Details

analyze634.0ms (20.4%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
55.6%	39.2%	5.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.4s (45.5%)

Results

1.2s	8256×	body	128	valid
141.0ms	946×	body	128	invalid

Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify111.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

925×	`fma-neg_binary64`
880×	`div-sub_binary64`
795×	`fma-def_binary64`
774×	`times-frac_binary64`
463×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	24	16
2	57	14
3	172	14
4	408	14
5	1241	11
6	2694	11
7	4033	11
8	4216	11
9	4586	11
10	4475	11
11	4492	11
12	4700	11

prune5.0ms (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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 4 (/.f64 (-.f64 x y) z) -2)

Compiler

Compiled 44 to 30 computations (31.8% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.3%)

Counts

1 → 28

Calls

1 calls:

9.0ms

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

rewrite157.0ms (5.1%)

Algorithm

2×	batch-egg-rewrite

Rules

835×	`log1p-expm1-u_binary64`
835×	`expm1-log1p-u_binary64`
541×	`prod-diff_binary64`
180×	`egg-rr`
74×	`add-sqr-sqrt_binary64`

Counts

1 → 180

Calls

1 calls:

146.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	138	7
2	2019	7
3	6185	7
0	0	0
1	0	0

simplify39.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

279×	`fma-def_binary64`
145×	`fma-neg_binary64`
54×	`cancel-sign-sub-inv_binary64`
40×	`distribute-rgt-in_binary64`
40×	`unsub-neg_binary64`

Counts

208 → 184

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	250
1	24	250
2	45	228
3	83	184
4	135	184
5	247	184
6	349	184
7	354	184
8	400	184
9	407	184
10	412	184
11	379	184

prune158.0ms (5.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	183	1	184
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	183	2	185

Error

Counts

185 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
▶	11.6b	(fma.f64 4 (.f64 (/.f64 1 (cbrt.f64 (.f64 z z))) (/.f64 (-.f64 x y) (cbrt.f64 z))) -2)

Compiler

Compiled 7078 to 1888 computations (73.3% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (cbrt.f64 (*.f64 z z)))
✓	0.4b	(.f64 (/.f64 1 (cbrt.f64 (.f64 z z))) (/.f64 (-.f64 x y) (cbrt.f64 z)))
✓	0.6b	(cbrt.f64 z)
✓	24.1b	(cbrt.f64 (*.f64 z z))

series152.0ms (4.9%)

Counts

4 → 72

Calls

4 calls:

50.0ms	(cbrt.f64 z)
35.0ms	(.f64 (/.f64 1 (cbrt.f64 (.f64 z z))) (/.f64 (-.f64 x y) (cbrt.f64 z)))
33.0ms	(cbrt.f64 (*.f64 z z))
33.0ms	(/.f64 1 (cbrt.f64 (*.f64 z z)))

rewrite88.0ms (2.8%)

Algorithm

2×	batch-egg-rewrite

Rules

574×	`prod-diff_binary64`
214×	`expm1-udef_binary64`
214×	`log1p-udef_binary64`
138×	`egg-rr`
125×	`add-sqr-sqrt_binary64`

Counts

4 → 138

Calls

4 calls:

85.0ms	(/.f64 1 (cbrt.f64 (*.f64 z z)))
85.0ms	(.f64 (/.f64 1 (cbrt.f64 (.f64 z z))) (/.f64 (-.f64 x y) (cbrt.f64 z)))
85.0ms	(cbrt.f64 z)
85.0ms	(cbrt.f64 (*.f64 z z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	255	25
2	3315	25
3	5124	25
0	0	0
1	0	0

simplify98.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

714×	`fma-def_binary64`
549×	`div-sub_binary64`
445×	`fma-neg_binary64`
429×	`sub-neg_binary64`
385×	`distribute-neg-frac_binary64`

Counts

210 → 148

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	512
1	66	512
2	130	512
3	298	504
4	810	504
5	2565	504
6	4177	504
7	4436	504
8	4945	504
9	4800	504

prune81.0ms (2.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	148	2	150

Error

Counts

150 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
✓	11.6b	(fma.f64 4 (.f64 (/.f64 1 (cbrt.f64 (.f64 z z))) (/.f64 (-.f64 x y) (cbrt.f64 z))) -2)

Compiler

Compiled 2595 to 1177 computations (54.6% saved)

regimes84.0ms (2.7%)

Accuracy

Total 0.0b remaining (16.7%)

Threshold costs 0.0b (16.7%)

Counts

10 → 1

Compiler

Compiled 744 to 546 computations (26.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	11	11
2	16	11
3	18	11
4	19	11
5	19	11

end56.0ms (1.8%)

Compiler: Compiled 52 to 38 computations (26.9% saved)

Iter	Nodes	Cost
0	12	250
1	24	250
2	45	228
3	83	184
4	135	184
5	247	184
6	349	184
7	354	184
8	400	184
9	407	184
10	412	184
11	379	184

Iter	Nodes	Cost
0	12	250
1	24	250
2	45	228
3	83	184
4	135	184
5	247	184
6	349	184
7	354	184
8	400	184
9	407	184
10	412	184
11	379	184

Details

analyze634.0ms (20.4%)

sample1.4s (45.5%)

simplify111.0ms (3.6%)

prune5.0ms (0.1%)

localize7.0ms (0.2%)

series9.0ms (0.3%)

rewrite157.0ms (5.1%)

simplify39.0ms (1.2%)

prune158.0ms (5.1%)

localize11.0ms (0.4%)

series152.0ms (4.9%)

rewrite88.0ms (2.8%)

simplify98.0ms (3.2%)

prune81.0ms (2.6%)

regimes84.0ms (2.7%)

simplify2.0ms (0.1%)

end56.0ms (1.8%)

Profiling

Iter	Nodes	Cost
0	12	250
1	24	250
2	45	228
3	83	184
4	135	184
5	247	184
6	349	184
7	354	184
8	400	184
9	407	184
10	412	184
11	379	184