Details

analyze405.0ms (14.1%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
34.3%	63.2%	2.5%	9
40.6%	52.7%	6.8%	10
48.4%	42.1%	9.5%	11
56.2%	32.3%	11.6%	12
59.1%	26.6%	14.3%	13
63.9%	20.9%	15.3%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample918.0ms (31.9%)

Results

787.0ms	8256×	body	128	valid
49.0ms	555×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify23.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

278×	`fma-def_binary64`
251×	`fma-neg_binary64`
71×	`cancel-sign-sub-inv_binary64`
55×	`distribute-rgt-in_binary64`
41×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	46	8
4	81	8
5	139	8
6	212	8
7	345	8
8	487	8
9	601	8
10	661	8
11	668	8
12	625	8

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 y (-.f64 z x) x)

Compiler

Compiled 34 to 17 computations (50% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y (-.f64 z x) x)

series7.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

6.0ms

(fma.f64 y (-.f64 z x) 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 y (-.f64 z x) x)

simplify55.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

694×	`neg-mul-1_binary64`
479×	`distribute-rgt-neg-out_binary64`
433×	`distribute-lft-neg-out_binary64`
343×	`distribute-rgt-in_binary64`
336×	`distribute-lft-in_binary64`

Counts

46 → 21

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	472
1	66	374
2	137	374
3	363	374
4	1693	374
5	3955	374
6	5046	374

prune12.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Error

0.0b

Counts

22 → 3

Alt Table

Status	Error	Program
	38.7b	(cbrt.f64 (.f64 (.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 y (-.f64 z x) x)) (fma.f64 y (-.f64 z x) x)))
✓	0.0b	(fma.f64 y (-.f64 z x) x)
▶	1.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (cbrt.f64 (fma.f64 y (-.f64 z x) x))) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))

Compiler

Compiled 288 to 86 computations (70.1% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 y (-.f64 z x) x)
✓	0.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (cbrt.f64 (fma.f64 y (-.f64 z x) x))) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))
✓	0.5b	(*.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))
✓	0.6b	(cbrt.f64 (fma.f64 y (-.f64 z x) x))

series281.0ms (9.8%)

Counts

3 → 108

Calls

3 calls:

204.0ms

(*.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))

69.0ms

(cbrt.f64 (fma.f64 y (-.f64 z x) x))

8.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (cbrt.f64 (fma.f64 y (-.f64 z x) x))) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))

rewrite18.0ms (0.6%)

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 y (-.f64 z x) x)) (cbrt.f64 (fma.f64 y (-.f64 z x) x))) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))

4.0ms

(*.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))

1.0ms

(cbrt.f64 (fma.f64 y (-.f64 z x) x))

simplify177.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-def_binary64`
380×	`*-commutative_binary64`
193×	`+-commutative_binary64`
182×	`cancel-sign-sub-inv_binary64`
179×	`sub-neg_binary64`

Counts

201 → 259

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	968	12771
1	3492	12139
2	5179	12139

prune464.0ms (16.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	490	0	490
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	490	3	493

Error

0.0b

Counts

493 → 3

Alt Table

Status	Error	Program
▶	38.7b	(cbrt.f64 (.f64 (.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 y (-.f64 z x) x)) (fma.f64 y (-.f64 z x) x)))
✓	0.0b	(fma.f64 y (-.f64 z x) x)
✓	1.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (cbrt.f64 (fma.f64 y (-.f64 z x) x))) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))

Compiler

Compiled 32022 to 15670 computations (51.1% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 y (-.f64 z x) x)
✓	0.1b	(.f64 (.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 y (-.f64 z x) x)) (fma.f64 y (-.f64 z x) x))
✓	0.2b	(*.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 y (-.f64 z x) x))
✓	36.7b	(cbrt.f64 (.f64 (.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 y (-.f64 z x) x)) (fma.f64 y (-.f64 z x) x)))

series86.0ms (3%)

Counts

3 → 108

Calls

3 calls:

54.0ms

(*.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 y (-.f64 z x) x)) (fma.f64 y (-.f64 z x) x))

21.0ms

(*.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 y (-.f64 z x) x))

10.0ms

(cbrt.f64 (*.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 y (-.f64 z x) x)) (fma.f64 y (-.f64 z x) x)))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
13×	`add-cbrt-cube_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64`
8×	`*-un-lft-identity_binary64`

Counts

3 → 74

Calls

3 calls:

4.0ms

(*.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 y (-.f64 z x) x)) (fma.f64 y (-.f64 z x) x))

3.0ms

(cbrt.f64 (*.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 y (-.f64 z x) x)) (fma.f64 y (-.f64 z x) x)))

3.0ms

(*.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 y (-.f64 z x) x))

simplify114.0ms (4%)

Algorithm

1×	egg-herbie

Rules

542×	`distribute-rgt-in_binary64`
415×	`fma-neg_binary64`
267×	`fma-def_binary64`
257×	`unswap-sqr_binary64`
242×	`associate-r_binary64`

Counts

182 → 160

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	6550
1	637	5120
2	2435	4767
3	5786	4767

prune95.0ms (3.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	223	3	226

Error

0.0b

Counts

226 → 3

Alt Table

Status	Error	Program
✓	38.7b	(cbrt.f64 (.f64 (.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 y (-.f64 z x) x)) (fma.f64 y (-.f64 z x) x)))
✓	0.0b	(fma.f64 y (-.f64 z x) x)
✓	1.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (cbrt.f64 (fma.f64 y (-.f64 z x) x))) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))

Compiler

Compiled 6113 to 1853 computations (69.7% saved)

regimes139.0ms (4.8%)

Accuracy

Total 0.0b remaining (23.1%)

Threshold costs 0.0b (23.1%)

Counts

36 → 1

Compiler

Compiled 2356 to 1302 computations (44.7% 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	6	8
1	8	8
2	13	8
3	15	8
4	16	8
5	16	8

end43.0ms (1.5%)

Compiler: Compiled 77 to 31 computations (59.7% saved)

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	46	8
4	81	8
5	139	8
6	212	8
7	345	8
8	487	8
9	601	8
10	661	8
11	668	8
12	625	8

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	46	8
4	81	8
5	139	8
6	212	8
7	345	8
8	487	8
9	601	8
10	661	8
11	668	8
12	625	8

Details

analyze405.0ms (14.1%)

sample918.0ms (31.9%)

simplify23.0ms (0.8%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series7.0ms (0.2%)

rewrite1.0ms (0%)

simplify55.0ms (1.9%)

prune12.0ms (0.4%)

localize7.0ms (0.3%)

series281.0ms (9.8%)

rewrite18.0ms (0.6%)

simplify177.0ms (6.1%)

prune464.0ms (16.1%)

localize7.0ms (0.3%)

series86.0ms (3%)

rewrite14.0ms (0.5%)

simplify114.0ms (4%)

prune95.0ms (3.3%)

regimes139.0ms (4.8%)

simplify2.0ms (0.1%)

end43.0ms (1.5%)

Profiling

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	46	8
4	81	8
5	139	8
6	212	8
7	345	8
8	487	8
9	601	8
10	661	8
11	668	8
12	625	8