Details

analyze6.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.3s (60.7%)

Results

1.2s	8256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 62 to 47 computations (24.2% saved)

simplify75.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

750×	`div-sub_binary64`
748×	`fma-neg_binary64`
599×	`fma-def_binary64`
502×	`associate-/l*_binary64`
423×	`distribute-rgt-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	37	29
2	82	27
3	201	27
4	526	27
5	991	25
6	1614	25
7	3273	25
8	3653	25
9	4694	25
10	4942	25

prune4.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 -1/4 (fma.f64 v v -1))))
	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 113 to 86 computations (23.9% saved)

localize10.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 -1/4 (fma.f64 v v -1))))
✓	0.0b	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))

series26.0ms (1.2%)

Counts

2 → 24

Calls

2 calls:

14.0ms	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 -1/4 (fma.f64 v v -1))))
11.0ms	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))

rewrite60.0ms (2.8%)

Algorithm

2×	batch-egg-rewrite

Rules

40× egg-rr

Counts

2 → 40

Calls

2 calls:

59.0ms	((.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 -1/4 (fma.f64 v v -1))) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	292	43
2	3049	43
3	4979	43
0	0	0
1	0	0

simplify61.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

590×	`fma-def_binary64`
524×	`cancel-sign-sub-inv_binary64`
387×	`distribute-neg-frac_binary64`
365×	`associate-l_binary64`
315×	`associate-r_binary64`

Counts

64 → 84

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	1050
1	344	997
2	1325	856
3	4369	852
4	5387	852

prune81.0ms (3.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	84	2	86

Error

Counts

86 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 -1/4 (fma.f64 v v -1))))
▶	0.0b	(.f64 (sqrt.f64 2) (exp.f64 (log.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 -1/4 (fma.f64 v v -1))))))

Status

Error

Program

✓

0.0b

(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))

▶

0.0b

(*.f64 (sqrt.f64 2) (exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))))

Compiler

Compiled 2327 to 1964 computations (15.6% saved)

localize16.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sqrt.f64 2) (exp.f64 (log.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 -1/4 (fma.f64 v v -1))))))
	0.0b	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))
✓	0.0b	(exp.f64 (log.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))))

series27.0ms (1.3%)

Counts

2 → 24

Calls

2 calls:

17.0ms

(*.f64 (sqrt.f64 2) (exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))))

10.0ms

(exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))))

rewrite61.0ms (2.9%)

Algorithm

2×	batch-egg-rewrite

Rules

63× egg-rr

Counts

2 → 63

Calls

2 calls:

60.0ms

((exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))) (*.f64 (sqrt.f64 2) (exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))))))

0.0ms

()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	45
1	307	45
2	3187	45
3	5277	45
0	0	0
1	0	0

simplify67.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

590×	`fma-def_binary64`
524×	`cancel-sign-sub-inv_binary64`
387×	`distribute-neg-frac_binary64`
365×	`associate-l_binary64`
315×	`associate-r_binary64`

Counts

87 → 107

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	1050
1	344	997
2	1325	856
3	4369	852
4	5387	852

prune205.0ms (9.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	150	2	152

Error

Counts

152 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 -1/4 (fma.f64 v v -1))))
✓	0.0b	(.f64 (sqrt.f64 2) (exp.f64 (log.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 -1/4 (fma.f64 v v -1))))))

Status

Error

Program

✓

0.0b

(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))

✓

0.0b

(*.f64 (sqrt.f64 2) (exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))))

Compiler

Compiled 4128 to 3445 computations (16.5% saved)

regimes70.0ms (3.3%)

Accuracy

Total 0.0b remaining (40.6%)

Threshold costs 0.0b (40.6%)

Counts

23 → 1

Compiler

Compiled 1270 to 1040 computations (18.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	29
1	23	29
2	22	29

end62.0ms (2.9%)

Compiler: Compiled 78 to 62 computations (20.5% saved)

Details

analyze6.0ms (0.3%)

sample1.3s (60.7%)

simplify75.0ms (3.5%)

prune4.0ms (0.2%)

localize10.0ms (0.5%)

series26.0ms (1.2%)

rewrite60.0ms (2.8%)

simplify61.0ms (2.9%)

prune81.0ms (3.8%)

localize16.0ms (0.7%)

series27.0ms (1.3%)

rewrite61.0ms (2.9%)

simplify67.0ms (3.1%)

prune205.0ms (9.7%)

regimes70.0ms (3.3%)

simplify2.0ms (0.1%)

end62.0ms (2.9%)

Profiling