.f64 x (-.f64 (/.f64 (sqrt.f64 (+.f64 1 y)) (/.f64 z (sqrt.f64 (+.f64 1 y)))) 1))
▶	9.2b	(.f64 (.f64 x (+.f64 (-.f64 y z) 1)) (/.f64 1 z))
	33.0b	(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (+.f64 (-.f64 y z) 1) (sqrt.f64 z)))

Compiler

Compiled 4997 to 3687 computations (26.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 x (+.f64 (-.f64 y z) 1))
✓	8.6b	(.f64 (.f64 x (+.f64 (-.f64 y z) 1)) (/.f64 1 z))

series15.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

15.0ms

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

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-exp-log_binary64`
13×	`associate-r_binary64`
13×	`add-cbrt-cube_binary64`
12×	`prod-exp_binary64`
9×	`times-frac_binary64`

Counts

1 → 44

Calls

1 calls:

11.0ms

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

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

779×	`distribute-rgt-in_binary64`
768×	`distribute-lft-in_binary64`
201×	`associate-/l*_binary64`
182×	`fma-def_binary64`
162×	`associate-*r/_binary64`

Counts

80 → 76

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	103	1294
1	274	1052
2	953	1013
3	4554	1013
4	5118	1013

prune70.0ms (1.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	125	5	130

Error

Counts

130 → 5

Alt Table

Status	Error	Program
✓	2.4b	(*.f64 x (-.f64 (/.f64 (+.f64 1 y) z) 1))
✓	9.1b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
	14.9b	(*.f64 x (-.f64 (/.f64 (sqrt.f64 (+.f64 1 y)) (/.f64 z (sqrt.f64 (+.f64 1 y)))) 1))
✓	9.2b	(.f64 (.f64 x (+.f64 (-.f64 y z) 1)) (/.f64 1 z))
	33.0b	(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (+.f64 (-.f64 y z) 1) (sqrt.f64 z)))

Compiler

Compiled 2134 to 1083 computations (49.3% saved)

regimes389.0ms (8.2%)

Accuracy

Total 0.1b remaining (80.5%)

Threshold costs 0.1b (80.5%)

Counts

62 → 3

Compiler

Compiled 3544 to 2289 computations (35.4% saved)

bsearch50.0ms (1%)

Steps

Iters	Range		Point
8	1.9691820386911258e-59	2.430099461717704e-56	2.389419874305158e-56
4	-27974854.029769126	-18427685.148657694	-18726034.17619243

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
5×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
1×	`mul-1-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	57
1	39	56
2	44	54
3	48	54
4	50	54
5	51	54
6	49	54

end81.0ms (1.7%)

Compiler: Compiled 152 to 105 computations (30.9% saved)

Details

analyze1.3s (28.5%)

sample1.8s (37.7%)

simplify56.0ms (1.2%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

series23.0ms (0.5%)

rewrite17.0ms (0.4%)

simplify70.0ms (1.5%)

prune68.0ms (1.4%)

localize6.0ms (0.1%)

series25.0ms (0.5%)

rewrite25.0ms (0.5%)

simplify106.0ms (2.3%)

prune79.0ms (1.7%)

localize6.0ms (0.1%)

series29.0ms (0.6%)

rewrite39.0ms (0.8%)

simplify179.0ms (3.8%)

prune164.0ms (3.5%)

localize8.0ms (0.2%)

series15.0ms (0.3%)

rewrite14.0ms (0.3%)

simplify64.0ms (1.3%)

prune70.0ms (1.5%)

regimes389.0ms (8.2%)

bsearch50.0ms (1%)

simplify4.0ms (0.1%)

end81.0ms (1.7%)

Profiling