Details

analyze152.0ms (7.8%)

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 (54.7%)

Results

922.0ms	8256×	body	128	valid
36.0ms	327×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify60.0ms (3.1%)

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)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series14.0ms (0.7%)

Counts

1 → 6

Calls

1 calls:

14.0ms

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

rewrite14.0ms (0.7%)

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:

7.0ms

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

simplify108.0ms (5.5%)

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

prune79.0ms (4%)

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
▶	1.7b	(*.f64 1 (-.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 4) 3) (pow.f64 (pow.f64 (cbrt.f64 y) 4) 3)))
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 2770 to 2026 computations (26.9% saved)

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 x)
✓	0.6b	(cbrt.f64 y)
✓	0.7b	(pow.f64 (cbrt.f64 y) 4)
✓	0.7b	(pow.f64 (cbrt.f64 x) 4)

series176.0ms (9%)

Counts

4 → 48

Calls

4 calls:

60.0ms	(pow.f64 (cbrt.f64 x) 4)
57.0ms	(pow.f64 (cbrt.f64 y) 4)
29.0ms	(cbrt.f64 y)
29.0ms	(cbrt.f64 x)

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
12×	`cbrt-prod_binary64`
12×	`unpow-prod-down_binary64`
12×	`add-cube-cbrt_binary64`

Counts

4 → 72

Calls

4 calls:

2.0ms	(pow.f64 (cbrt.f64 x) 4)
2.0ms	(pow.f64 (cbrt.f64 y) 4)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 y)

simplify93.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

672×	`fma-def_binary64`
656×	`sqr-pow_binary64`
468×	`log-prod_binary64`
410×	`*-commutative_binary64`
374×	`exp-prod_binary64`

Counts

120 → 110

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	97	970
1	175	928
2	422	870
3	1183	814
4	2407	726
5	3540	718
6	4929	718
7	4899	718

prune72.0ms (3.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	2	112

Error

Counts

112 → 2

Alt Table

Status	Error	Program
✓	1.7b	(*.f64 1 (-.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 4) 3) (pow.f64 (pow.f64 (cbrt.f64 y) 4) 3)))
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 2120 to 1580 computations (25.5% saved)

regimes39.0ms (2%)

Accuracy

Total 0.0b remaining (11.1%)

Threshold costs 0.0b (11.1%)

Counts

6 → 1

Compiler

Compiled 365 to 308 computations (15.6% 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

end53.0ms (2.7%)

Compiler: Compiled 44 to 36 computations (18.2% saved)

Details

analyze152.0ms (7.8%)

sample1.1s (54.7%)

simplify60.0ms (3.1%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series14.0ms (0.7%)

rewrite14.0ms (0.7%)

simplify108.0ms (5.5%)

prune79.0ms (4%)

localize12.0ms (0.6%)

series176.0ms (9%)

rewrite7.0ms (0.3%)

simplify93.0ms (4.8%)

prune72.0ms (3.7%)

regimes39.0ms (2%)

simplify2.0ms (0.1%)

end53.0ms (2.7%)

Profiling