Details

analyze900.0ms (29.5%)

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
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
18.7%	70.2%	11.1%	11
21.1%	66.7%	12.3%	12
31.6%	55.9%	12.5%	13
34.5%	52.3%	13.2%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.2s (38.9%)

Results

933.0ms	8256×	body	128	valid
220.0ms	1894×	body	128	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`fma-def_binary64`
8×	`+-commutative_binary64`
4×	`associate-+r+_binary64`
4×	`associate-+l+_binary64`
3×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	25	9
3	38	9
4	52	9
5	52	9

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

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 y (fma.f64 x y z) t)

Compiler

Compiled 42 to 22 computations (47.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 y (fma.f64 x y z) t)

series15.0ms (0.5%)

Counts

1 → 48

Calls

1 calls:

15.0ms

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

simplify64.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

775×	`associate-+l+_binary64`
772×	`associate-+r+_binary64`
678×	`unswap-sqr_binary64`
551×	`*-commutative_binary64`
295×	`distribute-lft-in_binary64`

Counts

58 → 31

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	697
1	47	499
2	84	499
3	257	499
4	1272	499
5	3520	499
6	4213	499
7	5348	499

prune18.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Error

0.0b

Counts

32 → 3

Alt Table

Status	Error	Program
▶	4.7b	(+.f64 (.f64 y z) (+.f64 t (.f64 (pow.f64 y 2) x)))
✓	0.1b	(fma.f64 y (fma.f64 x y z) t)
	28.8b	(*.f64 (sqrt.f64 (fma.f64 y (fma.f64 x y z) t)) (sqrt.f64 (fma.f64 y (fma.f64 x y z) t)))

Compiler

Compiled 393 to 117 computations (70.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 t (*.f64 (pow.f64 y 2) x))
✓	0.0b	(+.f64 (.f64 y z) (+.f64 t (.f64 (pow.f64 y 2) x)))
✓	8.4b	(*.f64 (pow.f64 y 2) x)

series40.0ms (1.3%)

Counts

3 → 33

Calls

3 calls:

20.0ms	(+.f64 (.f64 y z) (+.f64 t (.f64 (pow.f64 y 2) x)))
11.0ms	(+.f64 t (*.f64 (pow.f64 y 2) x))
8.0ms	(*.f64 (pow.f64 y 2) x)

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
10×	`add-log-exp_binary64`
8×	`associate-l_binary64`
8×	`add-exp-log_binary64`
7×	`*-un-lft-identity_binary64`

Counts

3 → 61

Calls

3 calls:

4.0ms	(+.f64 (.f64 y z) (+.f64 t (.f64 (pow.f64 y 2) x)))
4.0ms	(*.f64 (pow.f64 y 2) x)
2.0ms	(+.f64 t (*.f64 (pow.f64 y 2) x))

simplify103.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

447×	`fma-def_binary64`
404×	`sub-neg_binary64`
344×	`fma-neg_binary64`
329×	`distribute-rgt-in_binary64`
291×	`distribute-lft-in_binary64`

Counts

94 → 108

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	1107
1	275	940
2	892	932
3	2642	932
4	4258	932
5	4933	932
6	4942	932

prune68.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	106	5	111

Error

0.0b

Counts

111 → 5

Alt Table

Status	Error	Program
	26.2b	(+.f64 (.f64 y z) (/.f64 (-.f64 (.f64 t t) (.f64 (.f64 (pow.f64 y 2) x) (.f64 (pow.f64 y 2) x))) (-.f64 t (.f64 (pow.f64 y 2) x))))
✓	4.7b	(+.f64 (.f64 y z) (+.f64 t (.f64 (pow.f64 y 2) x)))
▶	0.1b	(+.f64 (.f64 y z) (+.f64 t (.f64 y (*.f64 y x))))
✓	0.1b	(fma.f64 y (fma.f64 x y z) t)
	33.3b	(+.f64 (.f64 y z) (+.f64 t (.f64 (.f64 y (.f64 y (sqrt.f64 x))) (sqrt.f64 x))))

Compiler

Compiled 1927 to 867 computations (55% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 t (.f64 y (.f64 y x)))
✓	0.0b	(+.f64 (.f64 y z) (+.f64 t (.f64 y (*.f64 y x))))
✓	0.1b	(.f64 y (.f64 y x))

series40.0ms (1.3%)

Counts

3 → 108

Calls

3 calls:

18.0ms	(+.f64 (.f64 y z) (+.f64 t (.f64 y (*.f64 y x))))
13.0ms	(+.f64 t (.f64 y (.f64 y x)))
10.0ms	(.f64 y (.f64 y x))

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
8×	`add-cbrt-cube_binary64`
8×	`add-exp-log_binary64`
8×	`pow1_binary64`
5×	`*-un-lft-identity_binary64`

Counts

3 → 52

Calls

3 calls:

4.0ms	(+.f64 (.f64 y z) (+.f64 t (.f64 y (*.f64 y x))))
4.0ms	(.f64 y (.f64 y x))
2.0ms	(+.f64 t (.f64 y (.f64 y x)))

simplify88.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

480×	`fma-def_binary64`
429×	`sub-neg_binary64`
416×	`fma-neg_binary64`
331×	`distribute-rgt-in_binary64`
299×	`cancel-sign-sub-inv_binary64`

Counts

160 → 92

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	1748
1	261	1533
2	908	1381
3	2722	1379
4	4636	1379
5	5098	1379

prune49.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	1	1	2
Picked	1	0	1
Done	1	1	2
Total	93	4	97

Error

0.0b

Counts

97 → 4

Alt Table

Status	Error	Program
✓	4.7b	(+.f64 (.f64 y z) (+.f64 t (.f64 (pow.f64 y 2) x)))
	33.3b	(+.f64 (.f64 y z) (+.f64 t (.f64 (.f64 y (.f64 y (sqrt.f64 x))) (sqrt.f64 x))))
▶	0.1b	(fma.f64 y z (+.f64 t (.f64 y (.f64 y x))))
	31.5b	(+.f64 (.f64 y z) (+.f64 t (.f64 (sqrt.f64 y) (*.f64 x (pow.f64 y 3/2)))))

Compiler

Compiled 1595 to 419 computations (73.7% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y z (+.f64 t (.f64 y (.f64 y x))))
	0.0b	(+.f64 t (.f64 y (.f64 y x)))
	0.1b	(.f64 y (.f64 y x))

series18.0ms (0.6%)

Counts

1 → 48

Calls

1 calls:

18.0ms

(fma.f64 y z (+.f64 t (*.f64 y (*.f64 y 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 z (+.f64 t (*.f64 y (*.f64 y x))))

simplify86.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

862×	`distribute-rgt-in_binary64`
858×	`distribute-lft-in_binary64`
428×	`associate-l_binary64`
371×	`associate-r_binary64`
318×	`fma-def_binary64`

Counts

58 → 30

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	750
1	44	630
2	123	495
3	504	495
4	3340	495
5	3637	495
6	4317	495
7	4982	495
8	4834	495

prune47.0ms (1.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Error

0.0b

Counts

88 → 4

Alt Table

Status	Error	Program
✓	4.7b	(+.f64 (.f64 y z) (+.f64 t (.f64 (pow.f64 y 2) x)))
	33.3b	(+.f64 (.f64 y z) (+.f64 t (.f64 (.f64 y (.f64 y (sqrt.f64 x))) (sqrt.f64 x))))
	31.5b	(fma.f64 y z (+.f64 t (.f64 (sqrt.f64 y) (.f64 x (pow.f64 y 3/2)))))
✓	0.1b	(fma.f64 y z (+.f64 t (.f64 y (.f64 y x))))

Compiler

Compiled 1269 to 350 computations (72.4% saved)

regimes206.0ms (6.7%)

Accuracy

Total 0.0b remaining (67.7%)

Threshold costs 0.0b (67.7%)

Counts

37 → 1

Compiler

Compiled 3536 to 2116 computations (40.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	12	14
2	12	14

end58.0ms (1.9%)

Compiler: Compiled 93 to 56 computations (39.8% saved)

Details

analyze900.0ms (29.5%)

sample1.2s (38.9%)

simplify7.0ms (0.2%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series15.0ms (0.5%)

rewrite1.0ms (0%)

simplify64.0ms (2.1%)

prune18.0ms (0.6%)

localize7.0ms (0.2%)

series40.0ms (1.3%)

rewrite13.0ms (0.4%)

simplify103.0ms (3.4%)

prune68.0ms (2.2%)

localize8.0ms (0.3%)

series40.0ms (1.3%)

rewrite12.0ms (0.4%)

simplify88.0ms (2.9%)

prune49.0ms (1.6%)

localize8.0ms (0.3%)

series18.0ms (0.6%)

rewrite1.0ms (0%)

simplify86.0ms (2.8%)

prune47.0ms (1.5%)

regimes206.0ms (6.7%)

simplify3.0ms (0.1%)

end58.0ms (1.9%)

Profiling