Details

analyze857.0ms (20.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
18.7%	70.2%	11.1%	11
21.1%	66.7%	12.3%	12
31.6%	55.9%	12.5%	13
34.5%	52.3%	13.2%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.1s (27.1%)

Results

854.0ms	8256×	body	128	valid
218.0ms	2005×	body	128	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`fma-def_binary64`
8×	`+-commutative_binary64`
4×	`associate-+r+_binary64`
4×	`associate-+l+_binary64`
3×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	25	9
3	38	9
4	52	9
5	52	9

prune24.0ms (0.6%)

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
	0.0b	(fma.f64 y (fma.f64 x y z) t)
▶	0.0b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)

Compiler

Compiled 68 to 38 computations (44.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
✓	0.0b	(+.f64 (*.f64 x y) z)
✓	0.1b	(.f64 (+.f64 (.f64 x y) z) y)

series31.0ms (0.7%)

Counts

3 → 120

Calls

3 calls:

17.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
9.0ms	(.f64 (+.f64 (.f64 x y) z) y)
5.0ms	(+.f64 (*.f64 x y) z)

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
7×	`add-log-exp_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64`
5×	`add-cbrt-cube_binary64`

Counts

3 → 50

Calls

3 calls:

5.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
5.0ms	(.f64 (+.f64 (.f64 x y) z) y)
3.0ms	(+.f64 (*.f64 x y) z)

simplify98.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

914×	`fma-neg_binary64`
664×	`associate-+l+_binary64`
377×	`associate-l_binary64`
325×	`fma-def_binary64`
309×	`associate-r_binary64`

Counts

170 → 101

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	1684
1	242	1391
2	671	1381
3	2360	1381
4	4783	1381
5	5523	1381

prune70.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	97	4	101
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	98	5	103

Error

Counts

103 → 5

Alt Table

Status	Error	Program
	0.6b	(+.f64 (.f64 (.f64 (+.f64 (.f64 x y) z) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) t)
	19.6b	(+.f64 (/.f64 (.f64 y (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z))) (-.f64 (.f64 x y) z)) t)
	2.8b	(+.f64 (+.f64 (.f64 y z) (.f64 (pow.f64 y 2) x)) t)
✓	0.0b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
▶	0.6b	(+.f64 (.f64 (.f64 (*.f64 (cbrt.f64 (fma.f64 y x z)) (cbrt.f64 (fma.f64 y x z))) (cbrt.f64 (fma.f64 y x z))) y) t)

Compiler

Compiled 1644 to 455 computations (72.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (*.f64 (cbrt.f64 (fma.f64 y x z)) (cbrt.f64 (fma.f64 y x z))) (cbrt.f64 (fma.f64 y x z))) y)
✓	0.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 y x z)) (cbrt.f64 (fma.f64 y x z))) (cbrt.f64 (fma.f64 y x z)))
✓	0.6b	(*.f64 (cbrt.f64 (fma.f64 y x z)) (cbrt.f64 (fma.f64 y x z)))
✓	0.6b	(cbrt.f64 (fma.f64 y x z))

series108.0ms (2.6%)

Counts

4 → 144

Calls

4 calls:

49.0ms	(*.f64 (cbrt.f64 (fma.f64 y x z)) (cbrt.f64 (fma.f64 y x z)))
41.0ms	(cbrt.f64 (fma.f64 y x z))
11.0ms	(.f64 (.f64 (*.f64 (cbrt.f64 (fma.f64 y x z)) (cbrt.f64 (fma.f64 y x z))) (cbrt.f64 (fma.f64 y x z))) y)
6.0ms	(.f64 (.f64 (cbrt.f64 (fma.f64 y x z)) (cbrt.f64 (fma.f64 y x z))) (cbrt.f64 (fma.f64 y x z)))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`pow1_binary64`
26×	`add-sqr-sqrt_binary64`
23×	`cbrt-prod_binary64`
20×	`add-exp-log_binary64`
16×	`*-un-lft-identity_binary64`

Counts

4 → 116

Calls

4 calls:

10.0ms	(.f64 (.f64 (*.f64 (cbrt.f64 (fma.f64 y x z)) (cbrt.f64 (fma.f64 y x z))) (cbrt.f64 (fma.f64 y x z))) y)
6.0ms	(.f64 (.f64 (cbrt.f64 (fma.f64 y x z)) (cbrt.f64 (fma.f64 y x z))) (cbrt.f64 (fma.f64 y x z)))
4.0ms	(*.f64 (cbrt.f64 (fma.f64 y x z)) (cbrt.f64 (fma.f64 y x z)))
1.0ms	(cbrt.f64 (fma.f64 y x z))

simplify193.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

371×	`associate-r_binary64`
359×	`unswap-sqr_binary64`
320×	`associate-l_binary64`
260×	`times-frac_binary64`
245×	`associate-/r*_binary64`

Counts

260 → 254

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	381	6190
1	1158	5636
2	4035	5337
3	5172	5337

prune352.0ms (8.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	388	0	388
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	388	5	393

Error

Counts

393 → 5

Alt Table

Status	Error	Program
▶	0.6b	(+.f64 (.f64 (.f64 (+.f64 (.f64 x y) z) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) t)
	19.6b	(+.f64 (/.f64 (.f64 y (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z))) (-.f64 (.f64 x y) z)) t)
	2.8b	(+.f64 (+.f64 (.f64 y z) (.f64 (pow.f64 y 2) x)) t)
✓	0.0b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
✓	0.6b	(+.f64 (.f64 (.f64 (*.f64 (cbrt.f64 (fma.f64 y x z)) (cbrt.f64 (fma.f64 y x z))) (cbrt.f64 (fma.f64 y x z))) y) t)

Compiler

Compiled 15287 to 6442 computations (57.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series251.0ms (6%)

Counts

4 → 96

Calls

4 calls:

162.0ms	(.f64 (+.f64 (.f64 x y) z) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
35.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
33.0ms	(cbrt.f64 y)
21.0ms	(.f64 (.f64 (+.f64 (.f64 x y) z) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))

rewrite43.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
25×	`pow1_binary64`
22×	`cbrt-prod_binary64`
20×	`add-exp-log_binary64`
16×	`*-un-lft-identity_binary64`

Counts

4 → 106

Calls

4 calls:

26.0ms	(.f64 (.f64 (+.f64 (.f64 x y) z) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
7.0ms	(.f64 (+.f64 (.f64 x y) z) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
4.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)

simplify183.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

849×	`unswap-sqr_binary64`
830×	`fma-def_binary64`
523×	`*-commutative_binary64`
350×	`log-prod_binary64`
326×	`distribute-rgt-in_binary64`

Counts

202 → 169

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	131	2550
1	310	2217
2	1162	1990
3	2608	1962
4	4534	1950
5	4909	1950
6	4942	1950

prune137.0ms (3.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	207	0	207
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	207	5	212

Error

Counts

212 → 5

Alt Table

Status	Error	Program
✓	0.6b	(+.f64 (.f64 (.f64 (+.f64 (.f64 x y) z) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) t)
	19.6b	(+.f64 (/.f64 (.f64 y (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z))) (-.f64 (.f64 x y) z)) t)
▶	2.8b	(+.f64 (+.f64 (.f64 y z) (.f64 (pow.f64 y 2) x)) t)
✓	0.0b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
✓	0.6b	(+.f64 (.f64 (.f64 (*.f64 (cbrt.f64 (fma.f64 y x z)) (cbrt.f64 (fma.f64 y x z))) (cbrt.f64 (fma.f64 y x z))) y) t)

Compiler

Compiled 4395 to 1240 computations (71.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y z) (.f64 (pow.f64 y 2) x))
✓	0.0b	(+.f64 (+.f64 (.f64 y z) (.f64 (pow.f64 y 2) x)) t)
✓	8.1b	(*.f64 (pow.f64 y 2) x)

series40.0ms (0.9%)

Counts

3 → 57

Calls

3 calls:

19.0ms	(+.f64 (+.f64 (.f64 y z) (.f64 (pow.f64 y 2) x)) t)
13.0ms	(+.f64 (.f64 y z) (.f64 (pow.f64 y 2) x))
8.0ms	(*.f64 (pow.f64 y 2) x)

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
10×	`add-log-exp_binary64`
9×	`*-un-lft-identity_binary64`
8×	`associate-l_binary64`
8×	`add-exp-log_binary64`

Counts

3 → 62

Calls

3 calls:

20.0ms	(+.f64 (.f64 y z) (.f64 (pow.f64 y 2) x))
5.0ms	(+.f64 (+.f64 (.f64 y z) (.f64 (pow.f64 y 2) x)) t)
4.0ms	(*.f64 (pow.f64 y 2) x)

simplify76.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

718×	`unswap-sqr_binary64`
458×	`fma-def_binary64`
372×	`*-commutative_binary64`
360×	`sub-neg_binary64`
299×	`distribute-rgt-in_binary64`

Counts

119 → 109

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	1401
1	270	1313
2	855	1275
3	2559	1275
4	3868	1275
5	5521	1275

prune84.0ms (2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	109	5	114

Error

Counts

114 → 5

Alt Table

Status	Error	Program
✓	0.6b	(+.f64 (.f64 (.f64 (+.f64 (.f64 x y) z) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) t)
	19.6b	(+.f64 (/.f64 (.f64 y (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z))) (-.f64 (.f64 x y) z)) t)
✓	2.8b	(+.f64 (+.f64 (.f64 y z) (.f64 (pow.f64 y 2) x)) t)
✓	0.0b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
✓	0.6b	(+.f64 (.f64 (.f64 (*.f64 (cbrt.f64 (fma.f64 y x z)) (cbrt.f64 (fma.f64 y x z))) (cbrt.f64 (fma.f64 y x z))) y) t)

Compiler

Compiled 1918 to 834 computations (56.5% saved)

regimes339.0ms (8%)

Accuracy

Total 0.0b remaining (67.2%)

Threshold costs 0.0b (67.2%)

Counts

62 → 1

Compiler

Compiled 6050 to 3592 computations (40.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11
2	10	11

end71.0ms (1.7%)

Compiler: Compiled 121 to 66 computations (45.5% saved)

Details

analyze857.0ms (20.3%)

sample1.1s (27.1%)

simplify6.0ms (0.1%)

prune24.0ms (0.6%)

localize6.0ms (0.1%)

series31.0ms (0.7%)

rewrite16.0ms (0.4%)

simplify98.0ms (2.3%)

prune70.0ms (1.7%)

localize10.0ms (0.2%)

series108.0ms (2.6%)

rewrite28.0ms (0.7%)

simplify193.0ms (4.6%)

prune352.0ms (8.4%)

localize10.0ms (0.2%)

series251.0ms (6%)

rewrite43.0ms (1%)

simplify183.0ms (4.3%)

prune137.0ms (3.3%)

localize8.0ms (0.2%)

series40.0ms (0.9%)

rewrite30.0ms (0.7%)

simplify76.0ms (1.8%)

prune84.0ms (2%)

regimes339.0ms (8%)

simplify2.0ms (0%)

end71.0ms (1.7%)

Profiling