Details

analyze337.0ms (15.4%)

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
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.2%	11.6%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample93.0ms (4.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	20×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify24.0ms (1.1%)

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

prune6.0ms (0.3%)

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 (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

7.0ms

(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)

simplify57.0ms (2.6%)

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

prune11.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	2	22

Error

Counts

22 → 2

Alt Table

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

Compiler

Compiled 240 to 70 computations (70.8% 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)))
✓	0.6b	(*.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))

series307.0ms (14%)

Counts

3 → 108

Calls

3 calls:

226.0ms

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

73.0ms

(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)))

rewrite17.0ms (0.8%)

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))

simplify180.0ms (8.2%)

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

prune474.0ms (21.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	490	0	490
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	490	2	492

Error

Counts

492 → 2

Alt Table

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

Compiler

Compiled 31974 to 15654 computations (51% saved)

regimes84.0ms (3.8%)

Accuracy

Total 0.0b remaining (21.3%)

Threshold costs 0.0b (21.3%)

Counts

21 → 1

Compiler

Compiled 1312 to 690 computations (47.4% 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

end0.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

sample580.0ms (26.4%)

Algorithm

1×

intervals

Results

274.0ms	8000×	body	128	valid
27.0ms	583×	body	128	invalid

Compiler

Compiled 58 to 28 computations (51.7% 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

analyze337.0ms (15.4%)

sample93.0ms (4.3%)

simplify24.0ms (1.1%)

prune6.0ms (0.3%)

localize4.0ms (0.2%)

series7.0ms (0.3%)

rewrite1.0ms (0%)

simplify57.0ms (2.6%)

prune11.0ms (0.5%)

localize7.0ms (0.3%)

series307.0ms (14%)

rewrite17.0ms (0.8%)

simplify180.0ms (8.2%)

prune474.0ms (21.6%)

regimes84.0ms (3.8%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample580.0ms (26.4%)

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