Details

analyze93.0ms (4.1%)

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)

sample36.0ms (1.6%)

Algorithm

1×

intervals

Results

26.0ms

256×

body

128

valid

Compiler

Compiled 74 to 58 computations (21.6% saved)

simplify79.0ms (3.5%)

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 (0.2%)

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 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)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series12.0ms (0.5%)

Counts

4 → 48

Calls

4 calls:

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

rewrite20.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`*-un-lft-identity_binary64`
27×	`times-frac_binary64`
23×	`add-sqr-sqrt_binary64`
23×	`add-cube-cbrt_binary64`
20×	`distribute-lft-out_binary64`

Counts

4 → 92

Calls

4 calls:

10.0ms	(/.f64 4 (+.f64 2 (+.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)))) 1)
0.0ms	(fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2)

simplify170.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

611×	`fma-neg_binary64`
538×	`cancel-sign-sub-inv_binary64`
408×	`fma-def_binary64`
324×	`times-frac_binary64`
252×	`sub-neg_binary64`

Counts

140 → 152

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	195	3635
1	466	3341
2	1196	3321
3	3248	3312
4	4785	3312
5	4999	3312
6	4893	3312

prune199.0ms (8.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	205	1	206
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	205	2	207

Error

Counts

207 → 2

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))
▶	0.0b	(log.f64 (exp.f64 (/.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

✓

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))

▶

0.0b

(log.f64 (exp.f64 (/.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 6725 to 5220 computations (22.4% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

prune211.0ms (9.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	206	2	208

Error

Counts

208 → 2

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))
✓	0.0b	(log.f64 (exp.f64 (/.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

✓

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))

✓

0.0b

(log.f64 (exp.f64 (/.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 7109 to 5610 computations (21.1% saved)

regimes267.0ms (11.7%)

Accuracy

Total 0.0b remaining (16.4%)

Threshold costs 0.0b (16.4%)

Counts

68 → 1

Compiler

Compiled 5092 to 4038 computations (20.7% 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
2	15	36

end1.0ms (0%)

Compiler: Compiled 26 to 20 computations (23.1% saved)

sample1.2s (51%)

Algorithm

1×

intervals

Results

910.0ms

8000×

body

128

valid

Compiler

Compiled 118 to 92 computations (22% saved)

Details

analyze93.0ms (4.1%)

sample36.0ms (1.6%)

simplify79.0ms (3.5%)

prune4.0ms (0.2%)

localize11.0ms (0.5%)

series12.0ms (0.5%)

rewrite20.0ms (0.9%)

simplify170.0ms (7.4%)

prune199.0ms (8.7%)

localize13.0ms (0.6%)

prune211.0ms (9.2%)

regimes267.0ms (11.7%)

simplify2.0ms (0.1%)

end1.0ms (0%)

sample1.2s (51%)

Profiling