Details

analyze104.0ms (5.3%)

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
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample700.0ms (35.4%)

Results

652.0ms	8224×	body	128	valid
6.0ms	85×	body	128	invalid
3.0ms	15×	body	1024	valid
2.0ms	9×	body	2048	valid
1.0ms	6×	body	512	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify14.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

113×	`fma-def_binary64`
83×	`fma-neg_binary64`
32×	`distribute-rgt-in_binary64`
26×	`cancel-sign-sub-inv_binary64`
19×	`distribute-lft-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	7

prune1.0ms (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 500 (-.f64 x y))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 500 (-.f64 x y))

series4.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

3.0ms

(*.f64 500 (-.f64 x y))

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
18×	`prod-diff_binary64`
17×	`add-cube-cbrt_binary64`
13×	`distribute-lft-in_binary64`

Counts

1 → 50

Calls

1 calls:

5.0ms

(*.f64 500 (-.f64 x y))

simplify59.0ms (3%)

Algorithm

1×	egg-herbie

Rules

515×	`associate-l_binary64`
436×	`neg-sub0_binary64`
421×	`associate-r_binary64`
419×	`neg-mul-1_binary64`
389×	`fma-neg_binary64`

Counts

74 → 58

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	757
1	184	697
2	493	589
3	2165	589
4	3889	589
5	4897	589

prune32.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	3	59

Error

0.0b

Counts

59 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 500 (-.f64 x y))
	30.4b	(+.f64 (.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 y 1))) 500) (.f64 (fma.f64 (neg.f64 y) 1 (.f64 y 1)) 500))
▶	0.7b	(+.f64 (.f64 (fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (.f64 y 1))) 500) (.f64 (fma.f64 (neg.f64 y) 1 (*.f64 y 1)) 500))

Compiler

Compiled 1029 to 467 computations (54.6% saved)

localize13.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (*.f64 y 1))) 500)
✓	0.1b	(fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (.f64 y 1)))
✓	0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
✓	0.6b	(cbrt.f64 x)

series391.0ms (19.7%)

Counts

4 → 72

Calls

4 calls:

162.0ms	(fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (.f64 y 1)))
154.0ms	(.f64 (fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (*.f64 y 1))) 500)
41.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
33.0ms	(cbrt.f64 x)

rewrite12.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
19×	`cbrt-prod_binary64`
15×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
13×	`pow1_binary64`

Counts

4 → 85

Calls

4 calls:

5.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
2.0ms	(.f64 (fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (*.f64 y 1))) 500)
1.0ms	(cbrt.f64 x)
0.0ms	(fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (.f64 y 1)))

simplify116.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

422×	`log-prod_binary64`
372×	`exp-prod_binary64`
340×	`fma-def_binary64`
330×	`fma-neg_binary64`
327×	`unswap-sqr_binary64`

Counts

157 → 136

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	108	1150
1	187	1061
2	561	1023
3	1281	1009
4	2621	917
5	4193	917
6	4613	917
7	4993	917
8	4863	917

prune116.0ms (5.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	172	3	175

Error

0.0b

Counts

175 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 500 (-.f64 x y))
▶	30.4b	(+.f64 (.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 y 1))) 500) (.f64 (fma.f64 (neg.f64 y) 1 (.f64 y 1)) 500))
✓	0.7b	(+.f64 (.f64 (fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (.f64 y 1))) 500) (.f64 (fma.f64 (neg.f64 y) 1 (*.f64 y 1)) 500))

Compiler

Compiled 4760 to 2706 computations (43.2% saved)

localize11.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 y 1))) 500)
✓	0.1b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 y 1)))

series29.0ms (1.5%)

Counts

2 → 26

Calls

2 calls:

16.0ms	(.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 y 1))) 500)
13.0ms	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 y 1)))

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`
4×	`add-exp-log_binary64`

Counts

2 → 30

Calls

2 calls:

2.0ms	(.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 y 1))) 500)
0.0ms	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 y 1)))

simplify45.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

737×	`unsub-neg_binary64`
724×	`distribute-rgt-neg-out_binary64`
712×	`distribute-rgt-in_binary64`
667×	`distribute-lft-in_binary64`
358×	`fma-def_binary64`

Counts

56 → 60

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	415
1	93	382
2	267	382
3	869	382
4	2918	382
5	5159	382

prune37.0ms (1.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	60	3	63

Error

0.0b

Counts

63 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 500 (-.f64 x y))
✓	30.4b	(+.f64 (.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 y 1))) 500) (.f64 (fma.f64 (neg.f64 y) 1 (.f64 y 1)) 500))
✓	0.7b	(+.f64 (.f64 (fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (.f64 y 1))) 500) (.f64 (fma.f64 (neg.f64 y) 1 (*.f64 y 1)) 500))

Compiler

Compiled 1481 to 943 computations (36.3% saved)

regimes179.0ms (9.1%)

Accuracy

Total 0.0b remaining (9.9%)

Threshold costs 0.0b (9.9%)

Counts

23 → 1

Compiler

Compiled 1852 to 1176 computations (36.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	14	7
3	16	7
4	17	7
5	17	7

end97.0ms (4.9%)

Compiler: Compiled 70 to 50 computations (28.6% saved)

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	7

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	7

Details

analyze104.0ms (5.3%)

sample700.0ms (35.4%)

simplify14.0ms (0.7%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series4.0ms (0.2%)

rewrite8.0ms (0.4%)

simplify59.0ms (3%)

prune32.0ms (1.6%)

localize13.0ms (0.7%)

series391.0ms (19.7%)

rewrite12.0ms (0.6%)

simplify116.0ms (5.9%)

prune116.0ms (5.9%)

localize11.0ms (0.5%)

series29.0ms (1.5%)

rewrite4.0ms (0.2%)

simplify45.0ms (2.3%)

prune37.0ms (1.9%)

regimes179.0ms (9.1%)

simplify2.0ms (0.1%)

end97.0ms (4.9%)

Profiling

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	7