Details

analyze341.0ms (11.1%)

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
31.2%	68.6%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
54.6%	41.3%	4%	10
59.3%	36.7%	4%	11
61.6%	32.6%	5.8%	12
68.3%	22.7%	9%	13
71%	20%	9%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample865.0ms (28.2%)

Symmetry

(sort x y)

Results

760.0ms	8256×	body	128	valid
69.0ms	800×	body	128	invalid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	13	7
3	16	7
4	17	7
5	17	7

prune1.0ms (0%)

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

6.9b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	6.9b	(/.f64 (*.f64 x y) z)

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.7b	(/.f64 (*.f64 x y) z)

series16.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

16.0ms

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

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
3×	`associate-/r*_binary64`
3×	`*-un-lft-identity_binary64`
3×	`times-frac_binary64`

Counts

1 → 23

Calls

1 calls:

3.0ms

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

simplify109.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1034×	`associate-/r/_binary64`
1020×	`div-sub_binary64`
899×	`associate-/r*_binary64`
356×	`associate-/l*_binary64`
354×	`sub-neg_binary64`

Counts

59 → 36

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	513
1	118	468
2	408	468
3	1644	468
4	1898	468
5	2032	468
6	2452	468
7	3371	468
8	3480	468
9	4398	468
10	4999	468
11	4859	468

prune27.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	28	8	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	8	37

Error

0.0b

Counts

37 → 8

Alt Table

Status	Error	Program
	36.5b	(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
	7.2b	(/.f64 1 (/.f64 z (*.f64 x y)))
▶	7.0b	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
	7.8b	(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 x y) z)) (cbrt.f64 (/.f64 (.f64 x y) z))) (cbrt.f64 (/.f64 (*.f64 x y) z)))
	7.0b	(.f64 (.f64 x y) (/.f64 1 z))
	7.1b	(*.f64 x (/.f64 y z))
	7.7b	(/.f64 (/.f64 (.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
	7.3b	(/.f64 x (/.f64 z y))

Compiler

Compiled 547 to 216 computations (60.5% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
✓	0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
✓	0.6b	(cbrt.f64 z)
✓	6.0b	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))

series586.0ms (19.1%)

Counts

4 → 84

Calls

4 calls:

466.0ms	(/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
41.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
41.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
38.0ms	(cbrt.f64 z)

rewrite31.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64`
32×	`add-exp-log_binary64`
31×	`times-frac_binary64`
30×	`cbrt-prod_binary64`
30×	`*-un-lft-identity_binary64`

Counts

4 → 139

Calls

4 calls:

12.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
4.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
4.0ms	(/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)

simplify121.0ms (4%)

Algorithm

1×	egg-herbie

Rules

527×	`fma-neg_binary64`
499×	`associate-/r/_binary64`
434×	`*-commutative_binary64`
328×	`unswap-sqr_binary64`
168×	`fma-def_binary64`

Counts

223 → 216

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	182	3283
1	439	2349
2	1916	2292
3	2649	2238
4	4581	2238
5	4930	2238

prune122.0ms (4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	250	2	252
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	251	9	260

Error

0.0b

Counts

260 → 9

Alt Table

Status	Error	Program
	36.5b	(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
✓	7.0b	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
▶	6.9b	(/.f64 (*.f64 y x) z)
	7.2b	(.f64 (/.f64 x (.f64 (.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z)))
	7.8b	(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 x y) z)) (cbrt.f64 (/.f64 (.f64 x y) z))) (cbrt.f64 (/.f64 (*.f64 x y) z)))
	7.0b	(.f64 (.f64 x y) (/.f64 1 z))
	7.1b	(*.f64 x (/.f64 y z))
	7.7b	(/.f64 (/.f64 (.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
	7.3b	(/.f64 x (/.f64 z y))

Compiler

Compiled 4637 to 1262 computations (72.8% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.7b	(/.f64 (*.f64 y x) z)

series19.0ms (0.6%)

Counts

1 → 0

Calls

1 calls:

19.0ms

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

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
3×	`associate-/r*_binary64`
3×	`*-un-lft-identity_binary64`
3×	`times-frac_binary64`

Counts

1 → 23

Calls

1 calls:

3.0ms

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

simplify97.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1114×	`div-sub_binary64`
994×	`associate-/r/_binary64`
985×	`fma-neg_binary64`
841×	`fma-def_binary64`
355×	`associate-/l*_binary64`

Counts

23 → 28

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	261
1	117	216
2	399	216
3	1584	216
4	1842	216
5	1965	216
6	2373	216
7	3409	216
8	4190	216
9	4557	216
10	4731	216

prune24.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	5	2	7
Picked	1	0	1
Done	0	1	1
Total	31	6	37

Error

Counts

37 → 6

Alt Table

Status	Error	Program
	5.8b	(/.f64 y (/.f64 z x))
	7.2b	(/.f64 1 (/.f64 z (*.f64 y x)))
▶	5.7b	(*.f64 y (/.f64 x z))
✓	7.0b	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
	7.1b	(*.f64 x (/.f64 y z))
	7.3b	(/.f64 x (/.f64 z y))

Compiler

Compiled 369 to 148 computations (59.9% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.5b	(*.f64 y (/.f64 x z))

series13.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

13.0ms

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

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64`

Counts

1 → 34

Calls

1 calls:

5.0ms

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

simplify96.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

659×	`sqr-pow_binary64`
442×	`pow-sqr_binary64`
432×	`associate-/l/_binary64`
370×	`fabs-mul_binary64`
317×	`associate-/r*_binary64`

Counts

70 → 48

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	71	642
1	162	597
2	524	597
3	1383	597
4	2291	597
5	2423	597
6	2658	597
7	2981	597
8	3416	597
9	4100	597
10	5278	597

prune26.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	48	6	54

Error

Counts

54 → 6

Alt Table

Status	Error	Program
	5.8b	(/.f64 y (/.f64 z x))
	7.2b	(/.f64 1 (/.f64 z (*.f64 y x)))
✓	5.7b	(*.f64 y (/.f64 x z))
✓	7.0b	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
	7.1b	(*.f64 x (/.f64 y z))
	7.3b	(/.f64 x (/.f64 z y))

Compiler

Compiled 584 to 187 computations (68% saved)

regimes299.0ms (9.8%)

Accuracy

Total 0.8b remaining (98.7%)

Threshold costs 0.8b (98.7%)

Counts

29 → 5

Compiler

Compiled 2148 to 1204 computations (43.9% saved)

bsearch1.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	71
1	32	71
2	31	71

end226.0ms (7.4%)

Compiler: Compiled 265 to 127 computations (52.1% saved)

Details

analyze341.0ms (11.1%)

sample865.0ms (28.2%)

simplify7.0ms (0.2%)

prune1.0ms (0%)

localize3.0ms (0.1%)

series16.0ms (0.5%)

rewrite4.0ms (0.1%)

simplify109.0ms (3.6%)

prune27.0ms (0.9%)

localize8.0ms (0.3%)

series586.0ms (19.1%)

rewrite31.0ms (1%)

simplify121.0ms (4%)

prune122.0ms (4%)

localize4.0ms (0.1%)

series19.0ms (0.6%)

rewrite4.0ms (0.1%)

simplify97.0ms (3.2%)

prune24.0ms (0.8%)

localize3.0ms (0.1%)

series13.0ms (0.4%)

rewrite6.0ms (0.2%)

simplify96.0ms (3.1%)

prune26.0ms (0.8%)

regimes299.0ms (9.8%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end226.0ms (7.4%)

Profiling