Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 24 to 18 computations (25% saved)

sample1.4s (69.3%)

Results

1.3s

8256×

body

128

valid

Compiler

Compiled 65 to 49 computations (24.6% saved)

simplify160.0ms (7.8%)

Algorithm

1×	egg-herbie

Rules

793×	`distribute-rgt-neg-in_binary64`
625×	`unswap-sqr_binary64`
613×	`fma-def_binary64`
509×	`fma-neg_binary64`
441×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	28	20
2	75	20
3	154	20
4	415	20
5	1209	20
6	2435	20
7	3972	20
8	3824	20
9	4160	20
10	4405	18
11	3728	18
12	4698	18
13	4878	18
14	4722	18

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

52.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	52.0b	(+.f64 (-.f64 (.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) (.f64 2 (*.f64 y y)))

Compiler

Compiled 64 to 47 computations (26.6% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	23.0b	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

series18.0ms (0.9%)

Counts

1 → 6

Calls

1 calls:

18.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cancel-sign-sub-inv_binary64`
7×	`prod-diff_binary64`
6×	`unpow-prod-down_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`

Counts

1 → 28

Calls

1 calls:

5.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

simplify68.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

718×	`fma-neg_binary64`
669×	`fma-def_binary64`
338×	`distribute-rgt-neg-in_binary64`
318×	`cancel-sign-sub-inv_binary64`
271×	`exp-prod_binary64`

Counts

34 → 35

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	86	845
1	185	650
2	623	461
3	1213	426
4	2673	420
5	4197	420
6	4695	420

prune27.0ms (1.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	1	36

Error

Counts

36 → 1

Alt Table

Status	Error	Program
▶	0b	(+.f64 (+.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 y 4)) (.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4))))) (.f64 2 (.f64 y y)))

Status

Error

Program

▶

(+.f64 (+.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 y 4)) (*.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4))))) (*.f64 2 (*.f64 y y)))

Compiler

Compiled 1005 to 727 computations (27.7% saved)

localize14.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	23.0b	(fma.f64 9 (pow.f64 x 4) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4)))))
✓	62.0b	(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 y 4)) (*.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4))))

New

Error

Program

✓

23.0b

(fma.f64 9 (pow.f64 x 4) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4)))))

✓

62.0b

(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 y 4)) (*.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4))))

series26.0ms (1.3%)

Counts

2 → 36

Calls

2 calls:

18.0ms

(fma.f64 9 (pow.f64 x 4) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4)))))

8.0ms

(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 y 4)) (*.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4))))

rewrite1.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 20

Calls

2 calls:

0.0ms

(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 y 4)) (*.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4))))

0.0ms

(fma.f64 9 (pow.f64 x 4) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4)))))

simplify78.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

899×	`unsub-neg_binary64`
746×	`times-frac_binary64`
442×	`*-commutative_binary64`
295×	`exp-prod_binary64`
291×	`associate-l_binary64`

Counts

56 → 40

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	607
1	53	535
2	125	479
3	360	479
4	1464	479
5	3054	479
6	4505	479
7	5955	479

prune46.0ms (2.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	1	41

Error

Counts

41 → 1

Alt Table

Status	Error	Program
✓	0b	(+.f64 (+.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 y 4)) (.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4))))) (.f64 2 (.f64 y y)))

Status

Error

Program

✓

(+.f64 (+.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 y 4)) (*.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4))))) (*.f64 2 (*.f64 y y)))

Compiler

Compiled 1740 to 1338 computations (23.1% saved)

regimes68.0ms (3.4%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts

3 → 1

Compiler

Compiled 623 to 488 computations (21.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
3×	`*-commutative_binary64`
2×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	64
1	29	64
2	33	64
3	35	64
4	35	64

end94.0ms (4.6%)

Compiler: Compiled 129 to 102 computations (20.9% saved)

Details

analyze1.0ms (0.1%)

sample1.4s (69.3%)

simplify160.0ms (7.8%)

prune3.0ms (0.1%)

localize8.0ms (0.4%)

series18.0ms (0.9%)

rewrite6.0ms (0.3%)

simplify68.0ms (3.4%)

prune27.0ms (1.3%)

localize14.0ms (0.7%)

series26.0ms (1.3%)

rewrite1.0ms (0.1%)

simplify78.0ms (3.8%)

prune46.0ms (2.3%)

regimes68.0ms (3.4%)

simplify3.0ms (0.1%)

end94.0ms (4.6%)

Profiling