Details

analyze7.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	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)

sample1.4s (67.8%)

Results

1.3s

8256×

body

128

valid

Compiler

Compiled 110 to 86 computations (21.8% saved)

simplify34.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1108×	`fma-def_binary64`
549×	`times-frac_binary64`
299×	`associate-+l+_binary64`
252×	`associate-/l*_binary64`
243×	`associate-+r+_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	23	48
2	49	46
3	135	42
4	349	42
5	628	42
6	1060	42
7	2279	38
8	3243	36
9	4446	36
10	4793	36

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0.2%)

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

Compiler

Compiled 113 to 87 computations (23% saved)

localize15.0ms (0.7%)

Local error

Found 3 expressions with local error:

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

series6.0ms (0.3%)

Counts

3 → 30

Calls

3 calls:

2.0ms	(/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t)))
2.0ms	(/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 1) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 2))
1.0ms	(+.f64 (/.f64 1 t) (+.f64 2 t))

rewrite66.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

673×	`prod-diff_binary64`
133×	`add-sqr-sqrt_binary64`
130×	`log1p-expm1-u_binary64`
130×	`expm1-log1p-u_binary64`
129×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	275	59
2	3826	59

Stop Event

1×	node limit

Counts

3 → 102

Calls

3 calls:

64.0ms	(+.f64 (/.f64 1 t) (+.f64 2 t))
64.0ms	(/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 1) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 2))
64.0ms	(/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t)))

simplify23.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

788×	`fma-def_binary64`
332×	`cancel-sign-sub-inv_binary64`
299×	`associate-l_binary64`
285×	`fma-neg_binary64`
262×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	369
1	170	359
2	458	350
3	1409	339

Stop Event

1×	node limit

Counts

132 → 136

prune211.0ms (10.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	224	1	225
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	224	2	226

Error

Counts

226 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 1) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 2))
▶	25.6b	(fma.f64 (pow.f64 t 3) (+.f64 t -2) (fma.f64 t t 1/2))

Compiler

Compiled 7023 to 5408 computations (23% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (pow.f64 t 3) (+.f64 t -2) (fma.f64 t t 1/2))

series3.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

3.0ms

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

rewrite37.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

851×	`log1p-expm1-u_binary64`
851×	`expm1-log1p-u_binary64`
141×	`prod-diff_binary64`
94×	`add-sqr-sqrt_binary64`
89×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	196	15
2	2265	15

Stop Event

1×	node limit

Counts

1 → 24

Calls

1 calls:

36.0ms

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

simplify27.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

803×	`unswap-sqr_binary64`
448×	`cancel-sign-sub-inv_binary64`
443×	`fma-neg_binary64`
422×	`fma-def_binary64`
179×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	162
1	61	148
2	144	125
3	475	119
4	1817	119
5	4235	119

Stop Event

1×	node limit

Counts

36 → 37

prune22.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	37	2	39

Error

Counts

39 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 1) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 2))
✓	25.6b	(fma.f64 (pow.f64 t 3) (+.f64 t -2) (fma.f64 t t 1/2))

Compiler

Compiled 576 to 412 computations (28.5% saved)

regimes126.0ms (6.2%)

Accuracy

Total 0.0b remaining (49.2%)

Threshold costs 0.0b (49.2%)

Counts

27 → 1

Compiler

Compiled 2104 to 1630 computations (22.5% saved)

simplify2.0ms (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

Stop Event

1×

saturated

end63.0ms (3.1%)

Compiler: Compiled 90 to 68 computations (24.4% saved)

Details

analyze7.0ms (0.3%)

sample1.4s (67.8%)

simplify34.0ms (1.7%)

prune3.0ms (0.2%)

localize15.0ms (0.7%)

series6.0ms (0.3%)

rewrite66.0ms (3.2%)

simplify23.0ms (1.1%)

prune211.0ms (10.4%)

localize6.0ms (0.3%)

series3.0ms (0.1%)

rewrite37.0ms (1.8%)

simplify27.0ms (1.4%)

prune22.0ms (1.1%)

regimes126.0ms (6.2%)

simplify2.0ms (0.1%)

end63.0ms (3.1%)

Profiling