Details

analyze55.0ms (3.2%)

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
50%	50%	0.1%	4
50%	50%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
87.4%	12.5%	0.1%	8
87.4%	12.5%	0.1%	9
93.7%	6.2%	0.1%	10
93.7%	6.2%	0.1%	11
96.8%	3.1%	0.1%	12
96.8%	3.1%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample761.0ms (44.6%)

Results

724.0ms

8256×

body

128

valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify15.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

57×	`fma-neg_binary64`
53×	`fma-def_binary64`
22×	`cancel-sign-sub-inv_binary64`
15×	`sub-neg_binary64`
11×	`neg-mul-1_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	36	7
5	60	5
6	93	5
7	116	5
8	146	5
9	168	5
10	200	5
11	213	5
12	216	5
13	178	5

prune3.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.1b	(fma.f64 y -1/200 x)
▶	0.0b	(-.f64 x (/.f64 y 200))

Compiler

Compiled 37 to 25 computations (32.4% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 y 200))

series3.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

3.0ms

(-.f64 x (/.f64 y 200))

rewrite11.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64`
45×	`*-un-lft-identity_binary64`
43×	`add-cube-cbrt_binary64`
39×	`prod-diff_binary64`
37×	`times-frac_binary64`

Counts

1 → 71

Calls

1 calls:

6.0ms

(-.f64 x (/.f64 y 200))

simplify93.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1018×	`fma-def_binary64`
389×	`associate-*l/_binary64`
363×	`associate-*r/_binary64`
296×	`associate-/l*_binary64`
229×	`fma-neg_binary64`

Counts

95 → 91

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	1175
1	425	964
2	970	590
3	3361	590
4	4093	590
5	4958	590
6	4602	590

prune77.0ms (4.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	91	2	93

Error

Counts

93 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 x (/.f64 y 200))
▶	32.0b	(+.f64 x (*.f64 (neg.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 200))) (/.f64 (sqrt.f64 y) (sqrt.f64 200))))

Compiler

Compiled 2179 to 1425 computations (34.6% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 (neg.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 200))) (/.f64 (sqrt.f64 y) (sqrt.f64 200))))
✓	0.1b	(/.f64 (sqrt.f64 y) (sqrt.f64 200))
✓	0.2b	(*.f64 (neg.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 200))) (/.f64 (sqrt.f64 y) (sqrt.f64 200)))

series64.0ms (3.8%)

Counts

3 → 28

Calls

3 calls:

35.0ms

(+.f64 x (*.f64 (neg.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 200))) (/.f64 (sqrt.f64 y) (sqrt.f64 200))))

23.0ms

(*.f64 (neg.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 200))) (/.f64 (sqrt.f64 y) (sqrt.f64 200)))

6.0ms

(/.f64 (sqrt.f64 y) (sqrt.f64 200))

rewrite76.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Rules

154×	`sqrt-prod_binary64`
148×	`times-frac_binary64`
124×	`add-sqr-sqrt_binary64`
108×	`*-un-lft-identity_binary64`
108×	`add-cube-cbrt_binary64`

Counts

3 → 229

Calls

3 calls:

45.0ms

(*.f64 (neg.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 200))) (/.f64 (sqrt.f64 y) (sqrt.f64 200)))

4.0ms

(/.f64 (sqrt.f64 y) (sqrt.f64 200))

2.0ms

(+.f64 x (*.f64 (neg.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 200))) (/.f64 (sqrt.f64 y) (sqrt.f64 200))))

simplify147.0ms (8.6%)

Algorithm

1×	egg-herbie

Rules

783×	`fma-def_binary64`
514×	`times-frac_binary64`
382×	`associate-/l/_binary64`
254×	`distribute-lft-neg-out_binary64`
244×	`distribute-rgt-neg-out_binary64`

Counts

257 → 293

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	4900
1	625	4405
2	1960	4003
3	4565	4003
4	5270	4003

prune185.0ms (10.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	358	0	358
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	358	2	360

Error

Counts

360 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 x (/.f64 y 200))
✓	32.0b	(+.f64 x (*.f64 (neg.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 200))) (/.f64 (sqrt.f64 y) (sqrt.f64 200))))

Compiler

Compiled 7823 to 5091 computations (34.9% saved)

regimes166.0ms (9.7%)

Accuracy

Total 0.0b remaining (13%)

Threshold costs 0.0b (13%)

Counts

37 → 1

Compiler

Compiled 3324 to 2386 computations (28.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	19	7
4	22	7
5	23	7
6	23	7

end39.0ms (2.3%)

Compiler: Compiled 37 to 27 computations (27% saved)

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	36	7
5	60	5
6	93	5
7	116	5
8	146	5
9	168	5
10	200	5
11	213	5
12	216	5
13	178	5

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	36	7
5	60	5
6	93	5
7	116	5
8	146	5
9	168	5
10	200	5
11	213	5
12	216	5
13	178	5

Details

analyze55.0ms (3.2%)

sample761.0ms (44.6%)

simplify15.0ms (0.9%)

prune3.0ms (0.2%)

localize3.0ms (0.2%)

series3.0ms (0.2%)

rewrite11.0ms (0.6%)

simplify93.0ms (5.4%)

prune77.0ms (4.5%)

localize7.0ms (0.4%)

series64.0ms (3.8%)

rewrite76.0ms (4.5%)

simplify147.0ms (8.6%)

prune185.0ms (10.9%)

regimes166.0ms (9.7%)

simplify2.0ms (0.1%)

end39.0ms (2.3%)

Profiling

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	36	7
5	60	5
6	93	5
7	116	5
8	146	5
9	168	5
10	200	5
11	213	5
12	216	5
13	178	5