Details

analyze948.0ms (11.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
18.7%	70.2%	11.1%	11
21.1%	66.7%	12.3%	12
31.6%	55.9%	12.5%	13
34.5%	52.3%	13.2%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.2s (14.4%)

Results

952.0ms	8256×	body	128	valid
208.0ms	1888×	body	128	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`fma-def_binary64`
8×	`+-commutative_binary64`
4×	`associate-+r+_binary64`
4×	`associate-+l+_binary64`
3×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	25	9
3	38	9
4	52	9
5	52	9

prune3.0ms (0%)

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	(fma.f64 y (fma.f64 x y z) t)

Compiler

Compiled 42 to 22 computations (47.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y (fma.f64 x y z) t)

series13.0ms (0.2%)

Counts

1 → 48

Calls

1 calls:

13.0ms

(fma.f64 y (fma.f64 x y z) t)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 y (fma.f64 x y z) t)

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

775×	`associate-+l+_binary64`
772×	`associate-+r+_binary64`
678×	`unswap-sqr_binary64`
551×	`*-commutative_binary64`
295×	`distribute-lft-in_binary64`

Counts

58 → 31

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	697
1	47	499
2	84	499
3	257	499
4	1272	499
5	3520	499
6	4213	499
7	5348	499

prune18.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	4	32

Error

0.0b

Counts

32 → 4

Alt Table

Status	Error	Program
▶	1.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t))) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))
	4.4b	(+.f64 (.f64 y z) (+.f64 t (.f64 (pow.f64 y 2) x)))
✓	0.0b	(fma.f64 y (fma.f64 x y z) t)
	33.7b	(*.f64 (sqrt.f64 (fma.f64 y (fma.f64 x y z) t)) (sqrt.f64 (fma.f64 y (fma.f64 x y z) t)))

Compiler

Compiled 453 to 135 computations (70.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 y (fma.f64 x y z) t)
✓	0.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t))) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))
✓	0.5b	(*.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))
✓	0.6b	(cbrt.f64 (fma.f64 y (fma.f64 x y z) t))

series296.0ms (3.6%)

Counts

3 → 144

Calls

3 calls:

199.0ms

(*.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))

83.0ms

(cbrt.f64 (fma.f64 y (fma.f64 x y z) t))

13.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t))) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`cbrt-prod_binary64`
16×	`pow1/3_binary64`
14×	`*-un-lft-identity_binary64`

Counts

3 → 93

Calls

3 calls:

6.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t))) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))

4.0ms

(*.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))

1.0ms

(cbrt.f64 (fma.f64 y (fma.f64 x y z) t))

simplify253.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

452×	`*-commutative_binary64`
227×	`+-commutative_binary64`
192×	`fma-def_binary64`
180×	`cancel-sign-sub-inv_binary64`
180×	`sub-neg_binary64`

Counts

237 → 294

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1059	14782
1	3790	13671
2	4988	13671
3	4958	13671

prune593.0ms (7.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	595	2	597
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	596	5	601

Error

0.0b

Counts

601 → 5

Alt Table

Status	Error	Program
✓	1.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t))) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))
▶	1.7b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t))))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t))))) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))
	4.4b	(+.f64 t (fma.f64 y z (.f64 (.f64 y y) x)))
✓	0.0b	(fma.f64 y (fma.f64 x y z) t)
	33.7b	(*.f64 (sqrt.f64 (fma.f64 y (fma.f64 x y z) t)) (sqrt.f64 (fma.f64 y (fma.f64 x y z) t)))

Compiler

Compiled 42081 to 20325 computations (51.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(*.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))
✓	0.6b	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t))))
✓	0.6b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))))
	0.6b	(cbrt.f64 (fma.f64 y (fma.f64 x y z) t))

series495.0ms (6%)

Counts

2 → 96

Calls

2 calls:

349.0ms

(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))))

145.0ms

(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t))))

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
9×	`cbrt-prod_binary64`
9×	`pow1_binary64`
7×	`pow1/3_binary64`
6×	`*-un-lft-identity_binary64`

Counts

2 → 47

Calls

2 calls:

4.0ms

(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))))

2.0ms

(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t))))

simplify244.0ms (3%)

Algorithm

1×	egg-herbie

Rules

741×	`*-commutative_binary64`
353×	`associate-r_binary64`
311×	`fma-def_binary64`
263×	`associate-+r+_binary64`
132×	`associate-l_binary64`

Counts

143 → 217

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1509	26162
1	5134	26162

prune3.4s (41%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1542	0	1542
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	1542	5	1547

Error

0.0b

Counts

1547 → 5

Alt Table

Status	Error	Program
✓	1.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t))) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))
✓	1.7b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t))))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t))))) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))
▶	4.4b	(+.f64 t (fma.f64 y z (.f64 (.f64 y y) x)))
✓	0.0b	(fma.f64 y (fma.f64 x y z) t)
	33.7b	(*.f64 (sqrt.f64 (fma.f64 y (fma.f64 x y z) t)) (sqrt.f64 (fma.f64 y (fma.f64 x y z) t)))

Compiler

Compiled 207508 to 85196 computations (58.9% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 t (fma.f64 y z (.f64 (.f64 y y) x)))
✓	8.0b	(.f64 (.f64 y y) x)

series25.0ms (0.3%)

Counts

2 → 72

Calls

2 calls:

16.0ms	(+.f64 t (fma.f64 y z (.f64 (.f64 y y) x)))
9.0ms	(.f64 (.f64 y y) x)

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
7×	`pow1_binary64`
6×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`

Counts

2 → 39

Calls

2 calls:

12.0ms	(.f64 (.f64 y y) x)
2.0ms	(+.f64 t (fma.f64 y z (.f64 (.f64 y y) x)))

simplify89.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

434×	`unswap-sqr_binary64`
417×	`associate-l_binary64`
298×	`associate-r_binary64`
270×	`distribute-rgt-in_binary64`
261×	`distribute-lft-in_binary64`

Counts

111 → 62

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	74	1277
1	177	1101
2	542	947
3	2018	947
4	3252	947
5	4966	947
6	4937	947

prune35.0ms (0.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	62	5	67

Error

0.0b

Counts

67 → 5

Alt Table

Status	Error	Program
✓	1.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t))) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))
✓	1.7b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t))))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t))))) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))
✓	4.4b	(+.f64 t (fma.f64 y z (.f64 (.f64 y y) x)))
✓	0.0b	(fma.f64 y (fma.f64 x y z) t)
	33.7b	(*.f64 (sqrt.f64 (fma.f64 y (fma.f64 x y z) t)) (sqrt.f64 (fma.f64 y (fma.f64 x y z) t)))

Compiler

Compiled 1034 to 259 computations (75% saved)

regimes456.0ms (5.5%)

Accuracy

Total 0.0b remaining (70.1%)

Threshold costs 0.0b (70.1%)

Counts

64 → 1

Compiler

Compiled 13370 to 4678 computations (65% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end69.0ms (0.8%)

Compiler: Compiled 167 to 55 computations (67.1% saved)

Details

analyze948.0ms (11.5%)

sample1.2s (14.4%)

simplify6.0ms (0.1%)

prune3.0ms (0%)

localize5.0ms (0.1%)

series13.0ms (0.2%)

rewrite1.0ms (0%)

simplify64.0ms (0.8%)

prune18.0ms (0.2%)

localize11.0ms (0.1%)

series296.0ms (3.6%)

rewrite18.0ms (0.2%)

simplify253.0ms (3.1%)

prune593.0ms (7.2%)

localize12.0ms (0.1%)

series495.0ms (6%)

rewrite10.0ms (0.1%)

simplify244.0ms (3%)

prune3.4s (41%)

localize7.0ms (0.1%)

series25.0ms (0.3%)

rewrite16.0ms (0.2%)

simplify89.0ms (1.1%)

prune35.0ms (0.4%)

regimes456.0ms (5.5%)

simplify2.0ms (0%)

end69.0ms (0.8%)

Profiling