Details

analyze88.0ms (4.5%)

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)

sample39.0ms (2%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify17.0ms (0.9%)

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)

localize5.0ms (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:

4.0ms

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

rewrite9.0ms (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))

simplify67.0ms (3.4%)

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

prune30.0ms (1.5%)

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

Counts

59 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 500 (-.f64 x y))
▶	0.6b	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))
	0.6b	(+.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 1005 to 451 computations (55.1% saved)

localize10.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (sqrt.f64 500) (-.f64 x y))
✓	0.4b	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))

series22.0ms (1.1%)

Counts

2 → 48

Calls

2 calls:

15.0ms	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))
6.0ms	(*.f64 (sqrt.f64 500) (-.f64 x y))

rewrite26.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`distribute-lft-in_binary64`
65×	`distribute-rgt-in_binary64`
55×	`add-sqr-sqrt_binary64`
54×	`prod-diff_binary64`
51×	`*-un-lft-identity_binary64`

Counts

2 → 131

Calls

2 calls:

9.0ms	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))
7.0ms	(*.f64 (sqrt.f64 500) (-.f64 x y))

simplify110.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

933×	`fma-def_binary64`
321×	`*-commutative_binary64`
281×	`exp-prod_binary64`
273×	`distribute-rgt-in_binary64`
255×	`distribute-lft-in_binary64`

Counts

179 → 161

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	213	2558
1	279	1974
2	865	1650
3	2311	1642
4	4696	1642
5	4736	1642

prune81.0ms (4.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	161	3	164

Error

Counts

164 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 500 (-.f64 x y))
✓	0.6b	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))
▶	0.6b	(+.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 3563 to 1988 computations (44.2% saved)

localize16.0ms (0.8%)

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)

series425.0ms (21.6%)

Counts

4 → 72

Calls

4 calls:

176.0ms	(fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (.f64 y 1)))
171.0ms	(.f64 (fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (*.f64 y 1))) 500)
42.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
37.0ms	(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:

4.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
3.0ms	(.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)))

simplify121.0ms (6.2%)

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

prune289.0ms (14.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	172	3	175

Error

Counts

175 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 500 (-.f64 x y))
✓	0.6b	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))
✓	0.6b	(+.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 4725 to 2681 computations (43.3% saved)

regimes50.0ms (2.6%)

Accuracy

Total 0.0b remaining (39.6%)

Threshold costs 0.0b (39.6%)

Counts

10 → 1

Compiler

Compiled 756 to 460 computations (39.2% 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

end0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

sample539.0ms (27.4%)

Algorithm

1×

intervals

Results

222.0ms	7969×	body	128	valid
3.0ms	6×	body	2048	valid
1.0ms	71×	body	128	invalid
1.0ms	9×	body	1024	valid
0.0ms	9×	body	512	valid
0.0ms	7×	body	256	valid

Compiler

Compiled 61 to 45 computations (26.2% 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

analyze88.0ms (4.5%)

sample39.0ms (2%)

simplify17.0ms (0.9%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

series4.0ms (0.2%)

rewrite9.0ms (0.4%)

simplify67.0ms (3.4%)

prune30.0ms (1.5%)

localize10.0ms (0.5%)

series22.0ms (1.1%)

rewrite26.0ms (1.3%)

simplify110.0ms (5.6%)

prune81.0ms (4.1%)

localize16.0ms (0.8%)

series425.0ms (21.6%)

rewrite12.0ms (0.6%)

simplify121.0ms (6.2%)

prune289.0ms (14.7%)

regimes50.0ms (2.6%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample539.0ms (27.4%)

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