Details

analyze300.0ms (8%)

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)

sample38.0ms (1%)

Algorithm

1×

intervals

Symmetry

(sort x y)

Results

6.0ms	256×	body	128	valid
1.0ms	20×	body	128	invalid

Compiler

Compiled 20 to 14 computations (30% 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

prune2.0ms (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

5.6b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	5.6b	(/.f64 (*.f64 x y) z)

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.4b	(/.f64 (*.f64 x y) z)

series16.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

15.0ms

(/.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)

simplify113.0ms (3%)

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 (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	29	7	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	8	37

Error

0.0b

Counts

37 → 8

Alt Table

Status	Error	Program
	6.4b	(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 x y) z)) (cbrt.f64 (/.f64 (.f64 x y) z))) (cbrt.f64 (/.f64 (*.f64 x y) z)))
✓	5.6b	(/.f64 (*.f64 x y) z)
▶	5.1b	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
	6.5b	(/.f64 (/.f64 (.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
	6.7b	(/.f64 x (/.f64 z y))
	5.9b	(.f64 (.f64 x y) (/.f64 1 z))
	6.0b	(/.f64 1 (/.f64 z (*.f64 x y)))
	6.9b	(*.f64 x (/.f64 y z))

Compiler

Compiled 531 to 207 computations (61% saved)

localize7.0ms (0.2%)

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)
✓	4.2b	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))

series611.0ms (16.2%)

Counts

4 → 84

Calls

4 calls:

489.0ms	(/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
44.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
43.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
35.0ms	(cbrt.f64 z)

rewrite37.0ms (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:

19.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
4.0ms	(/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
4.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)

simplify129.0ms (3.4%)

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

prune129.0ms (3.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

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

Error

Counts

260 → 9

Alt Table

Status	Error	Program
	6.4b	(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 x y) z)) (cbrt.f64 (/.f64 (.f64 x y) z))) (cbrt.f64 (/.f64 (*.f64 x y) z)))
✓	5.6b	(/.f64 (*.f64 x y) z)
	5.9b	(.f64 (.f64 x y) (/.f64 1 z))
▶	5.3b	(.f64 (/.f64 x (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z)))
✓	5.1b	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
	6.5b	(/.f64 (/.f64 (.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
	6.7b	(/.f64 x (/.f64 z y))
	6.0b	(/.f64 1 (/.f64 z (*.f64 x y)))
	6.9b	(*.f64 x (/.f64 y z))

Compiler

Compiled 4623 to 1259 computations (72.8% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
✓	0.6b	(cbrt.f64 (cbrt.f64 z))
	0.6b	(cbrt.f64 z)
✓	4.2b	(.f64 (/.f64 x (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z)))

series625.0ms (16.6%)

Counts

3 → 60

Calls

3 calls:

323.0ms

(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))

259.0ms

(cbrt.f64 (cbrt.f64 z))

43.0ms

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

rewrite28.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-exp-log_binary64`
28×	`add-sqr-sqrt_binary64`
23×	`times-frac_binary64`
23×	`add-cbrt-cube_binary64`
22×	`associate-r_binary64`

Counts

3 → 89

Calls

3 calls:

16.0ms

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

2.0ms

(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))

1.0ms

(cbrt.f64 (cbrt.f64 z))

simplify158.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

523×	`*-commutative_binary64`
431×	`associate-/r/_binary64`
351×	`fma-def_binary64`
224×	`log-prod_binary64`
205×	`cube-prod_binary64`

Counts

149 → 138

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	173	3530
1	452	2757
2	1991	2444
3	3088	1680
4	4173	1654
5	4907	1654
6	5000	1654
7	4933	1654

prune117.0ms (3.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	228	0	228
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	228	9	237

Error

Counts

237 → 9

Alt Table

Status	Error	Program
	6.4b	(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 x y) z)) (cbrt.f64 (/.f64 (.f64 x y) z))) (cbrt.f64 (/.f64 (*.f64 x y) z)))
✓	5.6b	(/.f64 (*.f64 x y) z)
▶	5.9b	(.f64 (.f64 x y) (/.f64 1 z))
✓	5.3b	(.f64 (/.f64 x (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z)))
✓	5.1b	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
	6.5b	(/.f64 (/.f64 (.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
	6.7b	(/.f64 x (/.f64 z y))
	6.0b	(/.f64 1 (/.f64 z (*.f64 x y)))
	6.9b	(*.f64 x (/.f64 y z))

Compiler

Compiled 5969 to 1228 computations (79.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.7b	(.f64 (.f64 x y) (/.f64 1 z))

series13.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

12.0ms

(*.f64 (*.f64 x y) (/.f64 1 z))

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-exp-log_binary64`
13×	`associate-r_binary64`
13×	`add-cbrt-cube_binary64`
12×	`prod-exp_binary64`
9×	`times-frac_binary64`

Counts

1 → 40

Calls

1 calls:

6.0ms

(*.f64 (*.f64 x y) (/.f64 1 z))

simplify111.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

714×	`times-frac_binary64`
499×	`fabs-mul_binary64`
408×	`pow-sqr_binary64`
379×	`associate-/r*_binary64`
375×	`sqr-pow_binary64`

Counts

76 → 58

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	69	678
1	157	600
2	507	600
3	1128	600
4	2644	600
5	3000	600
6	3364	600
7	3866	600
8	4570	600
9	4685	600
10	5107	600

prune37.0ms (1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	58	9	67

Error

Counts

67 → 9

Alt Table

Status	Error	Program
	6.4b	(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 x y) z)) (cbrt.f64 (/.f64 (.f64 x y) z))) (cbrt.f64 (/.f64 (*.f64 x y) z)))
✓	5.6b	(/.f64 (*.f64 x y) z)
✓	5.9b	(.f64 (.f64 x y) (/.f64 1 z))
✓	5.3b	(.f64 (/.f64 x (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z)))
✓	5.1b	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
	6.5b	(/.f64 (/.f64 (.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
	6.7b	(/.f64 x (/.f64 z y))
	6.0b	(/.f64 1 (/.f64 z (*.f64 x y)))
	6.9b	(*.f64 x (/.f64 y z))

Compiler

Compiled 850 to 411 computations (51.6% saved)

regimes351.0ms (9.3%)

Accuracy

Total 0.3b remaining (93.6%)

Threshold costs 0.3b (93.6%)

Counts

31 → 5

Compiler

Compiled 2989 to 1569 computations (47.5% saved)

bsearch1.0ms (0%)

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

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`if-if-or-not_binary64`
1×	`/-rgt-identity_binary64`
1×	`1-exp_binary64`
1×	`if-not_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	66
1	32	61
2	35	61
3	38	59
4	38	59
5	39	59
6	38	59

end7.0ms (0.2%)

Compiler: Compiled 129 to 66 computations (48.8% saved)

sample862.0ms (22.9%)

Algorithm

1×

intervals

Results

230.0ms	8000×	body	128	valid
23.0ms	733×	body	128	invalid

Compiler

Compiled 175 to 96 computations (45.1% saved)

Details

analyze300.0ms (8%)

sample38.0ms (1%)

simplify7.0ms (0.2%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series16.0ms (0.4%)

rewrite4.0ms (0.1%)

simplify113.0ms (3%)

prune27.0ms (0.7%)

localize7.0ms (0.2%)

series611.0ms (16.2%)

rewrite37.0ms (1%)

simplify129.0ms (3.4%)

prune129.0ms (3.4%)

localize14.0ms (0.4%)

series625.0ms (16.6%)

rewrite28.0ms (0.8%)

simplify158.0ms (4.2%)

prune117.0ms (3.1%)

localize5.0ms (0.1%)

series13.0ms (0.3%)

rewrite11.0ms (0.3%)

simplify111.0ms (2.9%)

prune37.0ms (1%)

regimes351.0ms (9.3%)

bsearch1.0ms (0%)

simplify5.0ms (0.1%)

end7.0ms (0.2%)

sample862.0ms (22.9%)

Profiling