Details

analyze7.0ms (0.2%)

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)

sample1.3s (38%)

Results

1.2s

8256×

body

128

valid

Compiler

Compiled 110 to 86 computations (21.8% saved)

simplify78.0ms (2.3%)

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 (0.1%)

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))
▶	0.0b	(/.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)))))

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

(/.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 (*.f64 2 t) (+.f64 1 t))
✓	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)))

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)))

2.0ms

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

rewrite80.0ms (2.3%)

Algorithm

2×	batch-egg-rewrite

Rules

990×	`prod-diff_binary64`
126×	`egg-rr`
126×	`add-sqr-sqrt_binary64`
123×	`log1p-expm1-u_binary64`
123×	`expm1-log1p-u_binary64`

Counts

3 → 126

Calls

3 calls:

78.0ms

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

78.0ms

(/.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)))))

78.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	258	57
2	3619	57
3	5576	57
0	0	0
1	0	0

simplify60.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

663×	`times-frac_binary64`
598×	`fma-neg_binary64`
585×	`cancel-sign-sub-inv_binary64`
467×	`associate-l_binary64`
282×	`fma-def_binary64`

Counts

162 → 170

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	474
1	231	458
2	621	442
3	1772	440
4	4419	440
5	5139	440

prune1.1s (31.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	413	0	413
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	413	2	415

Error

Counts

415 → 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	(/.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))

✓

0.0b

(/.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)))))

Compiler

Compiled 15110 to 11877 computations (21.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (+.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))))

series12.0ms (0.3%)

Counts

4 → 48

Calls

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

rewrite70.0ms (2%)

Algorithm

2×	batch-egg-rewrite

Rules

467×	`prod-diff_binary64`
236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`
132×	`add-sqr-sqrt_binary64`
130×	`log1p-expm1-u_binary64`

Counts

4 → 114

Calls

4 calls:

67.0ms	(+.f64 2 (+.f64 t (/.f64 1 t)))
67.0ms	(fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2)
67.0ms	(/.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))
67.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	76
1	275	76
2	3528	76
3	5058	76
0	0	0
1	0	0

simplify76.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

456×	`sub-neg_binary64`
449×	`cancel-sign-sub-inv_binary64`
431×	`associate-l_binary64`
398×	`fma-neg_binary64`
339×	`associate-r_binary64`

Counts

162 → 164

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	583
1	227	567
2	583	554
3	1569	546
4	4255	546
5	4884	546
6	4906	546

prune219.0ms (6.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	244	2	246

Error

Counts

246 → 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	(/.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))

✓

0.0b

(/.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)))))

Compiler

Compiled 7373 to 5730 computations (22.3% saved)

regimes294.0ms (8.6%)

Accuracy

Total 0.0b remaining (75.8%)

Threshold costs 0.0b (75.8%)

Counts

77 → 1

Compiler

Compiled 7716 to 6218 computations (19.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	18	43
2	17	43

end106.0ms (3.1%)

Compiler: Compiled 122 to 96 computations (21.3% saved)

Details

analyze7.0ms (0.2%)

sample1.3s (38%)

simplify78.0ms (2.3%)

prune5.0ms (0.1%)

localize9.0ms (0.3%)

series9.0ms (0.3%)

rewrite80.0ms (2.3%)

simplify60.0ms (1.7%)

prune1.1s (31.9%)

localize9.0ms (0.3%)

series12.0ms (0.3%)

rewrite70.0ms (2%)

simplify76.0ms (2.2%)

prune219.0ms (6.4%)

regimes294.0ms (8.6%)

simplify2.0ms (0.1%)

end106.0ms (3.1%)

Profiling