Details

analyze1.3s (19.7%)

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	94.3%	5.7%	11
0%	93.8%	6.2%	12
0%	93.7%	6.3%	13
0%	93.3%	6.7%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample2.0s (31.3%)

Results

988.0ms	8256×	body	128	valid
887.0ms	1697×	body	8192	exit
110.0ms	948×	body	128	invalid

Compiler

Compiled 27 to 17 computations (37% saved)

simplify7.0ms (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

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(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
✓	0.1b	(fma.f64 y (fma.f64 x y z) t)

series15.0ms (0.2%)

Counts

1 → 48

Calls

1 calls:

15.0ms

(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 (1%)

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

prune20.0ms (0.3%)

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)))
✓	0.1b	(fma.f64 y (fma.f64 x y z) t)
	4.0b	(+.f64 (.f64 y z) (+.f64 t (.f64 (pow.f64 y 2) x)))
	43.3b	(cbrt.f64 (pow.f64 (fma.f64 y (fma.f64 y x z) t) 3))

Compiler

Compiled 439 to 137 computations (68.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 y (fma.f64 x y z) t)
✓	0.3b	(.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))

series400.0ms (6.2%)

Counts

3 → 144

Calls

3 calls:

256.0ms

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

128.0ms

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

16.0ms

(*.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)))

rewrite21.0ms (0.3%)

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:

8.0ms

(*.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))

simplify266.0ms (4.1%)

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

prune622.0ms (9.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	596	1	597
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	597	4	601

Error

0.0b

Counts

601 → 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)))
✓	0.1b	(fma.f64 y (fma.f64 x y z) t)
▶	4.0b	(+.f64 t (fma.f64 y z (.f64 (.f64 y y) x)))
	43.3b	(cbrt.f64 (pow.f64 (fma.f64 y (fma.f64 y x z) t) 3))

Compiler

Compiled 41929 to 20303 computations (51.6% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	9.0b	(.f64 (.f64 y y) x)

series10.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

10.0ms

(*.f64 (*.f64 y y) x)

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-r_binary64`
3×	`add-sqr-sqrt_binary64`

Counts

1 → 21

Calls

1 calls:

4.0ms

(*.f64 (*.f64 y y) x)

simplify80.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

725×	`fma-def_binary64`
412×	`distribute-rgt-in_binary64`
366×	`unswap-sqr_binary64`
301×	`associate-l_binary64`
251×	`sqr-pow_binary64`

Counts

45 → 23

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	401
1	88	356
2	259	356
3	574	356
4	857	356
5	1551	356
6	2770	356
7	4560	356
8	5000	356
9	5082	356

prune18.0ms (0.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	22	5	27

Error

0.0b

Counts

27 → 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)))
✓	0.1b	(fma.f64 y (fma.f64 x y z) t)
▶	4.2b	(+.f64 t (fma.f64 y z (.f64 (.f64 (cbrt.f64 (.f64 (.f64 y y) x)) (cbrt.f64 (.f64 (.f64 y y) x))) (cbrt.f64 (.f64 (.f64 y y) x)))))
✓	4.0b	(+.f64 t (fma.f64 y z (.f64 (.f64 y y) x)))
	43.3b	(cbrt.f64 (pow.f64 (fma.f64 y (fma.f64 y x z) t) 3))

Compiler

Compiled 480 to 176 computations (63.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 y y) x)) (cbrt.f64 (.f64 (.f64 y y) x))) (cbrt.f64 (.f64 (.f64 y y) x)))
✓	0.4b	(.f64 (cbrt.f64 (.f64 (.f64 y y) x)) (cbrt.f64 (.f64 (*.f64 y y) x)))
	9.0b	(.f64 (.f64 y y) x)
✓	22.8b	(cbrt.f64 (.f64 (.f64 y y) x))

series1.0s (15.7%)

Counts

3 → 72

Calls

3 calls:

543.0ms

(*.f64 (cbrt.f64 (*.f64 (*.f64 y y) x)) (cbrt.f64 (*.f64 (*.f64 y y) x)))

450.0ms

(cbrt.f64 (*.f64 (*.f64 y y) x))

23.0ms

(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 y y) x)) (cbrt.f64 (*.f64 (*.f64 y y) x))) (cbrt.f64 (*.f64 (*.f64 y y) x)))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
16×	`pow1/3_binary64`
11×	`pow-prod-up_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64`

Counts

3 → 79

Calls

3 calls:

8.0ms

(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 y y) x)) (cbrt.f64 (*.f64 (*.f64 y y) x))) (cbrt.f64 (*.f64 (*.f64 y y) x)))

5.0ms

(*.f64 (cbrt.f64 (*.f64 (*.f64 y y) x)) (cbrt.f64 (*.f64 (*.f64 y y) x)))

3.0ms

(cbrt.f64 (*.f64 (*.f64 y y) x))

simplify95.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

655×	`unswap-sqr_binary64`
354×	`fma-def_binary64`
286×	`fma-neg_binary64`
202×	`exp-prod_binary64`
200×	`log-prod_binary64`

Counts

151 → 129

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	2270
1	272	1992
2	659	1634
3	1455	1434
4	4557	1434
5	4933	1434

prune174.0ms (2.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	252	0	252
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	252	5	257

Error

0.0b

Counts

257 → 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)))
✓	0.1b	(fma.f64 y (fma.f64 x y z) t)
✓	4.2b	(+.f64 t (fma.f64 y z (.f64 (.f64 (cbrt.f64 (.f64 (.f64 y y) x)) (cbrt.f64 (.f64 (.f64 y y) x))) (cbrt.f64 (.f64 (.f64 y y) x)))))
✓	4.0b	(+.f64 t (fma.f64 y z (.f64 (.f64 y y) x)))
	43.3b	(cbrt.f64 (pow.f64 (fma.f64 y (fma.f64 y x z) t) 3))

Compiler

Compiled 7244 to 1551 computations (78.6% saved)

regimes235.0ms (3.6%)

Accuracy

Total 0.0b remaining (61.9%)

Threshold costs 0.0b (61.9%)

Counts

39 → 1

Compiler

Compiled 4292 to 2356 computations (45.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end68.0ms (1%)

Compiler: Compiled 120 to 55 computations (54.2% saved)

Details

analyze1.3s (19.7%)

sample2.0s (31.3%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize5.0ms (0.1%)

series15.0ms (0.2%)

rewrite1.0ms (0%)

simplify64.0ms (1%)

prune20.0ms (0.3%)

localize9.0ms (0.1%)

series400.0ms (6.2%)

rewrite21.0ms (0.3%)

simplify266.0ms (4.1%)

prune622.0ms (9.6%)

localize7.0ms (0.1%)

series10.0ms (0.2%)

rewrite5.0ms (0.1%)

simplify80.0ms (1.2%)

prune18.0ms (0.3%)

localize10.0ms (0.2%)

series1.0s (15.7%)

rewrite20.0ms (0.3%)

simplify95.0ms (1.5%)

prune174.0ms (2.7%)

regimes235.0ms (3.6%)

simplify2.0ms (0%)

end68.0ms (1%)

Profiling