Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 8 to 6 computations (25% saved)

sample831.0ms (33.5%)

Infinites

1.2% of outputs are infinite.

Results

737.0ms	8233×	body	128	valid
2.0ms	7×	body	1024	valid
1.0ms	8×	body	512	valid
1.0ms	4×	body	2048	valid
1.0ms	4×	body	256	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify19.0ms (0.8%)

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)

localize3.0ms (0.1%)

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))

rewrite11.0ms (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:

6.0ms

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

simplify126.0ms (5.1%)

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

prune79.0ms (3.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	2	59

Error

0.0b

Counts

59 → 2

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))
	0.6b	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))

Compiler

Compiled 964 to 424 computations (56% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.2%)

Counts

1 → 6

Calls

1 calls:

5.0ms

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

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`distribute-lft-out--_binary64`
1×	`cancel-sign-sub-inv_binary64`
1×	`flip--_binary64`
1×	`sub-neg_binary64`

Counts

1 → 17

Calls

1 calls:

5.0ms

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

simplify60.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

531×	`fma-def_binary64`
509×	`fma-neg_binary64`
469×	`times-frac_binary64`
379×	`distribute-rgt-in_binary64`
323×	`distribute-lft-in_binary64`

Counts

23 → 31

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	235
1	112	203
2	367	200
3	1082	200
4	2658	199
5	4158	199
6	5138	199

prune43.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Error

0.0b

Counts

33 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))
▶	0.6b	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))

Compiler

Compiled 396 to 280 computations (29.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sqrt.f64 500) (-.f64 x y))
✓	0.4b	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))

series24.0ms (1%)

Counts

2 → 48

Calls

2 calls:

17.0ms	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))
7.0ms	(*.f64 (sqrt.f64 500) (-.f64 x y))

rewrite51.0ms (2.1%)

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:

15.0ms	(*.f64 (sqrt.f64 500) (-.f64 x y))
10.0ms	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))

simplify123.0ms (5%)

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

prune92.0ms (3.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	160	3	163

Error

Counts

163 → 3

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))
▶	0.4b	(.f64 (sqrt.f64 (.f64 (cbrt.f64 500) (cbrt.f64 500))) (.f64 (sqrt.f64 (cbrt.f64 500)) (.f64 (sqrt.f64 500) (-.f64 x y))))
✓	0.6b	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))

Compiler

Compiled 3551 to 1988 computations (44% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sqrt.f64 500) (-.f64 x y))
✓	0.3b	(.f64 (sqrt.f64 (.f64 (cbrt.f64 500) (cbrt.f64 500))) (.f64 (sqrt.f64 (cbrt.f64 500)) (.f64 (sqrt.f64 500) (-.f64 x y))))
✓	0.4b	(.f64 (sqrt.f64 (cbrt.f64 500)) (.f64 (sqrt.f64 500) (-.f64 x y)))
✓	1.0b	(*.f64 (cbrt.f64 500) (cbrt.f64 500))

series56.0ms (2.3%)

Counts

3 → 48

Calls

3 calls:

28.0ms

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

28.0ms

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

0.0ms

(*.f64 (cbrt.f64 500) (cbrt.f64 500))

rewrite71.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

208×	`distribute-lft-in_binary64`
208×	`distribute-rgt-in_binary64`
108×	`prod-diff_binary64`
107×	`add-sqr-sqrt_binary64`
99×	`*-un-lft-identity_binary64`

Counts

3 → 252

Calls

3 calls:

17.0ms

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

13.0ms

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

4.0ms

(*.f64 (cbrt.f64 500) (cbrt.f64 500))

simplify297.0ms (11.9%)

Algorithm

1×	egg-herbie

Rules

462×	`associate-r_binary64`
452×	`associate-l_binary64`
400×	`distribute-rgt-in_binary64`
365×	`distribute-lft-in_binary64`
336×	`*-commutative_binary64`

Counts

300 → 293

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	406	9108
1	469	7364
2	1433	7032
3	4033	7025
4	4917	7025

prune340.0ms (13.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	358	0	358
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	358	3	361

Error

Counts

361 → 3

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))
✓	0.4b	(.f64 (sqrt.f64 (.f64 (cbrt.f64 500) (cbrt.f64 500))) (.f64 (sqrt.f64 (cbrt.f64 500)) (.f64 (sqrt.f64 500) (-.f64 x y))))
✓	0.6b	(.f64 (sqrt.f64 500) (.f64 (sqrt.f64 500) (-.f64 x y)))

Compiler

Compiled 11955 to 8452 computations (29.3% saved)

regimes145.0ms (5.9%)

Accuracy

Total 0.0b remaining (30%)

Threshold costs 0.0b (30%)

Counts

28 → 1

Compiler

Compiled 1490 to 1224 computations (17.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
2	8	8

end68.0ms (2.7%)

Compiler: Compiled 55 to 45 computations (18.2% 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

analyze2.0ms (0.1%)

sample831.0ms (33.5%)

simplify19.0ms (0.8%)

prune1.0ms (0.1%)

localize3.0ms (0.1%)

series4.0ms (0.2%)

rewrite11.0ms (0.4%)

simplify126.0ms (5.1%)

prune79.0ms (3.2%)

localize4.0ms (0.2%)

series5.0ms (0.2%)

rewrite5.0ms (0.2%)

simplify60.0ms (2.4%)

prune43.0ms (1.7%)

localize6.0ms (0.2%)

series24.0ms (1%)

rewrite51.0ms (2.1%)

simplify123.0ms (5%)

prune92.0ms (3.7%)

localize11.0ms (0.5%)

series56.0ms (2.3%)

rewrite71.0ms (2.9%)

simplify297.0ms (11.9%)

prune340.0ms (13.7%)

regimes145.0ms (5.9%)

simplify3.0ms (0.1%)

end68.0ms (2.7%)

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