Details

analyze8.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
75%	25%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 37 to 29 computations (21.6% saved)

sample2.2s (48.7%)

Results

2.0s

8256×

body

128

valid

Compiler

Compiled 110 to 86 computations (21.8% saved)

simplify119.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1189×	`distribute-rgt-in_binary64`
1108×	`fma-def_binary64`
1005×	`distribute-lft-in_binary64`
549×	`times-frac_binary64`
430×	`distribute-rgt-out_binary64`

Counts

1 → 2

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	23	48
2	48	46
3	118	42
4	280	42
5	394	42
6	660	42
7	1286	38
8	1638	36
9	2219	36
10	2481	36
11	2637	36
12	2677	36
13	2497	36
14	5129	36

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2))

Compiler

Compiled 113 to 87 computations (23% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 t (/.f64 1 t))
✓	0.0b	(fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2)
✓	0.0b	(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2))
✓	0.1b	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

series13.0ms (0.3%)

Counts

4 → 48

Calls

4 calls:

4.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
4.0ms	(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2))
3.0ms	(fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2)
2.0ms	(+.f64 t (/.f64 1 t))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`*-un-lft-identity_binary64`
27×	`times-frac_binary64`
24×	`add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64`
22×	`distribute-lft-out_binary64`

Counts

4 → 101

Calls

4 calls:

8.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
7.0ms	(+.f64 t (/.f64 1 t))
2.0ms	(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2))
0.0ms	(fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2)

simplify262.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

871×	`fma-neg_binary64`
451×	`fma-def_binary64`
256×	`distribute-rgt-in_binary64`
246×	`sub-neg_binary64`
232×	`distribute-lft-in_binary64`

Counts

149 → 149

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	206	3478
1	497	3219
2	1268	3204
3	3649	3187
4	4675	3187
5	4927	3187
6	4917	3187

prune513.0ms (11.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	225	1	226
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	225	2	227

Error

Counts

227 → 2

Alt Table

Status	Error	Program
▶	31.4b	(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 (pow.f64 t 3) -8 (fma.f64 4 (*.f64 t t) 2)))
✓	0.0b	(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2))

Status

Error

Program

▶

31.4b

(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 (pow.f64 t 3) -8 (fma.f64 4 (*.f64 t t) 2)))

✓

0.0b

(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2))

Compiler

Compiled 7376 to 5682 computations (23% saved)

localize29.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 t (/.f64 1 t))
	0.1b	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
✓	0.2b	(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 (pow.f64 t 3) -8 (fma.f64 4 (*.f64 t t) 2)))
✓	7.0b	(fma.f64 (pow.f64 t 3) -8 (fma.f64 4 (*.f64 t t) 2))

series13.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

7.0ms	(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 (pow.f64 t 3) -8 (fma.f64 4 (*.f64 t t) 2)))
6.0ms	(fma.f64 (pow.f64 t 3) -8 (fma.f64 4 (*.f64 t t) 2))

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 39

Calls

2 calls:

4.0ms	(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 (pow.f64 t 3) -8 (fma.f64 4 (*.f64 t t) 2)))
1.0ms	(fma.f64 (pow.f64 t 3) -8 (fma.f64 4 (*.f64 t t) 2))

simplify167.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

799×	`fma-def_binary64`
565×	`distribute-rgt-in_binary64`
560×	`fma-neg_binary64`
451×	`times-frac_binary64`
360×	`cancel-sign-sub-inv_binary64`

Counts

63 → 92

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	107	2136
1	228	1945
2	587	1938
3	1806	1768
4	4903	1765
5	5102	1765

prune267.0ms (5.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	169	2	171

Error

Counts

171 → 2

Alt Table

Status	Error	Program
✓	31.4b	(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 (pow.f64 t 3) -8 (fma.f64 4 (*.f64 t t) 2)))
✓	0.0b	(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2))

Status

Error

Program

✓

31.4b

(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 (pow.f64 t 3) -8 (fma.f64 4 (*.f64 t t) 2)))

✓

0.0b

(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2))

Compiler

Compiled 5545 to 4091 computations (26.2% saved)

regimes757.0ms (16.6%)

Accuracy

Total 0.0b remaining (8.8%)

Threshold costs 0.0b (8.8%)

Counts

44 → 1

Compiler

Compiled 3536 to 2742 computations (22.5% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	16	36
2	15	36

end140.0ms (3.1%)

Compiler: Compiled 103 to 79 computations (23.3% saved)

Details

analyze8.0ms (0.2%)

sample2.2s (48.7%)

simplify119.0ms (2.6%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

series13.0ms (0.3%)

rewrite23.0ms (0.5%)

simplify262.0ms (5.7%)

prune513.0ms (11.2%)

localize29.0ms (0.6%)

series13.0ms (0.3%)

rewrite10.0ms (0.2%)

simplify167.0ms (3.7%)

prune267.0ms (5.8%)

regimes757.0ms (16.6%)

simplify5.0ms (0.1%)

end140.0ms (3.1%)

Profiling