Details

analyze5.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
99.8%	0%	0.2%	1

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample897.0ms (1.7%)

Infinites

29.3% of outputs are infinite.

Results

839.0ms

8256×

body

128

valid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify9.0ms (0%)

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

prune5.0ms (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)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

series14.0ms (0%)

Counts

1 → 48

Calls

1 calls:

14.0ms

(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)

simplify79.0ms (0.1%)

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

prune31.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	27	4	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	5	32

Error

0.0b

Counts

32 → 5

Alt Table

Status	Error	Program
▶	0.9b	(.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)))
✓	0.0b	(fma.f64 y (fma.f64 x y z) t)
	5.5b	(+.f64 (.f64 y z) (+.f64 t (.f64 (pow.f64 y 2) x)))
	34.9b	(*.f64 (sqrt.f64 (fma.f64 y (fma.f64 x y z) t)) (sqrt.f64 (fma.f64 y (fma.f64 x y z) t)))
	28.2b	(cbrt.f64 (pow.f64 (fma.f64 y (fma.f64 y x z) t) 3))

Compiler

Compiled 481 to 153 computations (68.2% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 y (fma.f64 x y z) t)
✓	0.2b	(.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)))
✓	0.4b	(*.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))
✓	19.4b	(cbrt.f64 (fma.f64 y (fma.f64 x y z) t))

series618.0ms (1.2%)

Counts

3 → 144

Calls

3 calls:

443.0ms

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

142.0ms

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

31.0ms

(*.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)))

rewrite40.0ms (0.1%)

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:

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)))

10.0ms

(*.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))

simplify398.0ms (0.8%)

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

prune1.4s (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	595	2	597
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	598	4	602

Error

0.0b

Counts

602 → 4

Alt Table

Status	Error	Program
▶	0.9b	(pow.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) 3)
	4.2b	(+.f64 t (fma.f64 y z (.f64 (.f64 y y) x)))
	34.9b	(*.f64 (sqrt.f64 (fma.f64 y (fma.f64 x y z) t)) (sqrt.f64 (fma.f64 y (fma.f64 x y z) t)))
✓	0.0b	(fma.f64 y (fma.f64 x y z) t)

Compiler

Compiled 41941 to 20310 computations (51.6% saved)

localize16.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 y (fma.f64 x y z) t)
✓	0.5b	(pow.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) 3)
	19.4b	(cbrt.f64 (fma.f64 y (fma.f64 x y z) t))

series44.2s (83.7%)

Counts

1 → 48

Calls

1 calls:

44.2s

(pow.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) 3)

rewrite6.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cube-prod_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`
6×	`cbrt-prod_binary64`
6×	`unpow-prod-down_binary64`

Counts

1 → 32

Calls

1 calls:

4.0ms

(pow.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) 3)

simplify96.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

913×	`fma-def_binary64`
588×	`times-frac_binary64`
389×	`unswap-sqr_binary64`
183×	`associate-r_binary64`
181×	`associate-l_binary64`

Counts

80 → 87

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	237	3213
1	696	2684
2	2367	2486
3	4940	2486
4	5009	2486

prune202.0ms (0.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	222	1	223
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	222	5	227

Error

0.0b

Counts

227 → 5

Alt Table

Status	Error	Program
✓	0.9b	(pow.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) 3)
	4.2b	(+.f64 t (fma.f64 y z (.f64 (.f64 y y) x)))
	34.9b	(*.f64 (sqrt.f64 (fma.f64 y (fma.f64 x y z) t)) (sqrt.f64 (fma.f64 y (fma.f64 x y z) t)))
✓	0.0b	(fma.f64 y (fma.f64 x y z) t)
▶	1.4b	(.f64 (pow.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)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t))) 3))

Compiler

Compiled 10204 to 6092 computations (40.3% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(pow.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)))) 3)
✓	0.8b	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t))) 3)
✓	10.0b	(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))))
	19.4b	(cbrt.f64 (fma.f64 y (fma.f64 x y z) t))

series2.3s (4.3%)

Counts

3 → 144

Calls

3 calls:

1.5s

(pow.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)))) 3)

507.0ms

(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t))) 3)

325.0ms

(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))))

rewrite23.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`cbrt-prod_binary64`
13×	`cube-prod_binary64`
13×	`unpow-prod-down_binary64`
13×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`

Counts

3 → 77

Calls

3 calls:

5.0ms

(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))))

5.0ms

(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t))) 3)

5.0ms

(pow.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)))) 3)

simplify488.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

360×	`fma-def_binary64`
283×	`associate-+r+_binary64`
270×	`associate-r_binary64`
156×	`associate-*r/_binary64`
156×	`associate-/l*_binary64`

Counts

221 → 360

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1721	24534
1	5272	24534

prune1.6s (3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	675	0	675
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	675	5	680

Error

0.0b

Counts

680 → 5

Alt Table

Status	Error	Program
✓	0.9b	(pow.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) 3)
	4.2b	(+.f64 t (fma.f64 y z (.f64 (.f64 y y) x)))
	34.9b	(*.f64 (sqrt.f64 (fma.f64 y (fma.f64 x y z) t)) (sqrt.f64 (fma.f64 y (fma.f64 x y z) t)))
✓	0.0b	(fma.f64 y (fma.f64 x y z) t)
✓	1.4b	(.f64 (pow.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)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t))) 3))

Compiler

Compiled 66552 to 36452 computations (45.2% saved)

regimes176.0ms (0.3%)

Accuracy

Total 0.0b remaining (69.2%)

Threshold costs 0.0b (69.2%)

Counts

31 → 1

Compiler

Compiled 2842 to 1613 computations (43.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end174.0ms (0.3%)

Compiler: Compiled 118 to 58 computations (50.8% saved)

Details

analyze5.0ms (0%)

sample897.0ms (1.7%)

simplify9.0ms (0%)

prune5.0ms (0%)

localize6.0ms (0%)

series14.0ms (0%)

rewrite1.0ms (0%)

simplify79.0ms (0.1%)

prune31.0ms (0.1%)

localize10.0ms (0%)

series618.0ms (1.2%)

rewrite40.0ms (0.1%)

simplify398.0ms (0.8%)

prune1.4s (2.6%)

localize16.0ms (0%)

series44.2s (83.7%)

rewrite6.0ms (0%)

simplify96.0ms (0.2%)

prune202.0ms (0.4%)

localize13.0ms (0%)

series2.3s (4.3%)

rewrite23.0ms (0%)

simplify488.0ms (0.9%)

prune1.6s (3%)

regimes176.0ms (0.3%)

simplify2.0ms (0%)

end174.0ms (0.3%)

Profiling