Details

analyze607.0ms (25.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
12.5%	87.3%	0.2%	7
18.7%	81.1%	0.2%	8
46.8%	53%	0.2%	9
47.6%	52.2%	0.2%	10
48.3%	51.5%	0.2%	11
54.2%	45.6%	0.2%	12
67.6%	32.2%	0.2%	13
68.2%	31.6%	0.2%	14

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample169.0ms (7.1%)

Algorithm

1×

intervals

Symmetry

(sort y z)

Results

12.0ms	256×	body	128	valid
2.0ms	39×	body	128	invalid

Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify26.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

382×	`fma-def_binary64`
322×	`fma-neg_binary64`
113×	`cancel-sign-sub-inv_binary64`
53×	`unsub-neg_binary64`
52×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	51	15
3	95	14
4	192	12
5	326	12
6	479	12
7	626	12
8	798	12
9	857	12
10	783	12

prune3.0ms (0.1%)

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 (*.f64 y z) -1/2 (fma.f64 1/8 x t))

Compiler

Compiled 52 to 35 computations (32.7% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))

series16.0ms (0.7%)

Counts

1 → 48

Calls

1 calls:

16.0ms

(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x 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 (*.f64 y z) -1/2 (fma.f64 1/8 x t))

simplify72.0ms (3%)

Algorithm

1×	egg-herbie

Rules

422×	`distribute-lft-in_binary64`
422×	`distribute-rgt-in_binary64`
368×	`distribute-lft-neg-out_binary64`
366×	`distribute-rgt-neg-out_binary64`
319×	`associate-l_binary64`

Counts

58 → 29

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	750
1	50	651
2	95	649
3	396	649
4	2320	649
5	4993	649
6	4952	649

prune23.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	2	30

Error

Counts

30 → 2

Alt Table

Status	Error	Program
▶	47.5b	(cbrt.f64 (pow.f64 (fma.f64 1/8 x (fma.f64 (*.f64 y z) -1/2 t)) 3))
✓	0.0b	(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))

Compiler

Compiled 390 to 216 computations (44.6% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (*.f64 y z) -1/2 t)
✓	0.1b	(pow.f64 (fma.f64 1/8 x (fma.f64 (*.f64 y z) -1/2 t)) 3)
✓	44.5b	(cbrt.f64 (pow.f64 (fma.f64 1/8 x (fma.f64 (*.f64 y z) -1/2 t)) 3))

series87.0ms (3.7%)

Counts

3 → 132

Calls

3 calls:

66.0ms	(pow.f64 (fma.f64 1/8 x (fma.f64 (*.f64 y z) -1/2 t)) 3)
14.0ms	(cbrt.f64 (pow.f64 (fma.f64 1/8 x (fma.f64 (*.f64 y z) -1/2 t)) 3))
7.0ms	(fma.f64 (*.f64 y z) -1/2 t)

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
6×	`cube-prod_binary64`

Counts

3 → 58

Calls

3 calls:

2.0ms	(cbrt.f64 (pow.f64 (fma.f64 1/8 x (fma.f64 (*.f64 y z) -1/2 t)) 3))
1.0ms	(pow.f64 (fma.f64 1/8 x (fma.f64 (*.f64 y z) -1/2 t)) 3)
0.0ms	(fma.f64 (*.f64 y z) -1/2 t)

simplify145.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

568×	`associate--r+_binary64`
245×	`unswap-sqr_binary64`
245×	`fma-neg_binary64`
244×	`sub-neg_binary64`
214×	`distribute-rgt-in_binary64`

Counts

190 → 129

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	5377
1	496	4982
2	1815	4823
3	4714	4823
4	5108	4823

prune81.0ms (3.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	129	2	131

Error

Counts

131 → 2

Alt Table

Status	Error	Program
✓	47.5b	(cbrt.f64 (pow.f64 (fma.f64 1/8 x (fma.f64 (*.f64 y z) -1/2 t)) 3))
✓	0.0b	(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))

Compiler

Compiled 3303 to 2041 computations (38.2% saved)

regimes268.0ms (11.3%)

Accuracy

Total -0.0b remaining (-161.2%)

Threshold costs -0.0b (-161.2%)

Counts

23 → 1

Compiler

Compiled 2996 to 2303 computations (23.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	12
1	16	12
2	15	12

end10.0ms (0.4%)

Remove: (sort y z)
Compiler: Compiled 39 to 27 computations (30.8% saved)

sample839.0ms (35.4%)

Algorithm

1×

intervals

Results

415.0ms	7998×	body	128	valid
63.0ms	1182×	body	128	invalid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 64 to 48 computations (25% saved)

Iter	Nodes	Cost
0	15	16
1	27	16
2	51	15
3	95	14
4	192	12
5	326	12
6	479	12
7	626	12
8	798	12
9	857	12
10	783	12

Iter	Nodes	Cost
0	15	16
1	27	16
2	51	15
3	95	14
4	192	12
5	326	12
6	479	12
7	626	12
8	798	12
9	857	12
10	783	12

Details

analyze607.0ms (25.6%)

sample169.0ms (7.1%)

simplify26.0ms (1.1%)

prune3.0ms (0.1%)

localize6.0ms (0.3%)

series16.0ms (0.7%)

rewrite1.0ms (0%)

simplify72.0ms (3%)

prune23.0ms (1%)

localize9.0ms (0.4%)

series87.0ms (3.7%)

rewrite6.0ms (0.2%)

simplify145.0ms (6.1%)

prune81.0ms (3.4%)

regimes268.0ms (11.3%)

simplify2.0ms (0.1%)

end10.0ms (0.4%)

sample839.0ms (35.4%)

Profiling

Iter	Nodes	Cost
0	15	16
1	27	16
2	51	15
3	95	14
4	192	12
5	326	12
6	479	12
7	626	12
8	798	12
9	857	12
10	783	12