Details

analyze157.0ms (8.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	40.6%	34.4%	7
25%	32.8%	42.2%	8
25%	23.4%	51.6%	9
28.1%	18%	54%	10
31.6%	11.5%	56.9%	11
33.4%	8.9%	57.8%	12
35.2%	5.7%	59.1%	13
36.1%	4.4%	59.4%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.1s (59.6%)

Results

969.0ms	8256×	body	128	valid
37.0ms	314×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify62.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

741×	`neg-mul-1_binary64`
643×	`distribute-rgt-neg-in_binary64`
432×	`unswap-sqr_binary64`
377×	`fma-def_binary64`
290×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	36	10
3	76	10
4	206	10
5	681	10
6	1823	10
7	3044	10
8	4813	10
9	5361	10

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 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

series13.0ms (0.7%)

Counts

1 → 6

Calls

1 calls:

13.0ms

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

rewrite15.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

56×	`unpow-prod-down_binary64`
49×	`prod-diff_binary64`
45×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64`
33×	`add-cube-cbrt_binary64`

Counts

1 → 87

Calls

1 calls:

8.0ms

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

simplify119.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

816×	`fma-def_binary64`
452×	`fma-neg_binary64`
444×	`difference-of-squares_binary64`
254×	`distribute-rgt-in_binary64`
240×	`sqr-pow_binary64`

Counts

93 → 96

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	142	4586
1	255	3379
2	717	1542
3	1291	1032
4	2996	1026
5	4850	1026
6	4717	1026

prune92.0ms (4.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	2	97

Error

Counts

97 → 2

Alt Table

Status	Error	Program
▶	32.7b	(fma.f64 (pow.f64 (sqrt.f64 x) 4) (pow.f64 (sqrt.f64 x) 4) (neg.f64 (pow.f64 y 4)))
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 2766 to 2018 computations (27% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (pow.f64 (sqrt.f64 x) 4) (pow.f64 (sqrt.f64 x) 4) (neg.f64 (pow.f64 y 4)))
✓	0.3b	(pow.f64 (sqrt.f64 x) 4)

series39.0ms (2.1%)

Counts

2 → 14

Calls

2 calls:

28.0ms	(fma.f64 (pow.f64 (sqrt.f64 x) 4) (pow.f64 (sqrt.f64 x) 4) (neg.f64 (pow.f64 y 4)))
10.0ms	(pow.f64 (sqrt.f64 x) 4)

rewrite3.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`unpow-prod-down_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`
4×	`pow1_binary64`

Counts

2 → 35

Calls

2 calls:

2.0ms	(pow.f64 (sqrt.f64 x) 4)
0.0ms	(fma.f64 (pow.f64 (sqrt.f64 x) 4) (pow.f64 (sqrt.f64 x) 4) (neg.f64 (pow.f64 y 4)))

simplify74.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

546×	`exp-prod_binary64`
468×	`unsub-neg_binary64`
326×	`associate-+l+_binary64`
321×	`fma-neg_binary64`
280×	`*-commutative_binary64`

Counts

49 → 57

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	60	554
1	95	385
2	184	379
3	581	376
4	1786	368
5	3423	368
6	4838	368
7	5032	368

prune52.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	92	2	94

Error

Counts

94 → 2

Alt Table

Status	Error	Program
✓	32.7b	(fma.f64 (pow.f64 (sqrt.f64 x) 4) (pow.f64 (sqrt.f64 x) 4) (neg.f64 (pow.f64 y 4)))
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 1529 to 981 computations (35.8% saved)

regimes72.0ms (3.8%)

Accuracy

Total 0.0b remaining (8.9%)

Threshold costs 0.0b (8.9%)

Counts

12 → 1

Compiler

Compiled 1110 to 813 computations (26.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	9	10
2	14	10
3	16	10
4	17	10
5	17	10

end49.0ms (2.6%)

Compiler: Compiled 42 to 32 computations (23.8% saved)

Details

analyze157.0ms (8.3%)

sample1.1s (59.6%)

simplify62.0ms (3.3%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

series13.0ms (0.7%)

rewrite15.0ms (0.8%)

simplify119.0ms (6.3%)

prune92.0ms (4.8%)

localize7.0ms (0.4%)

series39.0ms (2.1%)

rewrite3.0ms (0.2%)

simplify74.0ms (3.9%)

prune52.0ms (2.8%)

regimes72.0ms (3.8%)

simplify2.0ms (0.1%)

end49.0ms (2.6%)

Profiling