Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 8 to 6 computations (25% saved)

sample536.0ms (38.8%)

Infinites

0% of outputs are infinite.

Results

484.0ms

8256×

body

128

valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
2	7	7

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 x (/.f64 y 500))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 y 500))

series4.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

4.0ms

(+.f64 x (/.f64 y 500))

rewrite5.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64`
3×	`add-log-exp_binary64`
3×	`fma-def_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`

Counts

1 → 17

Calls

1 calls:

5.0ms

(+.f64 x (/.f64 y 500))

simplify91.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

636×	`unswap-sqr_binary64`
507×	`fma-neg_binary64`
412×	`distribute-rgt-out_binary64`
314×	`associate-+l+_binary64`
287×	`cancel-sign-sub-inv_binary64`

Counts

41 → 30

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	32	280
1	93	265
2	201	262
3	452	262
4	1131	260
5	2445	234
6	3841	234
7	4882	234
8	4845	234

prune21.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Error

Counts

31 → 3

Alt Table

Status	Error	Program
	1.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 1/500 y x)) (cbrt.f64 (fma.f64 1/500 y x))) (cbrt.f64 (fma.f64 1/500 y x)))
▶	0.1b	(fma.f64 1/500 y x)
✓	0.0b	(+.f64 x (/.f64 y 500))

Compiler

Compiled 346 to 227 computations (34.4% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 1/500 y x)

series4.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

4.0ms

(fma.f64 1/500 y x)

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 1/500 y x)

simplify109.0ms (7.9%)

Algorithm

1×	egg-herbie

Rules

645×	`distribute-rgt-in_binary64`
623×	`distribute-lft-out_binary64`
494×	`distribute-lft-in_binary64`
445×	`distribute-rgt-out_binary64`
412×	`*-commutative_binary64`

Counts

34 → 14

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	193
1	19	182
2	42	182
3	103	182
4	282	182
5	916	182
6	1568	182
7	2166	182
8	2356	182
9	2900	182
10	3204	182
11	3902	182
12	5196	182

prune18.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	14	3	17

Error

Counts

17 → 3

Alt Table

Status	Error	Program
▶	1.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 1/500 y x)) (cbrt.f64 (fma.f64 1/500 y x))) (cbrt.f64 (fma.f64 1/500 y x)))
✓	0.1b	(fma.f64 1/500 y x)
✓	0.0b	(+.f64 x (/.f64 y 500))

Compiler

Compiled 152 to 100 computations (34.2% saved)

localize6.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 1/500 y x)
✓	0.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 1/500 y x)) (cbrt.f64 (fma.f64 1/500 y x))) (cbrt.f64 (fma.f64 1/500 y x)))
✓	0.5b	(*.f64 (cbrt.f64 (fma.f64 1/500 y x)) (cbrt.f64 (fma.f64 1/500 y x)))
✓	0.5b	(cbrt.f64 (fma.f64 1/500 y x))

series53.0ms (3.8%)

Counts

3 → 72

Calls

3 calls:

23.0ms

(*.f64 (cbrt.f64 (fma.f64 1/500 y x)) (cbrt.f64 (fma.f64 1/500 y x)))

22.0ms

(cbrt.f64 (fma.f64 1/500 y x))

7.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 1/500 y x)) (cbrt.f64 (fma.f64 1/500 y x))) (cbrt.f64 (fma.f64 1/500 y x)))

rewrite16.0ms (1.2%)

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 1/500 y x)) (cbrt.f64 (fma.f64 1/500 y x))) (cbrt.f64 (fma.f64 1/500 y x)))

4.0ms

(*.f64 (cbrt.f64 (fma.f64 1/500 y x)) (cbrt.f64 (fma.f64 1/500 y x)))

1.0ms

(cbrt.f64 (fma.f64 1/500 y x))

simplify111.0ms (8%)

Algorithm

1×	egg-herbie

Rules

849×	`times-frac_binary64`
627×	`fma-def_binary64`
254×	`fma-neg_binary64`
218×	`cancel-sign-sub-inv_binary64`
196×	`associate-r_binary64`

Counts

165 → 210

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	268	3565
1	696	3351
2	2158	3016
3	4936	3016
4	5038	3016

prune277.0ms (20%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	378	0	378
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	378	3	381

Error

Counts

381 → 3

Alt Table

Status	Error	Program
✓	1.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 1/500 y x)) (cbrt.f64 (fma.f64 1/500 y x))) (cbrt.f64 (fma.f64 1/500 y x)))
✓	0.1b	(fma.f64 1/500 y x)
✓	0.0b	(+.f64 x (/.f64 y 500))

Compiler

Compiled 10916 to 7801 computations (28.5% saved)

regimes66.0ms (4.7%)

Accuracy

Total 0.0b remaining (73%)

Threshold costs 0.0b (73%)

Counts

15 → 1

Compiler

Compiled 712 to 538 computations (24.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
2	7	7

end45.0ms (3.2%)

Compiler: Compiled 46 to 32 computations (30.4% saved)

Details

analyze1.0ms (0.1%)

sample536.0ms (38.8%)

simplify6.0ms (0.5%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

series4.0ms (0.3%)

rewrite5.0ms (0.4%)

simplify91.0ms (6.6%)

prune21.0ms (1.5%)

localize3.0ms (0.2%)

series4.0ms (0.3%)

rewrite1.0ms (0%)

simplify109.0ms (7.9%)

prune18.0ms (1.3%)

localize6.0ms (0.4%)

series53.0ms (3.8%)

rewrite16.0ms (1.2%)

simplify111.0ms (8%)

prune277.0ms (20%)

regimes66.0ms (4.7%)

simplify2.0ms (0.1%)

end45.0ms (3.2%)

Profiling