Details

analyze4.0ms (0.1%)

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)

sample1.2s (40.5%)

Infinites

0% of outputs are infinite.

Results

1.0s

8256×

body

128

valid

Compiler

Compiled 110 to 86 computations (21.8% saved)

simplify80.0ms (2.8%)

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

prune5.0ms (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

Counts

3 → 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))
	0.2b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))

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))

0.2b

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))

Compiler

Compiled 185 to 143 computations (22.7% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	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	(+.f64 2 (+.f64 t (/.f64 1 t)))
✓	0.1b	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

series9.0ms (0.3%)

Counts

3 → 36

Calls

3 calls:

5.0ms	(/.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	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
1.0ms	(+.f64 2 (+.f64 t (/.f64 1 t)))

rewrite24.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 93

Calls

3 calls:

8.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
6.0ms	(+.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))

simplify123.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

805×	`fma-neg_binary64`
404×	`cancel-sign-sub-inv_binary64`
323×	`fma-def_binary64`
317×	`distribute-rgt-in_binary64`
291×	`times-frac_binary64`

Counts

129 → 173

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	180	3186
1	414	2951
2	1081	2938
3	3007	2928
4	4628	2927
5	4938	2927

prune303.0ms (10.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	280	0	280
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	280	2	282

Error

Counts

282 → 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))
▶	0.2b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))

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))

▶

0.2b

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))

Compiler

Compiled 9513 to 7392 computations (22.3% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))
✓	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
✓	0.2b	(/.f64 (*.f64 2 t) (+.f64 1 t))

series9.0ms (0.3%)

Counts

3 → 36

Calls

3 calls:

3.0ms

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))

3.0ms

(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

3.0ms

(/.f64 (*.f64 2 t) (+.f64 1 t))

rewrite51.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-cbrt-cube_binary64`
46×	`add-exp-log_binary64`
39×	`*-un-lft-identity_binary64`
33×	`times-frac_binary64`
23×	`add-sqr-sqrt_binary64`

Counts

3 → 129

Calls

3 calls:

23.0ms

(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

8.0ms

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))

7.0ms

(/.f64 (*.f64 2 t) (+.f64 1 t))

simplify128.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

733×	`fma-def_binary64`
577×	`fma-neg_binary64`
335×	`cancel-sign-sub-inv_binary64`
258×	`distribute-rgt-in_binary64`
222×	`distribute-lft-in_binary64`

Counts

165 → 242

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	246	4517
1	723	4010
2	2371	3612
3	4719	3611
4	4991	3611

prune669.0ms (23.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	526	0	526
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	526	2	528

Error

Counts

528 → 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))
✓	0.2b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))

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))

✓

0.2b

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))

Compiler

Compiled 22365 to 17389 computations (22.2% saved)

regimes206.0ms (7.2%)

Accuracy

Total 0.0b remaining (16.4%)

Threshold costs 0.0b (16.4%)

Counts

48 → 1

Compiler

Compiled 4708 to 3714 computations (21.1% 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

end69.0ms (2.4%)

Compiler: Compiled 114 to 88 computations (22.8% saved)

Details

analyze4.0ms (0.1%)

sample1.2s (40.5%)

simplify80.0ms (2.8%)

prune5.0ms (0.2%)

localize9.0ms (0.3%)

series9.0ms (0.3%)

rewrite24.0ms (0.8%)

simplify123.0ms (4.3%)

prune303.0ms (10.6%)

localize8.0ms (0.3%)

series9.0ms (0.3%)

rewrite51.0ms (1.8%)

simplify128.0ms (4.5%)

prune669.0ms (23.4%)

regimes206.0ms (7.2%)

simplify2.0ms (0.1%)

end69.0ms (2.4%)

Profiling